3 papers
math.FA2025
Nonlinear resistance forms
Simon Puchert, Marcel Schmidt
In this paper we introduce the notion of nonlinear resistance forms. We define a -parameter family of nonlinear resistance metrics and show their additivity over serial circuits…
math.FA2025
Nonlinear Beurling-Deny criteria
Simon Puchert
This short note introduces a simple symmetric contraction property for functionals. This property clearly characterizes Dirichlet forms in the linear case. We show that it also cha…
math.MG2018
Characterizations of canonically compactifiable graphs via intrinsic metrics and algebraic properties
Simon Puchert
We consider infinite graphs and the associated energy forms. We show that a graph is canonically compactifiable (i.e. all functions of finite energy are bounded) if and only if the…