OBSERVABLES OF MACDONALD PROCESSES

被引：23

作者：

Borodin, Alexei ^{[1
,2
]}

Corwin, Ivan ^{[3
,4
,5
]}

Gorin, Vadim ^{[1
,2
]}

Shakirov, Shamil ^{[6
]}

机构：

[1] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA

[2] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow, Russia

[3] Columbia Univ, Dept Math, 2990 Broadway, New York, NY 10027 USA

[4] Clay Math Inst, 10 Mem Blvd,Suite 902, Providence, RI 02903 USA

[5] Inst Poincare, 11 Rue Pierre & Marie Curie, F-75005 Paris, France

[6] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 368卷 / 03期

基金：

美国国家科学基金会;

关键词：

FREE-ENERGY FLUCTUATIONS; DIRECTED POLYMERS; TRANSFORMATIONS; POLYNOMIALS; PARTITIONS; BOUNDARY;

D O I：

10.1090/tran/6359

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a framework for computing averages of various observables of Macdonald processes. This leads to new contour-integral formulas for averages of a large class of multilevel observables, as well as Fredholm determinants for averages of two different single level observables.

引用

页码：1517 / 1558

页数：42

共 46 条

[1]

Aggrawal A., CORRELATION FU UNPUB

[2] Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 Dimensions [J].

Amir, Gideon ;

Corwin, Ivan ;

Quastel, Jeremy .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2011, 64 (04) :466-537

[3]

[Anonymous], 1996, FORMAL POWER SERIES

[4]

[Anonymous], OXFORD MATH MONOGRAP

[5] Z-measures on partitions and their scaling limits [J].

Borodin, A ;

Olshanski, G .

EUROPEAN JOURNAL OF COMBINATORICS, 2005, 26 (06) :795-834

[6]

Borodin A., ARXIV13055501

[7]

Borodin A., ARXIV12123351

[8]

Borodin A., STATIONARY SOL UNPUB

[9]

Borodin A., ARXIV13053627

[10]

Borodin A. M., 1995, FUNKTSIONAL ANAL PRI, V29, p[72, 279], DOI 10.1007/BF01077476

← 1 2 3 4 5 →