Stochastic Loewner Evolutions, Fuchsian Systems and Orthogonal Polynomials
Mathematical Physics
2019-09-09 v1 Statistical Mechanics
Classical Analysis and ODEs
Complex Variables
math.MP
Probability
Abstract
We find a wide class of Levy-Loewner evolutions for which the value of integral means beta-spectrum at is the maximal real eigenvalue of a three-diagonal matrix. The second moments of derivatives of corresponding conformal mappings are expressed through solutions of matrix Fuchsian systems with three singular points.
Keywords
Cite
@article{arxiv.1904.01472,
title = {Stochastic Loewner Evolutions, Fuchsian Systems and Orthogonal Polynomials},
author = {Igor Loutsenko and Oksana Yermolayeva},
journal= {arXiv preprint arXiv:1904.01472},
year = {2019}
}
Comments
J. Phys. A: Math. Theor (2019)