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7 papers · 2 filters
Ising (Conformal) Fields and Cluster Area Measures
Federico Camia, Charles M. Newman
We provide a representation for the scaling limit of the d=2 critical Ising magnetization field as a (conformal) random field using SLE (Schramm-Loewner Evolution) clusters and ass…
Coagulation, diffusion and the continuous Smoluchowski equation
Mohammad Reza Yaghouti, Fraydoun Rezakhanlou, Alan Hammond
The Smoluchowski equation is a system of partial differential equations modelling the diffusion and binary coagulation of a large collection of tiny particles. The mass parameter m…
How hot can a heat bath get?
Martin Hairer
We study a model of two interacting Hamiltonian particles subject to a common potential in contact with two Langevin heat reservoirs: one at finite and one at infinite temperature.…
Exceptional Times for the Dynamical Discrete Web
L. R. G. Fontes, C. M. Newman, K. Ravishankar +1
The dynamical discrete web (DyDW),introduced in recent work of Howitt and Warren, is a system of coalescing simple symmetric one-dimensional random walks which evolve in an extra c…
Marking (1,2) Points of the Brownian Web and Applications
C. M. Newman, K. Ravishankar, E. Schertzer
The Brownian web (BW), which developed from the work of Arratia and then Tóth and Werner, is a random collection of paths (with specified starting points) in one plus one dimension…
Quenched large deviations for random walk in a random environment
Atilla Yilmaz
We take the point of view of a particle performing random walk with bounded jumps on in a stationary and ergodic random environment. We prove the quenched large devi…