Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Anthony Quas"'
Publikováno v:
Discrete Analysis (2021)
Geometric random graphs and Rado sets of continuous functions, Discrete Analysis 2021:3, 21 pp. For several reasons, random graphs play a central role in the theory of finite graphs. For example, a typical random graph has properties that are hard t
Externí odkaz:
https://doaj.org/article/bda42dc85f784bdca15148de4a5f67d8
Publikováno v:
Discrete Analysis (2016)
Computing automorphism groups of shifts, using atypical equivalence classes, Discrete Analysis 2016:3, 24 pp. Symbolic dynamics is about dynamical systems of the following type. Let $A$ be an alphabet, and let $\sigma$ be the left shift map from $A^
Externí odkaz:
https://doaj.org/article/98f44f6e5d68455cafca584fd1732a65
Autor:
Anthony Quas, Cecilia González-Tokman
Publikováno v:
Journal of the European Mathematical Society. 23:3419-3457
In this paper, we study random Blaschke products, acting on the unit circle, and consider the cocycle of Perron-Frobenius operators acting on Banach spaces of analytic functions on an annulus. We completely describe the Lyapunov spectrum of these coc
Autor:
Terrence Adams, Anthony Quas
Publikováno v:
Encyclopedia of Complexity and Systems Science ISBN: 9783642277375
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cfa11e73b2c1fccf0f2a222b28df1dbd
https://doi.org/10.1007/978-3-642-27737-5_175-3
https://doi.org/10.1007/978-3-642-27737-5_175-3
Publikováno v:
Ergodic Theory and Dynamical Systems. 41:869-880
This paper establishes a fundamental difference between $\mathbb{Z}$ subshifts of finite type and $\mathbb{Z}^{2}$ subshifts of finite type in the context of ergodic optimization. Specifically, we consider a subshift of finite type $X$ as a subset of
Publikováno v:
Transactions of the American Mathematical Society. 372:2357-2388
We study cocycles of compact operators acting on a separable Hilbert space and investigate the stability of the Lyapunov exponents and Oseledets spaces when the operators are subjected to additive Gaussian noise. We show that as the noise is shrunk t
Autor:
Tamara Kucherenko, Anthony Quas
We study the flexibility of the pressure function of a continuous potential (observable) with respect to a parameter regarded as the inverse temperature. The points of non-differentiability of this function are of particular interest in statistical p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6633a62e45d5655438cea1c80cdcd2bf
We introduce a non-standard model for percolation on the integer lattice $\mathbb Z^2$. Randomly assign to each vertex $a \in \mathbb Z^2$ a potential, denoted $\phi_a$, chosen independently and uniformly from the interval $[0, 1]$. For fixed $\epsil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7c515d0df76f092ce13a32ea3622e5e
Liverani–Saussol–Vaienti (L–S–V) maps form a family of piecewise differentiable dynamical systems on [0, 1] depending on one parameter ω ∈ R + . These maps are everywhere expanding apart from a neutral fixed point. It is well known that de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a11d223eaf0d23862a4f34be8773068b
http://arxiv.org/abs/2007.05208
http://arxiv.org/abs/2007.05208
Let $\phi:X\to \mathbb R$ be a continuous potential associated with a symbolic dynamical system $T:X\to X$ over a finite alphabet. Introducing a parameter $\beta>0$ (interpreted as the inverse temperature) we study the regularity of the pressure func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb9c4b989f44e46ffe7354385f931f49