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This is a survey on analysis on non-compact co-compact Riemannian
covers and how it relates to random walks on finitely generated groups. The
focus is on the long time behavior of the heat kernel an...
Random Walk on a Co-Compact Fuchsian Group: Behavior of the Green's Function at the Spectral Radius
hyperbolic group surface group randomwalk Green’s function Gromov boundary Martin boundary Ruelle operator theorem
2011/9/22
Abstract: It is proved that the Green's function of a symmetric finite range random walk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is also show...
Riding a Spiral Wave: Numerical Simulation of Spiral Waves in a Co-Moving Frame of Reference
Spiral Wave Numerical Simulation Frame of Reference
2010/4/1
We describe an approach to numerical simulation of spiral waves dynamics of large spatial extent, using small computational grids.