Conformal Dimension of the Brownian Graph and Self-Affine Sets

Explore the conformal dimension of Brownian graphs and self-affine sets in this 49-minute conference talk delivered by Hrant Hakobyan from Kansas State University at the Fields Institute. Delve into advanced mathematical concepts connecting geometric measure theory, fractal geometry, and stochastic processes as part of the Fields-CNAM Nonlinear Days 2025 conference focusing on dynamical, geometric, and random structures and processes. Examine the intricate relationships between conformal mappings, dimensional analysis, and the geometric properties of random mathematical objects, gaining insights into how these theoretical frameworks apply to understanding complex mathematical structures that arise in both deterministic and probabilistic contexts.