Estimates of the transition densities for the reflected Brownian motion on simple nested fractals

DOI10.19195/0208-4147.39.2.10zbMath1434.60208arXiv1804.04998OpenAlexW3011242254MaRDI QIDQ5109853

Mariusz Olszewski

Publication date: 13 May 2020

Published in: Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04998

zbMATH Keywords

projectionSierpiński gasketgraph metricreflected processtransition probability densitygood labeling propertysimple nested fractal

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Fractals (28A80) Transition functions, generators and resolvents (60J35)

Related Items (2)

REFLECTED BROWNIAN MOTION ON SIMPLE NESTED FRACTALS ⋮ Density of states for the Anderson model on nested fractals

Cites Work

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• The construction of Brownian motion on the Sierpinski carpet
• The Lifschitz singularity for the density of states on the Sierpinski gasket
• Construction of diffusion processes on fractals, \(d\)-sets, and general metric measure spaces
• Dirichlet forms of fractals and products of random matrices
• Brownian motion on the Sierpinski gasket
• Lectures on probability theory and statistics. Ecole d'Eté de probabilités de Saint-Flour XXV - 1995. Lectures given at the summer school in Saint-Flour, France, July 10-26, 1995
• Estimates of transition densities for Brownian motion of nested fractals
• Transition density estimates for Brownian motion on affine nested fractals
• Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket
• Homogenization of nested fractals
• Brownian motion penetrating fractals. An application of the trace theorem of Besov spaces
• Integrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket
• Lifschitz tails for random Schrödinger operators on nested fractals
• Boundary Harnack Inequality for alpha-harmonic functions on the Sierpi\'nski triangle
• Brownian motion on nested fractals
• Harnack inequality for stable processes on d-sets
• The Wiener Sausage Asymptotics on Simple Nested Fractals
• REFLECTED BROWNIAN MOTION ON SIMPLE NESTED FRACTALS

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