[{"user_id":"178","volume":294,"page":"74–81","_id":"34795","status":"public","quality_controlled":"1","citation":{"ieee":"H. Glöckner, “Direct limits of regular Lie groups,” <i>Mathematische Nachrichten</i>, vol. 294, no. 1, pp. 74–81, 2021, doi: <a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>.","apa":"Glöckner, H. (2021). Direct limits of regular Lie groups. <i>Mathematische Nachrichten</i>, <i>294</i>(1), 74–81. <a href=\"https://doi.org/10.1002/mana.201900073\">https://doi.org/10.1002/mana.201900073</a>","chicago":"Glöckner, Helge. “Direct Limits of Regular Lie Groups.” <i>Mathematische Nachrichten</i> 294, no. 1 (2021): 74–81. <a href=\"https://doi.org/10.1002/mana.201900073\">https://doi.org/10.1002/mana.201900073</a>.","short":"H. Glöckner, Mathematische Nachrichten 294 (2021) 74–81.","mla":"Glöckner, Helge. “Direct Limits of Regular Lie Groups.” <i>Mathematische Nachrichten</i>, vol. 294, no. 1, 2021, pp. 74–81, doi:<a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>.","bibtex":"@article{Glöckner_2021, title={Direct limits of regular Lie groups}, volume={294}, DOI={<a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>}, number={1}, journal={Mathematische Nachrichten}, author={Glöckner, Helge}, year={2021}, pages={74–81} }","ama":"Glöckner H. Direct limits of regular Lie groups. <i>Mathematische Nachrichten</i>. 2021;294(1):74–81. doi:<a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>"},"doi":"10.1002/mana.201900073","language":[{"iso":"eng"}],"date_updated":"2022-12-21T20:00:29Z","intvolume":"       294","article_type":"original","year":"2021","title":"Direct limits of regular Lie groups","publication_identifier":{"issn":["0025-584X"]},"author":[{"id":"178","last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge"}],"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2022-12-21T19:57:32Z","issue":"1","publication":"Mathematische Nachrichten"},{"external_id":{"arxiv":["2101.02981"]},"date_created":"2022-12-22T07:47:35Z","type":"preprint","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"publication":"arXiv:2101.02981","citation":{"ama":"Glöckner H. Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. <i>arXiv:210102981</i>. Published online 2021.","bibtex":"@article{Glöckner_2021, title={Contraction groups and the big cell for endomorphisms of Lie groups over  local fields}, journal={arXiv:2101.02981}, author={Glöckner, Helge}, year={2021} }","mla":"Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over  Local Fields.” <i>ArXiv:2101.02981</i>, 2021.","chicago":"Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over  Local Fields.” <i>ArXiv:2101.02981</i>, 2021.","short":"H. Glöckner, ArXiv:2101.02981 (2021).","apa":"Glöckner, H. (2021). Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. In <i>arXiv:2101.02981</i>.","ieee":"H. Glöckner, “Contraction groups and the big cell for endomorphisms of Lie groups over  local fields,” <i>arXiv:2101.02981</i>. 2021."},"abstract":[{"text":"Let $G$ be a Lie group over a totally disconnected local field and $\\alpha$\r\nbe an analytic endomorphism of $G$. The contraction group of $\\alpha$ ist the\r\nset of all $x\\in G$ such that $\\alpha^n(x)\\to e$ as $n\\to\\infty$. Call sequence\r\n$(x_{-n})_{n\\geq 0}$ in $G$ an $\\alpha$-regressive trajectory for $x\\in G$ if\r\n$\\alpha(x_{-n})=x_{-n+1}$ for all $n\\geq 1$ and $x_0=x$. The anti-contraction\r\ngroup of $\\alpha$ is the set of all $x\\in G$ admitting an $\\alpha$-regressive\r\ntrajectory $(x_{-n})_{n\\geq 0}$ such that $x_{-n}\\to e$ as $n\\to\\infty$. The\r\nLevi subgroup is the set of all $x\\in G$ whose $\\alpha$-orbit is relatively\r\ncompact, and such that $x$ admits an $\\alpha$-regressive trajectory\r\n$(x_{-n})_{n\\geq 0}$ such that $\\{x_{-n}\\colon n\\geq 0\\}$ is relatively\r\ncompact. The big cell associated to $\\alpha$ is the set $\\Omega$ of all all\r\nproducts $xyz$ with $x$ in the contraction group, $y$ in the Levi subgroup and\r\n$z$ in the anti-contraction group. Let $\\pi$ be the mapping from the cartesian\r\nproduct of the contraction group, Levi subgroup and anti-contraction group to\r\n$\\Omega$ which maps $(x,y,z)$ to $xyz$. We show: $\\Omega$ is open in $G$ and\r\n$\\pi$ is \\'{e}tale for suitable immersed Lie subgroup structures on the three\r\nsubgroups just mentioned. Moreover, we study group-theoretic properties of\r\ncontraction groups and anti-contraction groups.","lang":"eng"}],"language":[{"iso":"eng"}],"_id":"34806","user_id":"178","year":"2021","title":"Contraction groups and the big cell for endomorphisms of Lie groups over  local fields","status":"public","author":[{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"}],"date_updated":"2022-12-22T07:48:29Z"},{"citation":{"ieee":"P. Schütte, T. Weich, and B. Delarue, “Resonances and weighted zeta functions for obstacle scattering via smooth models.” 2021.","apa":"Schütte, P., Weich, T., &#38; Delarue, B. (2021). <i>Resonances and weighted zeta functions for obstacle scattering via smooth models</i>.","short":"P. Schütte, T. Weich, B. Delarue, (2021).","chicago":"Schütte, Philipp, Tobias Weich, and Benjamin Delarue. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” 2021.","mla":"Schütte, Philipp, et al. <i>Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models</i>. 2021.","bibtex":"@article{Schütte_Weich_Delarue_2021, title={Resonances and weighted zeta functions for obstacle scattering via smooth models}, author={Schütte, Philipp and Weich, Tobias and Delarue, Benjamin}, year={2021} }","ama":"Schütte P, Weich T, Delarue B. Resonances and weighted zeta functions for obstacle scattering via smooth models. Published online 2021."