SELF-SIMILAR ENERGIES ON FINITELY RAMIFIED FRACTALS

Name: SELF-SIMILAR ENERGIES ON FINITELY RAMIFIED FRACTALS
Brand: World Scientific
Availability: OutOfStock
Rating: 5 (1 reviews)

By Pierone Roberto

0 - Default Title

Description

This monograph delves into the theory of self-similar energies on finitely ramified self-similar fractals. Using these self-similar energies, one can construct Laplacians, harmonic functions, Brownian motion, and differential equations specific to these fractals.
On finitely ramified fractals, self-similar energies are derived from eigenforms - quadratic forms that are eigenvectors of a special nonlinear operator within a finite-dimensional function space. The monograph also explores conditions for the existence and uniqueness of these self-similar energies and addresses related problems. For certain cases, complete solutions are provided.
Analysis on fractals began to take shape as a mathematical field in the late 1980s. Traditionally, the focus of analysis has been on finitely ramified fractals - those in which copies intersect at only finitely many points. To date, a comprehensive theory for infinitely ramified fractals remains elusive.

Product details

Number of Pages:: 492
Release Date:: 2025-10-23
Publication Date:: 2025-10-02
Publisher:: World Scientific
Languages:: Original: English
ISBN10:: 9819809142
ISBN13:: 9789819809141
GPSR Manufacturer Reference:: [email protected]
Weight:: 857 g
Height:: 15.7 cm
Width:: 23.5 cm
Thickness:: 3.1 cm

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