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On the Existence of a Self-Similar Coarse Graining of a Self-Similar Space
self-similar set fractals dynamical system Cantor set coarse graining
2011/9/16
Abstract: A topological space homeomorphic to a self-similar space is demonstrated to be self-similar. There exists a self-similar space $S$ whose coarse graining is homeomorphic to $S$. The coarse gr...
Discretizations of continuum theories often do not preserve the gauge symmetry content.
This occurs in particular for diffeomorphism symmetry in general relativity, which leads to
severe difficultie...
Functional background of the Tsallis entropy:coarse-grained systems and kappa distribution functions
Functional background Tsallis entropy coarse-grained systems kappa distribution functions
2009/11/13
The concept of the generalized entropy is analyzed, with the particular attention to the definition postulated by Tsallis [J. Stat. Phys. 52, 479 (1988)]. We show that the Tsallis entropy can be rigor...