Estimates of the Local Spectral Dimension of the Sierpinski Gasket

DOI10.1007/978-3-031-37800-3_11arXiv2211.02827OpenAlexW4387916387MaRDI QIDQ6197132

Masanori Hino

Publication date: 19 March 2024

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.02827

Mathematics Subject Classification ID

Dirichlet forms (31C25) Fractals (28A80)

Cites Work

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• Some properties of energy measures on Sierpinski gasket type fractals
• Upper estimate of martingale dimension for self-similar fractals
• Heat kernel asymptotics for the measurable Riemannian structure on the Sierpinski gasket
• Dirichlet forms of fractals and products of random matrices
• Brownian motion on the Sierpinski gasket
• Martingale dimensions for fractals
• Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate
• Energy measures of harmonic functions on the Sierpinski gasket
• ON SINGULARITY OF ENERGY MEASURES ON SELF-SIMILAR SETS II
• Multifractal formalisms for the local spectral and walk dimensions
• Transition density asymptotics for some diffusion processes with multi-fractal structures

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