Random Walks with Memory
May 29 – June 2, 2017
Non-Markovian random walks have emerged as central topics in modern probability, including models with long-memory effects produced by self-interaction or the influence of random media.
These models provide a variety of complex large-‐scale disordered phenomena with motivations arising from fields such as physics, biology and engineering. Deep relations have emerged or are conjectured with quantum field theory, the KPZ universality class and the theory of Anderson localization.
This meeting will emphasize non-‐reversible random walks in random environments and self-interacting random walks, for which fundamental questions have resisted repeated and persistent attempts to answer them. On the other hand, recent groundbreaking results have been obtained.
We propose to organize a workshop gathering the world-‐experts on this and related fields with the objective of producing a decisive impulse on these challenges.
Gérard Ben Arous (Cournant Institute, NY) Spectral gap estimates for spin glasses
Noam Berger (TU Muenchen and HU Jerusalem) Harnack inequlity for balanced environments
Erwin Bolthausen (Universität Zürich) How to replace random walk representations in models which don’t have one? (pdf)
Manuel Cabezas (PUC, Santiago) The ant in the tree
Nicholas Crawford (Technion Israel Institute of Technology) Stability of Phases and Interacting Particle Systems (pdf)
Jean-Dominique Deuschel (TU Berlin) Quenched tail estimate for the random walk in random scenery and in random layered conductance
Margherita Disertori (University of Bonn) Some results on history dependent stochastic processes
Anna Erschler (ENS Paris) Almost invariance for n-step disrtibutions of random walks
Alessandra Faggionato (Sapienza Universita di Roma) Ballisticity and Einstein relation in 1d Mott variable range hopping (pdf)
Alexander Fribergh (Université de Montréal) The ant in the labyrinth
Alan M. Hammond (UC Berkeley) The weight, geometry and coalescence of scaled polymers in Brownian last passage percolation
Dmitry Ioffe (Technion Israel Institute of Technology) Non-colliding random walks under area tilts
Gady Kozma (The Weizmann Institute of Science, Rehovot) Internal diusion-limited aggregation with random starting points
Takashi Kumagai (Kyoto University) Time changes of stochastic processes : Convergence and heat kernel estimates
Françoise Pène (Université de Bretagne Occidentale) Persistence probabilities for processes with stationary increments (pdf)
Yuval Peres (Microsoft Research, Redmond) Self-interacting martingales and uniform spanning forests
Timo Seppäläinen (University of Wisconsin-Madison) Random walk in random environment and the Kardar-Parisi-Zhang class
Vladas Sidoravicius (IMPA Brazil) The mathematics of DLA
Perla Sousi (University of Cambridge) Random walks on dynamical percolation
Tom Spencer (Institute for Advanced Study, Princeton) An Introduction to hyperbolic sigma models and Edge Reinforced Random Walk (pdf)
Balint Virag (University of Toronto) Random Sorting Networks (pdf)
Ofer Zeitouni (Weizmann Institute) Homogenization for controlled random walk in random potential – the one dimensional case