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6 papers · 2 filters
Rigidity of generalized Veech 1969/Sataev 1975 extensions of rotations
Sébastien Ferenczi, Pasacal Hubert
We look at -point extensions of a rotation of angle with marked points, generalizing the examples of Veech 1969 and Sataev 1975, together with the square-tiled interval…
On critical renormalization of complex polynomials
Alexander Blokh, Peter Haissinsky, Lex Oversteegen +1
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider certain conditions guaranteeing that a polynomial which does not admit a polynomial-…
The role of continuity and expansiveness on leo and periodic specification properties
Serge Troubetzkoy, Paulo Varandas
In this short note we prove that a continuous map which is locally eventually onto and is expansive satisfies the periodic specification property. We also discuss the role of conti…
Weakly and Strongly Aperiodic Subshifts of Finite Type on Baumslag-Solitar Groups
Solène J. Esnay, Etienne Moutot
We study the periodicity of subshifts of finite type (SFT) on Baumslag-Solitar groups. We show that for residually finite Baumslag-Solitar groups there exist both strongly and weak…
On substitution automorphisms with pure singular spectrum
Alexander I. Bufetov, Boris Solomyak
A sufficient condition for a substitution automorphism to have pure singular spectrum is given in terms of the top Lyapunov exponent of the associated spectral cocycle. As a coroll…
Extreme value distributions of observation recurrences
Théophile Caby, Davide Faranda, Sandro Vaienti +1
We study analytically and numerically the extreme value distribution of observables defined along the temporal evolution of a dynamical system. The convergence to the Gumbel law of…