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An equation-free approach to coarse-graining the dynamics of networks
equation-free approach coarse-graining dynamics of networks
2012/2/29
We propose and illustrate an approach to coarse-graining the dynamics of evolving networks (networks whose connectivity changes dynamically). The approach is based on the equation-free framework: shor...
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 difficulties ...
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...
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 difficulties b...
Coarse-graining of inhomogeneous dust flow in General Relativity via isometric embeddings
inhomogeneous dust flow isometric embeddings
2010/3/17
We present a new approach to coarse-graining of variables describing dust flow in GR. It is based on assigning quasi-local shear, twist and expansion to 2-dimensional surfaces with the help of isometr...