Universität Bonn

Junior Trimester Program: "Randomness, PDEs and Nonlinear Fluctuations"

September 2 – December 19, 2019

Description: The Junior Trimester Program gives young mathematicians (postdocs, junior faculty) the opportunity to carry out collaborative research in Randomness, PDEs and Nonlinear Fluctuations.

Associated Events: 

  • Summer School: New Frontiers in Singular SPDEs and Scaling Limits (September 23-27, 2019)
  • Workshop: SPDE day – recent progress on quasilinear equations (October 18, 2019)
  • Workshop: Singular SPDEs and Related Topics (October 21-25, 2019)
  • Workshop: Stochastic Fluid Dynamics (November 11-15, 2019)
  • Workshop: Harmonic Analysis and Rough Paths (November 18-19, 2019)
  • Workshop: Problems of roughness, geometry and random fluctuations (December 09 - 12, 2019)

Publications

No.
Author(s)
Title
Preprint
Publication
2019c01 Meshkova, Y. Note on quantitative homogenization results for parabolic systems in Rd 1912.125474 J. Evol. Equ. 21(1) (2021), 763-769, https://doi.org/10.1007/s00028-020-00600-25
2019c02 Brooks, M.; Di Gesù, G. Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension 1911.031876 J. Funct. Anal. 281(3) (2021), Paper No. 109029, 36, https://doi.org/10.1016/j.jfa.2021.1090297
2019c03 Amedeo Bianchi, L.; Blömker, D. The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation 2005.096768 Phys. D. 415 (2021), Paper No. 132742, 8, https://doi.org/10.1016/j.physd.2020.1327429
2019c04 Amedeo Bianchi, L.; Morandin, F. Linear Stochastic Dyadic model 2010.1434110 J. Stat. Phys. 183(2) (2021), Paper No. 20, 22, https://doi.org/10.1007/s10955-021-02753-x11 
2019c05 Coghi, M.; Maurelli, M. Regularized vortex approximation for 2D Euler equations with transport noise 1912.0723312 Stoch. Dyn. 20(6) (2020), 2040002, https://doi.org/10.1142/S021949372040002X13
2019c06 Strohmaier, A.; Waters, A. Analytic properties of heat equation solutions and reachable sets 2006.0576214 Math. Z. 302(1) (2022), 259-274, https://doi.org/10.1007/s00209-022-03058-915
2019c07 Agazzi, A.; Andreis, L.; Patterson, R.I.A.; Renger, D.R.M. Large deviations for Markov jump processes with uniformly diminishing rates 2102.1304016 Stochastic Process. Appl. 152 (2022), 533-559, https://doi.org/10.1016/j.spa.2022.06.01717
2019c08 Cannizzaro, G.; Erhard, D.; Toninelli, F. The stationary AKPZ equation: logarithmic superdiffusivity 2007.1220318 Comm. Pure Appl. Math. 76(11) (2023), 3044-3103, https://doi.org/10.1002/cpa.2210819
2019c09 Chandra, A.; Gunaratnam, T.S.; Weber, H. Phase transitions for φ34 2006.1593320 Comm. Math. Phys. 392(2) (2022), 691-782, https://doi.org/10.1007/s00220-022-04353-621
2019c10 Cannizzaro, G.; Hairer, M. The Brownian Castle 2010.0276622 Comm. Pure Appl. Math. 76(10) (2023), 2693-2764, https://doi.org/10.1002/cpa.2208523
2019c11 Cannizzaro, G.; Hairer, M. The Brownian Web as a random R-tree 2102.0406824 Electron. J. Probab. 28 (2023), Paper No. 102, 47, https://doi.org/10.1214/23-ejp98425
2019c12 Erhard, D.; Franco, T.; Reis, G. The Directed Edge Reinforced Random Walk: The Ant Mill Phenomenon 1911.0729526 J. Stat. Phys. 190(1) (2023), Paper No. 18, 18,
https://doi.org/10.1007/s10955-022-03031-027
2019c13 Erhard, D.; Xu, W. Weak universality of Φ43: polynomial potential and general smoothing mechanism 2005.0545328  Electron. J. Probab. 27 (2022), Paper No. 112, 43,  https://doi.org/10.1214/22-ejp83329
2019c14 Oh, T.; Seong, K.; Tolomeo, L. A remark on Gibbs measures with log-correlated Gaussian fields 2012.0672930  
2019c15 Shen, H.; Song, J.; Sun, R.; Xu, L. Scaling limit of a directed polymer among a Poisson field of independent walks 2003.1294531 J. Funct. Anal. 281(5) (2021), Paper No. 109066, 55, 
https://doi.org/10.1016/j.jfa.2021.10906632
2019c16 Lê, K. Stochastic sewing in Banach space 2105.0936433 Electron. J. Probab. 28 (2023), Paper No. 26, 22, https://doi.org/10.1214/23-ejp91834 
2019c17 Maurelli, M. Non-explosion by Stratonovich noise for ODEs 2001.1159835 Electron. Commun. Probab. 25 (2020), Paper No. 68, 10, https://doi.org/10.1214/20-ECP34736
2019c18 Coghi, M.; Dreyer, W.; Gajewski, P.; Guhlke, C.; Friz, P.; Maurelli, M. A McKean-Vlasov SDE and particle system with interaction from reflecting boundaries 2102.1231537

