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math.PR2024
Martingale and analytic dimensions coincide under Gaussian heat kernel bounds
Mathav Murugan
Given a strongly local Dirichlet form on a metric measure space that satisfies Gaussian heat kernel bounds, we show that the martingale dimension of the associated diffusion proces…
math.PR2024
Diffusions and random walks with prescribed sub-Gaussian heat kernel estimates
Mathav Murugan
Given suitable functions , we obtain necessary and sufficient conditions on for the existence of a metric measure space and a symmetric diffus…