Brownian motion on minimal surfaces

Lehigh University

We introduce Brownian motion on minimal surfaces, including its relationship to the conformal structure of the surface and the ambient geometry of $\mathbb{R}^3$. We then discuss applications to weak halfspace theorems and to showing parabolicity and quadratic area growth for ends of minimal surfaces constrained to lie in various regions.

Próximas conferencias

 

This activity is supported by the research projects EUR2024.153556, PID2023-150727NB-I00, PID2022-142559NB-I00, CNS2022-135390 CONSOLIDACION2022, PID2020-118137GB-I00, PID2020-117868GB-I00, PID2020-116126GB-I00.