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
24 papers
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…
Large Genus Asymptotics for Intersection Numbers and Principal Strata Volumes of Quadratic Differentials
Amol Aggarwal
In this paper we analyze the large genus asymptotics for intersection numbers between -classes, also called correlators, on the moduli space of stable curves. Our proofs proceed…
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…
Directed random polymers via nested contour integrals
Alexei Borodin, Alexey Bufetov, Ivan Corwin
We study the partition function of two versions of the continuum directed polymer in 1+1 dimension. In the full-space version, the polymer starts at the origin and is free to move…