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Nikos Zygouras
Researcher at University of Warwick
Publications - 50
Citations - 1226
Nikos Zygouras is an academic researcher from University of Warwick. The author has contributed to research in topics: Heat equation & Partition function (quantum field theory). The author has an hindex of 19, co-authored 47 publications receiving 1039 citations. Previous affiliations of Nikos Zygouras include University of Southern California.
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Tropical combinatorics and Whittaker functions
TL;DR: In this paper, a connection between the geometric Robinson-Schensted-Knuth (RSK) correspondence and GL(N,R)-Whittaker functions was established, analogous to the well-known relationship between the RSK correspondence and Schur functions.
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Geometric RSK correspondence, Whittaker functions and symmetrized random polymers
TL;DR: In this article, it was shown that the geometric lifting of the RSK correspondence introduced by A.N. Kirillov is volume-preserving with respect to a natural product measure on its domain, and that the integrand in Givental's integral formula for the Whittaker functions arises naturally in this context.
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Polynomial chaos and scaling limits of disordered systems
TL;DR: In this article, the authors formulate general conditions ensuring that a sequence of multi-linear polynomials of independent random variables converges to a limiting random variable, given by a Wiener chaos expansion over the d-dimensional white noise.
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Quenched and Annealed Critical Points in Polymer Pinning Models
TL;DR: In this paper, the authors considered a polymer with configuration modeled by the path of a Markov chain, interacting with a potential u+Vn which the chain encounters when it visits a special state 0 at time n. The disorder (Vn) is a fixed realization of an i.i.d. sequence.
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Universality in marginally relevant disordered systems
TL;DR: In this paper, the authors consider disordered systems of directed polymer type, for which disorder is so-called marginally relevant, and show that in a suitable weak disorder and continuum limit, the partition functions of these different models converge to a universal limit.