 Ann. Appl. Probab. 30 (2020), no. 5, 2355–2392,
https://doi.org/10.1137/21M140942138
2019c19 Coghi, M.; Maurelli, M. Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity 2308.0321639
 
2019c20 Brzeźniak, Z.; Maurelli, M.; Schmeding, A. The Ebin-Marsden toolbox for stochastic PDEs: stochastic Euler equations 2311.0819740
2019c21 Butkovsky, O.; Dareiotis, K.; Gerencsér, M. Approximation of SDEs: a stochastic sewing approach 1909.0796141 Probab. Theory Relat. Fields 181 (2021), 975–1034, https://doi.org/10.1007/s00440-021-01080-2, 
https://doi.org/10.1007/s00440-021-01080-242
2019c22 Butkovsky, O.; Dareiotis, K.; Gerencsér, M.  Strong rate of convergence of the Euler scheme for SDEs with irregular drift driven by Levy noise 2204.1292643 to appear at Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
2019c23 Athreya, S.; Butkovsky, O.; Lê, K.; Mytnik, L. Well-posedness of stochastic heat equation with distributional drift and skew stochastic heat equation 2011.1349844
 		 Communications on Pure and Applied Mathematics (2023), https://doi.org/10.1002/cpa.2215745

Participants

Name
Affiliation
Luisa Andreis Weierstraß-Institut Berlin
Ismael Bailleul Université Rennes 1
Nils Berglund Université d'Orléans
Gianmarco Bet Università degli Studi di Firenze
Luigi Amedeo Bianchi University of Trento
Morris Brooks Institute of Science and Technology Austria
Yvain Bruned University of Edinburgh, School of Mathematics.
Zdzislaw Brzezniak University of York
Oleg Butkovsky Weierstraß-Institut für Angewandte Analysis und Stochastik
Giuseppe Cannizzaro University of Warwick
Ajay Chandra Imperial College London
Leandro Chiarini Medeiros IMPA/ TU Delft
Michele Coghi Technische Universität Berlin
Giacomo Di Gesù TU Wien
Henri Elad Altman LPSM (Sorbonne Université)
Dirk Erhard Universidade Federal da Bahia
Siragan Gailus Boston University
Andris Gerasimovics Imperial College London
Mate Gerencser IST Austria
Francesco Grotto Scuola Normale Superiore
Trishen Gunaratnam University of Bath
Emanuela Gussetti Universität Bielefeld
Antoine Hocquet Institut für Mathematik , Technische Universitaet Berlin
Illia Karabash the University of Bonn, Institute for Applied mathematics
Foivos-Iordanis Katsetsiadis University of Edinburgh
Jacek Kiedrowski University of Warwick
Tom Klose Technische Universität Berlin
Roman Kotecký University of Warwick
Khoa Le Imperial College London
Zhuolin Li University of Oxford
Mauro Mariani HSE Moscow
Mario Maurelli University of York
Iuliia Meshkova St. Petersburg State University
Antoine Mouzard University of Rennes 1
Laurent Pfeiffer Inria-Saclay
Nimit Rana University of York
Tommaso Cornelis Rosati Humboldt University
Philipp Schönbauer Imperial College London
Hao Shen University of Wisconsin - Madison
Jakub Slavik The Czech Academy of Sciences
Wen Sun TU Berlin
Chenmin Sun Université de Cergy-Pontoise
Markus Tempelmayr TU Wien
Leonardo Tolomeo University of Edinburgh
Baris Evren Ugurcan Bergische Universität Wuppertal
Gennady Uraltsev Cornell University
Yves van Gennip Delft University of Technology
Willem van Zuijlen Weierstraß-Institut Berlin
Alden Waters University of Groningen
Fanhui Xu Carnegie Mellon University
Weijun Xu University of Oxford
Huanyu Yang Freie Universität Berlin
Margherita Zanella LUISS Guido Carli University
Boguslaw Zegarlinski Imperial College London
Guohuan Zhao Universität Bielefeld

