# Probability and Stochastic Processes Seminar

Speaker:

Hugo Panzo

Affiliation:

Viterbi Faculty of Electrical Engineering, Technion

## Spectral upper bound for the torsion function of symmetric stable processes

We use H. Vogt's (2019) upper bound on the product of the principal eigenvalue and $L^\infty$ norm of the torsion function for Brownian motion killed upon exiting a domain in $\mathbb{R}^d$ to derive an analogous bound for the symmetric stable processes. In particular, the bound captures the correct order of growth in the dimension $d$, improving upon the existing result of Giorgi and Smits (2010).

Date: Tue 03 Dec 2019

Start Time: 11:30

End Time: 12:30

861 | Electrical Eng. Building