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math.DS2005
Saari's Conjecture is True for Generic Vector Fields
Tanya Schmah, Cristina Stoica
The simplest non-collision solutions of the N-body problem are the "relative equilibria", in which each body follows a circular orbit around the centre of mass and the shape formed…
math.DS2004
Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps
Henk Bruin, Stefano Luzzatto
We explore some properties of Lyapunov exponents of measures preserved by smooth maps of the interval, and study the behaviour of the Lyapunov exponents under topological conjugacy…
math.DS2004★ 18 cited
Stochastic-like behaviour in nonuniformly expanding maps
Stefano Luzzatto
This is a significantly expanded version of the survey paper "Mixing and decay of correlations in non-uniformly expanding maps: a survey of recent results" math/0301319. We discuss…