--- _id: '55280' author: - first_name: Ch. full_name: Elsholtz, Ch. last_name: Elsholtz - first_name: B. full_name: Klahn, B. last_name: Klahn - first_name: Marc full_name: Technau, Marc id: '106108' last_name: Technau orcid: 0000-0001-9650-2459 citation: ama: Elsholtz Ch, Klahn B, Technau M. On polynomials with roots modulo almost all primes. Acta Arith. 2022;205:3(3):251–263. doi:10.4064/aa220407-9-7 apa: Elsholtz, Ch., Klahn, B., & Technau, M. (2022). On polynomials with roots modulo almost all primes. Acta Arith., 205:3(3), 251–263. https://doi.org/10.4064/aa220407-9-7 bibtex: '@article{Elsholtz_Klahn_Technau_2022, title={On polynomials with roots modulo almost all primes}, volume={205:3}, DOI={10.4064/aa220407-9-7}, number={3}, journal={Acta Arith.}, author={Elsholtz, Ch. and Klahn, B. and Technau, Marc}, year={2022}, pages={251–263} }' chicago: 'Elsholtz, Ch., B. Klahn, and Marc Technau. “On Polynomials with Roots modulo Almost All Primes.” Acta Arith. 205:3, no. 3 (2022): 251–263. https://doi.org/10.4064/aa220407-9-7.' ieee: 'Ch. Elsholtz, B. Klahn, and M. Technau, “On polynomials with roots modulo almost all primes,” Acta Arith., vol. 205:3, no. 3, pp. 251–263, 2022, doi: 10.4064/aa220407-9-7.' mla: Elsholtz, Ch., et al. “On Polynomials with Roots modulo Almost All Primes.” Acta Arith., vol. 205:3, no. 3, 2022, pp. 251–263, doi:10.4064/aa220407-9-7. short: Ch. Elsholtz, B. Klahn, M. Technau, Acta Arith. 205:3 (2022) 251–263. date_created: 2024-07-16T11:09:01Z date_updated: 2024-07-24T07:26:22Z department: - _id: '102' doi: 10.4064/aa220407-9-7 extern: '1' issue: '3' language: - iso: eng page: 251–263 publication: Acta Arith. status: public title: On polynomials with roots modulo almost all primes type: journal_article user_id: '106108' volume: 205:3 year: '2022' ... --- _id: '35674' abstract: - lang: eng text: We report on our work with students in our data science courses, focusing on the analysis of students’ results. This study represents an in-depth analysis of students’ creation and documentation of machine learning models. The students were supported by educationally designed Jupyter Notebooks, which are used as worked examples. Using the worked example, students document their results in a so-called computational essay. We examine which aspects of creating computational essays are difficult for students to find out how worked examples should be designed to support students without being too prescriptive. We analyze the computational essays produced by students and draw consequences for redesigning our worked example. author: - first_name: Franz Yannik full_name: Fleischer, Franz Yannik id: '42660' last_name: Fleischer orcid: https://orcid.org/0000-0003-0318-0329 - first_name: Sven full_name: Hüsing, Sven id: '58465' last_name: Hüsing - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Susanne full_name: Podworny, Susanne id: '30619' last_name: Podworny orcid: 0000-0002-6313-5987 - first_name: Carsten full_name: Schulte, Carsten id: '60311' last_name: Schulte citation: ama: 'Fleischer FY, Hüsing S, Biehler R, Podworny S, Schulte C. Jupyter Notebooks for Teaching, Learning, and Doing Data Science. In: Peters SA, Zapata-Cardona L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education; 2022. doi:10.52041/iase.icots11.t10e3' apa: 'Fleischer, F. Y., Hüsing, S., Biehler, R., Podworny, S., & Schulte, C. (2022). Jupyter Notebooks for Teaching, Learning, and Doing Data Science. In S. A. Peters, L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics. International Association for Statistical Education. https://doi.org/10.52041/iase.icots11.t10e3' bibtex: '@inproceedings{Fleischer_Hüsing_Biehler_Podworny_Schulte_2022, title={Jupyter Notebooks for Teaching, Learning, and Doing Data Science}, DOI={10.52041/iase.icots11.t10e3}, booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}, publisher={International Association for Statistical Education}, author={Fleischer, Franz Yannik and Hüsing, Sven and Biehler, Rolf and Podworny, Susanne and Schulte, Carsten}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022} }' chicago: 'Fleischer, Franz Yannik, Sven Hüsing, Rolf Biehler, Susanne Podworny, and Carsten Schulte. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t10e3.' ieee: 'F. Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, and C. Schulte, “Jupyter Notebooks for Teaching, Learning, and Doing Data Science,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, 2022, doi: 10.52041/iase.icots11.t10e3.' mla: 'Fleischer, Franz Yannik, et al. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, edited by S. A. Peters et al., International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t10e3.' short: 'F.Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, C. Schulte, in: S.A. Peters, L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, International Association for Statistical Education, 2022.' date_created: 2023-01-10T08:50:47Z date_updated: 2024-08-21T10:03:47Z department: - _id: '363' - _id: '67' doi: 10.52041/iase.icots11.t10e3 editor: - first_name: S. A. full_name: Peters, S. A. last_name: Peters - first_name: L. full_name: Zapata-Cardona, L. last_name: Zapata-Cardona - first_name: F. full_name: Bonafini, F. last_name: Bonafini - first_name: A. full_name: Fan, A. last_name: Fan language: - iso: eng publication: 'Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics' publication_status: published publisher: International Association for Statistical Education status: public title: Jupyter Notebooks for Teaching, Learning, and Doing Data Science type: conference user_id: '37888' year: '2022' ... --- _id: '35672' abstract: - lang: eng text: This study examines modelling with machine learning. In the context of a yearlong data science course, the study explores how upper secondary students apply machine learning with Jupyter Notebooks and document the modelling process as a computational essay incorporating the different steps of the CRISP-DM cycle. The students’ work is based on a teaching module about decision trees in machine learning and a worked example of such a modelling process. The study outlines the students’ performance in carrying out the machine learning technically and reasoning about bias in the data, different data preparation steps, the application context, and the resulting decision model. Furthermore, the context of the study and the theoretical backgrounds are presented. article_number: '7' author: - first_name: Franz Yannik full_name: Fleischer, Franz Yannik id: '42660' last_name: Fleischer orcid: https://orcid.org/0000-0003-0318-0329 - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Carsten full_name: Schulte, Carsten id: '60311' last_name: Schulte citation: ama: Fleischer FY, Biehler R, Schulte C. Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks. Statistics Education Research Journal. 2022;21(2). doi:10.52041/serj.v21i2.61 apa: Fleischer, F. Y., Biehler, R., & Schulte, C. (2022). Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks. Statistics Education Research Journal, 21(2), Article 7. https://doi.org/10.52041/serj.v21i2.61 bibtex: '@article{Fleischer_Biehler_Schulte_2022, title={Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks}, volume={21}, DOI={10.52041/serj.v21i2.61}, number={27}, journal={Statistics Education Research Journal}, publisher={International Association for Statistical Education}, author={Fleischer, Franz Yannik and Biehler, Rolf and Schulte, Carsten}, year={2022} }' chicago: Fleischer, Franz Yannik, Rolf Biehler, and Carsten Schulte. “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks.” Statistics Education Research Journal 21, no. 2 (2022). https://doi.org/10.52041/serj.v21i2.61. ieee: 'F. Y. Fleischer, R. Biehler, and C. Schulte, “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks,” Statistics Education Research Journal, vol. 21, no. 2, Art. no. 7, 2022, doi: 10.52041/serj.v21i2.61.' mla: Fleischer, Franz Yannik, et al. “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks.” Statistics Education Research Journal, vol. 21, no. 2, 7, International Association for Statistical Education, 2022, doi:10.52041/serj.v21i2.61. short: F.Y. Fleischer, R. Biehler, C. Schulte, Statistics Education Research Journal 21 (2022). date_created: 2023-01-10T08:48:23Z date_updated: 2024-08-21T10:04:41Z department: - _id: '363' - _id: '67' doi: 10.52041/serj.v21i2.61 intvolume: ' 21' issue: '2' keyword: - Education - Statistics and Probability language: - iso: eng publication: Statistics Education Research Journal publication_identifier: issn: - 1570-1824 publication_status: published publisher: International Association for Statistical Education status: public title: Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks type: journal_article user_id: '37888' volume: 21 year: '2022' ... --- _id: '37470' abstract: - lang: eng text: 'AbstractWhen the COVID-19 pandemic began, many universities switched to fully online teaching. This unexpected switching to online teaching was challenging for both teachers and students, and restrictions that were put in place because of pandemic made this challenge even greater. However, new ways of teaching might also open new opportunities for students’ learning. The research question driving our study was as follows: how do students regulate their learning and specifically their choice of resources and peer learning in university mathematics classes that are fully taught online as offered during the COVID-19 pandemic? We report on a longitudinal, qualitative study in which students recorded a brief audio diary twice a week over one whole semester (14 weeks). We focused on three students who completed 70 interviews in total and finished the semester with varying degrees of success. The results show how the students structured their studying (e.g., the roles that deadlines or synchronous teaching events played). They illustrate the strengths and limitations of digital materials provided by the lecturer and the use of complementary media. Further, the pandemic uncovered the double-edged role of simple, often anonymous exchanges (e.g., via Discord servers), with few binding forces for either side, and the significance of stable learning partnerships for students’ success. Our research highlights aspects that should be focal points when comparing traditional instruction and online instruction during the pandemic from a self-regulatory perspective. Practical implications refer to how these aspects can be combined sensibly in fully online courses, but also in blended learning contexts.' author: - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer - first_name: Leander full_name: Kempen, Leander last_name: Kempen - first_name: Stanislaw full_name: Schukajlow, Stanislaw last_name: Schukajlow citation: ama: 'Liebendörfer M, Kempen L, Schukajlow S. First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study. ZDM – Mathematics Education. Published online 2022. doi:10.1007/s11858-022-01444-5' apa: 'Liebendörfer, M., Kempen, L., & Schukajlow, S. (2022). First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-022-01444-5' bibtex: '@article{Liebendörfer_Kempen_Schukajlow_2022, title={First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study}, DOI={10.1007/s11858-022-01444-5}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Liebendörfer, Michael and Kempen, Leander and Schukajlow, Stanislaw}, year={2022} }' chicago: 'Liebendörfer, Michael, Leander Kempen, and Stanislaw Schukajlow. “First-Year University Students’ Self-Regulated Learning during the COVID-19 Pandemic: A Qualitative Longitudinal Study.” ZDM – Mathematics Education, 2022. https://doi.org/10.1007/s11858-022-01444-5.' ieee: 'M. Liebendörfer, L. Kempen, and S. Schukajlow, “First-year university students’ self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study,” ZDM – Mathematics Education, 2022, doi: 10.1007/s11858-022-01444-5.' mla: 'Liebendörfer, Michael, et al. “First-Year University Students’ Self-Regulated Learning during the COVID-19 Pandemic: A Qualitative Longitudinal Study.” ZDM – Mathematics Education, Springer Science and Business Media LLC, 2022, doi:10.1007/s11858-022-01444-5.' short: M. Liebendörfer, L. Kempen, S. Schukajlow, ZDM – Mathematics Education (2022). date_created: 2023-01-18T22:22:25Z date_updated: 2023-01-18T22:44:06Z department: - _id: '10' doi: 10.1007/s11858-022-01444-5 keyword: - General Mathematics - Education language: - iso: eng publication: ZDM – Mathematics Education publication_identifier: issn: - 1863-9690 - 1863-9704 publication_status: published publisher: Springer Science and Business Media LLC status: public title: 'First-year university students'' self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study' type: journal_article user_id: '30933' year: '2022' ... --- _id: '37472' abstract: - lang: eng text: AbstractAs earlier research results suggest that many mathematics teaching students criticize a missing relevance in their studies, we explore explanations and interrelationships of their relevance assessments. We aim at finding out how one could support the students in attributing relevance to their study programs. A two-fold model for relevance assessments in mathematics teacher education is proposed, consisting of relevance content and relevance reasons. We investigate students' relevance perceptions of mathematical topics and of topics’ complexities, as well as their rating of individual and societal/ vocational relevance reasons, all in relation to their perception of the relevance of their overall program of study. Contrary to earlier research findings, our results suggest that mathematics teaching students already do attribute relevance to many content areas and that a preparation for the teaching profession is not the only reason for them to assign relevance. There also seem to be many students who would attribute relevance if they could develop as individuals and pursue their interests. We suggest that giving students opportunities to set individual priorities in their studies could hence support their relevance assessments. As low relevance assessments seem to be connected to students’ motivational problems, students might profit from motivational support, as well. author: - first_name: Christiane full_name: Büdenbender-Kuklinski, Christiane last_name: Büdenbender-Kuklinski - first_name: Reinhard full_name: Hochmuth, Reinhard last_name: Hochmuth - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer citation: ama: Büdenbender-Kuklinski C, Hochmuth R, Liebendörfer M. Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students. International Journal of Research in Undergraduate Mathematics Education. Published online 2022. doi:10.1007/s40753-022-00188-7 apa: Büdenbender-Kuklinski, C., Hochmuth, R., & Liebendörfer, M. (2022). Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students. International Journal of Research in Undergraduate Mathematics Education. https://doi.org/10.1007/s40753-022-00188-7 bibtex: '@article{Büdenbender-Kuklinski_Hochmuth_Liebendörfer_2022, title={Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students}, DOI={10.1007/s40753-022-00188-7}, journal={International Journal of Research in Undergraduate Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Büdenbender-Kuklinski, Christiane and Hochmuth, Reinhard and Liebendörfer, Michael}, year={2022} }' chicago: Büdenbender-Kuklinski, Christiane, Reinhard Hochmuth, and Michael Liebendörfer. “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students.” International Journal of Research in Undergraduate Mathematics Education, 2022. https://doi.org/10.1007/s40753-022-00188-7. ieee: 'C. Büdenbender-Kuklinski, R. Hochmuth, and M. Liebendörfer, “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students,” International Journal of Research in Undergraduate Mathematics Education, 2022, doi: 10.1007/s40753-022-00188-7.' mla: Büdenbender-Kuklinski, Christiane, et al. “Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students.” International Journal of Research in Undergraduate Mathematics Education, Springer Science and Business Media LLC, 2022, doi:10.1007/s40753-022-00188-7. short: C. Büdenbender-Kuklinski, R. Hochmuth, M. Liebendörfer, International Journal of Research in Undergraduate Mathematics Education (2022). date_created: 2023-01-18T22:22:49Z date_updated: 2023-01-18T22:43:43Z department: - _id: '10' doi: 10.1007/s40753-022-00188-7 keyword: - Education - Mathematics (miscellaneous) language: - iso: eng publication: International Journal of Research in Undergraduate Mathematics Education publication_identifier: issn: - 2198-9745 - 2198-9753 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students type: journal_article user_id: '30933' year: '2022' ... --- _id: '35528' author: - first_name: Johannes full_name: Lankeit, Johannes last_name: Lankeit - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749. apa: Lankeit, J., & Winkler, M. (2022). Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Nonlinearity, 35, 719–749. bibtex: '@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary}, volume={35}, journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={719–749} }' chicago: 'Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity 35 (2022): 719–49.' ieee: J. Lankeit and M. Winkler, “Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary,” Nonlinearity, vol. 35, pp. 719–749, 2022. mla: Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity, vol. 35, 2022, pp. 719–49. short: J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749. date_created: 2023-01-09T15:33:38Z date_updated: 2023-01-20T13:18:15Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 35' language: - iso: eng page: 719-749 publication: Nonlinearity status: public title: Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary type: journal_article user_id: '15645' volume: 35 year: '2022' ... --- _id: '35568' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics. 2022;389:439-489. apa: Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. Communications in Mathematical Physics, 389, 439–489. bibtex: '@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489} }' chicago: 'Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics 389 (2022): 439–89.' ieee: M. Winkler, “Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.,” Communications in Mathematical Physics, vol. 389, pp. 439–489, 2022. mla: Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” Communications in Mathematical Physics, vol. 389, 2022, pp. 439–89. short: M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489. date_created: 2023-01-09T16:32:21Z date_updated: 2023-01-20T13:17:37Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 389' language: - iso: eng page: 439-489 publication: Communications in Mathematical Physics status: public title: Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. type: journal_article user_id: '15645' volume: 389 year: '2022' ... --- _id: '35574' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society. 2022;124:133-181. apa: Winkler, M. (2022). A family of mass-critical Keller-Segel systems. Proceedings of the London Mathematical Society, 124, 133–181. bibtex: '@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.}, volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler, Michael}, year={2022}, pages={133–181} }' chicago: 'Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society 124 (2022): 133–81.' ieee: M. Winkler, “A family of mass-critical Keller-Segel systems.,” Proceedings of the London Mathematical Society, vol. 124, pp. 133–181, 2022. mla: Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings of the London Mathematical Society, vol. 124, 2022, pp. 133–81. short: M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181. date_created: 2023-01-09T16:35:09Z date_updated: 2023-01-20T13:17:33Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 124' language: - iso: eng page: 133-181 publication: Proceedings of the London Mathematical Society status: public title: A family of mass-critical Keller-Segel systems. type: journal_article user_id: '15645' volume: 124 year: '2022' ... --- _id: '35483' author: - first_name: Kyungkeun full_name: ' Kang, Kyungkeun' last_name: ' Kang' - first_name: Jihoon full_name: Lee, Jihoon last_name: Lee - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222. apa: Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. Discrete and Continuous Dynamical Systems, 42, 5201–5222. bibtex: '@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems}, author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222} }' chicago: 'Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems 42 (2022): 5201–22.' ieee: K. Kang, J. Lee, and M. Winkler, “Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.,” Discrete and Continuous Dynamical Systems, vol. 42, pp. 5201–5222, 2022. mla: Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022, pp. 5201–22. short: K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 5201–5222. date_created: 2023-01-09T13:02:46Z date_updated: 2023-01-21T09:30:47Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 42' language: - iso: eng page: 5201-5222 publication: Discrete and Continuous Dynamical Systems status: public title: Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$. type: journal_article user_id: '15645' volume: 42 year: '2022' ... --- _id: '38039' abstract: - lang: eng text: We consider the generators $L_k$ of Heckman-Opdam diffusion processes in the compact and non-compact case in $N$ dimensions for root systems of type $A$ and $B$, with a multiplicity function of the form $k=κk_0$ with some fixed value $k_0$ and a varying constant $κ\in\,[0,\infty[$. Using elementary symmetric functions, we present polynomials which are simultaneous eigenfunctions of the $L_k$ for all $κ\in\,]0,\infty[$. This leads to martingales associated with the Heckman-Opdam diffusions $ (X_{t,1},\ldots,X_{t,N})_{t\ge0}$. As our results extend to the freezing case $κ=\infty$ with a deterministic limit after some renormalization, we find formulas for the expectations $\mathbb E(\prod_{j=1}^N(y-X_{t,j})),$ $y\in\mathbb C$. author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: Michael full_name: Voit, Michael last_name: Voit citation: ama: Rösler M, Voit M. Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemporary Mathematics. 2022;(780):243-262. doi:10.48550/ARXIV.2108.03228 apa: Rösler, M., & Voit, M. (2022). Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemporary Mathematics, 780, 243–262. https://doi.org/10.48550/ARXIV.2108.03228 bibtex: '@article{Rösler_Voit_2022, title={Elementary symmetric polynomials and martingales for Heckman-Opdam processes}, DOI={10.48550/ARXIV.2108.03228}, number={780}, journal={Contemporary Mathematics}, author={Rösler, Margit and Voit, Michael}, year={2022}, pages={243–262} }' chicago: 'Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780 (2022): 243–62. https://doi.org/10.48550/ARXIV.2108.03228.' ieee: 'M. Rösler and M. Voit, “Elementary symmetric polynomials and martingales for Heckman-Opdam processes,” Contemporary Mathematics, no. 780, pp. 243–262, 2022, doi: 10.48550/ARXIV.2108.03228.' mla: Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780, 2022, pp. 243–62, doi:10.48550/ARXIV.2108.03228. short: M. Rösler, M. Voit, Contemporary Mathematics (2022) 243–262. conference: name: Hypergeometry, integrability and Lie theory date_created: 2023-01-23T08:31:27Z date_updated: 2023-01-24T22:16:21Z department: - _id: '555' doi: 10.48550/ARXIV.2108.03228 issue: '780' language: - iso: eng page: 243-262 publication: Contemporary Mathematics publication_status: published status: public title: Elementary symmetric polynomials and martingales for Heckman-Opdam processes type: journal_article user_id: '37390' year: '2022' ... --- _id: '40312' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: M. full_name: Nührenbörger, M. last_name: Nührenbörger citation: ama: 'Häsel-Weide U, Nührenbörger M. Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education. In: Hodgen J, Geraniou E, Bolondi G, Ferretti F, Free University of Bozen-Bolzano and ERME, eds. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022:1-8.' apa: Häsel-Weide, U., & Nührenbörger, M. (2022). Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education. In J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, & Free University of Bozen-Bolzano and ERME (Eds.), Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) (pp. 1–8). bibtex: '@inproceedings{Häsel-Weide_Nührenbörger_2022, title={Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education}, booktitle={Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Häsel-Weide, Uta and Nührenbörger, M.}, editor={Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F. and Free University of Bozen-Bolzano and ERME}, year={2022}, pages={1–8} }' chicago: Häsel-Weide, Uta, and M. Nührenbörger. “Inclusive Math Practices in Primary School. Twelfth Congress of the European Society for Research in Mathematics Education.” In Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, and Free University of Bozen-Bolzano and ERME, 1–8, 2022. ieee: U. Häsel-Weide and M. Nührenbörger, “Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education,” in Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022, pp. 1–8. mla: Häsel-Weide, Uta, and M. Nührenbörger. “Inclusive Math Practices in Primary School. Twelfth Congress of the European Society for Research in Mathematics Education.” Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen et al., 2022, pp. 1–8. short: 'U. Häsel-Weide, M. Nührenbörger, in: J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, Free University of Bozen-Bolzano and ERME (Eds.), Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022, pp. 1–8.' corporate_editor: - Free University of Bozen-Bolzano and ERME date_created: 2023-01-26T11:06:50Z date_updated: 2023-01-26T11:09:02Z department: - _id: '543' - _id: '98' editor: - first_name: J. full_name: Hodgen, J. last_name: Hodgen - first_name: E. full_name: Geraniou, E. last_name: Geraniou - first_name: G. full_name: Bolondi, G. last_name: Bolondi - first_name: F. full_name: Ferretti, F. last_name: Ferretti language: - iso: eng main_file_link: - url: ⟨hal-03745438⟩ page: 1-8 publication: Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) status: public title: Inclusive math practices in primary school. Twelfth Congress of the European Society for Research in Mathematics Education type: conference user_id: '44184' year: '2022' ... --- _id: '35479' author: - first_name: Nicolas full_name: Bellomo, Nicolas last_name: Bellomo - first_name: Nisrine full_name: Outada, Nisrine last_name: Outada - first_name: Juan full_name: Soler, Juan last_name: Soler - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: 'Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences. 2022;32:713-792.' apa: 'Bellomo, N., Outada, N., Soler, J., Tao, Y., & Winkler, M. (2022). Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision. Mathematical Models & Methods in Applied Sciences, 32, 713–792.' bibtex: '@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.