His primary areas of investigation include Fredholm determinant, Interacting particle system, Bethe ansatz, Statistical physics and Mathematical analysis. His work carried out in the field of Fredholm determinant brings together such families of science as Laplace transform, Asymmetric simple exclusion process, Discrete time and continuous time, Methods of contour integration and Scaling. Ivan Corwin interconnects Applied mathematics and Ansatz in the investigation of issues within Methods of contour integration.
His study focuses on the intersection of Bethe ansatz and fields such as Heat equation with connections in the field of Probability distribution, Orthogonal polynomials and Degenerate energy levels. His Statistical physics research includes elements of Class, Scaling limit and Brownian motion. He is involved in the study of Mathematical analysis that focuses on Initial value problem in particular.
Mathematical analysis, Statistical physics, Heat equation, Mathematical physics and Fredholm determinant are his primary areas of study. His research in Mathematical analysis intersects with topics in Scaling and Brownian motion. The concepts of his Statistical physics study are interwoven with issues in Renormalization group, Random walk and Combinatorics.
His Heat equation study combines topics from a wide range of disciplines, such as Logarithm, Torus, Dirac delta function, Kardar–Parisi–Zhang equation and One-dimensional space. His study in Fredholm determinant is interdisciplinary in nature, drawing from both Laplace transform, Bethe ansatz, Methods of contour integration and Ansatz. His Limit research includes themes of Gaussian free field and Asymmetric simple exclusion process.
The scientist’s investigation covers issues in Scaling, Mathematical analysis, Limit, Mathematical physics and Applied mathematics. His research integrates issues of Wedge and Brownian motion in his study of Mathematical analysis. Ivan Corwin has researched Limit in several fields, including Discrete mathematics, Key and Asymmetric simple exclusion process.
His work in Mathematical physics covers topics such as Zero which are related to areas like Function, Operator and Heat equation. His study on Applied mathematics is mostly dedicated to connecting different topics, such as Bethe ansatz. As a member of one scientific family, Ivan Corwin mostly works in the field of Distribution, focusing on Class and, on occasion, Statistical physics.
Ivan Corwin focuses on Scaling, Exponent, Mathematical physics, Crossover and Mathematical analysis. His research in Scaling focuses on subjects like Vertex model, which are connected to Quadrant, Half line, Yang–Baxter equation and Asymmetric simple exclusion process. His Mathematical physics research incorporates elements of Semigroup, Hölder condition, Kernel, Torus and Asymmetry.
His Mathematical analysis research is multidisciplinary, incorporating perspectives in Critical point and Brownian motion. His research investigates the connection between Statistical physics and topics such as Point process that intersect with issues in Gaussian. His studies in Kardar–Parisi–Zhang equation integrate themes in fields like Initial value problem, Exponential decay, Rate function and WKB approximation.
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THE KARDAR-PARISI-ZHANG EQUATION AND UNIVERSALITY CLASS
Ivan Zachary Corwin.
Random Matrices: Theory and Applications (2012)
THE KARDAR-PARISI-ZHANG EQUATION AND UNIVERSALITY CLASS
Ivan Zachary Corwin.
Random Matrices: Theory and Applications (2012)
Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
Gideon Amir;Ivan Corwin;Jeremy Quastel.
Communications on Pure and Applied Mathematics (2011)
Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
Gideon Amir;Ivan Corwin;Jeremy Quastel.
Communications on Pure and Applied Mathematics (2011)
Macdonald processes
Alexei Borodin;Ivan Corwin.
arXiv: Probability (2011)
From duality to determinants for q-TASEP and ASEP
Alexei Borodin;Ivan Corwin;Tomohiro Sasamoto.
Annals of Probability (2014)
From duality to determinants for q-TASEP and ASEP
Alexei Borodin;Ivan Corwin;Tomohiro Sasamoto.
Annals of Probability (2014)
Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
Alexei Borodin;Ivan Corwin;Patrik Ferrari.
Communications on Pure and Applied Mathematics (2014)
Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
Alexei Borodin;Ivan Corwin;Patrik Ferrari.
Communications on Pure and Applied Mathematics (2014)
Brownian Gibbs property for Airy line ensembles
Ivan Corwin;Alan Hammond.
Inventiones Mathematicae (2014)
Journal of Functional Analysis
(Impact Factor: 1.891)
Bulletin of the American Mathematical Society
(Impact Factor: 2.296)
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