[{"author":[{"full_name":"Savov, Mladen","last_name":"Savov","first_name":"Mladen"},{"id":"48880","first_name":"Martin","last_name":"Kolb","full_name":"Kolb, Martin"}],"year":"2017","status":"public","title":"Conditional survival distributions of Brownian trajectories in a one dimensional Poissonian environment in the critical case","intvolume":"        22","publication_status":"published","date_updated":"2022-09-13T07:47:46Z","publisher":" Institute of Mathematical Statistics & Bernoulli Society","_id":"33342","language":[{"iso":"eng"}],"volume":22,"user_id":"85821","doi":"https://doi.org/10.1214/17-EJP4468","citation":{"chicago":"Savov, Mladen, and Martin Kolb. “Conditional Survival Distributions of Brownian Trajectories in a One Dimensional Poissonian Environment in the Critical Case.” <i>Electronic Journal of Probability</i> 22 (2017). <a href=\"https://doi.org/10.1214/17-EJP4468\">https://doi.org/10.1214/17-EJP4468</a>.","short":"M. Savov, M. Kolb, Electronic Journal of Probability 22 (2017).","ieee":"M. Savov and M. Kolb, “Conditional survival distributions of Brownian trajectories in a one dimensional Poissonian environment in the critical case,” <i>Electronic Journal of Probability</i>, vol. 22, 2017, doi: <a href=\"https://doi.org/10.1214/17-EJP4468\">https://doi.org/10.1214/17-EJP4468</a>.","apa":"Savov, M., &#38; Kolb, M. (2017). Conditional survival distributions of Brownian trajectories in a one dimensional Poissonian environment in the critical case. <i>Electronic Journal of Probability</i>, <i>22</i>. <a href=\"https://doi.org/10.1214/17-EJP4468\">https://doi.org/10.1214/17-EJP4468</a>","bibtex":"@article{Savov_Kolb_2017, title={Conditional survival distributions of Brownian trajectories in a one dimensional Poissonian environment in the critical case}, volume={22}, DOI={<a href=\"https://doi.org/10.1214/17-EJP4468\">https://doi.org/10.1214/17-EJP4468</a>}, journal={Electronic Journal of Probability}, publisher={ Institute of Mathematical Statistics &#38; Bernoulli Society}, author={Savov, Mladen and Kolb, Martin}, year={2017} }","ama":"Savov M, Kolb M. Conditional survival distributions of Brownian trajectories in a one dimensional Poissonian environment in the critical case. <i>Electronic Journal of Probability</i>. 2017;22. doi:<a href=\"https://doi.org/10.1214/17-EJP4468\">https://doi.org/10.1214/17-EJP4468</a>","mla":"Savov, Mladen, and Martin Kolb. “Conditional Survival Distributions of Brownian Trajectories in a One Dimensional Poissonian Environment in the Critical Case.” <i>Electronic Journal of Probability</i>, vol. 22,  Institute of Mathematical Statistics &#38; Bernoulli Society, 2017, doi:<a href=\"https://doi.org/10.1214/17-EJP4468\">https://doi.org/10.1214/17-EJP4468</a>."},"publication":"Electronic Journal of Probability","abstract":[{"text":"In this work we consider a one-dimensional Brownian motion with constant drift moving among a Poissonian cloud of obstacles. Our main result proves convergence of the law of processes conditional on survival up to time t as t converges to infinity in the critical case where the drift coincides with the intensity of the Poisson process. This complements a previous result of T. Povel, who considered the same question in the case where the drift is strictly smaller than the intensity. We also show that the end point of the process conditioned on survival up to time t rescaled by √t converges in distribution to a non-trivial random variable, as t tends to infinity, which