[SeminarioDeProbabilidad] Seminario de Probabilidad y Procesos Estocásticos SESIÓN EXTRAORDINARIA. Viernes 19 de mayo de 2023.

[María Clara Fittipaldi]

*FECHA Y HORARIO **EXTRAORDINARIOS*: Viernes 19 de mayo de 2023 a las 12h15.

*LUGAR **EXTRAORDINARIO*: Salón 204 del Edificio Anexo IIMAS .

*Expositora:* Patricia Alonso Ruiz.
Department of Mathematics,Texas A&M University .

*Título*: "Could Brownian motion describe perimeter in a fractal? ".

*Abstract*: Brownian motion speaks analysis and geometry in a beautiful
connection with bounded variation (BV) measures and the perimeter of sets.
In this talk we will review that relation in the Euclidean setting through
the work of Cacciopoli, de Giorgi and Ledoux, and from there move to more
general metric measure spaces. Moving beyond the Euclidean setting we will
discuss recent developments in the context of fractals, and in particular
an oscillatory phenomenon that occurs when the underlying space is an
unbounded planar nested fractal. Based on joint work with Fabrice Baudoin.
.

Organizan
Laura Eslava
María Clara Fittipaldi
Saraí Hernández-Torres.
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