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conference
16/01/2019 18/01/2019

Berlin-Leipzig workshop in analysis and stochastics

The workshop focuses on the interplay of analysis and probability theory, ranging from the theory of stochastic partial differential equations, stochastic homogenization, fluid dynamics, statistics, data science, information geometry, random processes in random environments to many body problems and statistical mechanics. We aim to bring together the expertise of the analysis-stochastics groups from Berlin, and its DFG - research unit "Rough paths, stochastic partial differential equations and related topics" and the respective groups from the MPI MIS Leipzig and the University of Leipzig.

The conference will tentatively start on Wednesday at 10 am and close on Friday at 4 pm. There is no registration, participation is free for academics and practitioners. Please contact Katja Heid to reserve accomodation for you until end of October 2018. Travel reimbursement is possible.

Presentations: There will be invited talks only. The talks will be around 20-30 minutes.

Topics include

  • Nonlinear stochastic partial differential equations
  • Regularity structures
  • Fluid dynamics
  • Stochastic homogenization
  • Statistical mechanics
  • Random processes on graphs
  • Phase transitions, critical phenomena
  • Geometric PDE, interface motion
  • Numerical for stochastic and rough differential equations

Program

Jan 16, 2019
09:00 - 10:00
10:00 - 10:30 Aleksander Klimek (MPI MIS)
Spatial Lamda-Fleming-Viot process and SuperBrownian motion in random environments - lookdown perspective
10:30 - 11:00 Antoine Hocquet (TU Berlin)
A mulplicative sewing lemma and some by-products
11:00 - 11:30
11:30 - 12:00 Michael Scheutzow (TU Berlin)
Well-posedness for stochastic delay equations: A generalized coupling approach
12:00 - 12:30 Ilya Pavlyukevich (Universität Jena)
On the heterogeneous diffusion process
12:30 - 14:00
14:00 - 14:30 Paul Breiding (MPI MIS)
Sampling from the uniform distribution on an algebraic variety
14:30 - 15:00 Francesco Galuppi (MPI MIS)
The rough path signature variety
15:00 - 15:30 Jürgen Jost (MPI MIS)
Transition between different weak noise induced resonance phenomena in the FitzHugh-Nagumo neuron model
15:30 - 16:00
16:00 - 16:30 Vitalii Senin (TU Berlin)
Pesin's formula for isotropic Brownian flows
16:30 - 17:00 Youness Boutaib (TU Berlin)
A geometric perspective on regularity structures
17:00 - 17:30 Mazyar Ghani (TU Berlin)
Dynamical properties of Stochastic delay equations
Jan 17, 2019
09:00 - 10:00
10:00 - 10:30 Konstantinos Dareiotis (MPI MIS)
A note on the regularisation of the noise for the Euler scheme with irregular drift
10:30 - 11:00 Nicolas Perkowski (MPI MIS)
Controlled distributions in infinite dimensions: The Burgers generator
11:00 - 11:30
11:30 - 12:00 Wolfgang König (TU Berlin)
Eigenvalue order statistics and mass concentration in the parabolic Anderson model
12:00 - 12:30 Sima Mehri (TU Berlin + BMS)
Stochastic Gronwall Lemma and Well-Posedness of Path-Dependent SDEs Driven by Martingale Noise
12:30 - 14:00
14:00 - 14:30 Oleg Butkovsky (TU Berlin)
Stochastic sewing lemma with propagators and uniqueness of solutions of stochastic heat equation with distributional drift
14:30 - 15:00 Hoang Duc Luu (MPI MIS)
Stability theory for Gaussian rough differential equations
15:00 - 15:30 Monika Eisenmann (TU Berlin)
15:30 - 16:00
16:00 - 16:30 Tobias Lehmann (Universität Leipzig)
Ill-posedness vs. triviality for Dean-Kawasaki dynamics with smooth interaction
16:30 - 17:00 Vitalii Konarovskii (Universität Leipzig)
On Existence of Cadlag Modification of Coalescing-Fragmentating Wasserstein Dynamics
17:00 - 17:30 Jean-Dominique Deuschel (TU Berlin)
Quenched tail estimate for the random walk in random scenery and in random layered conductance II
19:00 - 23:00
Jan 18, 2019
09:00 - 10:00
10:00 - 10:30 Peter Gladbach (Universität Leipzig)
10:30 - 11:00 Mathias Schäffner (Universität Leipzig)
On the regularity for non-uniformly elliptic equations and applications to random homogenization
11:00 - 11:30
11:30 - 12:00 Jörg-Uwe Löbus (MLU Halle-Wittenberg)
Absolute Continuity under Time Shift and Related Stochastic Calculus
12:00 - 12:30 Tal Orenshtein (TU Berlin)
Ballistic random walks in random environment as rough paths
12:30 - 14:00
14:00 - 14:30 Tat Dat Tran (MPI MIS)
The Diaconis-Freedman chain in a multi-dimensional simplex
14:30 - 15:00 Willem van Zuijlen (WIAS Berlin)
Mass-asymptotics for the parabolic Anderson model in 2 d
15:00 - 15:30 Caio Alves (Universität Leipzig)
Preferential attachment random graphs with edge-step functions
15:30 - 16:00
16:00 - 16:30 András Tóbiás (TU Berlin)
Signal-to-interference ratio percolation for Cox point processes
16:30 - 17:00 Tommaso Cornelis Rosato (HU Berlin)
A Rough Superbrownian Motion
17:00 - 17:30 Robert Patterson (WIAS Berlin)
Interaction Clusters for the Kac Process

Participants

Caio Alves

Universität Leipzig

Youness Boutaib

TU Berlin

Paul Breiding

MPI MIS

Oleg Butkovsky

TU Berlin

Konstantinos Dareiotis

MPI MIS

Jean-Dominique Deuschel

TU Berlin

Joscha Diehl

MPI MIS

Ana Djurdjevac

FU Berlin

Monika Eisenmann

TU Berlin

Peter Friz

Technische Universität Berlin

Francesco Galuppi

MPI MIS

Benjamin Gess

MPI MIS

Mazyar Ghani

TU Berlin

Peter Gladbach

Universität Leipzig

Antoine Hocquet

TU Berlin

Jürgen Jost

MPI MIS

Aleksander Klimek

MPI MIS

Vitalii Konarovskii

Universität Leipzig

Wolfgang König

TU Berlin

Florian Kunick

MPI MIS

Tobias Lehmann

Universität Leipzig

Jörg-Uwe Löbus

MLU Halle-Wittenberg

Hoang Duc Luu

MPI MIS

Sima Mehri

TU Berlin + BMS

Marius Neuss

MPI MIS

Tal Orenshtein

TU Berlin

Felix Otto

MPI MIS

Robert Patterson

WIAS Berlin

Ilya Pavlyukevich

Universität Jena

Nicolas Perkowski

MPI MIS

Sebastian Riedel

TU Berlin

Tommaso Cornelis Rosato

HU Berlin

Raimundo Julián Saona

Universidad de Chile

Artem Sapozhnikov

Universität Leipzig

Mathias Schäffner

Universität Leipzig

Michael Scheutzow

TU Berlin

Vitalii Senin

TU Berlin

Scott Smith

MPI MIS

András Tóbiás

TU Berlin

Tat Dat Tran

MPI MIS

Pavlos Tsatoulis

MPI MIS

Willem van Zuijlen

WIAS Berlin

Max von Renesse

Universität Leipzig

Wu Zhaoqi

MPI MIS

Scientific Organizers

Benjamin Gess

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Peter Friz

Technische Universität Berlin

Administrative Contact

Katja Heid