is in fact invariant with respect to the drift h>0. We thus prove that it is sub-ballistic and estimate the speed of escape. The latter is in a sharp contrast with discrete models of dimension larger or equal to 2 when the behaviour at criticality is ballistic, see [7], and even to many one dimensional models which exhibit ballistic behaviour at criticality, see [8].","lang":"eng"}],"date_created":"2022-09-13T07:47:39Z","department":[{"_id":"96"}],"type":"journal_article"},{"doi":"10.1007/s00211-017-0886-6","language":[{"iso":"eng"}],"intvolume":"       137","date_updated":"2023-01-09T08:24:20Z","publication_status":"published","publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"id":"42608","orcid":"0000-0003-4125-1941","last_name":"Hesse","first_name":"Kerstin","full_name":"Hesse, Kerstin"},{"last_name":"Sloan","first_name":"Ian H.","full_name":"Sloan, Ian H."},{"full_name":"Womersley, Robert S.","last_name":"Womersley","first_name":"Robert S."}],"year":"2017","title":"Radial basis function approximation of noisy scattered data on the sphere","department":[{"_id":"10"}],"keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","date_created":"2022-12-20T17:29:02Z","issue":"3","publication":"Numerische Mathematik","volume":137,"user_id":"14931","_id":"34631","publisher":"Springer Science and Business Media LLC","page":"579-605","status":"public","citation":{"chicago":"Hesse, Kerstin, Ian H. Sloan, and Robert S. Womersley. “Radial Basis Function Approximation of Noisy Scattered Data on the Sphere.” <i>Numerische Mathematik</i> 137, no. 3 (2017): 579–605. <a href=\"https://doi.org/10.1007/s00211-017-0886-6\">https://doi.org/10.1007/s00211-017-0886-6</a>.","short":"K. Hesse, I.H. Sloan, R.S. Womersley, Numerische Mathematik 137 (2017) 579–605.","ieee":"K. Hesse, I. H. Sloan, and R. S. Womersley, “Radial basis function approximation of noisy scattered data on the sphere,” <i>Numerische Mathematik</i>, vol. 137, no. 3, pp. 579–605, 2017, doi: <a href=\"https://doi.org/10.1007/s00211-017-0886-6\">10.1007/s00211-017-0886-6</a>.","apa":"Hesse, K., Sloan, I. H., &#38; Womersley, R. S. (2017). Radial basis function approximation of noisy scattered data on the sphere. <i>Numerische Mathematik</i>, <i>137</i>(3), 579–605. <a href=\"https://doi.org/10.1007/s00211-017-0886-6\">https://doi.org/10.1007/s00211-017-0886-6</a>","bibtex":"@article{Hesse_Sloan_Womersley_2017, title={Radial basis function approximation of noisy scattered data on the sphere}, volume={137}, DOI={<a href=\"https://doi.org/10.1007/s00211-017-0886-6\">10.1007/s00211-017-0886-6</a>}, number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}, year={2017}, pages={579–605} }","ama":"Hesse K, Sloan IH, Womersley RS. Radial basis function approximation of noisy scattered data on the sphere. <i>Numerische Mathematik</i>. 2017;137(3):579-605. doi:<a href=\"https://doi.org/10.1007/s00211-017-0886-6\">10.1007/s00211-017-0886-6</a>","mla":"Hesse, Kerstin, et al. “Radial Basis Function Approximation of Noisy Scattered Data on the Sphere.” <i>Numerische Mathematik</i>, vol. 137, no. 3, Springer Science and Business Media LLC, 2017, pp. 579–605, doi:<a href=\"https://doi.org/10.1007/s00211-017-0886-6\">10.1007/s00211-017-0886-6</a>."}},{"type":"conference","department":[{"_id":"98"}],"place":"Münster","date_created":"2023-05-31T08:39:04Z","extern":"1","publication":"Beiträge zum Mathematikunterricht 2017 ","citation":{"chicago":"Dröse, Jennifer, and Susanne Prediger. “Strategieentwicklung für die Bearbeitung von Textaufgaben.” In <i>Beiträge zum Mathematikunterricht 2017 </i>, edited by U. Kortenkamp and A. Kuzle, 183–86. Münster: WTM, 2017.","short":"J. Dröse, S. Prediger, in: U. Kortenkamp, A. 