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Seminorms for multiple averages along polynomials and applications to joint ergodicity
(Hebrew Univ. Magnes, Israel, 2021)
Exploiting the recent work of Tao and Ziegler on the concatenation theorem on factors, we find explicit characteristic factors for multiple averages along polynomials on systems with commuting transformations, and use them ...
MULTIPLICATIVE ERGODIC THEOREM ON FLAG BUNDLES OF SEMI-SIMPLE LIE GROUPS
(Amer Inst Mathematical SciencesSpringfieldEUA, 2013)
A Multiplicative Ergodic Theorem For Rotation Numbers
(Kluwer Academic Publishers-Plenum Publishers, 1989)
Quantitative multiple recurrence for two and three transformations
(Hebrew University Magnes Press, 2018-06)
We provide various counter examples for quantitative multiple recurrence problems for systems with more than one transformation. We show that:There exists an ergodic system (X,X, mu,T (1), T (2)) with two commuting ...
Uma relação entre expoentes de Lyapunov e entropiaA relation between Lyapunov exponents and entropy
(Universidade Federal de UberlândiaBrasilPrograma de Pós-graduação em Matemática, 2017)
Optimization of Lyapunov exponents of matrix cocycles
(2015)
will discuss the problem of optimizing (i.e., maximizing or minimizing) the upper Lyapunov exponent of a matrix
cocycle. The main result to be presented, joint with Michal Rams (Warsaw), says that if a 2x2 one-step cocycle
has ...