Search Results - "Kious, Daniel"
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1
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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SCALING LIMITS FOR SUB-BALLISTIC BIASED RANDOM WALKS IN RANDOM CONDUCTANCES
Published in The Annals of probability (01-03-2018)“…We consider biased random walks in positive random conductances on the d-dimensional lattice in the zero-speed regime and study their scaling limits. We obtain…”
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PHASE TRANSITION FOR THE ONCE-REINFORCED RANDOM WALK ON ℤͩ-LIKE TREES
Published in The Annals of probability (01-07-2018)“…In this short paper, we consider the Once-reinforced random walk with reinforcement parameter a on trees with bounded degree which are transient for the simple…”
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4
STUCK WALKS: A CONJECTURE OF ERSCHLER, TÓTH AND WERNER
Published in The Annals of probability (01-03-2016)“…In this paper, we work on a class of self-interacting nearest neighbor random walks, introduced in [Probab. Theory Related Fields 154 (2012) 149-163], for…”
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5
Phase transition for the Once-reinforced random walk on $\mathbb{Z}^{d}$-like trees
Published in The Annals of probability (01-07-2018)Get full text
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6
Phase transition for the Once-reinforced random walk on Z^sup d^-like trees
Published in The Annals of probability (01-07-2018)“…In this short paper, we consider the Once-reinforced random walk with reinforcement parameter a on trees with bounded degree which are transient for the simple…”
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7
Finding geodesics on graphs using reinforcement learning
Published in The Annals of applied probability (01-10-2022)“…It is well known in biology that ants are able to find shortest paths between their nest and the food by successive random explorations, without any mean of…”
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8
Local trapping for elliptic random walks in random environments in
Published in Probability theory and related fields (01-08-2016)“…(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image).We consider elliptic random walks in i.i.d. random environments on ... The main…”
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9
Local trapping for elliptic random walks in random environments in $$\mathbb {Z}^d
Published in Probability theory and related fields (01-08-2016)Get full text
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10
Random Walk on the Simple Symmetric Exclusion Process
Published in Communications in mathematical physics (01-10-2020)“…We investigate the long-term behavior of a random walker evolving on top of the simple symmetric exclusion process (SSEP) at equilibrium, in dimension one. At…”
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11
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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12
Scaling limit of critical random trees in random environment
Published in Electronic journal of probability (01-01-2024)Get full text
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13
The trace-reinforced ants process does not find shortest paths
Published in Journal de l'École polytechnique. Mathématiques (01-01-2022)“…In this paper, we study a probabilistic reinforcement-learning model for ants searching for the shortest path(s) between their nest and a source of food. In…”
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14
Local trapping for elliptic random walks in random environments in Zd
Published in Probability theory and related fields (01-08-2016)“…We consider elliptic random walks in i.i.d. random environments on Z d . The main goal of this paper is to study under which ellipticity conditions local…”
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15
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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16
Explicit formula for the density of local times of Markov jump processes
Published in Electronic communications in probability (01-01-2018)Get full text
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17
Aging and sub-aging for one-dimensional random walks amongst random conductances
Published 04-08-2023“…We consider random walks amongst random conductances in the cases where the conductances can be arbitrarily small, with a heavy-tailed distribution at 0, and…”
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18
Sharp threshold for the ballisticity of the random walk on the exclusion process
Published 03-09-2024“…We study a non-reversible random walk advected by the symmetric simple exclusion process, so that the walk has a local drift of opposite sign when sitting atop…”
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19
Scaling limit of critical random trees in random environment
Published 22-09-2022“…We consider Bienaym\'e-Galton-Watson trees in random environment, where each generation $k$ is attributed a random offspring distribution $\mu_k$, and…”
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20
Fluctuation bounds for symmetric random walks on dynamic environments via Russo-Seymour-Welsh
Published 12-04-2023“…In this article, we prove a lower bound for the fluctuations of symmetric random walks on dynamic random environments in dimension $1 + 1$ in the perturbative…”
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