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20022009
most citedThe spread of a rumor or infection in a moving population

111 citations

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8 papers · 1 filter

math.DS2009

An asymptotic universal focal decomposition for non-isochronous potentials

C. A. A. de Carvalho, M. M. Peixoto, D. Pinheiro +1

Galileo, in the XVII century, observed that the small oscillations of a pendulum seem to have constant period. In fact, the Taylor expansion of the period map of the pendulum is co…

math.DS20081 cited

Robust ergodic properties in partially hyperbolic dynamics

Martin Andersson

We study ergodic properties of partially hyperbolic systems whose central direction is mostly contracting. Earlier work of Bonatti, Viana about existence and finitude of physical m…

math.DS20086 cited

On the regularization of conservative maps

Artur Avila

We show that smooth maps are -dense among volume preserving maps.

math.DS20081 cited

Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps

Paulo Varandas, Marcelo Viana

We prove existence of finitely many ergodic equilibrium states for a large class of non-uniformly expanding local homeomorphisms on compact manifolds and Holder continuous potentia…

math.DS2007

Free curves and periodic points for torus homeomorphisms

Alejandro Kocsard, Andres Koropecki

We study the relationship between free curves and periodic points for torus homeomorphisms in the homotopy class of the identity. By free curve we mean a homotopically nontrivial s…

math.DS2007

Chaotic Period Doubling

V. V. M. S. Chandramouli, M. Martens, W. de Melo +1

The period doubling renormalization operator was introduced by M. Feigenbaum and by P. Coullet and C. Tresser in the nineteen-seventieth to study the asymptotic small scale geometr…