}, volume={32}, journal={Mathematical Models & Methods in Applied Sciences}, author={Bellomo, Nicolas and Outada, Nisrine and Soler, Juan and Tao, Youshan and Winkler, Michael}, year={2022}, pages={713–792} }' chicago: 'Bellomo, Nicolas, Nisrine Outada, Juan Soler, Youshan Tao, and Michael Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences 32 (2022): 713–92.' ieee: 'N. Bellomo, N. Outada, J. Soler, Y. Tao, and M. Winkler, “Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.,” Mathematical Models & Methods in Applied Sciences, vol. 32, pp. 713–792, 2022.' mla: 'Bellomo, Nicolas, et al. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical Models & Methods in Applied Sciences, vol. 32, 2022, pp. 713–92.' short: N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models & Methods in Applied Sciences 32 (2022) 713–792. date_created: 2023-01-09T12:42:07Z date_updated: 2023-02-01T10:05:54Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 32' language: - iso: eng page: 713-792 publication: Mathematical Models & Methods in Applied Sciences status: public title: 'Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.' type: journal_article user_id: '15645' volume: 32 year: '2022' ... --- _id: '35530' article_number: '14' author: - first_name: Johannes full_name: Lankeit, Johannes last_name: Lankeit - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: Lankeit J, Winkler M. Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects. Journal of Evolution Equations. 2022;22. apa: Lankeit, J., & Winkler, M. (2022). Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects. Journal of Evolution Equations, 22, Article 14. bibtex: '@article{Lankeit_Winkler_2022, title={Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.}, volume={22}, number={14}, journal={Journal of Evolution Equations}, author={Lankeit, Johannes and Winkler, Michael}, year={2022} }' chicago: Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva Effects.” Journal of Evolution Equations 22 (2022). ieee: J. Lankeit and M. Winkler, “Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.,” Journal of Evolution Equations, vol. 22, Art. no. 14, 2022. mla: Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva Effects.” Journal of Evolution Equations, vol. 22, 14, 2022. short: J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022). date_created: 2023-01-09T15:37:36Z date_updated: 2023-02-01T10:07:44Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 22' language: - iso: eng publication: Journal of Evolution Equations status: public title: Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects. type: journal_article user_id: '15645' volume: 22 year: '2022' ... --- _id: '35481' author: - first_name: Jan full_name: Fuhrmann, Jan last_name: Fuhrmann - first_name: Johannes full_name: Lankeit, Johannes last_name: Lankeit - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées. 2022;162:124-151. apa: Fuhrmann, J., Lankeit, J., & Winkler, M. (2022). A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. Journal de Mathématiques Pures et Appliquées, 162, 124–151. bibtex: '@article{Fuhrmann_Lankeit_Winkler_2022, title={A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.}, volume={162}, journal={Journal de Mathématiques Pures et Appliquées}, author={Fuhrmann, Jan and Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={124–151} }' chicago: 'Fuhrmann, Jan, Johannes Lankeit, and Michael Winkler. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées 162 (2022): 124–51.' ieee: J. Fuhrmann, J. Lankeit, and M. Winkler, “A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.,” Journal de Mathématiques Pures et Appliquées, vol. 162, pp. 124–151, 2022. mla: Fuhrmann, Jan, et al. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” Journal de Mathématiques Pures et Appliquées, vol. 162, 2022, pp. 124–51. short: J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées 162 (2022) 124–151. date_created: 2023-01-09T12:45:23Z date_updated: 2023-02-01T09:57:48Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 162' language: - iso: eng page: 124-151 publication: Journal de Mathématiques Pures et Appliquées status: public title: A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. type: journal_article user_id: '15645' volume: 162 year: '2022' ... --- _id: '35565' author: - first_name: Yulan full_name: Wang, Yulan last_name: Wang - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler - first_name: Zhaoyin full_name: Xiang, Zhaoyin last_name: Xiang citation: ama: Wang Y, Winkler M, Xiang Z. A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. Acta Mathematica Sinica (English Series). 2022;38:985-1001. apa: Wang, Y., Winkler, M., & Xiang, Z. (2022). A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. Acta Mathematica Sinica (English Series), 38, 985–1001. bibtex: '@article{Wang_Winkler_Xiang_2022, title={A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.