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Sharp vanishing thresholds for cohomology of random flag complexes
Sharp vanishing thresholds cohomology random flag complexes Algebraic Topology
2012/7/11
We exhibit a sharp threshold for vanishing of rational cohomology in random flag complexes, providing a generalization of the Erd\H{o}s-R\'enyi theorem. As a corollary, almost all d-dimensional flag c...
Dynamics of random selfmaps of surfaces with boundary
periodic points generic properities surface remnant asymptotic density Nielsen theory entropy
2011/9/16
Abstract: We use Wagner's algorithm to estimate the number of periodic points of certain selfmaps on compact surfaces with boundary. When counting according to homotopy classes, we can use the asympto...
Stochastic Homology. Reduction Formulas for Computing Stochastic Betti Numbers of Maximal Random Complexes with Discrete Probabilities. Computation and Applications
Stochastic Homology Stochastic Betti Numbers Maximal Random Complexes Algebraic Topology
2011/8/25
Abstract: Given a chain complex with the only modi?cation that each cell of the complex has a probability distribution assigned. We will call this complex - a random complex and what should be underst...
Random Attractors for Sto chastic Reaction-Diffusion Equations on Unb ounded Domains
Sto chastic Reaction-Diffusion Equations Domains
2015/4/3
When Ω is unb ounded the time-t map is no longer
compact, but even i n this case, if g decays sufficiently fast
at infinity, asymptotic compactness of orbits and hence
the existence of a comp...