Search Results - "Brofferio, Sara"
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ON UNBOUNDED INVARIANT MEASURES OF STOCHASTIC DYNAMICAL SYSTEMS
Published in The Annals of probability (01-05-2015)“…We consider stochastic dynamical systems on ℝ, that is, random processes defined by $X_{n}^{x}=\Psi_{n}(X_{n-1}^{x})$, $X_{0}^{x}=x$, where Ψn are i.i.d…”
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Asymptotically linear iterated function systems on the real line
Published in The Annals of applied probability (01-02-2023)“…Given a sequence of i.i.d. random functions Ψ n : R → R , n ∈ N , we consider the iterated function system and Markov chain, which is recursively defined by…”
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Poisson boundary of GLd(ℚ)
Published in Israel journal of mathematics (01-10-2011)“…We construct the Poisson boundary for a random walk supported by the general linear group on the rational numbers as the product of flag manifolds over the p…”
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On transience of card shuffling
Published in Proceedings of the American Mathematical Society (01-05-2001)“…We present simple proofs of transience/recurrence for certain card shuffling models, that is, random walks on the infinite symmetric group…”
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Poisson boundary of GL d (ℚ)
Published in Israel journal of mathematics (01-10-2011)Get full text
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Brownian Motion and Harmonic Functions on Sol(p,q)
Published in International mathematics research notices (01-01-2012)Get full text
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The poisson boundary of random rational affinities
Published in Annales de l'Institut Fourier (2006)Get full text
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Internal Diffusion Limited Aggregation on Discrete Groups Having Exponential Growth
Published in Probability theory and related fields (01-03-2007)“…The internal diffusion limited aggregation (DLA) has been introduced by Diaconis and Fulton [Rend. Sem. Mat. Univ. Pol. Torino 49, 95-119 (1991)]. It is a…”
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Recurrence of multidimensional affine recursions in the critical case
Published 07-08-2024“…We prove, under different natural hypotheses, that the random multidimensional affine recursion $X_n=A_nX_{n-1}+B_n\in\mathbb{R}^d, n \geq 1,$ is recurrent in…”
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Unique ergodicity for random noninvertible maps on an interval
Published 22-01-2024“…In this short note, we investigate non-invertible stochastic dynamical systems on the unit interval $[0, 1]$. We provide a handy condition for unique…”
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Speed of Stochastic Locally Contractive Systems
Published in The Annals of probability (01-10-2003)“…The auto-regressive model on Rddefined by the recurrence equation Yn y=anYn-1 y+Bn, where {(an,Bn)}nis a sequence of i.i.d. random variables in R+ *× Rd, has,…”
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A construction of the measurable Poisson boundary: from discrete to continuous groups
Published 11-03-2015“…Let $\Gamma$ be a dense countable subgroup of a locally compact continuous group $G$. Take a probability measure $\mu$ on $\Gamma$. There are two natural…”
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Asymptotically linear iterated function systems on the real line
Published 03-02-2021“…Given a sequence of i.i.d. random functions $\Psi_{n}:\mathbb{R}\to\mathbb{R}$, $n\in\mathbb{N}$, we consider the iterated function system and Markov chain…”
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On uniqueness of invariant measures for random walks on HOMEO(R)
Published 03-08-2020“…We consider random walks on the group of orientation-preserving homeomorphisms of the real line ${\mathbb R}$. In particular, the fundamental question of…”
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Positive Harmonic Functions for Semi-Isotropic Random Walks on Trees, Lamplighter Groups, and DL-Graphs
Published in Potential analysis (01-05-2006)“…We determine all positive harmonic functions for a large class of “semi-isotropic” random walks on the lamplighter group, i.e., the wreath product ℤq≀ℤ, where…”
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On unbounded invariant measures of stochastic dynamical systems
Published 04-06-2015“…Annals of Probability 2015, Vol. 43, No. 3, 1456-1492 We consider stochastic dynamical systems on ${\mathbb{R}}$, that is, random processes defined by…”
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On the affine recursion on $\mathbb R_+^d
Published 20-03-2020“…We fix $d \geq 2$ and denote $\mathcal S$ the semi-group of $d \times d$ matrices with non negative entries. We consider a sequence $(A_n, B_n)_{n \geq 1} $ of…”
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Poisson boundary of $GL_d(\Q)
Published 30-06-2009“…We construct the Poisson boundary for a random walk supported by the general linear group on the rational numbers as the product of flag manifolds over the…”
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The Poisson boundary of random rational affinities
Published 11-03-2004“…The group of affine transformations with rational coefficients acts naturally on the real line, but also on the $p$-adic fields. The aim of this note is to…”
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Poisson boundary for finitely generated groups of rational affinities
Published 11-03-2004“…The group of affine transformations with rational coefficients, $aff(Q)$, acts naturally on the real line, but also on the $p$-adic fields. The aim of this…”
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