DOAJ Open Access 2013

Asymptotics of symmetric polynomials

Vadim Gorin Greta Panova

Lihat Sumber DOI

Abstrak

We develop a new method for studying the asymptotics of symmetric polynomials of representation–theoretic origin as the number of variables tends to infinity. Several applications of our method are presented: We prove a number of theorems concerning characters of infinite–dimensional unitary group and their $q$–deformations. We study the behavior of uniformly random lozenge tilings of large polygonal domains and find the GUE–eigenvalues distribution in the limit. We also investigate similar behavior for Alternating Sign Matrices (equivalently, six–vertex model with domain wall boundary conditions). Finally, we compute the asymptotic expansion of certain observables in the $O(n=1)$ dense loop model.

Topik & Kata Kunci

Mathematics

Penulis (2)

Vadim Gorin

Greta Panova

Format Sitasi

APA MLA BibTeX

Gorin, V., Panova, G. (2013). Asymptotics of symmetric polynomials. https://doi.org/10.46298/dmtcs.12791

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.12791

Informasi Jurnal

Tahun Terbit: 2013
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.12791
Akses: Open Access ✓