3 citations · 3 across the 9 of their papers we have counts for
5 papers · 2 filters
Renormalizing small ball events for branching random walk
Vilas Winstein
Consider a branching random walk (BRW) of depth with standard Gaussian increments, conditioned on all endpoints lying in an interval of radius (which may depend on ), i.…
Correlation decay in area-tilted line ensembles
Shirshendu Ganguly, Vilas Winstein
Random surfaces on a hard substrate often exhibit entropic repulsion, wherein the surface is propelled upwards to allow entropically preferable downward fluctuations. A particularl…
The maximum-entropy median-martingale
Rikhav Shah, Vilas Winstein
This short note explores the maximum-entropy walk on the unit interval that is a median-martingale. That is, the median of its next state is equal to its current state. The station…
Wasserstein distances between ERGMs and Erdős-Rényi models
Vilas Winstein
Ferromagnetic exponential random graph models (ERGMs) are random graph models under which the presence of certain small structures (such as triangles) is encouraged; they can be co…
Approximate FKG inequalities for phase-bound spin systems, with applications to central limit theorems for exponential random graphs
Satyaki Mukherjee, Vilas Winstein
The Fortuin-Kasteleyn-Ginibre (FKG) inequality is an invaluable tool in monotone spin systems satisfying the FKG lattice condition, which provides positive correlations for all coo…