},"abstract":[{"text":"We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experience specular reflections. We show that if the geodesic billiard system is hyperbolic on its trapped set and the latter is compact and non-grazing the techniques for open hyperbolic systems developed by Dyatlov and Guillarmou can be applied to a smooth model for the discontinuous flow defined by the non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent for the generator of the billiard flow. As an application we prove a meromorphic continuation of weighted zeta functions together with explicit residue formulae. In particular, our results apply to scattering by convex obstacles in the Euclidean plane.","lang":"eng"}],"date_created":"2022-05-04T12:25:58Z","external_id":{"arxiv":["2109.05907"]},"department":[{"_id":"10"},{"_id":"548"}],"type":"preprint","author":[{"last_name":"Schütte","first_name":"Philipp","full_name":"Schütte, Philipp","id":"50168"},{"last_name":"Weich","orcid":"0000-0002-9648-6919","first_name":"Tobias","full_name":"Weich, Tobias","id":"49178"},{"full_name":"Delarue, Benjamin","first_name":"Benjamin","last_name":"Delarue"}],"title":"Resonances and weighted zeta functions for obstacle scattering via smooth models","status":"public","year":"2021","date_updated":"2022-05-17T12:05:52Z","_id":"31058","language":[{"iso":"eng"}],"user_id":"50168"},{"language":[{"iso":"eng"}],"doi":"10.1093/imrn/rnz068","year":"2021","title":"Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces","publication_identifier":{"issn":["1073-7928","1687-0247"]},"author":[{"first_name":"Benjamin","last_name":"Küster","full_name":"Küster, Benjamin"},{"first_name":"Tobias","last_name":"Weich","full_name":"Weich, Tobias"}],"publication_status":"published","date_updated":"2022-05-25T06:42:01Z","intvolume":"      2021","date_created":"2022-05-17T12:00:36Z","keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"publication":"International Mathematics Research Notices","issue":"11","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>For a compact Riemannian locally symmetric space $\\mathcal M$ of rank 1 and an associated vector bundle $\\mathbf V_{\\tau }$ over the unit cosphere bundle $S^{\\ast }\\mathcal M$, we give a precise description of those classical (Pollicott–Ruelle) resonant states on $\\mathbf V_{\\tau }$ that vanish under covariant derivatives in the Anosov-unstable directions of the chaotic geodesic flow on $S^{\\ast }\\mathcal M$. In particular, we show that they are isomorphically mapped by natural pushforwards into generalized common eigenspaces of the algebra of invariant differential operators $D(G,\\sigma )$ on compatible associated vector bundles $\\mathbf W_{\\sigma }$ over $\\mathcal M$. As a consequence of this description, we obtain an exact band structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions on the representations $\\tau$ and $\\sigma$ defining the bundles $\\mathbf V_{\\tau }$ and $\\mathbf W_{\\sigma }$, we obtain a very explicit description of the generalized common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections of $\\mathbf W_{\\sigma }$. Our methods of proof are based on representation theory and Lie theory.</jats:p>"}],"page":"8225-8296","publisher":"Oxford University Press (OUP)","_id":"31261","user_id":"49178","volume":2021,"status":"public","external_id":{"arxiv":["1710.04625"]},"citation":{"ieee":"B. Küster and T. Weich, “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces,” <i>International Mathematics Research Notices</i>, vol. 2021, no. 11, pp. 8225–8296, 2021, doi: <a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>.","mla":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research Notices</i>, vol. 2021, no. 11, Oxford University Press (OUP), 2021, pp. 8225–96, doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>.","apa":"Küster, B., &#38; Weich, T. (2021). Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>, <i>2021</i>(11), 8225–8296. <a href=\"https://doi.org/10.1093/imrn/rnz068\">https://doi.org/10.1093/imrn/rnz068</a>","bibtex":"@article{Küster_Weich_2021, title={Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces}, volume={2021}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Küster, Benjamin and Weich, Tobias}, year={2021}, pages={8225–8296} }","chicago":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research Notices</i> 2021, no. 11 (2021): 8225–96. <a href=\"https://doi.org/10.1093/imrn/rnz068\">https://doi.org/10.1093/imrn/rnz068</a>.","ama":"Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>. 2021;2021(11):8225-8296. doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>","short":"B. Küster, T. Weich, International Mathematics Research Notices 2021 (2021) 8225–8296."}},{"department":[{"_id":"93"}],"type":"journal_article","keyword":["Geometry and Topology","Analysis"],"date_created":"2022-12-22T09:20:30Z","extern":"1","publication":"Differential Geometry and its Applications","doi":"10.1016/j.difgeo.2020.101687","language":[{"iso":"eng"}],"article_number":"101687","article_type":"original","intvolume":"        74","publication_status":"published","date_updated":"2023-01-09T18:07:26Z","publication_identifier":{"issn":["0926-2245"]},"author":[{"id":"30905","last_name":"Hanusch","first_name":"Maximilian","full_name":"Hanusch, Maximilian"}],"year":"2021","title":"Symmetries of analytic curves","citation":{"mla":"Hanusch, Maximilian. “Symmetries of Analytic Curves.” <i>Differential Geometry and Its Applications</i>, vol. 74, 101687, Elsevier BV, 2021, doi:<a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">10.1016/j.difgeo.2020.101687</a>.","ama":"Hanusch M. Symmetries of analytic curves. <i>Differential Geometry and its Applications</i>. 