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Homogenization and continuum percolation
Homogenization random media continuum percolation
2011/9/22
Abstract: We propose continuum percolation theory to study homogenization problems of elliptic equations.Our aim is to improve and extend similar results that have been obtained for periodic domains u...
Numerical Computations of Conductivities over Agglomerated Continuum Percolation Models
continuum percolation conductivity critical exponents agglomerated particles
2011/8/16
Abstract: We numerically investigate the conductivities of continuum percolation models consisting of overlapped particles using the finite difference method as a sequel of our previous article (Int. ...
Hausdorff dimension of visibility sets for well-behaved continuum percolation in the hyperbolic plane
Boolean model continuum percolation fractal geometry Hausdorff-dimension hyperbolic geometry
2011/7/27
Abstract: Let Z be a so-called well-behaved percolation, i.e. a certain random closed set in the hyperbolic plane, whose law is invariant under all isometries; for example the covered region in a Pois...