M
Michael Gekhtman
Researcher at University of Notre Dame
Publications - 96
Citations - 2259
Michael Gekhtman is an academic researcher from University of Notre Dame. The author has contributed to research in topics: Cluster algebra & Poisson bracket. The author has an hindex of 27, co-authored 94 publications receiving 2052 citations. Previous affiliations of Michael Gekhtman include Taras Shevchenko National University of Kyiv & Weizmann Institute of Science.
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Book
Cluster Algebras and Poisson Geometry
TL;DR: Cluster algebras, introduced by Fomin and Zelevinsky in 2001, are commutative rings with unit and no zero divisors equipped with a distinguished family of generators (cluster variables) grouped in overlapping subsets of the same cardinality (the rank of the cluster algebra) connected by exchange relations as discussed by the authors.
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Cluster algebras and Weil-Petersson forms
TL;DR: In this paper, the authors considered the case of a general matrix of transition exponents and showed that a relevant geometric object in this case is a certain closed 2-form compatible with the cluster algebra structure.
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The Cauchy Two-Matrix Model
TL;DR: In this paper, a new class of two-multi-matrix models of positive Hermitian matrices coupled in a chain is introduced, which is related to the Cauchy kernel and differs from the exponential coupling more commonly used in similar models.
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Cauchy–Laguerre Two-Matrix Model and the Meijer-G Random Point Field
TL;DR: In this paper, Bertola et al. showed that the Meijer-G random field is a two-level random point field that converges to the Bessel random field and hence the behavior of the smallest eigenvalues of one of the two matrices of the Laguerre ensemble.
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Cauchy biorthogonal polynomials
TL;DR: In this paper, the authors investigated the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite-Pade approximation scheme and proved that their zeros are simple and positive.