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Minima in branching random walks
 Annals of Probability, 37(3): 1044–1079
, 2009
"... Given a branching random walk, let Mn be the minimum position of any member of the nth generation. We calculate EMn to within O(1) and prove exponential tail bounds for P{Mn −EMn > x}, under quite general conditions on the branching random walk. In particular, together with work by Bramson [Z. ..."
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Cited by 27 (1 self)
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Given a branching random walk, let Mn be the minimum position of any member of the nth generation. We calculate EMn to within O(1) and prove exponential tail bounds for P{Mn −EMn > x}, under quite general conditions on the branching random walk. In particular, together with work by Bramson [Z
Maxima of Branching Random Walks
, 1983
"... Summary. In recent years several authors have obtained limit theorems for Ln, the location of the rightmost particle in a supercritical branching random walk but all of these results have been proved under the assumption that the offspring distribution has (p(O)=.fexp(Ox)dF(x)<oo f r some 0>0 ..."
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Summary. In recent years several authors have obtained limit theorems for Ln, the location of the rightmost particle in a supercritical branching random walk but all of these results have been proved under the assumption that the offspring distribution has (p(O)=.fexp(Ox)dF(x)<oo f r some 0>
APPROXIMATING CRITICAL PARAMETERS OF BRANCHING RANDOM WALKS
"... Approximating critical parameters of branching random walks ..."
Branching Random Walks on Graphs
"... We study a new distributed randomized information propagation mechanism in networks that we call a branching random walk (BRW). BRW is a generalization of the wellstudied “standard ” random walk which is a fundamental primitive useful in a wide variety of network applications ranging from token man ..."
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We study a new distributed randomized information propagation mechanism in networks that we call a branching random walk (BRW). BRW is a generalization of the wellstudied “standard ” random walk which is a fundamental primitive useful in a wide variety of network applications ranging from token
On the trace of branching random walks
 Groups, Geometry, and Dynamics, http://arxiv.org/abs/1002.2781v2
, 2010
"... ar ..."
Approximating critical parameters of branching random walks
"... Abstract. Given a branching random walk on a graph, we consider two kinds of truncations: either by inhibiting the reproduction outside a subset of vertices or by allowing at most m particles per vertex. We investigate the convergence of weak and strong critical parameters of these truncated branchi ..."
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Cited by 8 (7 self)
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Abstract. Given a branching random walk on a graph, we consider two kinds of truncations: either by inhibiting the reproduction outside a subset of vertices or by allowing at most m particles per vertex. We investigate the convergence of weak and strong critical parameters of these truncated
Regular variation in the branching random walk
, 2006
"... Let {Mn, n = 0, 1,...} be the supercritical branching random walk starting with one initial ancestor located at the origin of the real line. For n = 0, 1,... let Wn be the moment generating function of Mn normalized by its mean. Denote by AWn any of the following random variables: maximal function, ..."
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Let {Mn, n = 0, 1,...} be the supercritical branching random walk starting with one initial ancestor located at the origin of the real line. For n = 0, 1,... let Wn be the moment generating function of Mn normalized by its mean. Denote by AWn any of the following random variables: maximal function
BRANCHING RANDOM WALKS AND GAUSSIAN FIELDS Notes for Lectures
, 2012
"... These lecture notes are designed to accompany a minicourse on extrema of branching random walks (BRW) and Gaussian fields. The first half of this sentence, extrema of branching random walks, is of course a classical topic. The “modern ” part of the theory, which can be traced back to the work of ..."
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Cited by 3 (0 self)
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These lecture notes are designed to accompany a minicourse on extrema of branching random walks (BRW) and Gaussian fields. The first half of this sentence, extrema of branching random walks, is of course a classical topic. The “modern ” part of the theory, which can be traced back to the work of
Results 1  10
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11,888