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- Alexei Borodin

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
61
Citations
9,766
156
World Ranking
365
National Ranking
202

2018 - Fellow of the American Academy of Arts and Sciences

- Mathematical analysis
- Quantum mechanics
- Algebra

His primary areas of investigation include Pure mathematics, Mathematical analysis, Random matrix, Limit and Determinantal point process. His Pure mathematics research incorporates elements of Simple and Unitary group. His work on Orthogonal polynomials as part of general Mathematical analysis study is frequently connected to Fixed time, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.

His Random matrix study combines topics from a wide range of disciplines, such as Statistical physics, Asymmetric simple exclusion process and Scaling limit. His Limit research is multidisciplinary, incorporating perspectives in Discrete mathematics, Negative hypergeometric distribution, Hypergeometric distribution, Combinatorics and Generalization. Alexei Borodin combines Determinantal point process and Point process in his studies.

- Asymptotics of Plancherel measures for symmetric groups (407 citations)
- Fluctuation Properties of the TASEP with Periodic Initial Configuration (261 citations)
- Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs (221 citations)

His scientific interests lie mostly in Pure mathematics, Combinatorics, Mathematical analysis, Random matrix and Limit. Alexei Borodin has researched Pure mathematics in several fields, including Measure, Unitary group and Determinantal point process. The concepts of his Combinatorics study are interwoven with issues in Discrete mathematics and Potential theory.

His Mathematical analysis research focuses on Asymmetric simple exclusion process and how it connects with Distribution. His Random matrix research integrates issues from Gaussian, Scaling limit and Statistical physics. His research integrates issues of Gaussian free field, Connection, Generalization and Type in his study of Limit.

- Pure mathematics (42.59%)
- Combinatorics (35.36%)
- Mathematical analysis (21.67%)

- Vertex model (10.27%)
- Pure mathematics (42.59%)
- Combinatorics (35.36%)

His primary areas of study are Vertex model, Pure mathematics, Combinatorics, Limit and Mathematical analysis. His studies in Vertex model integrate themes in fields like Quadrant, Statistical physics, Asymmetric simple exclusion process, Height function and Integrable system. His Pure mathematics research includes themes of Cauchy distribution, Initial value problem and Random matrix.

His work focuses on many connections between Combinatorics and other disciplines, such as Discrete mathematics, that overlap with his field of interest in Toy model. His Limit research includes elements of Function, Exponential function, Methods of contour integration and Thermodynamic limit. As a part of the same scientific study, he usually deals with the Mathematical analysis, concentrating on Gaussian and frequently concerns with Anisotropy, Order and Differential equation.

- Higher spin six vertex model and symmetric rational functions (95 citations)
- On a family of symmetric rational functions (87 citations)
- Stochastic six-vertex model in a half-quadrant and half-line open ASEP (43 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

Alexei Borodin focuses on Vertex model, Combinatorics, Pure mathematics, Integrable system and Quadrant. His Vertex model research is multidisciplinary, incorporating perspectives in Asymmetric simple exclusion process, Multiplicative function, Distribution, Boundary value problem and Asymptotic analysis. Alexei Borodin specializes in Combinatorics, namely Power sum symmetric polynomial.

His Pure mathematics research includes elements of Cauchy distribution and Initial value problem. Alexei Borodin usually deals with Integrable system and limits it to topics linked to Symmetric function and Vertex. A large part of his Mathematical analysis studies is devoted to Limit.

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.

Asymptotics of Plancherel measures for symmetric groups

Alexei Borodin;Andrei Okounkov;Andrei Okounkov;Grigori Olshanski.

Journal of the American Mathematical Society **(2000)**

454 Citations

Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs

Alexei Borodin;Eric M. Rains.

Journal of Statistical Physics **(2005)**

340 Citations

Determinantal point processes

Alexei Borodin.

arXiv: Probability **(2011)**

293 Citations

Fluctuation Properties of the TASEP with Periodic Initial Configuration

Alexei Borodin;Patrik L. Ferrari;Michael Prähofer;Tomohiro Sasamoto.

Journal of Statistical Physics **(2007)**

290 Citations

Anisotropic growth of random surfaces in 2+1 dimensions

Patrik L. Ferrari;Alexei Borodin.

arXiv: Mathematical Physics **(2008)**

281 Citations

Anisotropic growth of random surfaces in 2 + 1 dimensions

Alexei Borodin;Patrik L. Ferrari.

Communications in Mathematical Physics **(2014)**

259 Citations

Macdonald processes

Alexei Borodin;Ivan Corwin.

arXiv: Probability **(2011)**

256 Citations

A Fredholm determinant formula for Toeplitz determinants

Alexei Borodin;Andrei Okounkov.

Integral Equations and Operator Theory **(2000)**

249 Citations

The Ginibre Ensemble of Real Random Matrices and its Scaling Limits

A. Borodin;C. D. Sinclair.

Communications in Mathematical Physics **(2009)**

201 Citations

Averages of Characteristic Polynomials in Random Matrix Theory

A. Borodin;E. Strahov.

Communications on Pure and Applied Mathematics **(2005)**

201 Citations

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