Cheeger’s energy on the harmonic Sierpinski gasket

Autor:	Ugo Bessi
Přispěvatelé:	Bessi, Ugo
Rok vydání:	2020
Předmět:	Mathematics::Classical Analysis and ODEs Harmonic (mathematics) Lyapunov exponent 01 natural sciences Measure (mathematics) symbols.namesake Mathematics - Metric Geometry FOS: Mathematics Mathematics::Metric Geometry Fractal set 0101 mathematics Mathematics Mathematics::Complex Variables Dirichlet form Applied Mathematics Gasket 010102 general mathematics Mathematical analysis Metric Geometry (math.MG) Mathematics::Spectral Theory Sierpinski triangle 010101 applied mathematics Fractal sets Kusuoka's measure Cheeger's energy Condensed Matter::Statistical Mechanics symbols Analysis Energy (signal processing)
Zdroj:	Nonlinear Analysis. 199:111859
ISSN:	0362-546X
DOI:	10.1016/j.na.2020.111859
Popis:	Koskela and Zhou have proven that, on the harmonic Sierpinski gasket with Kusuoka’s measure, the “natural” Dirichlet form coincides with Cheeger’s energy. We give a different proof of this result, which uses the properties of the Lyapunov exponent of the gasket.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8e764e55b77251c59511922738846a7 https://doi.org/10.1016/j.na.2020.111859 Zobrazit plný text záznamu Full Text from ScienceDirect