147 citations · 935 across the 73 of their papers we have counts for
80 papers
Integrable operators, -Problems, KP and NLS hierarchy
Marco Bertola, Tamara Grava, Giuseppe Orsatti
We develop the theory of integrable operators acting on a domain of the complex plane with smooth boundary in analogy with the theory of integrable operators acting o…
Hamiltonian structure of rational isomonodromic deformation systems
M. Bertola, J. Harnad, J. Hurtubise
The Hamiltonian approach to isomonodromic deformation systems is extended to include generic rational covariant derivative operators on the Riemann sphere with irregular singularit…
Generating function of monodromy symplectomorphism for Fuchsian systems and its WKB expansion
Marco Bertola, Fabrizio Del Monte, Dmitry Korotkin
We study the WKB expansion of system of linear differential equations with four fuchsian singularities. The main focus is on the generating function of the monodromy sy…
Singular limits of certain Hilbert-Schmidt integral operators
M. Bertola, E. Blackstone, A. Katsevich +1
In this paper we study the small- spectral asymptotics of an integral operator defined on two multi-intervals and , when the multi-intervals touch each othe…
Critical measures on higher genus Riemann surfaces
Marco Bertola, Alan Groot, Arno B. J. Kuijlaars
Critical measures in the complex plane are saddle points for the logarithmic energy with external field. Their local and global structure was described by Martinez-Finkelshtein and…
The Stieltjes--Fekete problem and degenerate orthogonal polynomials
Marco Bertola, Eduardo Chavez-Heredia, Tamara Grava
A famous result of Stieltjes relates the zeroes of the classical orthogonal polynomials with the configurations of points on the line that minimize a suitable energy. The energy ha…