2021;74. doi:<a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">10.1016/j.difgeo.2020.101687</a>","bibtex":"@article{Hanusch_2021, title={Symmetries of analytic curves}, volume={74}, DOI={<a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">10.1016/j.difgeo.2020.101687</a>}, number={101687}, journal={Differential Geometry and its Applications}, publisher={Elsevier BV}, author={Hanusch, Maximilian}, year={2021} }","apa":"Hanusch, M. (2021). Symmetries of analytic curves. <i>Differential Geometry and Its Applications</i>, <i>74</i>, Article 101687. <a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">https://doi.org/10.1016/j.difgeo.2020.101687</a>","ieee":"M. Hanusch, “Symmetries of analytic curves,” <i>Differential Geometry and its Applications</i>, vol. 74, Art. no. 101687, 2021, doi: <a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">10.1016/j.difgeo.2020.101687</a>.","short":"M. Hanusch, Differential Geometry and Its Applications 74 (2021).","chicago":"Hanusch, Maximilian. “Symmetries of Analytic Curves.” <i>Differential Geometry and Its Applications</i> 74 (2021). <a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">https://doi.org/10.1016/j.difgeo.2020.101687</a>."},"volume":74,"user_id":"30905","publisher":"Elsevier BV","_id":"34818","status":"public"},{"intvolume":"         4","publication_status":"published","date_updated":"2024-02-19T06:27:43Z","publication_identifier":{"issn":["2644-9463"]},"author":[{"first_name":"Colin","last_name":"Guillarmou","full_name":"Guillarmou, Colin"},{"id":"220","last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim"},{"id":"49178","first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias"}],"year":"2021","title":"High frequency limits for invariant Ruelle densities","doi":"10.5802/ahl.67","language":[{"iso":"eng"}],"publication":"Annales Henri Lebesgue","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"type":"journal_article","date_created":"2022-05-17T12:05:17Z","status":"public","volume":4,"user_id":"49063","publisher":"Cellule MathDoc/CEDRAM","_id":"31263","page":"81-119","citation":{"bibtex":"@article{Guillarmou_Hilgert_Weich_2021, title={High frequency limits for invariant Ruelle densities}, volume={4}, DOI={<a href=\"https://doi.org/10.5802/ahl.67\">10.5802/ahl.67</a>}, journal={Annales Henri Lebesgue}, publisher={Cellule MathDoc/CEDRAM}, author={Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}, year={2021}, pages={81–119} }","ama":"Guillarmou C, Hilgert J, Weich T. High frequency limits for invariant Ruelle densities. <i>Annales Henri Lebesgue</i>. 2021;4:81-119. doi:<a href=\"https://doi.org/10.5802/ahl.67\">10.5802/ahl.67</a>","mla":"Guillarmou, Colin, et al. “High Frequency Limits for Invariant Ruelle Densities.” <i>Annales Henri Lebesgue</i>, vol. 4, Cellule MathDoc/CEDRAM, 2021, pp. 81–119, doi:<a href=\"https://doi.org/10.5802/ahl.67\">10.5802/ahl.67</a>.","chicago":"Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency Limits for Invariant Ruelle Densities.” <i>Annales Henri Lebesgue</i> 4 (2021): 81–119. <a href=\"https://doi.org/10.5802/ahl.67\">https://doi.org/10.5802/ahl.67</a>.","short":"C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.","ieee":"C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,” <i>Annales Henri Lebesgue</i>, vol. 4, pp. 81–119, 2021, doi: <a href=\"https://doi.org/10.5802/ahl.67\">10.5802/ahl.67</a>.","apa":"Guillarmou, C., Hilgert, J., &#38; Weich, T. (2021). High frequency limits for invariant Ruelle densities. <i>Annales Henri Lebesgue</i>, <i>4</i>, 81–119. <a href=\"https://doi.org/10.5802/ahl.67\">https://doi.org/10.5802/ahl.67</a>"},"external_id":{"arxiv":["1803.06717"]}},{"department":[{"_id":"555"},{"_id":"91"}],"type":"journal_article","date_created":"2023-01-12T08:23:28Z","citation":{"chicago":"Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” <i>Journal of Lie Theory</i> 31, no. 2 (2021): 459--468. <a href=\"https://doi.org/10.48550/arXiv.2008.07479\">https://doi.org/10.48550/arXiv.2008.07479</a>.","short":"D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.","ieee":"D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” <i>Journal of Lie Theory</i>, vol. 31, no. 2, pp. 459--468, 2021, doi: <a href=\"https://doi.org/10.48550/arXiv.2008.07479\">10.48550/arXiv.2008.07479</a>.","apa":"Brennecken, D., Hilgert, J., &#38; Ciardo, L. (2021). Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). <i>Journal of Lie Theory</i>, <i>31</i>(2), 459--468. <a href=\"https://doi.org/10.48550/arXiv.2008.07479\">https://doi.org/10.48550/arXiv.2008.07479</a>","bibtex":"@article{Brennecken_Hilgert_Ciardo_2021, title={Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)}, volume={31}, DOI={<a href=\"https://doi.org/10.48550/arXiv.2008.07479\">10.48550/arXiv.2008.07479</a>}, number={2}, journal={Journal of Lie Theory}, publisher={Heldermann Verlag}, author={Brennecken, Dominik and Hilgert, Joachim and Ciardo, Lorenzo}, year={2021}, pages={459--468} }","ama":"Brennecken D, Hilgert J, Ciardo L. Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). <i>Journal of Lie Theory</i>. 