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pro vyhledávání: '"Cristadoro A"'
We investigate the first passage time beyond a barrier located at $b\geq0$ of a random walk with independent and identically distributed jumps, starting from $x_0=0$. The walk is subject to stochastic resetting, meaning that after each step the evolu
Externí odkaz:
http://arxiv.org/abs/2410.05835
Autor:
Cristadoro, Giampaolo, Pozzoli, Gaia
We derive a large deviation principle for families of random variables in the basin of attraction of spectrally positive stable distributions by proving a uniform version of the Tauberian theorem for Laplace-Stieltjes transforms. The main advantage o
Externí odkaz:
http://arxiv.org/abs/2407.04059
Autor:
Radice, Mattia, Cristadoro, Giampaolo
Publikováno v:
Phys. Rev. E 110, L022103 (2024)
We consider a one-dimensional search process under stochastic resetting conditions. A target is located at $b\geq0$ and a searcher, starting from the origin, performs a discrete-time random walk with independent jumps drawn from a heavy-tailed distri
Externí odkaz:
http://arxiv.org/abs/2403.12727
Publikováno v:
Stochastic Processes and their Applications 166:104222 (2023)
We introduce conditions of lower decoupling to the study of waiting-time estimations of the cross entropy between two mutually independent stationary stochastic processes. Although similar decoupling conditions have been used in the literature on lar
Externí odkaz:
http://arxiv.org/abs/2209.09717
Publikováno v:
Letters in Mathematical Physics 113(1), 2023
The universal typical-signal estimators of entropy and cross entropy based on the asymptotics of recurrence and waiting times play an important role in information theory. Building on their construction, we introduce and study universal typical-signa
Externí odkaz:
http://arxiv.org/abs/2209.09716
We consider a random walk $Y$ moving on a \emph{L\'evy random medium}, namely a one-dimensional renewal point process with inter-distances between points that are in the domain of attraction of a stable law. The focus is on the characterization of th
Externí odkaz:
http://arxiv.org/abs/2206.02271
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
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:
Phys. Rev. Research 2, 033477 (2020)
Genetic sequences are known to possess non-trivial composition together with symmetries in the frequencies of their components. Recently, it has been shown that symmetry and structure are hierarchically intertwined in DNA, suggesting a common origin
Externí odkaz:
http://arxiv.org/abs/2006.12017
Publikováno v:
In Stochastic Processes and their Applications December 2023 166
