| Publication | Date of Publication | Type |
|---|
| Generalized cluster structures on $\mathrm{SL}_n^\dagger$ | 2023-12-08 | Paper |
| Asymptotic Sign Coherence Conjecture | 2022-08-03 | Paper |
| On bounded ratios of minors of totally positive matrices | 2022-04-25 | Paper |
| Hamiltonian and Lagrangian formalisms of mutations in cluster algebras and application to dilogarithm identities | 2018-09-27 | Paper |
| Generalized cluster structure on the Drinfeld double of \(\mathrm{GL}_n\) | 2018-02-07 | Paper |
| Cremmer–Gervais cluster structure on SL n | 2017-02-16 | Paper |
| Inverse moment problem for non-Abelian Coxeter double Bruhat cells | 2016-12-16 | Paper |
| Integrable cluster dynamics of directed networks and pentagram maps | 2016-08-23 | Paper |
| Cauchy-Laguerre two-matrix model and the Meijer-\(G\) random point field | 2014-03-17 | Paper |
| Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two-matrix model | 2014-02-24 | Paper |
| Cluster structures on simple complex Lie groups and the Belavin-Drinfeld classification | 2013-01-17 | Paper |
| Matrix Weyl Functions and Non-Abelian Coxeter-Toda Lattices | 2012-09-03 | Paper |
| Higher pentagram maps, weighted directed networks, and cluster dynamics | 2012-05-16 | Paper |
| Poisson geometry of directed networks in an annulus | 2012-04-12 | Paper |
| Generalized Bäcklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective | 2011-10-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3060326 | 2010-12-02 | Paper |
| The Cauchy two-matrix model | 2010-09-22 | Paper |
| Cauchy biorthogonal polynomials | 2010-05-11 | Paper |
| Poisson geometry of directed networks in a disk | 2010-03-12 | Paper |
| Completeness of determinantal Hamiltonian flows on the matrix affine Poisson space | 2010-01-18 | Paper |
| Cubic string boundary value problems and Cauchy biorthogonal polynomials | 2009-11-24 | Paper |
| Spin Calogero particles and bispectral solutions of the matrix KP hierarchy | 2009-07-10 | Paper |
| The family of analytic Poisson brackets for the Camassa-Holm hierarchy | 2009-02-10 | Paper |
| Multi‐Hamiltonian structure for the finite defocusing Ablowitz‐Ladik equation | 2009-01-13 | Paper |
| On the properties of the exchange graph of a cluster algebra. | 2008-08-12 | Paper |
| Effective Inverse Spectral Problem for Rational Lax Matrices and Applications | 2008-01-30 | Paper |
| Biorthogonal Laurent polynomials, toplitz determinants, minimal Toda orbits and isomonodromic tau functions | 2007-11-28 | Paper |
| Peakons and Cauchy Biorthogonal Polynomials | 2007-11-26 | Paper |
| Correction to ``Cluster algebras and Weil-Petersson forms [ibid. 127, No.\,2, 291--311 (2005; Zbl 1079.53124)] | 2007-09-12 | Paper |
| Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices | 2007-08-07 | Paper |
| Lie algebraic aspects of the finite nonperiodic Toda flows | 2007-04-13 | Paper |
| Tau-functions, Grassmannians and rank one conditions | 2007-04-13 | Paper |
| Compressions of Totally Positive Matrices | 2006-05-31 | Paper |
| On KP generators and the geometry of the HBDE | 2006-01-10 | Paper |
| Cluster algebras and Weil-Petersson forms | 2005-06-09 | Paper |
| Jordan Structures of Totally Nonnegative Matrices | 2005-05-03 | Paper |
| Calculation of Universal Barrier Functions for Cones Generated by Chebyshev Systems Over Finite Sets | 2005-02-23 | Paper |
| Qualitative behavior of non-Abelian Toda-like flows | 2005-01-31 | Paper |
| The linear interpolation problem for totally positive matrices | 2005-01-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4817689 | 2004-09-15 | Paper |
| Multiplicative principal-minor inequalities for totally nonnegative matrices | 2003-09-15 | Paper |
| The number of connected components in double Bruhat cells for nonsimply-laced groups | 2002-11-19 | Paper |
| Solitons and almost-intertwining matrices | 2002-02-26 | Paper |
| Inverse moment problem for elementary co-adjoint orbits | 2002-01-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2743956 | 2001-09-18 | Paper |
| Elementary Toda orbits and integrable lattices | 2001-08-30 | Paper |
| Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions | 2001-06-18 | Paper |
| Hamiltonian structure of non-Abelian Toda lattice | 2001-04-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4517590 | 2001-04-16 | Paper |
| Spectral Structures of Irreducible Totally Nonnegative Matrices | 2001-03-19 | Paper |
| On Schur flows | 2000-04-25 | Paper |
| Hamiltonian and gradient structures in the Toda flows | 2000-02-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4257241 | 1999-11-16 | Paper |
| Completeness of real Toda flows and totally positive matrices | 1997-12-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4332797 | 1997-02-13 | Paper |
| On invertibility of nonsquare generalized Bezoutians | 1995-12-13 | Paper |
| Separation of variables in the classical \(\mathrm{SL}(N)\) magnetic chain | 1995-06-22 | Paper |
| NonAbelian nonlinear lattice equations on finite interval | 1995-01-24 | Paper |
| On the orthogonal polynomials in several variables | 1995-01-23 | Paper |
| Spectral theory of orthogonal polynomials of several variables | 1992-06-27 | Paper |
| Solution of infinite Toda chains | 1992-06-26 | Paper |
| Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations | 1992-06-25 | Paper |
| Spectral theory of orthogonal polynomials of several variables | 1991-01-01 | Paper |
| Integration of non-abelian Toda-type chains | 1990-01-01 | Paper |
| Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3719291 | 1984-01-01 | Paper |