}, volume={38}, journal={Acta Mathematica Sinica (English Series)}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={985–1001} }' chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “A Smallness Condition Ensuring Boundedness in a Two-Dimensional Chemotaxis-Navier-Stokes System Involving Dirichlet Boundary Conditions for the Signal.” Acta Mathematica Sinica (English Series) 38 (2022): 985–1001.' ieee: Y. Wang, M. Winkler, and Z. Xiang, “A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.,” Acta Mathematica Sinica (English Series), vol. 38, pp. 985–1001, 2022. mla: Wang, Yulan, et al. “A Smallness Condition Ensuring Boundedness in a Two-Dimensional Chemotaxis-Navier-Stokes System Involving Dirichlet Boundary Conditions for the Signal.” Acta Mathematica Sinica (English Series), vol. 38, 2022, pp. 985–1001. short: Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38 (2022) 985–1001. date_created: 2023-01-09T16:25:05Z date_updated: 2023-02-01T10:32:20Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 38' language: - iso: eng page: 985-1001 publication: Acta Mathematica Sinica (English Series) status: public title: A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal. type: journal_article user_id: '15645' volume: 38 year: '2022' ... --- _id: '35560' author: - first_name: Yulan full_name: Wang, Yulan last_name: Wang - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler - first_name: Zhaoyin full_name: Xiang, Zhaoyin last_name: Xiang citation: ama: Wang Y, Winkler M, Xiang Z. Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications. 2022;20:141-170. apa: Wang, Y., Winkler, M., & Xiang, Z. (2022). Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. Analysis and Applications, 20, 141–170. bibtex: '@article{Wang_Winkler_Xiang_2022, title={Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.}, volume={20}, journal={Analysis and Applications}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2022}, pages={141–170} }' chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications 20 (2022): 141–70.' ieee: Y. Wang, M. Winkler, and Z. Xiang, “Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.,” Analysis and Applications, vol. 20, pp. 141–170, 2022. mla: Wang, Yulan, et al. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions for the Signal.” Analysis and Applications, vol. 20, 2022, pp. 141–70. short: Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 141–170. date_created: 2023-01-09T16:21:59Z date_updated: 2023-02-01T10:29:44Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 20' language: - iso: eng page: 141-170 publication: Analysis and Applications status: public title: Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal. type: journal_article user_id: '15645' volume: 20 year: '2022' ... --- _id: '34413' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: Inga full_name: Wienhues, Inga id: '61635' last_name: Wienhues - first_name: L. full_name: Kordes, L. last_name: Kordes citation: ama: 'Häsel-Weide U, Wienhues I, Kordes L. Multiplikative Beziehungen erkennen und nutzen – Initiierung von Lernprozessen durch Entdeckervideos. In: Bonow J, Dexel T, Rink R, Schreiber Chr, Walter D, eds. Digitale Medien und Heterogenität – Chancen und Herausforderungen für die Mathematikdidaktik. WTM-Verlag; 2022:27-42.' apa: Häsel-Weide, U., Wienhues, I., & Kordes, L. (2022). Multiplikative Beziehungen erkennen und nutzen – Initiierung von Lernprozessen durch Entdeckervideos. In J. Bonow, T. Dexel, R. Rink, Chr. Schreiber, & D. Walter (Eds.), Digitale Medien und Heterogenität – Chancen und Herausforderungen für die Mathematikdidaktik (pp. 27–42). WTM-Verlag. bibtex: '@inbook{Häsel-Weide_Wienhues_Kordes_2022, place={Münster}, title={Multiplikative Beziehungen erkennen und nutzen – Initiierung von Lernprozessen durch Entdeckervideos}, booktitle={Digitale Medien und Heterogenität – Chancen und Herausforderungen für die Mathematikdidaktik}, publisher={WTM-Verlag}, author={Häsel-Weide, Uta and Wienhues, Inga and Kordes, L.}, editor={Bonow, J. and Dexel, T. and Rink, R. and Schreiber, Chr. and Walter, D.}, year={2022}, pages={27–42} }' chicago: 'Häsel-Weide, Uta, Inga Wienhues, and L. Kordes. “Multiplikative Beziehungen erkennen und nutzen – Initiierung von Lernprozessen durch Entdeckervideos.” In Digitale Medien und Heterogenität – Chancen und Herausforderungen für die Mathematikdidaktik, edited by J. Bonow, T. Dexel, R. Rink, Chr. Schreiber, and D. Walter, 27–42. Münster: WTM-Verlag, 2022.' ieee: 'U. Häsel-Weide, I. Wienhues, and L. Kordes, “Multiplikative Beziehungen erkennen und nutzen – Initiierung von Lernprozessen durch Entdeckervideos,” in Digitale Medien und Heterogenität – Chancen und Herausforderungen für die Mathematikdidaktik, J. Bonow, T. Dexel, R. Rink, Chr. Schreiber, and D. Walter, Eds. Münster: WTM-Verlag, 2022, pp. 27–42.' mla: Häsel-Weide, Uta, et al. “Multiplikative Beziehungen erkennen und nutzen – Initiierung von Lernprozessen durch Entdeckervideos.” Digitale Medien und Heterogenität – Chancen und Herausforderungen für die Mathematikdidaktik, edited by J. Bonow et al., WTM-Verlag, 2022, pp. 27–42. short: 'U. Häsel-Weide, I. Wienhues, L. Kordes, in: J. Bonow, T. Dexel, R. Rink, Chr. Schreiber, D. Walter (Eds.), Digitale Medien und Heterogenität – Chancen und Herausforderungen für die Mathematikdidaktik, WTM-Verlag, Münster, 2022, pp. 27–42.' date_created: 2022-12-14T10:41:28Z date_updated: 2023-01-26T10:40:55Z department: - _id: '543' editor: - first_name: J. full_name: Bonow, J. last_name: Bonow - first_name: T. full_name: Dexel, T. last_name: Dexel - first_name: R. full_name: Rink, R. last_name: Rink - first_name: Chr. full_name: Schreiber, Chr. last_name: Schreiber - first_name: D. full_name: Walter, D. last_name: Walter language: - iso: ger main_file_link: - open_access: '1' oa: '1' page: 27-42 place: Münster publication: Digitale Medien und Heterogenität – Chancen und Herausforderungen für die Mathematikdidaktik publication_status: published publisher: WTM-Verlag related_material: link: - relation: contains url: https://doi.org/10.37626/GA9783959872362.0.03 status: public title: Multiplikative Beziehungen erkennen und nutzen – Initiierung von Lernprozessen durch Entdeckervideos type: book_chapter user_id: '44184' year: '2022' ... --- _id: '40053' author: - first_name: P. full_name: Graczyk, P. last_name: Graczyk - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks - first_name: P. full_name: Sawyer, P. last_name: Sawyer citation: ama: Graczyk P, Luks T, Sawyer P. Potential kernels for radial Dunkl Laplacians. Canadian Journal of Mathematics. 