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pro vyhledávání: '"Desiraju, Harini"'
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 Zamolodchikov conjecture for Liouville conformal blocks on a one-punctured
Externí odkaz:
http://arxiv.org/abs/2407.05839
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 methods presented in this paper pave the way to a rigorous analysis of oth
Externí odkaz:
http://arxiv.org/abs/2405.17662
Autor:
Desiraju, Harini
This note details the relationship between the isomonodromic tau-function and conformal blocks, on a torus with one simple pole. It is based on the author's talk at ICMP 2021.
Externí odkaz:
http://arxiv.org/abs/2305.04240
Building upon the recent works of Bertola; Fasondini, Olver and Xu, we define a class of orthogonal polynomials on elliptic curves and establish a corresponding Riemann-Hilbert framework. We then focus on the special case, defined by a constant weigh
Externí odkaz:
http://arxiv.org/abs/2305.04404
We compute the monodromy dependence of the isomonodromic tau function on a torus with $n$ Fuchsian singularities and $SL(N)$ residue matrices by using its explicit Fredholm determinant representation. We show that the exterior logarithmic derivative
Externí odkaz:
http://arxiv.org/abs/2211.01139
We prove that the isomonodromic tau function on a torus with Fuchsian singularities and generic monodromies in $GL(N,\mathbb{C})$ can be written in terms of a Fredholm determinant of Cauchy-Plemelj operators. We further show that the minor expansion
Externí odkaz:
http://arxiv.org/abs/2011.06292
Autor:
Desiraju, Harini
We formulate the generic $\tau$-function of the Painlev\'e II equation as a Fredholm determinant of an integrable (Its-Izergin-Korepin-Slavnov) operator. The $\tau$-function depends on the isomonodromic time $t$ and two Stokes' parameters, and the va
Externí odkaz:
http://arxiv.org/abs/2008.01142
Autor:
Desiraju, Harini
$\tau$-functions of certain Painlev\'e equations (PVI,PV,PIII) can be expressed as a Fredholm determinant. Further, the minor expansion of these determinants provide an interesting connection to Random partitions. This paper is a step towards underst
Externí odkaz:
http://arxiv.org/abs/1906.11517
Akademický článek
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Autor:
Dass, N. D. Hari, Desiraju, Harini
Based on an examination of the solutions to the Killing Vector equations for the FLRW-metric in co moving coordinates , it is conjectured and proved that the components(in these coordinates) of Killing Vectors, when suitably scaled by functions, are
Externí odkaz:
http://arxiv.org/abs/1511.07142