2021;31(2):459--468. doi:<a href=\"https://doi.org/10.48550/arXiv.2008.07479\">10.48550/arXiv.2008.07479</a>","mla":"Brennecken, Dominik, et al. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” <i>Journal of Lie Theory</i>, vol. 31, no. 2, Heldermann Verlag, 2021, pp. 459--468, doi:<a href=\"https://doi.org/10.48550/arXiv.2008.07479\">10.48550/arXiv.2008.07479</a>."},"issue":"2","publication":"Journal of Lie Theory","volume":31,"doi":"10.48550/arXiv.2008.07479","user_id":"49063","language":[{"iso":"eng"}],"_id":"36271","publisher":"Heldermann Verlag","page":"459--468","intvolume":"        31","date_updated":"2024-02-19T06:27:09Z","publication_status":"published","author":[{"id":"55911","full_name":"Brennecken, Dominik","last_name":"Brennecken","first_name":"Dominik"},{"full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert","id":"220"},{"last_name":"Ciardo","first_name":"Lorenzo","full_name":"Ciardo, Lorenzo"}],"year":"2021","title":"Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)","status":"public"},{"date_created":"2024-02-20T09:52:08Z","type":"review","department":[{"_id":"91"}],"publication":"Mathematische Semesterberichte","citation":{"chicago":"Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, 2021. <a href=\"https://doi.org/10.1007/s00591-021-00295-7\">https://doi.org/10.1007/s00591-021-00295-7</a>.","short":"J. Hilgert, Mathematische Semesterberichte 68 (2021) 171–173.","ieee":"J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>, vol. 68. pp. 171–173, 2021, doi: <a href=\"https://doi.org/10.1007/s00591-021-00295-7\">10.1007/s00591-021-00295-7</a>.","apa":"Hilgert, J. (2021). Philip Ording: 99 Variations on a Proof. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i> (Vol. 68, pp. 171–173). <a href=\"https://doi.org/10.1007/s00591-021-00295-7\">https://doi.org/10.1007/s00591-021-00295-7</a>","bibtex":"@article{Hilgert_2021, title={Philip Ording: 99 Variations on a Proof. Princeton University Press 2019}, volume={68}, DOI={<a href=\"https://doi.org/10.1007/s00591-021-00295-7\">10.1007/s00591-021-00295-7</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2021}, pages={171–173} }","ama":"Hilgert J. Philip Ording: 99 Variations on a Proof. Princeton University Press 2019. <i>Mathematische Semesterberichte</i>. 2021;68:171–173. doi:<a href=\"https://doi.org/10.1007/s00591-021-00295-7\">10.1007/s00591-021-00295-7</a>","mla":"Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, vol. 68, 2021, pp. 171–173, doi:<a href=\"https://doi.org/10.1007/s00591-021-00295-7\">10.1007/s00591-021-00295-7</a>."},"page":"171–173","language":[{"iso":"eng"}],"_id":"51556","doi":"10.1007/s00591-021-00295-7","user_id":"49063","volume":68,"status":"public","year":"2021","title":"Philip Ording: 99 Variations on a Proof. Princeton University Press 2019","author":[{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"date_updated":"2024-02-20T10:03:43Z","publication_status":"published","intvolume":"        68"},{"publication":"Mathematische Semesterberichte","citation":{"ama":"Hilgert J. Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020. <i>Mathematische Semesterberichte</i>. 2021;68:175–177. doi:<a href=\"https://doi.org/10.1007/s00591-021-00296-6\">10.1007/s00591-021-00296-6</a>","bibtex":"@article{Hilgert_2021, title={Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020}, volume={68}, DOI={<a href=\"https://doi.org/10.1007/s00591-021-00296-6\">10.1007/s00591-021-00296-6</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2021}, pages={175–177} }","mla":"Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.” <i>Mathematische Semesterberichte</i>, vol. 68, 2021, pp. 175–177, doi:<a href=\"https://doi.org/10.1007/s00591-021-00296-6\">10.1007/s00591-021-00296-6</a>.","chicago":"Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.” <i>Mathematische Semesterberichte</i>, 2021. <a href=\"https://doi.org/10.1007/s00591-021-00296-6\">https://doi.org/10.1007/s00591-021-00296-6</a>.","short":"J. Hilgert, Mathematische Semesterberichte 68 (2021) 175–177.","apa":"Hilgert, J. (2021). Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020. In <i>Mathematische Semesterberichte</i> (Vol. 68, pp. 175–177). <a href=\"https://doi.org/10.1007/s00591-021-00296-6\">https://doi.org/10.1007/s00591-021-00296-6</a>","ieee":"J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,” <i>Mathematische Semesterberichte</i>, vol. 68. pp. 175–177, 2021, doi: <a href=\"https://doi.org/10.1007/s00591-021-00296-6\">10.1007/s00591-021-00296-6</a>."},"type":"review","department":[{"_id":"91"}],"date_created":"2024-02-20T09:50:31Z","date_updated":"2024-02-20T10:14:56Z","publication_status":"published","intvolume":"        68","title":"Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020","year":"2021","status":"public","author":[{"full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim","id":"220"}],"doi":"10.1007/s00591-021-00296-6","user_id":"49063","volume":68,"page":"175–177","_id":"51555","language":[{"iso":"ger"}]},{"citation":{"chicago":"Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds.” <i>Annales Henri Poincaré</i> 22, no. 11 (2021): 3565–3617. <a href=\"https://doi.org/10.1007/s00023-021-01068-7\">https://doi.org/10.1007/s00023-021-01068-7</a>.","short":"C. Guillarmou, B. Küster, Annales Henri Poincaré 22 (2021) 3565–3617.","ieee":"C. Guillarmou and B. Küster, “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds,” <i>Annales Henri Poincaré</i>, vol. 22, no. 11, pp. 3565–3617, 2021, doi: <a href=\"https://doi.org/10.1007/s00023-021-01068-7\">10.1007/s00023-021-01068-7</a>.","apa":"Guillarmou, C., &#38; Küster, B. (2021). Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds. <i>Annales Henri Poincaré</i>, <i>22</i>(11), 3565–3617. <a href=\"https://doi.org/10.1007/s00023-021-01068-7\">https://doi.org/10.1007/s00023-021-01068-7</a>","bibtex":"@article{Guillarmou_Küster_2021, title={Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds}, volume={22}, DOI={<a href=\"https://doi.org/10.1007/s00023-021-01068-7\">10.1007/s00023-021-01068-7</a>}, number={11}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Guillarmou, Colin and Küster, Benjamin}, year={2021}, pages={3565–3617} }","ama":"Guillarmou C, Küster B. Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds. <i>Annales Henri Poincaré</i>. 2021;22(11):3565-3617. doi:<a href=\"https://doi.org/10.1007/s00023-021-01068-7\">10.1007/s00023-021-01068-7</a>","mla":"Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds.” <i>Annales Henri Poincaré</i>, vol. 22, no. 11, Springer Science and Business Media LLC, 2021, pp. 3565–617, doi:<a href=\"https://doi.org/10.1007/s00023-021-01068-7\">10.1007/s00023-021-01068-7</a>."},"status":"public","_id":"32006","publisher":"Springer Science and Business Media LLC","page":"3565-3617","volume":22,"user_id":"70575","publication":"Annales Henri Poincaré","issue":"11","date_created":"2022-06-20T08:37:52Z","department":[{"_id":"548"}],"type":"journal_article","keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"author":[{"full_name":"Guillarmou, Colin","first_name":"Colin","last_name":"Guillarmou"},{"full_name":"Küster, Benjamin","last_name":"Küster","first_name":"Benjamin"}],"publication_identifier":{"issn":["1424-0637","1424-0661"]},"year":"2021","title":"Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds","intvolume":"        22","publication_status":"published","date_updated":"2024-04-11T12:39:23Z","language":[{"iso":"eng"}],"doi":"10.1007/s00023-021-01068-7"},{"doi":"10.1007/s40753-021-00154-9","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2024-04-18T10:09:08Z","intvolume":"         8","title":"Consultation Phases in Mathematics Learning and Support Centres","year":"2021","author":[{"id":"59707","first_name":"Mirko","orcid":"0000-0003-2646-085X","last_name":"Schürmann","full_name":"Schürmann, Mirko"},{"last_name":"Panse","first_name":"Anja","full_name":"Panse, Anja"},{"last_name":"Shaikh","first_name":"Zain","full_name":"Shaikh, Zain"},{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"full_name":"Schaper, Niclas","first_name":"Niclas","last_name":"Schaper"},{"first_name":"Michael","orcid":"0000-0001-9887-2074","last_name":"Liebendörfer","full_name":"Liebendörfer, Michael","id":"30933"},{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"publication_identifier":{"issn":["2198-9745","2198-9753"]},"keyword":["Education","Mathematics (miscellaneous)"],"type":"journal_article","department":[{"_id":"363"},{"_id":"423"},{"_id":"91"},{"_id":"625"}],"date_created":"2023-01-10T09:09:23Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Mathematics Learning Support Centres are becoming more and more common in higher education both internationally and in Germany. Whereas it is clear that their quality largely depends on a functioning interaction in consultations, little is known about how such consultations proceed in detail. On the basis of models from the literature and recorded support sessions (N = 36), we constructed a process model that divides consultations into four ideal–typical phases. In the individual consultations, forward or backward leaps occur, but overall the model seems to describe the data well. A high intercoder reliability shows that it can be applied consistently on real data by different researchers. An analysis of the consultations between students and tutors shows that both mainly work on past attempts or thoughts of the students to solve the exercise or problems and on concrete strategies to solve a problem within the session. In contrast, very little time is dedicated to summarizing and reflecting the solution. The data allows for a more in-depth discussion of what constitutes quality in advising processes and how it might be further explored. Practically, the model may structure support sessions and help in focussing on different goals in different phases.</jats:p>"}],"issue":"1","publication":"International Journal of Research in Undergraduate Mathematics Education","user_id":"37888","volume":8,"page":"94-120","_id":"35702","publisher":"Springer Science and Business Media LLC","status":"public","citation":{"short":"M. Schürmann, A. Panse, Z. Shaikh, R. Biehler, N. Schaper, M. Liebendörfer, J. Hilgert, International Journal of Research in Undergraduate Mathematics Education 8 (2021) 94–120.","chicago":"Schürmann, Mirko, Anja Panse, Zain Shaikh, Rolf Biehler, Niclas Schaper, Michael Liebendörfer, and Joachim Hilgert. “Consultation Phases in Mathematics Learning and Support Centres.” <i>International Journal of Research in Undergraduate Mathematics Education</i> 8, no. 1 (2021): 94–120. <a href=\"https://doi.org/10.1007/s40753-021-00154-9\">https://doi.org/10.1007/s40753-021-00154-9</a>.","ieee":"M. Schürmann <i>et al.