Global ETD Search

Random walk on uniform spanning tree and loop-erased random walk

Satomi, WatanabeKyoto University2024

kyoto Repository record for Random walk on uniform spanning tree and loop-erased random walk (opens in a new tab)

Conformally invariant scaling limits of random curves and correlations

Karrila, AlexAalto University2019

This thesis studies scaling limits of critical random models on planar graphs, when a fine-mesh graph approximates a planar domain. Such studies are motivated by quantum field theoretic predictions that suggest the emergence of intricate, conformally invariant structures from simple combinatorial …

aalto Repository record for Conformally invariant scaling limits of random curves and correlations (opens in a new tab)

Fine regularity properties of SLE_4 and SLE_8

Kavvadias, KonstantinosUniversity of Cambridge2022

… two-dimensional lattices at criticality, such as loop erased random walk and the percolation model. It has also been the subject of intensive study as it has deep connections to the Gaussian free field (GFF) and Liouville quantum gravity (LQG). The first part of the thesis treats the values …

cambridge Repository record for Fine regularity properties of SLE_4 and SLE_8 (opens in a new tab)