1 citations · 1 across the 2 of their papers we have counts for
4 papers
Proof of Zamolodchikov conjecture for semi-classical conformal blocks on the torus
Harini Desiraju, Promit Ghosal, Andrei Prokhorov
In 1986, Zamolodchikov conjectured an exponential structure for the semi-classical limit of conformal blocks on a sphere. This paper provides a rigorous proof of the analog of Zamo…
Nonlinear steepest descent on a torus: A case study of the Landau-Lifshitz equation
Harini Desiraju, Alexander R. Its, Andrei Prokhorov
We obtain rigorous large time asymptotics for the Landau-Lifshitz equation in the soliton free case by extending the nonlinear steepest descent method to genus 1 surfaces. The meth…
On some Hamiltonian properties of the isomonodromic tau functions
A. R. Its, A. Prokhorov
We discuss some new aspects of the theory of the Jimbo-Miwa-Ueno tau function which have come to light within the recent developments in the global asymptotic analysis of the tau f…
Monodromy dependence and connection formulae for isomonodromic tau functions
A. Its, O. Lisovyy, A. Prokhorov
We discuss an extension of the Jimbo-Miwa-Ueno differential 1-form to a form closed on the full space of extended monodromy data of systems of linear ordinary differential equation…