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Highly Cited

2015

Highly Cited

2015

A bstractRecently it has been established that torsional Newton-Cartan (TNC) geometry is the appropriate geometrical framework to…

Review

2011

Review

2011

Research is reviewed on the identification and construction of physical systems with chaotic dynamics due to uniformly hyperbolic…

2010

2010

We show that the Lipschitz shadowing property of a diffeomorphism is equivalent to structural stability. As a corollary, we show…

Highly Cited

2008

Highly Cited

2008

We analyse some properties of the cohomogeneity one Ricci soliton equations, and use Ansätze of cohomogeneity one to produce new…

Highly Cited

1999

Highly Cited

1999

Given a dynamical system and a function f from the state space to the real numbers, an optimal orbit for f is an orbit over which…

Highly Cited

1993

Highly Cited

1993

The Geometry of Exponential Families. Calculus on Manifolds. Statistical Manifolds. Connections. Curvature. Information Metrices…

Highly Cited

1993

Highly Cited

1993

This paper deals with the dynamics of a simple family of holomorphic diffeomorphisms of $\C^2$: the polynomial automorphisms…

Highly Cited

1992

Highly Cited

1992

We prove exponential decay of correlations for (f, μ), wheref belongs in a positive measure set of quadratic maps of the interval…

Review

1989

Review

1989

Letf:X↦X be an expanding map of a compact space (small distances are increased by a factor >1). A generating functionζ(z) is…

Highly Cited

1969

Highly Cited

1969

In [7] S. Smale poses the problem of classifying all Anosov diffeomorphisms of compact manifolds up to topological conjugacy. The…