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Noncommutative and commutative integrability of generic Toda flows in simple Lie algebras

Communications on pure and applied mathematics, 1999-01, Vol.52 (1), p.53-84

1999

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The family of analytic Poisson brackets for the Camassa–Holm hierarchy

Mathematical research letters, 2008, Vol.15 (5), p.867-879

2008

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Completeness of real Toda flows and totally positive matrices

Mathematische Zeitschrift, 1997-09, Vol.226 (1), p.51-66

1997

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First International Tainan-Moscow Algebra Workshop: Proceedings of the International Conference held at National Cheng Kung University Tainan, Taiwan, Republic of China, July 23-August 22, 1994

Reprint 2016 edition., 2016

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Integration of non-Abelian Toda-type chains

Functional analysis and its applications, 1990-07, Vol.24 (3), p.231-233

Gekhtman, M. I.

1990

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Solution of infinite Toda chains

Functional analysis and its applications, 1991-07, Vol.25 (3), p.230-232

Gekhtman, M. I.

1991

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On the orthogonal polynomials in several variables

Integral equations and operator theory, 1994-12, Vol.19 (4), p.404-418

1994

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NonAbelian nonlinear lattice equations on finite interval

Journal of physics. A, Mathematical and general, 1993-11, Vol.26 (22), p.6303-6317

Gekhtman, M I

1993

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Separation of variables in the classicalSL(N) magnetic chain

Communications in mathematical physics, 1995-02, Vol.167 (3), p.593-605

Gekhtman, M. I.

1995

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Compressions of Totally Positive Matrices

SIAM journal on matrix analysis and applications, 2006-01, Vol.28 (1), p.68-80

2006

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Orbits of the coadjoint representation and Yang-Baxter equation

First International Tainan-Moscow Algebra Workshop, 2016, p.207-224

Originally published 1996, 2016

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Non-Abelian nonlinear lattice equations on finite interval

Journal of physics. A, Mathematical and general, 1993-11, Vol.26 (22), p.6303-6317

GEKHTMAN, M. I

1993

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Jordan Structures of Totally Nonnegative Matrices

Canadian journal of mathematics, 2005-02, Vol.57 (1), p.82-98

2005

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On invertibility of nonsquare generalized bezoutians

Linear algebra and its applications, 1995, Vol.223, p.205-241

1995

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Separation of variables in the classical {\rm SL}(N) magnetic chain

Communications in mathematical physics, 1995, Vol.167 (no. 3), p.593-605

Gekhtman, M. I

1995

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Multiplicative principal-minor inequalities for totally nonnegative matrices

Advances in applied mathematics, 2003-04, Vol.30 (3), p.442-470

2003

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Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions

Linear algebra and its applications, 2000-03, Vol.308 (1), p.1-29

2000

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Spectral Structures of Irreducible Totally Nonnegative Matrices

SIAM journal on matrix analysis and applications, 2000-01, Vol.22 (2), p.627-645

2000

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Hamiltonian and gradient structures in the Toda flows

Journal of geometry and physics, 1998-09, Vol.27 (3), p.230-248

1998

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Spectral theory of orthogonal polynomials of several variables

Ukrainian mathematical journal, 1991-10, Vol.43 (10), p.1334-1337

1991

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Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations

Ukrainian mathematical journal, 1990-06, Vol.42 (6), p.645-658

1990

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Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem

Ukrainian mathematical journal, 1986, Vol.38 (1), p.74-78

1986

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Orbits of the coadjoint representation and Yang-Baxter equation

1st International Tainan-Moscow Algebra Workshop, 1996, p.207

1996

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Urgent tasks of medical specialists

Zdravookhranenie, 1962-11, Vol.5, p.10

1962

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Cauchy–Laguerre Two-Matrix Model and the Meijer-G Random Point Field

Communications in mathematical physics, 2014-02, Vol.326 (1), p.111-144

2014

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Noncommutative and commutative integrability of generic Toda flows in simple Lie algebras

The family of analytic Poisson brackets for the Camassa–Holm hierarchy

Completeness of real Toda flows and totally positive matrices

First International Tainan-Moscow Algebra Workshop: Proceedings of the International Conference held at National Cheng Kung University Tainan, Taiwan, Republic of China, July 23-August 22, 1994

Integration of non-Abelian Toda-type chains

Solution of infinite Toda chains

On the orthogonal polynomials in several variables

NonAbelian nonlinear lattice equations on finite interval

Separation of variables in the classicalSL(N) magnetic chain

Compressions of Totally Positive Matrices

Orbits of the coadjoint representation and Yang-Baxter equation

Non-Abelian nonlinear lattice equations on finite interval

Jordan Structures of Totally Nonnegative Matrices

On invertibility of nonsquare generalized bezoutians

Separation of variables in the classical {\rm SL}(N) magnetic chain

Multiplicative principal-minor inequalities for totally nonnegative matrices

Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions

Spectral Structures of Irreducible Totally Nonnegative Matrices

Hamiltonian and gradient structures in the Toda flows

Spectral theory of orthogonal polynomials of several variables

Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations

Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem

Orbits of the coadjoint representation and Yang-Baxter equation

Urgent tasks of medical specialists

Cauchy–Laguerre Two-Matrix Model and the Meijer-G Random Point Field

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