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Weich, Mathematische Annalen 370 (2017) 1231–1275."},"external_id":{"arxiv":["1605.08801"]},"status":"public","publisher":"Springer Science and Business Media LLC","_id":"31267","page":"1231-1275","volume":370,"user_id":"49063","publication":"Mathematische Annalen","issue":"3-4","date_created":"2022-05-17T12:09:43Z","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"type":"journal_article","keyword":["General Mathematics"],"publication_identifier":{"issn":["0025-5831","1432-1807"]},"author":[{"full_name":"Guillarmou, Colin","last_name":"Guillarmou","first_name":"Colin"},{"id":"220","first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim"},{"id":"49178","first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias"}],"year":"2017","title":"Classical and quantum resonances for hyperbolic surfaces","intvolume":"       370","publication_status":"published","date_updated":"2024-02-19T06:18:21Z","language":[{"iso":"eng"}],"doi":"10.1007/s00208-017-1576-5"},{"publication":"Representation Theory","citation":{"short":"J. Hilgert, T. Przebinda, A. Pasquale, Representation Theory 21 (2017) 416–457.","chicago":"Hilgert, Joachim, T. Przebinda, and A. Pasquale. “Resonances for the Laplacian on Riemannian Symmetric Spaces: The Case of SL(3,R)/SO(3).” <i>Representation Theory</i> 21 (2017): 416–457. <a href=\"https://doi.org/10.1090/ert/506\">https://doi.org/10.1090/ert/506</a>.","ieee":"J. Hilgert, T. Przebinda, and A. Pasquale, “Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3),” <i>Representation Theory</i>, vol. 21, pp. 416–457, 2017, doi: <a href=\"https://doi.org/10.1090/ert/506\">10.1090/ert/506</a>.","apa":"Hilgert, J., Przebinda, T., &#38; Pasquale, A. (2017). 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Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3). <i>Representation Theory</i>. 2017;21:416–457. doi:<a href=\"https://doi.org/10.1090/ert/506\">10.1090/ert/506</a>","mla":"Hilgert, Joachim, et al. “Resonances for the Laplacian on Riemannian Symmetric Spaces: The Case of SL(3,R)/SO(3).” <i>Representation Theory</i>, vol. 21, 2017, pp. 416–457, doi:<a href=\"https://doi.org/10.1090/ert/506\">10.1090/ert/506</a>."},"date_created":"2024-02-19T06:47:50Z","type":"journal_article","department":[{"_id":"91"}],"year":"2017","status":"public","title":"Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3)","author":[{"full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert","id":"220"},{"first_name":"T.","last_name":"Przebinda","full_name":"Przebinda, T."},{"full_name":"Pasquale, A.","first_name":"A.","last_name":"Pasquale"}],"date_updated":"2024-02-19T06:48:59Z","publication_status":"published","intvolume":"        21","page":"416–457","main_file_link":[{"url":"http://dx.doi.org/10.1090/ert/506"}],"_id":"51390","language":[{"iso":"eng"}],"doi":"10.1090/ert/506","user_id":"49063","volume":21},{"language":[{"iso":"eng"}],"_id":"51392","page":"6255–6309","volume":20,"doi":"10.1093/imrn/rnw191","user_id":"49063","author":[{"last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220"},{"last_name":"Martens","first_name":"J.","full_name":"Martens, J."