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On emergence and complexity of ergodic decompositions
(Academic Press Inc., 2021)
© 2021 Elsevier Inc.A concept of emergence was recently introduced in [5] in order to quantify the richness of possible statistical behaviors of orbits of a given dynamical system. In this paper, we develop this concept ...
A Quantum Version of Spectral Decomposition Theorem of dynamical systems, quantum chaos hierarchy: Ergodic, mixing and exact
(Pergamon-Elsevier Science Ltd, 2015-01)
In this paper we study Spectral Decomposition Theorem (Lasota and Mackey, 1985) and translate it to quantum language by means of the Wigner transform. We obtain a Quantum Version of Spectral Decomposition Theorem (QSDT) ...
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 ...
KALIKOW-TYPE DECOMPOSITION FOR MULTICOLOR INFINITE RANGE PARTICLE SYSTEMS
(Inst Mathematical StatisticsClevelandEUA, 2013)
MULTIPLICATIVE ERGODIC THEOREM ON FLAG BUNDLES OF SEMI-SIMPLE LIE GROUPS
(Amer Inst Mathematical SciencesSpringfieldEUA, 2013)
Tubular neighborhoods and continuation of Morse decompositions
(Cambridge University PressNew York, 2015-10)
We prove a continuation result for Morse decompositions under tubular singular semiflow perturbations, which generalizes a corresponding result from Carbinatto and Rybakowski [Morse decompositions in the absence of uniqueness, ...