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papers

Publications (30)

Fermionic representation for basic hypergeometric functions related to Schur polynomials

A. Yu. Orlov, D. M. Scherbin

Multiple sums and integrals as neutral BKP tau functions

J. Harnad, J. W. van de Leur, A. Yu. Orlov

Hypergeometric Ï-functions, Hurwitz numbers and enumeration of paths

J. Harnad, A. Yu. Orlov

Determinantal identity for multilevel systems and finite determinantal processes

J. Harnad, A. Yu. Orlov

Multivariate hypergeometric functions as tau functions of Toda lattice and Kadomtsev-Petviashvili equation

A. Yu. Orlov, D. M. Scherbin

cond-mat.dis-nn2007

Random turn walk on a half line with creation of particles at the origin

J. W. van de Leur, A. Yu. Orlov

Hypergeometric functions related to Schur Q-polynomials and BKP equation

A. Yu. Orlov

Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions

J. Harnad, A. Yu. Orlov

A relationship between rational and multi-soliton solutions of the BKP hierarchy

J. J. C. Nimmo, A. Yu. Orlov

Integrals of rational symmetric functions, two matrix models and biorthogonal polynomials

J. Harnad, A. Yu. Orlov

Loop Algebra Symmetries and Commuting Flows for the Kadomtsev-Petviashvili Hierarchy

A. Yu. Orlov, P. Winternitz

New Solvable Matrix Integrals

A. Yu. Orlov

Matrix integrals and Hurwitz numbers

A. Yu. Orlov

Scalar products of symmetric functions and matrix integrals

J. Harnad, A. Yu. Orlov

Links between quantum chaos and counting problems

A. Yu. Orlov

Pfaffian structures and certain solutions to BKP hierarchies I. Sums over partitions

A. Yu. Orlov, T. Shiota, K. Takasaki

Trigonometric Calogero-Moser System as a Symmetry Reduction of KP Hierarchy

L. V. Bogdanov, B. G. Konopelchenko, A. Yu. Orlov

Character expansion of matrix integrals

J. W. van de Leur, A. Yu. Orlov

Dispersionful analogues of Benney's equations and $N$-wave systems

B. Enriquez, A. Yu. Orlov, V. N. Rubtsov

Hurwitz numbers and matrix integrals labeled with chord diagrams

A. Yu. Orlov

Matrix Integrals, Symmetric Functions theory and matrix integrals

A. Yu. Orlov

Pfaffian and determinantal tau functions I

J. W. van de Leur, A. Yu. Orlov

Hurwitz numbers and BKP hierarchy

S. M. Natanzon, A. Yu. Orlov

Tau Functions and Matrix Integrals

A. Yu. Orlov

Schur function expansion for normal matrix model and associated discrete matrix models

A. Yu. Orlov, T. Shiota

Flag Spaces in KP Theory and Virasoro Action on \det D_j and Segal-Wilson Ï-Function

P. G. Grinevich, A. Yu. Orlov

Hypergeometric tau functions $Ï({\bf t},T,{\bf t}^*)$ as $\infty$-soliton tau function in T variables

A. Yu. Orlov

$P_\infty$ algebra of KP, free fermions and 2-cocycle in the Lie algebra of pseudodifferential operators

A. Yu. Orlov, P. Winternitz

Symmetries of the Kadomstev-Petviashvili Hierarchy

A. Yu. Orlov, P. Winternitz

Instantons in $Ï$ model and tau functions

A. N. Antonov, A. Yu. Orlov