Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs - IPAM

Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs

Part of the Long Program High Dimensional Hamilton-Jacobi PDEs
May 18 - 22, 2020

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, May 18, 2020

Morning Session

08:20-08:30
Welcome & Opening Remarks: Dean Miguel García-Garibay (Dean of Physical Sciences, UCLA) and Dima Shlyakhtenko (Director, IPAM)
08:30-08:30
Session Chair Jeff Calder (UMN)
08:30-09:20
Yifeng Yu (University of California, Irvine (UCI))
Properties of Effective Hamiltonians
09:30-09:45
Break
09:45-10:35
Ofer Zeitouni (Weizmann Institute of Science)
Polymers and stochastic heat equations on graphs
10:45-11:00
Break
11:00-11:50
Hicham Kouhkouh (Università degli Studi di Padova)
POSTER PRESENTATION: Singular perturbations in stochastic control and HJB equation (30 mins)

Afternoon Session

12:00-13:00
Lunch (on your own)
13:00-13:50
Jessica Lin (McGill University)
Homogenization of an Allen-Cahn Equation in Periodic Media
14:00-14:15
Break
14:15-15:05
Fraydoun Rezakhanlou (University of California, Berkeley (UC Berkeley))
Kinetic Theory for Hamilton-Jacobi PDEs

Tuesday, May 19, 2020

Morning Session

08:30-08:30
Session Chair Jessica Lin (McGill)
08:30-09:20
Jeremy Quastel (University of Toronto)
Integrable fluctuations in 1+1 dimensional random growth
09:30-09:45
Break
09:45-10:35
Atilla Yilmaz (Temple University)
Nonconvex homogenization for one-dimensional controlled Brownian motion in a random potential
10:45-11:00
Break
11:00-11:50
Elena Kosygina (Bernard M. Baruch College, CUNY)
Stochastic homogenization of a class of nonconvex viscous HJ equations in one space dimension

Afternoon Session

12:00-13:00
Lunch (on your own)
13:00-13:50
Firas Rassoul-Agha (University of Utah)
Geometry of geodesics through Busemann measures in directed last-passage percolation
14:00-14:15
Break
14:15-15:05
Jeff Calder (University of Minnesota, Twin Cities)
Discrete regularity for graph Laplacians

Thursday, May 21, 2020

Morning Session

08:30-08:30
Session Chair Fraydoun Rezakhanlou (UC Berkeley)
08:30-09:20
Benjamin Gess (Universität Leipzig)
Large deviations for conservative, stochastic PDE and non-equilibrium fluctuations
09:30-09:45
Break
09:45-10:35
Houman Owhadi (California Institute of Technology)
On interplays between stochastic and numerical analysis.
10:45-11:00
Break
11:00-11:50
Jack Xin (University of California, Irvine (UCI))
Lagrangian Approximations and Computations of Effective Diffusivities and Front Speeds in Chaotic and Stochastic Volume Preserving Flows

Friday, May 22, 2020

Morning Session

08:30-08:30
Session Chair Houman Owhadi (Caltech, ACM)
08:30-09:20
Aaron (Nung Kwan) Yip (Purdue University)
Coarsening rates for non-local Cahn-Hilliard equation
09:30-09:45
Break
09:45-10:35
Will Feldman (IAS and Univ. of Utah)
Mean curvature flow with positive random forcing in 2-d
10:45-11:00
Break
11:00-11:50
Grigorios Pavliotis (Imperial College)
Mean field limits for interacting particle systems: phase transitions, fluctuations and applications

Afternoon Session

12:00-12:00
Conclusion
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