Measurable Riemannian structures associated with strong local Dirichlet forms

DOI10.1002/mana.201200061zbMath1277.31017arXiv1212.6166OpenAlexW2088932207WikidataQ115405906 ScholiaQ115405906MaRDI QIDQ2862559

Masanori Hino

Publication date: 15 November 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6166

zbMATH Keywords

diffusion processDirichlet formenergy measuremartingale additive functionalmeasurable Riemannian structure

Mathematics Subject Classification ID

Dirichlet forms (31C25) Diffusion processes (60J60) Stochastic integrals (60H05) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (9)

The extremals of Minkowski's quadratic inequality ⋮ Some properties of energy measures on Sierpinski gasket type fractals ⋮ Indices of Dirichlet forms ⋮ Fractal snowflake domain diffusion with boundary and interior drifts ⋮ HARMONIC GRADIENTS ON HIGHER-DIMENSIONAL SIERPIŃSKI GASKETS ⋮ Differential one-forms on Dirichlet spaces and Bakry-Émery estimates on metric graphs ⋮ Geodesic distances and intrinsic distances on some fractal sets ⋮ Finite Energy Coordinates and Vector Analysis on Fractals ⋮ Local Dirichlet forms, Hodge theory, and the Navier-Stokes equations on topologically one-dimensional fractals

Cites Work

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• On a class of additive functionals of Markov processes
• On Square Integrable Martingales
• Energy measures and indices of Dirichlet forms, with applications to derivatives on some fractals

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