Self-Similar Energies on Finitely Ramified Fractals
- Pierone Roberto: SELF-SIMILAR ENERGIES ON FINITELY RAMIFIED
- Format
- Bog, hardback
- Engelsk
- 420 sider
Normalpris
Medlemspris
- Du sparer kr. 60,00
- Fri fragt
-
Leveringstid: 7-12 Hverdage (Sendes fra fjernlager) Forventet levering: 16-03-2026
- Kan pakkes ind og sendes som gave
Beskrivelse
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.
Detaljer
- SprogEngelsk
- Sidetal420
- Udgivelsesdato02-10-2025
- ISBN139789819809141
- Forlag World Scientific
- FormatHardback
- Udgave0
Størrelse og vægt
10 cm
Anmeldelser
Vær den første!
Findes i disse kategorier...
- Fagbøger
- Andre fagbøger
- Matematik og naturvidenskab
- Matematik
- Regning og matematisk analyse
- Differentialregning og differentialligninger
- Self-Similar Energies on Finitely Ramified Fractals
- Fagbøger
- Andre fagbøger
- Matematik og naturvidenskab
- Naturvidenskab: generelle emner
- Videnskabelige standarder, målesystem etc.
- Self-Similar Energies on Finitely Ramified Fractals