Global ETD Search

Self-adjoint Laplacians and Symmetric Diffusions on Hyperbolic Attractors

Alikhanloo, ShayanUniversität Bielefeld

… dynamical systems is established in terms of Dirichlet forms. We construct self-adjoint Laplacians and symmetric Markov semigroups on uniformly, partially and generalized hyperbolic attractors, as well as on attractors with nonuniformly hyperbolic structure, endowed with SRB measures or Gibbs …

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Brownian Motion on Spaces with Varying Dimension

Lou, Shuwen2014

… by infinitesimal generators and by non-symmetric Dirichlet forms. By establishing and using Duhamel's formula, we show the transition density of Brownian motion with drift on spaces with varying dimension is comparable to that of Brownian motion with varying dimension without drift. We also derive …

washington Repository record for Brownian Motion on Spaces with Varying Dimension (opens in a new tab)

Intrinsic Ultracontractivity and Other Properties of Mixed Barrier Brownian Motions

Wong, KittipatUniversity of Illinois at Urbana-Champaign2015

… an asymptotic behavior of Brownian motions with Dirichlet boundary condition on an unbounded domain D above the graph of a bounded Lipschitz function. We discover that the large time behavior of the Dirichlet heat kernel pD = pD(t , x, y), for x, y ∈ D is limt→infinity td+22pD t,x,y=C1u …

uiuc Repository record for Intrinsic Ultracontractivity and Other Properties of Mixed Barrier Brownian Motions (opens in a new tab)

Random Walks on random trees and hyperbolic groups: trace processes on boundaries at infinity and the speed of biased random walks

Tokushige, YukiKyoto University2019

kyoto Repository record for Random Walks on random trees and hyperbolic groups: trace processes on boundaries at infinity and the speed of biased random walks (opens in a new tab)