|
|
|
|
| LEADER |
01322 am a22001693u 4500 |
| 001 |
116157 |
| 042 |
|
|
|a dc
|
| 100 |
1 |
0 |
|a Gorin, Vadim
|e author
|
| 100 |
1 |
0 |
|a Massachusetts Institute of Technology. Department of Mathematics
|e contributor
|
| 100 |
1 |
0 |
|a Gorin, Vadim
|e contributor
|
| 700 |
1 |
0 |
|a Panova, Greta
|e author
|
| 245 |
0 |
0 |
|a Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory
|
| 260 |
|
|
|b Institute of Mathematical Statistics,
|c 2018-06-06T18:58:07Z.
|
| 856 |
|
|
|z Get fulltext
|u http://hdl.handle.net/1721.1/116157
|
| 520 |
|
|
|a 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 O(n=1) dense loop model.
|
| 655 |
7 |
|
|a Article
|
| 773 |
|
|
|t The Annals of Probability
|
