Search Results - "Fribergh, Alexander"
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1
Historical Lattice Trees
Published in Communications in mathematical physics (2023)“…We prove that the rescaled historical processes associated to critical spread-out lattice trees in dimensions d > 8 converge to historical Brownian motion…”
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2
Phase Transition for the Speed of the Biased Random Walk on the Supercritical Percolation Cluster
Published in Communications on pure and applied mathematics (01-02-2014)“…We prove the sharpness of the phase transition for the speed in biased random walk on the supercritical percolation cluster on ℤd. That is, for each d ≥ 2, and…”
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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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4
Scaling Limit for the Ant in High‐Dimensional Labyrinths
Published in Communications on pure and applied mathematics (01-04-2019)“…We study here a detailed conjecture regarding one of the most important cases of anomalous diffusion, i.e., the behavior of the “ant in the labyrinth.” It is…”
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5
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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6
THE SPEED OF A BIASED RANDOM WALK ON A PERCOLATION CLUSTER AT HIGH DENSITY
Published in The Annals of probability (01-09-2010)“…We study the speed of a biased random walk on a percolation cluster on ℤ d in function of the percolation parameter p. We obtain a first order expansion of the…”
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7
Scaling limit for the ant in a simple high-dimensional labyrinth
Published in Probability theory and related fields (01-06-2019)“…We prove that, after suitable rescaling, the simple random walk on the trace of a large critical branching random walk in Z d converges to the Brownian motion…”
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8
Lyons-Pemantle-Peres Monotonicity Problem for High Biases
Published in Communications on pure and applied mathematics (01-04-2014)“…The speed v(β) of a β‐biased random walk on a Galton‐Watson tree without leaves is increasing for β ≥ 1160. © 2014 Wiley Periodicals, Inc…”
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9
On slowdown and speedup of transient random walks in random environment
Published in Probability theory and related fields (01-05-2010)“…We consider one-dimensional random walks in random environment which are transient to the right. Our main interest is in the study of the sub-ballistic regime,…”
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10
BIASED RANDOM WALK IN POSITIVE RANDOM CONDUCTANCES ON ℤd
Published in The Annals of probability (01-11-2013)“…We study the biased random walk in positive random conductances on ℤd. This walk is transient in the direction of the bias. Our main result is that the random…”
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11
Biased random walk in positive random conductances on Z^sup d
Published in The Annals of probability (01-11-2013)“…We study the biased random walk in positive random conductances on Zd. This walk is transient in the direction of the bias. Our main result is that the random…”
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12
Biased random walk in positive random conductances on $\mathbb{Z}^{d}
Published in The Annals of probability (01-11-2013)“…We study the biased random walk in positive random conductances on \mathbb{Z}^{d}. This walk is transient in the direction of the bias. Our main result is that…”
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13
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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14
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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15
BIASED RANDOM WALKS ON GALTON—WATSON TREES WITH LEAVES
Published in The Annals of probability (01-01-2012)“…We consider a biased random walk X n on a Galton—Watson tree with leaves in the sub-ballistic regime. We prove that there exists an explicit constant γ = γ(β)…”
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16
Sharp asymptotics for finite point-to-plane connections in supercritical bond percolation in dimension at least three
Published 29-08-2024“…We consider supercritical bond percolation in $\mathbb{Z}^d$ for $d \geq 3$. The origin lies in a finite open cluster with positive probability, and, when it…”
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17
Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime
Published 14-10-2022“…We consider a biased random walk in positive random conductances on $\mathbb{Z}^d$ for $d\geq 5$. In the sub-ballistic regime, we prove the quenched…”
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18
Biased random walk on the interlacement set
Published 24-04-2017“…ANNALES DE L'INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, v. 54, p. 1341-1358, 2018 We study a biased random walk on the interlacement set of…”
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19
Scaling limits for sub-ballistic biased random walks in random conductances
Published 05-01-2016“…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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20
Random Memory Walk
Published 16-04-2020“…We present a simple model of a random walk with partial memory, which we call the \emph{random memory walk}. We introduce this model motivated by the belief…”
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