</i>, “Consultation Phases in Mathematics Learning and Support Centres,” <i>International Journal of Research in Undergraduate Mathematics Education</i>, vol. 8, no. 1, pp. 94–120, 2021, doi: <a href=\"https://doi.org/10.1007/s40753-021-00154-9\">10.1007/s40753-021-00154-9</a>.","apa":"Schürmann, M., Panse, A., Shaikh, Z., Biehler, R., Schaper, N., Liebendörfer, M., &#38; Hilgert, J. (2021). Consultation Phases in Mathematics Learning and Support Centres. <i>International Journal of Research in Undergraduate Mathematics Education</i>, <i>8</i>(1), 94–120. <a href=\"https://doi.org/10.1007/s40753-021-00154-9\">https://doi.org/10.1007/s40753-021-00154-9</a>","bibtex":"@article{Schürmann_Panse_Shaikh_Biehler_Schaper_Liebendörfer_Hilgert_2021, title={Consultation Phases in Mathematics Learning and Support Centres}, volume={8}, DOI={<a href=\"https://doi.org/10.1007/s40753-021-00154-9\">10.1007/s40753-021-00154-9</a>}, number={1}, journal={International Journal of Research in Undergraduate Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Schürmann, Mirko and Panse, Anja and Shaikh, Zain and Biehler, Rolf and Schaper, Niclas and Liebendörfer, Michael and Hilgert, Joachim}, year={2021}, pages={94–120} }","ama":"Schürmann M, Panse A, Shaikh Z, et al. Consultation Phases in Mathematics Learning and Support Centres. <i>International Journal of Research in Undergraduate Mathematics Education</i>. 2021;8(1):94-120. doi:<a href=\"https://doi.org/10.1007/s40753-021-00154-9\">10.1007/s40753-021-00154-9</a>","mla":"Schürmann, Mirko, et al. “Consultation Phases in Mathematics Learning and Support Centres.” <i>International Journal of Research in Undergraduate Mathematics Education</i>, vol. 8, no. 1, Springer Science and Business Media LLC, 2021, pp. 94–120, doi:<a href=\"https://doi.org/10.1007/s40753-021-00154-9\">10.1007/s40753-021-00154-9</a>."}},{"author":[{"id":"220","full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert"},{"full_name":"Hilgert, Ingrid","last_name":"Hilgert","first_name":"Ingrid"}],"year":"2021","status":"public","title":"Mathematik - Ein Reiseführer 2. Auflage","publication_status":"published","date_updated":"2024-08-08T07:49:11Z","_id":"51493","language":[{"iso":"ger"}],"publisher":"Springer Spektrum","user_id":"220","citation":{"bibtex":"@book{Hilgert_Hilgert_2021, title={Mathematik - Ein Reiseführer 2. Auflage}, publisher={Springer Spektrum}, author={Hilgert, Joachim and Hilgert, Ingrid}, year={2021} }","ama":"Hilgert J, Hilgert I. <i>Mathematik - Ein Reiseführer 2. Auflage</i>. Springer Spektrum; 2021.","mla":"Hilgert, Joachim, and Ingrid Hilgert. <i>Mathematik - Ein Reiseführer 2. Auflage</i>. Springer Spektrum, 2021.","short":"J. Hilgert, I. Hilgert, Mathematik - Ein Reiseführer 2. Auflage, Springer Spektrum, 2021.","chicago":"Hilgert, Joachim, and Ingrid Hilgert. <i>Mathematik - Ein Reiseführer 2. Auflage</i>. Springer Spektrum, 2021.","ieee":"J. Hilgert and I. Hilgert, <i>Mathematik - Ein Reiseführer 2. Auflage</i>. Springer Spektrum, 2021.","apa":"Hilgert, J., &#38; Hilgert, I. (2021). <i>Mathematik - Ein Reiseführer 2. Auflage</i>. Springer Spektrum."},"date_created":"2024-02-19T10:21:25Z","department":[{"_id":"91"}],"type":"book"},{"date_created":"2023-01-09T18:16:56Z","type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Zeitschrift für Angewandte Mathematik und Physik","citation":{"mla":"Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation in a Planar Keller-Segel-Navier-Stokes System.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, vol. 72, 72, 2021.","ama":"Winkler M. Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. <i>Zeitschrift für Angewandte Mathematik und Physik</i>. 2021;72.","bibtex":"@article{Winkler_2021, title={Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.}, volume={72}, number={72}, journal={Zeitschrift für Angewandte Mathematik und Physik}, author={Winkler, Michael}, year={2021} }","apa":"Winkler, M. (2021). Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system. <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, <i>72</i>, Article 72.","ieee":"M. Winkler, “Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.,” <i>Zeitschrift für Angewandte Mathematik und Physik</i>, vol. 72, Art. no. 72, 2021.","short":"M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).","chicago":"Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation in a Planar Keller-Segel-Navier-Stokes System.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i> 72 (2021)."},"article_number":"72","_id":"35615","language":[{"iso":"eng"}],"user_id":"15645","volume":72,"title":"Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.","year":"2021","status":"public","author":[{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"date_updated":"2023-01-20T13:14:53Z","intvolume":"        72"},{"citation":{"ieee":"M. Winkler, “Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?,” <i>International Mathematics Research Notices</i>, vol. 2021, pp. 8106–8152, 2021.","apa":"Winkler, M. (2021). Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? <i>International Mathematics Research Notices</i>, <i>2021</i>, 8106–8152.","chicago":"Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial Homogeneity in Nutrient Taxis (-Stokes) Systems?” <i>International Mathematics Research Notices</i> 2021 (2021): 8106–52.","short":"M. Winkler, International Mathematics Research Notices 2021 (2021) 8106–8152.","mla":"Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial Homogeneity in Nutrient Taxis (-Stokes) Systems?” <i>International Mathematics Research Notices</i>, vol. 2021, 2021, pp. 8106–52.","bibtex":"@article{Winkler_2021, title={Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?