From the 1 of 6 linked papers with an AI index.
6 papers
A Tau function for -Painlevé VI as a Fredholm determinant
Harini Desiraju, Pieter Roffelsen
We give an analytic construction of a tau function for the -difference sixth Painlevé equation (PVI) as a Fredholm determinant through the general Riemann-Hilbert problem ass…
Proof of Zamolodchikov conjecture for semi-classical conformal blocks on the torus
Harini Desiraju, Promit Ghosal, Andrei Prokhorov
The paper rigorously proves a conjectured exponential form for the semi‑classical limit of Liouville conformal blocks on a one‑punctured torus, establishing convergence and linking…
Irregular SLE(4) martingales and isomonodromic deformations
Harini Desiraju, Aleksandra Korzhenkova, Eveliina Peltola
We consider non-Fuchsian monodromy preserving deformations on a Riemann sphere. The associated isomonodromic deformation parameters on this surface comprise the positions of the si…
Modular transformations of tau functions and conformal blocks on the torus
Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko
The connection problem for isomonodromic tau functions on the one-punctured torus concerns the ratio between the tau function and its modular transform, associated to dual pants de…
Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials
Harini Desiraju, Sampad Lahiry
In recent years, there has been significant progress in the theory of orthogonal polynomials on algebraic curves, particularly on genus 1 surfaces. In this paper, we focus on ellip…
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…