Stochastic Loewner Evolutions, Fuchsian Systems and Orthogonal Polynomials

Abstract

We find a wide class of Levy-Loewner evolutions for which the value of integral means beta-spectrum $\beta (q)$ at $q=2$ 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.

J. Phys. A: Math. Theor (2019)

References in corpus (4)

• Stochastic geometry of critical curves, Schramm-Loewner evolutions, and conformal field theory
• Stochastic Loewner evolution driven by Levy processes
• Global properties of Stochastic Loewner evolution driven by Levy processes
• Integral means spectrum of whole-plane SLE