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math.DS2004
Dynimics and entropy in the Zhang model of Self-Organized Criticality
Boris S. Kruglikov, Martin Rypdal
We give a detailed study of dynamical properties of the Zhang model, including evaluation of topological entropy and estimates for the Lyapunov exponents and the dimension of the a…
math.DG2004
Strictly non-proportional geodesically equivalent metrics have
Boris S. Kruglikov, Vladimir S. Matveev
Suppose the Riemannian metrics and on a closed connected manifold are geodesically equivalent and strictly non-proportional at least at one point. Then the topol…