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Norm convergence of nilpotent ergodic averages
(Annal Mathematics, 2012-05)
We show that multiple polynomial ergodic averages arising from nilpo-tent groups of measure preserving transformations of a probability space always converge in the L 2 norm.
New criteria for hyperbolicity based on periodic sets
(2011)
We prove some criteria for uniform hyperbolicity based on the periodic points of the transformation. More precisely, if a mild hyperbolicity condition holds for the periodic points of any diffeomorphism in a residual subset ...
Ergodic properties of triangle partitions
(Springer Wien, 2009-07-01)
We study the ergodic properties of a map called the Triangle Sequence. We prove that the algorithm is weakly convergent almost surely, and ergodic. As far as we know, it is the first example of a 2-dimensional algorithm ...
Ergodic properties of triangle partitions
(Springer Wien, 2009-07-01)
We study the ergodic properties of a map called the Triangle Sequence. We prove that the algorithm is weakly convergent almost surely, and ergodic. As far as we know, it is the first example of a 2-dimensional algorithm ...
Ergodic properties of triangle partitions
(Springer Wien, 2014)
NONSTATIONARY MIXING AND THE UNIQUE ERGODICITY OF ADIC TRANSFORMATIONS
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2009)
We define topological and measure-theoretic mixing for nonstationary dynamical systems and prove that for a nonstationary subshift of finite type, topological mixing implies the minimality of any adic transformation defined ...
Mean-field analysis of the majority-vote model broken-ergodicity steady state
(Institute of Physics - IOPBristol, 2012-06)
We study analytically a variant of the one-dimensional majority-vote model in which the individual retains its opinion in case there is a tie among the neighbors' opinions. The individuals are fixed at the sites of a ring ...