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Potential Theory on Almost Complex Manifolds
Potential Theory Almost Complex Manifolds Complex Variables
2011/9/5
Abstract: Pseudo-holomorphic curves on almost complex manifolds have been much more intensely studied than their "dual" objects, the plurisubharmonic functions. These functions are defined classically...
Chip-firing games, potential theory on graphs, and spanning trees
Chip-firing games graphs spanning trees Combinatorics
2011/8/26
Abstract: We study the interplay between chip-firing games and potential theory on graphs, characterizing reduced divisors ($G$-parking functions) on graphs as the solution to an energy (or potential)...
Potential theory of one-dimensional geometric stable processes
geometric stable process Green function first exit time tail function Poisson kernel Levy process
2011/8/25
Abstract: The purpose of this paper is to find optimal estimates for the Green function and the Poisson kernel for a half-line and intervals of the geometric stable process with parameter $\alpha\in(0...
Towards an Lp potential theory for sub-Markovian semigroups: kernels and capacities
nonlinear potential theory $(r,p)$-capacity Bessel potential space gamma-transform sub-Markovian semigroup
2007/12/12
We study in fairly general measure spaces $(X,\mu)$ the (non-linear) potential theory of $L^p$ sub-Markovian semigroups which are given by kernels having a density with respect to the underlying measu...
