Upper estimate of martingale dimension for self-similar fractals
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Publication:365708
DOI10.1007/s00440-012-0442-3zbMath1279.60055arXiv1205.5617OpenAlexW3104339688MaRDI QIDQ365708
Publication date: 9 September 2013
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.5617
Dirichlet forms (31C25) Martingales with continuous parameter (60G44) Diffusion processes (60J60) Fractals (28A80)
Related Items (11)
Backward problems for stochastic differential equations on the Sierpinski gasket ⋮ Some properties of energy measures on Sierpinski gasket type fractals ⋮ Indices of Dirichlet forms ⋮ An elementary proof that walk dimension is greater than two for Brownian motion on Sierpiński carpets ⋮ Construction of 𝑝-energy and associated energy measures on Sierpiński carpets ⋮ On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions ⋮ Estimates of the Local Spectral Dimension of the Sierpinski Gasket ⋮ Log-periodic asymptotic expansion of the spectral partition function for self-similar sets ⋮ Local Dirichlet forms, Hodge theory, and the Navier-Stokes equations on topologically one-dimensional fractals ⋮ Parabolic type equations associated with the Dirichlet form on the sierpinski gasket ⋮ Measurable Riemannian structures associated with strong local Dirichlet forms
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