109 citations · 1.2k across the 57 of their papers we have counts for
7 papers · 1 filter
Large-N asymptotic expansion for mean field models with Coulomb gas interaction
Gaëtan Borot, Alice Guionnet, Karol K. Kozlowski
We derive the large-N, all order asymptotic expansion for a system of N particles with mean-field interactions on top of a Coulomb repulsion at temperature 1/β, under the assumptio…
Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
Maxime Dugave, Frank Göhmann, Karol K. Kozlowski
We establish several properties of the solutions to the linear integral equations describing the infinite volume properties of the XXZ spin-1/2 chain in the disordered regime. In p…
On lacunary Toeplitz determinants
K. K. Kozlowski
By using Riemann--Hilbert problem based techniques, we obtain the asymptotic expansion of lacunary Toeplitz determinants generated by holomorh…
Aspects of the inverse problem for the Toda chain
K. K. Kozlowski
We generalize Babelon's approach to equations in dual variables so as to be able to treat new types of operators which we build out of the sub-constituents of the model's monodromy…
Thermal form factors of the XXZ chain and the large-distance asymptotics of its temperature dependent correlation functions
Maxime Dugave, Frank Göhmann, Karol K. Kozlowski
We derive expressions for the form factors of the quantum transfer matrix of the spin-1/2 XXZ chain which are suitable for taking the infinite Trotter number limit. These form fact…
Unitarity of the SoV transform for the Toda chain
K. K. Kozlowski
The quantum separation of variables method consists in mapping the original Hilbert space where a spectral problem is formulated onto one where the spectral problem takes a simpler…
On determinants of integrable operators with shifts
A. R. Its, K. K. Kozlowski
Integrable integral operator can be studied by means of a matrix Riemann--Hilbert problem. However, in the case of so-called integrable operators with shifts, the associated Rieman…