This list does not include people who only participate in workshops or the Summer School.

Poster TP_2019_09.jpg
© HIM

Links

  1. https://www.mathematics.uni-bonn.de/him/programs/past/tp_2019_09#pubs
  2. https://www.mathematics.uni-bonn.de/en/programs/assets/report-tp_2019_09.pdf
  3. https://www.mathematics.uni-bonn.de/him/programs/past/tp_2019_09#part
  4. https://arxiv.org/abs/1912.12547
  5. https://doi.org/10.1007/s00028-020-00600-2
  6. https://arxiv.org/abs/1911.03187
  7. https://doi.org/10.1016/j.jfa.2021.109029
  8. https://arxiv.org/abs/2005.09676
  9. https://doi.org/10.1016/j.physd.2020.132742
  10. https://arxiv.org/abs/2010.14341
  11. https://doi.org/10.1007/s10955-021-02753-x
  12. https://arxiv.org/abs/1912.07233
  13. https://doi.org/10.1142/S021949372040002X
  14. https://arxiv.org/abs/2006.05762
  15. https://www.mathematics.uni-bonn.de/him/%C2%A0https:/doi.org/10.1007/s00209-022-03058-9
  16. https://arxiv.org/abs/2102.13040
  17. https://doi.org/10.1016/j.spa.2022.06.017
  18. https://arxiv.org/abs/2007.12203
  19. https://doi.org/10.1002/cpa.22108
  20. https://arxiv.org/abs/2006.15933
  21. https://doi.org/10.1007/s00220-022-04353-6
  22. https://arxiv.org/abs/2010.02766
  23. https://doi.org/10.1002/cpa.22085
  24. https://arxiv.org/abs/2102.04068
  25. https://doi.org/10.1214/23-ejp984
  26. https://arxiv.org/abs/1911.07295
  27. https://doi.org/10.1007/s10955-022-03031-0
  28. https://arxiv.org/abs/2005.05453
  29. https://doi.org/10.1214/22-ejp833
  30. https://arxiv.org/abs/2012.06729
  31. https://arxiv.org/abs/2003.12945
  32. https://doi.org/10.1016/j.jfa.2021.109066
  33. https://arxiv.org/abs/2105.09364
  34. https://doi.org/10.1214/23-ejp918
  35. https://arxiv.org/abs/2001.11598
  36. https://doi.org/10.1214/20-ECP347
  37. https://arxiv.org/abs/2102.12315
  38. https://doi.org/10.1137/21M1409421
  39. https://arxiv.org/abs/2308.03216
  40. https://arxiv.org/abs/2311.08197
  41. https://arxiv.org/abs/1909.07961
  42. https://doi.org/10.1007/s00440-021-01080-2
  43. https://arxiv.org/abs/2204.12926
  44. https://arxiv.org/abs/2011.13498
  45. https://doi.org/10.1002/cpa.22157
  46. https://www.mathematics.uni-bonn.de/him/programs/past/tp_2019_09#start