On Some Aspects of the Theory of Anosov Systems: With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic Flows

By Gregory Margulis, Richard Sharp. 2004

107 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/0dd7b95b5242c0360e5cec1d3602e69b64f73453

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Citations in the corpus

• Distribution of periodic torus orbits and Duke's theorem for cubic fields (2007, background): “In [17], we give a modern reincarnation of Linnik’s original argument, giving in particular a purely dynamical proof of equidistribution in the problem (∗∗)m>0; without an auxiliary congruence condition.”
• FIFTY YEARS OF ENTROPY IN DYNAMICS: 1958-2007 (2007, background): “thesis work [92], which at the time was published only partially [90, 91], was proving a similar multiplicative asymptotic for manifolds of variable negative curvature.”
• Counting lattice points (2009, background): “(2) via mixing of 1-parameter flows, or equivalently decay of matrix coe‰cients for semisimple groups [1], [2], [6], [27], [37], [59], [60], [61], [62], [65], [66],”