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math-ph2018★ 7 cited
Solution of the Metropolis dynamics on a complete graph with application to the Markov chain Mpemba effect
Israel Klich, Marija Vucelja
We find analytically the complete set of eigenvalues and eigenvectors associated with Metropolis dynamics on a complete graph. As an application, we use this information to study a…
math-ph2011★ 2 cited
Fractal iso-contours of passive scalar in smooth random flows
Marija Vucelja, Gregory Falkovich, Konstantin S. Turitsyn
We consider a passive scalar field under the action of pumping, diffusion and advection by a smooth flow with a Lagrangian chaos. We present theoretical arguments showing that scal…