Variational formulae for the capacity induced by second-order elliptic differential operators
C. Landim
TL;DR
This paper reviews recent advances in potential theory related to second-order elliptic operators and explores the metastable behavior of associated Markov processes, providing insights into their capacity and long-term dynamics.
Contribution
It synthesizes recent developments in potential theory and metastability for second-order elliptic operators, highlighting new variational formulae and analytical techniques.
Findings
New variational formulae for capacity related to elliptic operators
Insights into metastable behavior of Markov processes
Connections between potential theory and stochastic dynamics
Abstract
We review recent progress in potential theory of second-order elliptic operators and on the metastable behavior of Markov processes.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Spectral Theory in Mathematical Physics · Differential Equations and Boundary Problems