2022;74(4):1005-1033. doi:10.4153/s0008414x21000195 apa: Graczyk, P., Luks, T., & Sawyer, P. (2022). Potential kernels for radial Dunkl Laplacians. Canadian Journal of Mathematics, 74(4), 1005–1033. https://doi.org/10.4153/s0008414x21000195 bibtex: '@article{Graczyk_Luks_Sawyer_2022, title={Potential kernels for radial Dunkl Laplacians}, volume={74}, DOI={10.4153/s0008414x21000195}, number={4}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical Society}, author={Graczyk, P. and Luks, Tomasz and Sawyer, P.}, year={2022}, pages={1005–1033} }' chicago: 'Graczyk, P., Tomasz Luks, and P. Sawyer. “Potential Kernels for Radial Dunkl Laplacians.” Canadian Journal of Mathematics 74, no. 4 (2022): 1005–33. https://doi.org/10.4153/s0008414x21000195.' ieee: 'P. Graczyk, T. Luks, and P. Sawyer, “Potential kernels for radial Dunkl Laplacians,” Canadian Journal of Mathematics, vol. 74, no. 4, pp. 1005–1033, 2022, doi: 10.4153/s0008414x21000195.' mla: Graczyk, P., et al. “Potential Kernels for Radial Dunkl Laplacians.” Canadian Journal of Mathematics, vol. 74, no. 4, Canadian Mathematical Society, 2022, pp. 1005–33, doi:10.4153/s0008414x21000195. short: P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022) 1005–1033. date_created: 2023-01-25T15:13:06Z date_updated: 2023-01-26T17:18:50Z department: - _id: '555' doi: 10.4153/s0008414x21000195 intvolume: ' 74' issue: '4' language: - iso: eng page: 1005-1033 publication: Canadian Journal of Mathematics publication_identifier: issn: - 0008-414X - 1496-4279 publication_status: published publisher: Canadian Mathematical Society status: public title: Potential kernels for radial Dunkl Laplacians type: journal_article user_id: '58312' volume: 74 year: '2022' ... --- _id: '35556' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: 'Tao Y, Winkler M. Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2022;152:81-101.' apa: 'Tao, Y., & Winkler, M. (2022). Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152, 81–101.' bibtex: '@article{Tao_Winkler_2022, title={Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.}, volume={152}, journal={Proceedings of the Royal Society of Edinburgh Section A: Mathematics}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={81–101} }' chicago: 'Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity in a Haptotaxis Model for Oncolytic Virotherapy.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022): 81–101.' ieee: 'Y. Tao and M. Winkler, “Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.,” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 152, pp. 81–101, 2022.' mla: 'Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity in a Haptotaxis Model for Oncolytic Virotherapy.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 152, 2022, pp. 81–101.' short: 'Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022) 81–101.' date_created: 2023-01-09T16:16:07Z date_updated: 2023-02-01T10:16:04Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 152' language: - iso: eng page: 81-101 publication: 'Proceedings of the Royal Society of Edinburgh Section A: Mathematics' status: public title: Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy. type: journal_article user_id: '15645' volume: 152 year: '2022' ... --- _id: '35532' author: - first_name: Genglin full_name: Li, Genglin last_name: Li - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Li G, Winkler M. Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis. 2022;21:687-784. apa: Li, G., & Winkler, M. (2022). Nonnegative solutions to a doubly degenerate nutrient taxis system . Communications on Pure and Applied Analysis, 21, 687–784. bibtex: '@article{Li_Winkler_2022, title={Nonnegative solutions to a doubly degenerate nutrient taxis system }, volume={21}, journal={Communications on Pure and Applied Analysis}, author={Li, Genglin and Winkler, Michael}, year={2022}, pages={687–784} }' chicago: 'Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate Nutrient Taxis System .” Communications on Pure and Applied Analysis 21 (2022): 687–784.' ieee: G. Li and M. Winkler, “Nonnegative solutions to a doubly degenerate nutrient taxis system ,” Communications on Pure and Applied Analysis, vol. 21, pp. 687–784, 2022. mla: Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate Nutrient Taxis System .” Communications on Pure and Applied Analysis, vol. 21, 2022, pp. 687–784. short: G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022) 687–784. date_created: 2023-01-09T15:51:29Z date_updated: 2023-02-01T10:09:37Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 21' language: - iso: eng page: 687-784 publication: Communications on Pure and Applied Analysis status: public title: 'Nonnegative solutions to a doubly degenerate nutrient taxis system ' type: journal_article user_id: '15645' volume: 21 year: '2022' ...