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Alexey Bufetov
Researcher at University of Bonn
Publications - 42
Citations - 799
Alexey Bufetov is an academic researcher from University of Bonn. The author has contributed to research in topics: Unitary group & Symmetric group. The author has an hindex of 16, co-authored 41 publications receiving 666 citations. Previous affiliations of Alexey Bufetov include Massachusetts Institute of Technology & Russian Academy of Sciences.
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Fluctuations of particle systems determined by Schur generating functions
TL;DR: In this paper, a new toolbox for the analysis of the global behavior of stochastic discrete particle systems has been developed, based on the notion of the Schur generating function of a random discrete configuration.
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Asymptotics of random domino tilings of rectangular Aztec diamonds
Alexey Bufetov,Alisa Knizel +1 more
TL;DR: In this article, asymptotics of a domino tiling model on a class of domains which are called rectangular Aztec diamonds are considered and the Law of Large Numbers for the corresponding height functions and explicit formulas for the limit are provided.
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Representations of classical Lie groups and quantized free convolution
TL;DR: In this article, the Law of Large Numbers for the random counting measures describing the decomposition of a tensor product was proved for all series of classical Lie groups as the rank of the group goes to infinity, leading to two operations on measures which are deformations of the notions of free convolution and the free projection.
Posted Content
Between the stochastic six vertex model and Hall-Littlewood processes
TL;DR: In this paper, it was shown that the joint distribution of the values of the height function for the stochastic six vertex model in a quadrant along a down-right path coincides with that for the lengths of the first columns of partitions distributed according to certain Hall-Littlewood processes.
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Directed random polymers via nested contour integrals
TL;DR: In this article, the authors studied the partition function of two versions of the continuum directed polymer in 1 + 1 dimension, and derived exact formulas for the Laplace transforms of the partition functions.