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

[41] One-Dimensional Kardar-Parisi-Zhang Equation: An Exact Solution and its Universality [J].

Sasamoto, Tomohiro ;

Spohn, Herbert .

PHYSICAL REVIEW LETTERS, 2010, 104 (23)

[42] SCALING FOR A ONE-DIMENSIONAL DIRECTED POLYMER WITH BOUNDARY CONDITIONS [J].

Seppaelaeinen, Timo .

ANNALS OF PROBABILITY, 2012, 40 (01) :19-73

[43] A family of integral transformations and basic hypergeometric series [J].

Shiraishi, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 263 (02) :439-460

[44]

Vuletic M, 2009, T AM MATH SOC, V361, P2789

[45] Bisymmetric functions, Macdonald polynomials and Sl3 basic hypergeometric series [J].

Warnaar, S. Ole .

COMPOSITIO MATHEMATICA, 2008, 144 (02) :271-303

[46]

Zelevinsky A. V., 1981, LECT NOTES MATH, V869

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