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 1912.12547 J. Evol. Equ. 21(1) (2021), 763-769, https://doi.org/10.1007/s00028-020-00600-2
2019c02 Brooks, M.; Di Gesù, G. Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension 1911.03187 J. Funct. Anal. 281(3) (2021), Paper No. 109029, 36, https://doi.org/10.1016/j.jfa.2021.109029
2019c03 Amedeo Bianchi, L.; Blömker, D. The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation 2005.09676 Phys. D. 415 (2021), Paper No. 132742, 8, https://doi.org/10.1016/j.physd.2020.132742
2019c04 Amedeo Bianchi, L.; Morandin, F. Linear Stochastic Dyadic model 2010.14341 J. Stat. Phys. 183(2) (2021), Paper No. 20, 22, https://doi.org/10.1007/s10955-021-02753-x 
2019c05 Coghi, M.; Maurelli, M. Regularized vortex approximation for 2D Euler equations with transport noise 1912.07233 Stoch. Dyn. 20(6) (2020), 2040002, https://doi.org/10.1142/S021949372040002X
2019c06 Strohmaier, A.; Waters, A. Analytic properties of heat equation solutions and reachable sets 2006.05762 Math. Z. 302(1) (2022), 259-274, https://doi.org/10.1007/s00209-022-03058-9
2019c07 Agazzi, A.; Andreis, L.; Patterson, R.I.A.; Renger, D.R.M. Large deviations for Markov jump processes with uniformly diminishing rates 2102.13040 Stochastic Process. Appl. 152 (2022), 533-559, https://doi.org/10.1016/j.spa.2022.06.017
2019c08 Cannizzaro, G.; Erhard, D.; Toninelli, F. The stationary AKPZ equation: logarithmic superdiffusivity 2007.12203 Comm. Pure Appl. Math. 76(11) (2023), 3044-3103, https://doi.org/10.1002/cpa.22108
2019c09 Chandra, A.; Gunaratnam, T.S.; Weber, H. Phase transitions for φ34 2006.15933 Comm. Math. Phys. 392(2) (2022), 691-782, https://doi.org/10.1007/s00220-022-04353-6
2019c10 Cannizzaro, G.; Hairer, M. The Brownian Castle 2010.02766 Comm. Pure Appl. Math. 76(10) (2023), 2693-2764, https://doi.org/10.1002/cpa.22085
2019c11 Cannizzaro, G.; Hairer, M. The Brownian Web as a random R-tree 2102.04068 Electron. J. Probab. 28 (2023), Paper No. 102, 47, https://doi.org/10.1214/23-ejp984
2019c12 Erhard, D.; Franco, T.; Reis, G. The Directed Edge Reinforced Random Walk: The Ant Mill Phenomenon 1911.07295 J. Stat. Phys. 190(1) (2023), Paper No. 18, 18,
https://doi.org/10.1007/s10955-022-03031-0
2019c13 Erhard, D.; Xu, W. Weak universality of Φ43: polynomial potential and general smoothing mechanism 2005.05453  Electron. J. Probab. 27 (2022), Paper No. 112, 43,  https://doi.org/10.1214/22-ejp833
2019c14 Oh, T.; Seong, K.; Tolomeo, L. A remark on Gibbs measures with log-correlated Gaussian fields 2012.06729  
2019c15 Shen, H.; Song, J.; Sun, R.; Xu, L. Scaling limit of a directed polymer among a Poisson field of independent walks 2003.12945 J. Funct. Anal. 281(5) (2021), Paper No. 109066, 55, 
https://doi.org/10.1016/j.jfa.2021.109066
2019c16 Lê, K. Stochastic sewing in Banach space 2105.09364 Electron. J. Probab. 28 (2023), Paper No. 26, 22, https://doi.org/10.1214/23-ejp918 
2019c17 Maurelli, M. Non-explosion by Stratonovich noise for ODEs 2001.11598 Electron. Commun. Probab. 25 (2020), Paper No. 68, 10, https://doi.org/10.1214/20-ECP347
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 2102.12315

Ann. Appl. Probab. 30 (2020), no. 5, 2355–2392,
https://doi.org/10.1137/21M1409421
2019c19 Coghi, M.; Maurelli, M. Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity 2308.03216
 
2019c20 Brzeźniak, Z.; Maurelli, M.; Schmeding, A. The Ebin-Marsden toolbox for stochastic PDEs: stochastic Euler equations 2311.08197
2019c21 Butkovsky, O.; Dareiotis, K.; Gerencsér, M. Approximation of SDEs: a stochastic sewing approach 1909.07961 Probab. Theory Relat. Fields 181 (2021), 975–1034, https://doi.org/10.1007/s00440-021-01080-2, 
https://doi.org/10.1007/s00440-021-01080-2
2019c22 Butkovsky, O.; Dareiotis, K.; Gerencsér, M.  Strong rate of convergence of the Euler scheme for SDEs with irregular drift driven by Levy noise 2204.12926 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 2011.13498
 
Communications on Pure and Applied Mathematics (2023), https://doi.org/10.1002/cpa.22157


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.

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