Search Results - "Collevecchio, Andrea"
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A Class of Non-Reversible Hypercube Long-Range Random Walks and Bernoulli Autoregression
Published in Journal of theoretical probability (01-03-2023)“…We study a large class of long-range random walks which take values on the vertices of an N -dimensional hypercube. These processes are connected with…”
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The Branching‐Ruin Number and the Critical Parameter of Once‐Reinforced Random Walk on Trees
Published in Communications on pure and applied mathematics (01-01-2020)“…The motivation for this paper is the study of the phase transition for recurrence/ transience of a class of self‐interacting random walks on trees, which…”
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ON A PREFERENTIAL ATTACHMENT AND GENERALIZED PÓLYA'S URN MODEL
Published in The Annals of applied probability (01-06-2013)“…We study a general preferential attachment and Pólya's urn model. At each step a new vertex is introduced, which can be connected to at most one existing…”
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Phase transitions for edge-reinforced random walks on the half-line
Published in Electronic communications in probability (01-01-2019)Get full text
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Limit theorems for vertex-reinforced jump processes on regular trees
Published in Electronic journal of probability (01-01-2009)Get full text
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Limit theorems for reinforced random walks on certain trees
Published in Probability theory and related fields (01-09-2006)“…Consider a linearly edge-reinforced random walk defined on the b-ary tree, b</70. We prove the strong law of large numbers for the distance of this process…”
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A note on recurrence of the Vertex reinforced jump process and fractional moments localization
Published in Electronic journal of probability (01-01-2021)“…We give a simple proof for recurrence of vertex reinforced jump process on \(\mathbb{Z}^d\), under strong reinforcement. Moreover, we show how the previous…”
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When “Better” is better than “Best”
Published in Operations research letters (01-03-2021)“…We consider two-player normal form games where each player has the same finite strategy set. The payoffs of each player are assumed to be i.i.d. random…”
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On the Transience of Processes Defined on Galton-Watson Trees
Published in The Annals of probability (01-05-2006)“…We introduce a simple technique for proving the transience of certain processes defined on the random tree$\scr{G}$generated by a supercritical branching…”
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Limit theorems and ergodicity for general bootstrap random walks
Published in Electronic journal of probability (01-01-2022)Get full text
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Vertex-reinforced jump process on the integers with nonlinear reinforcement
Published in The Annals of applied probability (01-08-2022)“…We consider a nonlinear vertex-reinforced jump process (VRJP(w)) on Z with an increasing measurable weight function w : [1, ∞) → [1, ∞) and initial weights…”
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Bootstrap random walks
Published in Stochastic processes and their applications (01-06-2016)“…Consider a one dimensional simple random walk X=(Xn)n≥0. We form a new simple symmetric random walk Y=(Yn)n≥0 by taking sums of products of the increments of X…”
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On the speed of once-reinforced biased random walk on trees
Published in Electronic journal of probability (01-01-2018)Get full text
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Long range one-cookie random walk with positive speed
Published in Stochastic processes and their applications (01-12-2021)“…We study one-dimensional excited random walks with non-nearest neighbour jumps. When the process is at a vertex that has not been visited before, its next…”
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A deterministic walk on the randomly oriented Manhattan lattice
Published in Electronic journal of probability (01-01-2019)Get full text
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The Worm Process for the Ising Model is Rapidly Mixing
Published in Journal of statistical physics (01-09-2016)“…We prove rapid mixing of the worm process for the zero-field ferromagnetic Ising model, on all finite connected graphs, and at all temperatures. As a…”
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Longest paths in random Apollonian networks and largest r-ary subtrees of random d-ary recursive trees
Published in Journal of applied probability (01-09-2016)“…Let r and d be positive integers with r<d. Consider a random d-ary tree constructed as follows. Start with a single vertex, and in each time-step choose a…”
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The branching-ruin number as critical parameter of random processes on trees
Published in Electronic journal of probability (01-01-2019)Get full text
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Bounds on the speed and on regeneration times for certain processes on regular trees
Published in The Annals of applied probability (01-06-2011)“…We develop a technique that provides a lower bound on the speed of transient random walk in a random environment on regular trees. A refinement of this…”
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BOUNDS ON THE SPEED AND ON REGENERATION TIMES FOR CERTAIN PROCESS ON REGULAR TREES
Published in The Annals of applied probability (01-06-2011)“…We develop a technique that provides a lower bound on the speed of transient random walk in a random environment on regular trees. A refinement of this…”
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