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Transition Density Estimates for Diffusion Processes on Post Critically Finite Self-Similar Fractals

https://doi.org/10.1112/s0024611599001744

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Harmonic Calculus on Limits of Networks and Its Application to Dendrites

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How many diffusions exist on the Vicsek snowflake?

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Transition densities for Brownian motion on the Sierpinski carpet

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Estimates of transition densities for Brownian motion on nested fractals

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Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals

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Transition density estimates for Brownian motion on affine nested fractals

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On eigenvalue problems for Laplacians on P.C.F. self-similar sets

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Diffusions on fractals

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Existence and uniqueness of diffusions on finitely ramified self-similar fractals

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Transition density estimates for Brownian motion on scale irregular Sierpinski gaskets

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Effective resistances for harmonic structures on p.c.f. self-similar sets

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Heat Kernel Estimates and Homogenization for Asymptotically Lower Dimensional Processes on Some Nested Fractals

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THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS

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Diffusion in disordered media

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Harmonic Calculus on P.C.F. Self-Similar Sets

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Localized Eigenfunctions of the Laplacian on p.c.f. Self-Similar Sets

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Gaussian Field Theories on General Networks and the Spectral Dimensions

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Regularity, closedness and spectral dimensions of the Dirichlet forms on P.C.F. self-similar sets

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