Zobrazeno 1 - 10
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pro vyhledávání: '"Lenci, Marco"'
Autor:
Canestrari, Giovanni, Lenci, Marco
We study the property of global-local mixing for full-branched expanding maps of either the half-line or the interval, with one indifferent fixed point. Global-local mixing expresses the decorrelation of global vs local observables w.r.t. to an infin
Externí odkaz:
http://arxiv.org/abs/2405.05948
Autor:
Galli, Daniele, Lenci, Marco
Publikováno v:
J. Stat. Phys. 190 (2023), no. 1, Paper No. 21, 15 pp
We consider extensions of non-singular maps which are exact, respectively K-mixing, or at least have a decomposition into positive-measure exact, respectively K-mixing, components. The fibers of the extension spaces have countable (finite or infinite
Externí odkaz:
http://arxiv.org/abs/2203.11822
Publikováno v:
Discrete Contin. Dyn. Syst. 42 (2022), no. 12, 6007-6029
We consider the shift transformation on the space of infinite sequences over a finite alphabet endowed with the invariant product measure, and examine the presence of a \emph{hole} on the space. The holes we study are specified by the sequences that
Externí odkaz:
http://arxiv.org/abs/2112.14248
Autor:
Lenci, Marco
A L\'evy random medium, in a given space, is a random point process where the distances between points, a.k.a. targets, are long-tailed. Random walks visiting the targets of a L\'evy random medium have been used to model many (physical, ecological, s
Externí odkaz:
http://arxiv.org/abs/2112.08822
Publikováno v:
Nonlinearity 36 (2023), no. 2, 1029-1052
We call internal-wave billiard the dynamical system of a point particle that moves freely inside a planar domain (the table) and is reflected by its boundary according to this rule: reflections are standard Fresnel reflections but with the pretense t
Externí odkaz:
http://arxiv.org/abs/2102.01654
Publikováno v:
Electron. J. Probab. 26 (2021), article no. 57, 1-25
We study a random walk on a point process given by an ordered array of points $(\omega_k, \, k \in \mathbb{Z})$ on the real line. The distances $\omega_{k+1} - \omega_k$ are i.i.d. random variables in the domain of attraction of a $\beta$-stable law,
Externí odkaz:
http://arxiv.org/abs/2007.03384
Autor:
Bonanno, Claudio, Lenci, Marco
We prove that a large class of expanding maps of the unit interval with a $C^2$-regular indifferent point in 0 and full increasing branches are global-local mixing. This class includes the standard Pomeau-Manneville maps $T(x) = x + x^{p+1}$ mod 1 ($
Externí odkaz:
http://arxiv.org/abs/1911.02913
We consider the sums $T_N=\sum_{n=1}^N F(S_n)$ where $S_n$ is a random walk on $\mathbb Z^d$ and $F:\mathbb Z^d\to \mathbb R$ is a global observable, that is, a bounded function which admits an average value when averaged over large cubes. We show th
Externí odkaz:
http://arxiv.org/abs/1902.11071
Publikováno v:
Stochastic Process. Appl. 130 (2020), no. 2, 708-732
We consider a continuous-time random walk which is defined as an interpolation of a random walk on a point process on the real line. The distances between neighboring points of the point process are i.i.d. random variables in the normal domain of att
Externí odkaz:
http://arxiv.org/abs/1806.02278
Autor:
Lenci, Marco, Munday, Sara
Publikováno v:
Chaos 28 (2018), 083111, 16 pp
It is well-known that a strict analogue of the Birkhoff Ergodic Theorem in infinite ergodic theory is trivial; it states that for any infinite-measure-preserving ergodic system the Birkhoff average of every integrable function is almost everywhere ze
Externí odkaz:
http://arxiv.org/abs/1804.05359