I
Ivan Corwin
Researcher at Columbia University
Publications - 158
Citations - 7362
Ivan Corwin is an academic researcher from Columbia University. The author has contributed to research in topics: Heat equation & Limit (mathematics). The author has an hindex of 44, co-authored 146 publications receiving 6426 citations. Previous affiliations of Ivan Corwin include University of Paris & Massachusetts Institute of Technology.
Papers
More filters
Journal ArticleDOI
The kardar-parisi-zhang equation and universality class
TL;DR: In this article, the authors present a survey of the development of the Kardar-Parisi-Zhang (KPZ) universality class and its application to a wide class of physical and probabilistic models.
Journal ArticleDOI
Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
TL;DR: In this paper, the authors considered the solution of the stochastic heat equation @TZ D 1 @ 2 X ZZ P W with delta function initial condition Z and obtained explicit formulas for the one-dimensional marginal distributions, the crossover distributions, which interpolate between a standard Gaussian dis- tribution (small time) and the GUE Tracy-Widom distribution (large time).
Journal ArticleDOI
Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
TL;DR: In this article, the authors consider the crossover behavior between the symmetric and asymmetric exclusion processes and obtain explicit formulas for the one-dimensional marginal distributions, which interpolate between a standard Gaussian distribution and the GUE Tracy-Widom distribution.
Posted Content
The Kardar-Parisi-Zhang equation and universality class
TL;DR: In this paper, the authors present a survey of the development of the Kardar-Parisi-Zhang (KPZ) universality class and its connections with directed polymers in random media.
Journal ArticleDOI
Brownian Gibbs property for Airy line ensembles
Ivan Corwin,Alan Hammond +1 more
TL;DR: In this paper, it was shown that the top line of the Airy line ensemble without a parabola attains its maximum at a unique point, which is the case of the non-intersecting version of the multi-line Airy process.