Signatures of partition functions and their complexity reduction through the KP II equation (original) (raw)

A generating function for the N-soliton solutions of the Kadomtsev-Petviashvili II equation

Yuji Kodama

2008

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Constrained KP Hierarchies: Additional Symmetries. Darboux-Baecklund Solutions and Relations to Multi-Matrix Models

Svetlana Pacheva

International Journal of Modern …, 1997

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Families of solutions to the KPI equation and the structure of their rational representations of order N

pierre gaillard

2018

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Zeros and amoebas of partition functions

Mario Angelelli

Reviews in Mathematical Physics, 2018

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Fredholm determinants and the {$\tau$} function for the Kadomtsev-Petviashvili hierarchy

Ali Aftab Ashraf

Publications of the Research Institute for Mathematical Sciences, 1988

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On reductions of the discrete Kadomtsev–Petviashvili-type equations

Frank Nijhoff

Journal of Physics A: Mathematical and Theoretical, 2017

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Multi-Parametric Families of Real and Non Singular Solutions of the Kadomtsev-Petviasvili I Equation

pierre gaillard

Universal Journal of Mathematics and Applications

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Virasoro constraints for Kontsevich-Hurwitz partition function

A. Mironov

Journal of High Energy Physics, 2009

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Constrained KP Hierarchies: Additional Symmetries, Darboux–Bäcklund Solutions and Relations to Multi-Matrix Models

Svetlana Pacheva

International Journal of Modern Physics A, 1997

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Combinatorics of KP Solitons from the Real Grassmannian

Yuji Kodama

Abel Symposia, 2013

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An elementary approach to the polynomial τ-functions of the KP hierarchy

jorge zubelli

Theoretical and Mathematical …, 2000

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Tropical combinatorics and Whittaker functions

Nikolaos Zygouras, Timo Seppalainen

Duke Mathematical Journal, 2014

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A relationship between two graphical models of the Kauffman polynomial

Xianan Jin

2012

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A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application

F. Alberto GRUNBAUM

Symmetry, Integrability and Geometry: Methods and Applications, 2011

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Constrained KP Hierarchies: Darboux-B "acklund Solutions and Additional Symmetries

Svetlana Pacheva

1995

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Zeros of the partition function for the triangular lattice three-state Potts model

J-m Maillard

1986

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A Relationship Between Rational and Multi-Soliton Solutions of the BKP Hierarchy

Alexander Orlov

Glasgow Mathematical Journal, 2005

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Generalized Stirling Numbers, Exponential Riordan Arrays, and Toda Chain Equations

Paul Barry

J. Integer Seq., 2014

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On the complex structure of positive solutions to Matukuma-type equations

Alexander Quaas, Moxun Tang

Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 2009

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Multivariate generating functions built from Chebyshev polynomials and some of their applications and generalizations

Paweł J Szabłowski

Colloquium Mathematicum, 2022

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Gon\v{c}arov Polynomials in Partition Lattices and Exponential Families

Ayomikun Adeniran

arXiv (Cornell University), 2019

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Pfaffian form of the Grammian determinant solutions of the BKP hierarchy

Manuel Mañas Baena

1998

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Multivariate generating functions built of Chebyshev polynomials and some of its applications and generalizations

Paweł J Szabłowski

2021

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The partition function of the four-vertex model in inhomogeneous external field and trace statistics

Nikolay Bogoliubov

Journal of Physics A: Mathematical and Theoretical, 2019

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Canonical and microcanonical partition functions in long-range systems with order parameter space of arbitrary dimension

Andrea Giansanti

Physica A-statistical Mechanics and Its Applications, 2004

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Generalized Kontsevich model versus Toda hierarchy and discrete matrix models

A. Mironov

Nuclear Physics B, 1993

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Lump solutions to the BKP equation by symbolic computation

Wen-Xiu Ma

International Journal of Modern Physics B, 2016

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A combinatorial interpretation of the inverse t-Kostka matrix

Joaquin Carbonara

Discrete Mathematics, 1998

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Quantized representation for Kadomtsev-Petviashvili equation on thesoliton sector

Yair Zarmi

Journal of Mathematical Physics

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Pfaffian form of Grammian determinant solutions of the BKP hierarchy

Manuel Manas

Chinese Annals of Mathematics

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Elliptic (N, N′)-soliton solutions of the lattice Kadomtsev-Petviashvili equation

Frank Nijhoff

Journal of Mathematical Physics, 2013

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The Constraint of the Kadomtsev-Petviashvili Equation and Its Special Solutions

YI CHENG

Physics Letters A, 1991

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The Canonical Solutions of the Q-Systems¶ and the Kirillov–Reshetikhin Conjecture

gab vl

Communications in Mathematical Physics, 2002

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Method of Squared Eigenfunction Potentials in Integrable Hierarchies of KP Type

Svetlana Pacheva

Communications in Mathematical Physics, 1998

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From particular polynomials to rational solutions to the KPI equation

pierre gaillard

HAL (Le Centre pour la Communication Scientifique Directe), 2022

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