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math.MG2026
Walk dimension and vanishing curve modulus in metric measure spaces
Aobo Chen
On a regular local -Dirichlet space supporting a Poincaré inequality and a capacity upper bound, we characterize the existence of curve families of positive -modulus in term…
math.MG2026
Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence
Aobo Chen
We construct a conservative and strongly local regular symmetric Dirichlet form on the pointed Gromov--Hausdorff limit space and demonstrate the stability of heat kernel estimates…