83 citations · 119 across the 8 of their papers we have counts for
10 papers
Spectral transitions in some Rabi models
Grzegorz Świderski, Lech Zieliński
We consider the transition from discrete to continuous spectrum which occurs in some quantum Rabi models. We present recent developments of the subordinacy theory and their applica…
The periodic Camassa-Holm equation by the Riemann-Hilbert problem approach
Anne Boutet de Monvel, Iryna Karpenko, Dmitry Shepelsky +1
This work addresses the development of the Riemann-Hilbert problem (RHP) formalism (the Fokas method) for the Camassa-Holm equation under periodic boundary conditions. Particularly…
Oscillatory behavior of large eigenvalues in quantum Rabi models
Anne Boutet de Monvel, Lech Zielinski
We investigate the large asymptotics of the -th eigenvalue for a class of unbounded self-adjoint operators defined by infinite Jacobi matrices with discrete spectrum. In the…
The short pulse equation by a Riemann-Hilbert approach
Anne Boutet de Monvel, Dmitry Shepelsky, Lech Zielinski
We develop a Riemann-Hilbert approach to the inverse scattering transform method for the short pulse (SP) equation with zero boundary conditions (a…
A Riemann-Hilbert Approach for the Novikov Equation
Anne Boutet de Monvel, Dmitry Shepelsky, Lech Zielinski
We develop the inverse scattering transform method for the Novikov equation considered on the line in the case…
Seiberg-Witten theory as a Fermi gas
Giulio Bonelli, Alba Grassi, Alessandro Tanzini
We explore a new connection between Seiberg-Witten theory and quantum statistical systems by relating the dual partition function of SU(2) Super Yang-Mills theory in a self-dual Om…