}, volume={2021}, journal={International Mathematics Research Notices}, author={Winkler, Michael}, year={2021}, pages={8106–8152} }","ama":"Winkler M. Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems? <i>International Mathematics Research Notices</i>. 2021;2021:8106-8152."},"publication":"International Mathematics Research Notices","date_created":"2023-01-09T18:14:20Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","author":[{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"status":"public","title":"Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?","year":"2021","intvolume":"      2021","date_updated":"2023-01-20T13:14:58Z","language":[{"iso":"eng"}],"_id":"35614","page":"8106-8152","volume":2021,"user_id":"15645"},{"date_created":"2023-01-09T18:21:39Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","citation":{"ieee":"M. Winkler, “Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.,” <i>Applied Mathematics Letters</i>, vol. 112, p. 106785, 2021.","apa":"Winkler, M. (2021). Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. <i>Applied Mathematics Letters</i>, <i>112</i>, 106785.","short":"M. Winkler, Applied Mathematics Letters 112 (2021) 106785.","chicago":"Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” <i>Applied Mathematics Letters</i> 112 (2021): 106785.","mla":"Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” <i>Applied Mathematics Letters</i>, vol. 112, 2021, p. 106785.","bibtex":"@article{Winkler_2021, title={Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.}, volume={112}, journal={Applied Mathematics Letters}, author={Winkler, Michael}, year={2021}, pages={106785} }","ama":"Winkler M. Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. <i>Applied Mathematics Letters</i>. 2021;112:106785."},"publication":"Applied Mathematics Letters","_id":"35617","language":[{"iso":"eng"}],"page":"106785","volume":112,"user_id":"15645","author":[{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael","id":"31496"}],"year":"2021","status":"public","title":"Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.","intvolume":"       112","date_updated":"2023-01-20T13:14:48Z"},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","date_created":"2023-01-09T18:11:15Z","citation":{"ama":"Winkler M. Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow. <i>Transactions of the American Mathematical Society</i>. 2021;374:219-268.","bibtex":"@article{Winkler_2021, title={Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.}, volume={374}, journal={Transactions of the American Mathematical Society}, author={Winkler, Michael}, year={2021}, pages={219–268} }","mla":"Winkler, Michael. “Does Spatial Homogeneity Ultimately Prevail in Nutrient Taxis Systems? A Paradigm for Structure Support by Rapid Diffusion Decay in an Autonomous Parabolic Flow.” <i>Transactions of the American Mathematical Society</i>, vol. 374, 2021, pp. 219–68.","chicago":"Winkler, Michael. “Does Spatial Homogeneity Ultimately Prevail in Nutrient Taxis Systems? A Paradigm for Structure Support by Rapid Diffusion Decay in an Autonomous Parabolic Flow.” <i>Transactions of the American Mathematical Society</i> 374 (2021): 219–68.","short":"M. Winkler, Transactions of the American Mathematical Society 374 (2021) 219–268.","apa":"Winkler, M. (2021). Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow. <i>Transactions of the American Mathematical Society</i>, <i>374</i>, 219–268.","ieee":"M. Winkler, “Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.,” <i>Transactions of the American Mathematical Society</i>, vol. 374, pp. 219–268, 2021."},"publication":"Transactions of the American Mathematical Society","volume":374,"user_id":"15645","language":[{"iso":"eng"}],"_id":"35613","page":"219-268","intvolume":"       374","date_updated":"2023-01-20T13:15:03Z","author":[{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"year":"2021","title":"Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.","status":"public"},{"status":"public","page":"1151-1163","publisher":"American Mathematical Society (AMS)","_id":"37659","user_id":"37390","volume":149,"citation":{"apa":"Rösler, M., &#38; Voit, M. (2021). Positive intertwiners for Bessel functions of type B. <i>Proceedings of the American Mathematical Society</i>, <i>149</i>(3), 1151–1163. <a href=\"https://doi.org/10.1090/proc/15312\">https://doi.org/10.1090/proc/15312</a>","ieee":"M. Rösler and M. Voit, “Positive intertwiners for Bessel functions of type B,” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 3, pp. 1151–1163, 2021, doi: <a href=\"https://doi.org/10.1090/proc/15312\">10.1090/proc/15312</a>.","short":"M. Rösler, M. Voit, Proceedings of the American Mathematical Society 149 (2021) 1151–1163.","chicago":"Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions of Type B.” <i>Proceedings of the American Mathematical Society</i> 149, no. 3 (2021): 1151–63. <a href=\"https://doi.org/10.1090/proc/15312\">https://doi.org/10.1090/proc/15312</a>.","mla":"Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions of Type B.” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 3, American Mathematical Society (AMS), 2021, pp. 1151–63, doi:<a href=\"https://doi.org/10.1090/proc/15312\">10.1090/proc/15312</a>.","ama":"Rösler M, Voit M. Positive intertwiners for Bessel functions of type B. <i>Proceedings of the American Mathematical Society</i>. 