121 citations
- Columbia UniversityUS15 papers
- Massachusetts Institute of TechnologyUS9 papers
- Institute for Information Transmission ProblemsRU5 papers
- Institut Henri PoincaréFR5 papers
- Northeastern UniversityUS3 papers
- University of UtahUS3 papers
- Center for Mathematical ModelingCL2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Chiba UniversityJP2 papers
- Clay Technology (Sweden)SE2 papers
- Stanford UniversityUS2 papers
- University of ChileCL2 papers
11 papers · 1 filter
Nonexistence and Uniqueness for Pure States of Ferroelectric Six-Vertex Models
Amol Aggarwal
In this paper we consider the existence and uniqueness of pure states with some fixed slope for a general ferroelectric six-vertex model. First, we show there…
Kardar-Parisi-Zhang equation and large deviations for random walks in weak random environments
Ivan Corwin, Yu Gu
We consider the transition probabilities for random walks in dimensional space-time random environments (RWRE). For critically tuned weak disorder we prove a sharp large devi…
Intermediate disorder directed polymers and the multi-layer extension of the stochastic heat equation
Ivan Corwin, Mihai Nica
We consider directed polymer models involving multiple non-intersecting random walks moving through a space-time disordered environment in one spatial dimension. For a single rando…
Stochastic heat equation limit of a (2+1)d growth model
Alexei Borodin, Ivan Corwin, Fabio Lucio Toninelli
We determine a limit of the two-dimensional -Whittaker driven particle system on the torus studied previously in [Corwin-Toninelli, arXiv:1509.01605]. This has an inter…
KPZ equation limit of higher-spin exclusion processes
Ivan Corwin, Li-Cheng Tsai
We prove that under a particular weak scaling, the 4-parameter interacting particle system introduced by Corwin and Petrov converges to the KPZ equation. This expands the relativel…
Random-walk in Beta-distributed random environment
Guillaume Barraquand, Ivan Corwin
We introduce an exactly-solvable model of random walk in random environment that we call the Beta RWRE. This is a random walk in which performs nearest neighbour jumps…