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Symmetries, Integrable Systems and Representations
Springer Proceedings in Mathematics & Statistics, Vol. 40 -
Multi-mode solitons in the classical Dicke-Jaynes-Cummings-Gaudin Model.
We present a detailed analysis of the classical Dicke-Jaynes-Cummings-Gaudin integrable model, which describes a system of $n$ spins coupled to a single harmonic... -
Symplectic topology, mirror symmetry and integrable systems.
Using Sympelctic Field Theory as a computational tool, we compute Gromov-Witten theory of target curves using gluing formulas and quantum integrable systems. In the... -
First steps in symplectic and spectral theory of integrable systems
International audience -
Integrable systems and AdS/CFT duality
This thesis is devoted to the study of integrable quantum systems such as spin chains, two-dimensional field theories and the AdS/CFT duality. This AdS/CFT duality is... -
Dynamics of periodic Toda chains with a large number of particles
International audience -
Semi-toric integrable systems and moment polytopes
Semi-toric integrable systems are integrable systems whose every component of the moment map are periodic of the same period. They are symplectic manifolds endowed... -
Zero curvature representation of non-commutative and quantum Painlevé II equa...
In this paper, I derive a zero curvature representation of quantum Painlevé II equation and its Riccati form which can be reduced to the classical Painlevé II when... -
Quasideterminant solutions of NC Painlevé II equation with the Toda solution ...
In this paper, I construct the Darboux transformations for the non-commutative Toda solutions at n = 1 with the help of linear systems whose compatibility condition...
