5 papers
Finite Markov chains and Monte-Carlo Methods: An Undergraduate Introduction
Soumik Pal, Tim Mesikepp
This is a free textbook suitable for a one-semester course on Markov chains, covering basics of finite-state chains, many classical models, asymptotic behavior and mixing times, Mo…
On Loewner energy and curve composition
Tim Mesikepp, Yaosong Yang
The composition of Jordan curves and in universal Teichmüller space is defined through the composition of their conformal weldings. We show that w…
Quasisymmetric geometry of low-dimensional random spaces
Gefei Cai, Wen-Bo Li, Tim Mesikepp
We initiate a study of the quasisymmetric uniformization of naturally arising random fractals and show that many of them fall outside the realm of quasisymmetric uniformization to…
Drivers, hitting times, and weldings in Loewner's equation
Vlad Margarint, Tim Mesikepp
In addition to conformal weldings , simple curves growing in the upper half plane generate driving functions and hitting times through Loewner's differential equatio…
A deterministic approach to Loewner-energy minimizers
Tim Mesikepp
We study two minimization questions: the nature of curves which minimize the Loewner energy among all curves from 0 to a fixed , and the n…