},{"full_name":"Manon, Ch.","first_name":"Ch.","last_name":"Manon"}],"status":"public","title":"Contraction of Hamiltonian K-spaces","year":"2017","intvolume":"        20","date_updated":"2024-02-19T06:50:20Z","publication_status":"published","date_created":"2024-02-19T06:50:16Z","department":[{"_id":"91"}],"type":"journal_article","citation":{"bibtex":"@article{Hilgert_Martens_Manon_2017, title={Contraction of Hamiltonian K-spaces}, volume={20}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnw191\">10.1093/imrn/rnw191</a>}, journal={Inter. Math. Research Notices}, author={Hilgert, Joachim and Martens, J. and Manon, Ch.}, year={2017}, pages={6255–6309} }","ama":"Hilgert J, Martens J, Manon Ch. Contraction of Hamiltonian K-spaces. <i>Inter Math Research Notices</i>. 2017;20:6255–6309. doi:<a href=\"https://doi.org/10.1093/imrn/rnw191\">10.1093/imrn/rnw191</a>","mla":"Hilgert, Joachim, et al. “Contraction of Hamiltonian K-Spaces.” <i>Inter. Math. Research Notices</i>, vol. 20, 2017, pp. 6255–6309, doi:<a href=\"https://doi.org/10.1093/imrn/rnw191\">10.1093/imrn/rnw191</a>.","short":"J. Hilgert, J. Martens, Ch. Manon, Inter. Math. Research Notices 20 (2017) 6255–6309.","chicago":"Hilgert, Joachim, J. Martens, and Ch. Manon. “Contraction of Hamiltonian K-Spaces.” <i>Inter. Math. Research Notices</i> 20 (2017): 6255–6309. <a href=\"https://doi.org/10.1093/imrn/rnw191\">https://doi.org/10.1093/imrn/rnw191</a>.","ieee":"J. Hilgert, J. Martens, and Ch. Manon, “Contraction of Hamiltonian K-spaces,” <i>Inter. Math. 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A Mixed Methods Study on Fostering Multilingual Students’ Conceptual Understanding,” <i>International Journal of Science and Mathematics Education</i>, vol. 17, no. 2, pp. 317–339, 2017, doi: <a href=\"https://doi.org/10.1007/s10763-017-9857-8\">10.1007/s10763-017-9857-8</a>.","apa":"Schüler-Meyer, A., Prediger, S., Kuzu, T., Wessel, L., &#38; Redder, A. (2017). Is Formal Language Proficiency in the Home Language Required to Profit from a Bilingual Teaching Intervention in Mathematics? A Mixed Methods Study on Fostering Multilingual Students’ Conceptual Understanding. <i>International Journal of Science and Mathematics Education</i>, <i>17</i>(2), 317–339. <a href=\"https://doi.org/10.1007/s10763-017-9857-8\">https://doi.org/10.1007/s10763-017-9857-8</a>","chicago":"Schüler-Meyer, Alexander, Susanne Prediger, Taha Kuzu, Lena Wessel, and Angelika Redder. “Is Formal Language Proficiency in the Home Language Required to Profit from a Bilingual Teaching Intervention in Mathematics? 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Der Zusammenhang von sprachlichen Kompetenzen und schulischen mathematischen Leistungen: Curriculare Herausforderungen bei der Ausbildung von Lehrkräften vor dem Hintergrund des Berliner Rahmenlehrplans Mathematik. In: Jostes B, ed. <i>Sprachen – Bilden – Chancen: Sprachbildung in der Lehrkräftebildung</i>. Waxmann; 2017:189-200.","mla":"Wessel, Lena, and T. Andreas. “Der Zusammenhang von sprachlichen Kompetenzen und schulischen mathematischen Leistungen: Curriculare Herausforderungen bei der Ausbildung von Lehrkräften vor dem Hintergrund des Berliner Rahmenlehrplans Mathematik.” <i>Sprachen – Bilden – Chancen: Sprachbildung in der Lehrkräftebildung</i>, edited by B. Jostes, Waxmann, 2017, pp. 189–200.","short":"L. Wessel, T. Andreas, in: B. Jostes (Ed.), Sprachen – Bilden – Chancen: Sprachbildung in der Lehrkräftebildung, Waxmann, Münster/New York, 2017, pp. 189–200.","chicago":"Wessel, Lena, and T. 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