Add to ORKGThe Yang-Baxter equation states equality of certain local partition functions of a vertex model. If the terms of the Yang-Baxter equation are nonnegative, we can turn it into a a Markov map, which randomly maps objects from one side of the identity into objects on the other side. This idea brings a number of nice applications to lozenge tilings and interacting particle systems.Non UBCUnreviewedAuthor affiliation: University of VirginiaResearche
It is shown that for a certain class of Yang-Baxter maps (or set-theoretical solutions to the quantu...
ABSTRACT The quantum Yang-Baxter equation first appeared in theoretical physics and statistical mec...
International audienceWe study the partition function of the six-vertex model in the rational limit ...
The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C. ...
The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function int...
The study of the integrability properties of the N=2 Landau- Ginzburg models leads naturally to a gr...
Introduction. The Yang-Baxter equation first appeared in theoretical physics. Afterwards, it proved ...
Functional equations methods are a fundamental part of the theory of Exactly Solvable Models in Stat...
We construct rational and piecewise-linear Yang-Baxter maps for a general N-reduction of the discret...
In this paper we give a differential formulation of the Yang-Baxter equations. This formulation lead...
This thesis relates Young tableaux and marked shifted tableaux with non-intersecting lattice paths. ...
We propose a general way of constructing set-theoretical solutions of the Yang-Baxter equation. We s...
We describe a parametrized Yang-Baxter equation with nonabelian parameter group. That is, we show th...
Abstract. In this work, we propose and investigate dynamical Yang-Baxter maps, some of which produce...
Abstract. Factorial Schur functions are generalizations of Schur functions that have, in addition to...
It is shown that for a certain class of Yang-Baxter maps (or set-theoretical solutions to the quantu...
ABSTRACT The quantum Yang-Baxter equation first appeared in theoretical physics and statistical mec...
International audienceWe study the partition function of the six-vertex model in the rational limit ...
The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C. ...
The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function int...
The study of the integrability properties of the N=2 Landau- Ginzburg models leads naturally to a gr...
Introduction. The Yang-Baxter equation first appeared in theoretical physics. Afterwards, it proved ...
Functional equations methods are a fundamental part of the theory of Exactly Solvable Models in Stat...
We construct rational and piecewise-linear Yang-Baxter maps for a general N-reduction of the discret...
In this paper we give a differential formulation of the Yang-Baxter equations. This formulation lead...
This thesis relates Young tableaux and marked shifted tableaux with non-intersecting lattice paths. ...
We propose a general way of constructing set-theoretical solutions of the Yang-Baxter equation. We s...
We describe a parametrized Yang-Baxter equation with nonabelian parameter group. That is, we show th...
Abstract. In this work, we propose and investigate dynamical Yang-Baxter maps, some of which produce...
Abstract. Factorial Schur functions are generalizations of Schur functions that have, in addition to...
It is shown that for a certain class of Yang-Baxter maps (or set-theoretical solutions to the quantu...
ABSTRACT The quantum Yang-Baxter equation first appeared in theoretical physics and statistical mec...
International audienceWe study the partition function of the six-vertex model in the rational limit ...