Einstein relation on fractal objects | Zendy

Uta Freiberg | Zendy

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Einstein relation on fractal objects

Author(s) -

Uta Freiberg

Publication year - 2011

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2012.17.509

Subject(s) - fractal , relation (database) , einstein , mathematics , geology , calculus (dental) , computer science , mathematical analysis , mathematical physics , data mining , medicine , orthodontics

Many physical phenomena proceed in or on irregular objects which are often modeled byfractal sets. Using the model case of the Sierpinski gasket, the notions of Hausdorff, spectraland walk dimension are introduced in a survey style. These "characteristic" numbers of thefractal are essential for the Einstein relation, expressing the interaction of geometric, analyticand stochastic aspects of a set. [ DOI : 10.1685 / CSC06175] About DOI

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