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- Ivan Corwin

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
5,262
98
World Ranking
1321
National Ranking
599

- Mathematical analysis
- Quantum mechanics
- Geometry

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.

- THE KARDAR-PARISI-ZHANG EQUATION AND UNIVERSALITY CLASS (592 citations)
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions (571 citations)
- Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension (157 citations)

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.

- Mathematical analysis (47.85%)
- Statistical physics (29.57%)
- Heat equation (31.72%)

- Scaling (23.12%)
- Mathematical analysis (47.85%)
- Limit (22.58%)

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.

- Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process (39 citations)
- Open ASEP in the Weakly Asymmetric Regime (38 citations)
- Coulomb-Gas Electrostatics Controls Large Fluctuations of the Kardar-Parisi-Zhang Equation. (28 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

THE KARDAR-PARISI-ZHANG EQUATION AND UNIVERSALITY CLASS

Ivan Zachary Corwin.

Random Matrices: Theory and Applications **(2012)**

695 Citations

THE KARDAR-PARISI-ZHANG EQUATION AND UNIVERSALITY CLASS

Ivan Zachary Corwin.

Random Matrices: Theory and Applications **(2012)**

695 Citations

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)**

659 Citations

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)**

659 Citations

Macdonald processes

Alexei Borodin;Ivan Corwin.

arXiv: Probability **(2011)**

256 Citations

From duality to determinants for q-TASEP and ASEP

Alexei Borodin;Ivan Corwin;Tomohiro Sasamoto.

Annals of Probability **(2014)**

197 Citations

From duality to determinants for q-TASEP and ASEP

Alexei Borodin;Ivan Corwin;Tomohiro Sasamoto.

Annals of Probability **(2014)**

197 Citations

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)**

194 Citations

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)**

194 Citations

Brownian Gibbs property for Airy line ensembles

Ivan Corwin;Alan Hammond.

Inventiones Mathematicae **(2014)**

174 Citations

Journal of Functional Analysis

(Impact Factor: 1.891)

Bulletin of the American Mathematical Society

(Impact Factor: 2.296)

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