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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...