2021;149(3):1151-1163. doi:<a href=\"https://doi.org/10.1090/proc/15312\">10.1090/proc/15312</a>","bibtex":"@article{Rösler_Voit_2021, title={Positive intertwiners for Bessel functions of type B}, volume={149}, DOI={<a href=\"https://doi.org/10.1090/proc/15312\">10.1090/proc/15312</a>}, number={3}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit and Voit, Michael}, year={2021}, pages={1151–1163} }"},"year":"2021","title":"Positive intertwiners for Bessel functions of type B","publication_identifier":{"issn":["0002-9939","1088-6826"]},"author":[{"id":"37390","last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit"},{"full_name":"Voit, Michael","last_name":"Voit","first_name":"Michael"}],"date_updated":"2023-01-24T22:16:16Z","publication_status":"published","intvolume":"       149","language":[{"iso":"eng"}],"doi":"10.1090/proc/15312","issue":"3","publication":"Proceedings of the American Mathematical Society","date_created":"2023-01-20T09:22:12Z","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"department":[{"_id":"555"}]},{"article_number":"109069","language":[{"iso":"eng"}],"_id":"35603","user_id":"15645","volume":281,"title":"A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.","status":"public","year":"2021","author":[{"first_name":"Youshan","last_name":"Tao","full_name":"Tao, Youshan"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"date_updated":"2023-02-01T10:18:18Z","intvolume":"       281","date_created":"2023-01-09T17:28:08Z","type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Journal of Functional Analysis","citation":{"apa":"Tao, Y., &#38; Winkler, M. (2021). A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. <i>Journal of Functional Analysis</i>, <i>281</i>, Article 109069.","ieee":"Y. Tao and M. Winkler, “A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.,” <i>Journal of Functional Analysis</i>, vol. 281, Art. no. 109069, 2021.","short":"Y. Tao, M. Winkler, Journal of Functional Analysis 281 (2021).","chicago":"Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type Approximation.” <i>Journal of Functional Analysis</i> 281 (2021).","mla":"Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type Approximation.” <i>Journal of Functional Analysis</i>, vol. 281, 109069, 2021.","ama":"Tao Y, Winkler M. A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation. <i>Journal of Functional Analysis</i>. 2021;281.","bibtex":"@article{Tao_Winkler_2021, title={A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.}, volume={281}, number={109069}, journal={Journal of Functional Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2021} }"}},{"page":"725-746","_id":"35612","language":[{"iso":"eng"}],"user_id":"15645","volume":64,"status":"public","year":"2021","title":"Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.","author":[{"last_name":"Wang","first_name":"Yulan","full_name":"Wang, Yulan"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael","id":"31496"},{"first_name":"Zhaoyin","last_name":"Xiang","full_name":"Xiang, Zhaoyin"}],"date_updated":"2023-02-01T10:22:22Z","intvolume":"        64","date_created":"2023-01-09T18:06:08Z","type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Science China Mathematics","citation":{"chicago":"Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” <i>Science China Mathematics</i> 64 (2021): 725–46.","short":"Y. Wang, M. Winkler, Z. Xiang, Science China Mathematics 64 (2021) 725–746.","apa":"Wang, Y., Winkler, M., &#38; Xiang, Z. (2021). Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. <i>Science China Mathematics</i>, <i>64</i>, 725–746.","ieee":"Y. Wang, M. Winkler, and Z. Xiang, “Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.,” <i>Science China Mathematics</i>, vol. 64, pp. 725–746, 2021.","ama":"Wang Y, Winkler M, Xiang Z. Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption. <i>Science China Mathematics</i>. 2021;64:725-746.","bibtex":"@article{Wang_Winkler_Xiang_2021, title={Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.}, volume={64}, journal={Science China Mathematics}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021}, pages={725–746} }","mla":"Wang, Yulan, et al. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” <i>Science China Mathematics</i>, vol. 64, 2021, pp. 725–46."}},{"volume":19,"user_id":"15645","language":[{"iso":"eng"}],"_id":"35605","page":"829-849","intvolume":"        19","date_updated":"2023-02-01T10:23:03Z","author":[{"full_name":"Tao, Youshan","first_name":"Youshan","last_name":"Tao"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"status":"public","title":"Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.","year":"2021","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","date_created":"2023-01-09T17:32:36Z","citation":{"mla":"Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional Cross-Diffusion System Modeling Propagation of Urban Crime.” <i>Communications in Mathematical Sciences</i>, vol. 19, 2021, pp. 829–49.","ama":"Tao Y, Winkler M. Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. <i>Communications in Mathematical Sciences</i>. 2021;19:829-849.","bibtex":"@article{Tao_Winkler_2021, title={Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.}, volume={19}, journal={Communications in Mathematical Sciences}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={829–849} }","apa":"Tao, Y., &#38; Winkler, M. (2021). Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime. <i>Communications in Mathematical Sciences</i>, <i>19</i>, 829–849.","ieee":"Y. Tao and M. 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