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EVOLUTION OF ADIABATIC INVARIANTS IN STOCHASTIC AVERAGING
STOCHASTIC AVERAGING ADIABATIC INVARIANTS
2015/9/29
An averaging problem with Markov fast motion is
considered. The di usive limit is obtained for the evolution of adabatic invariants under the assumption that the averaged motion
is ergodic on almost...
Robustness of Two Simple Rules for the Evolution of Cooperation on Regular Graphs
Evolutionary game theory evolution of cooperation interacting particle systems voter model perturbations voter model
2011/8/29
Abstract: We study two simple rules on finite graphs for the death-birth updating and the imitation updating discovered by Ohtsuki, Hauert, Lieberman, and Nowak [\emph{Nature} {\bf 441} (2006) 502-505...
Planar percolation with a glimpse of Schramm-Loewner Evolution
Planar percolation Schramm-Loewner Evolution Statistical Mechanics
2011/8/22
Abstract: In recent years, important progress has been made in the field of two-dimensional statistical physics. One of the most striking achievement is probably the proof of conformal invariance of p...