Asymptotics for Functions Associated with Heat Flow on the Sierpinski Carpet

DOI10.4153/CJM-2010-079-7zbMath1208.35012MaRDI QIDQ3073402

Benjamin M. Hambly

Publication date: 11 February 2011

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

integrated eigenvalue counting function

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Brownian motion (60J65) Heat equation (35K05) Diffusion processes and stochastic analysis on manifolds (58J65) Fractals (28A80)

Related Items (9)

Spectral asymptotics for Laplacians on self-similar sets ⋮ Existence of a meromorphic extension of spectral zeta functions on fractals ⋮ Oscillations of BV measures on unbounded nested fractals ⋮ Estimates for negative eigenvalues of Schrödinger operators on unbounded fractal spaces ⋮ On-diagonal oscillation of the heat kernels on post-critically finite self-similar fractals ⋮ Advances in Dixmier traces and applications ⋮ Log-periodic asymptotic expansion of the spectral partition function for self-similar sets ⋮ Geometry and field theory in multi-fractional spacetime ⋮ Developments in fractal geometry

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