Branching random walks and Minkowski sum of random walks
Probability Theory and Related FieldsWe show that the range of a critical branching random walk conditioned to survive forever and the Minkowski sum of two independent simple random walk ranges are intersection-equivalent in any dimension d≥5$$d\ge 5$$, in the sense that they hit any finite set with comparable probability, as their common starting point is sufficiently far away from the ...
Asselah, Amine +3 more
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On the overlap distribution of Branching Random Walks
Electronic Journal of Probability, 2016 In this paper, we study the overlap distribution and Gibbs measure of the Branching Random Walk with Gaussian increments on a binary tree. We first prove that the Branching Random Walk is 1 step Replica Symmetry Breaking and give a precise form for its overlap distribution, verifying a prediction of Derrida and Spohn.
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A New Martingale in Branching Random Walk
The Annals of Applied Probability, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Tightness for Maxima of Generalized Branching Random Walks [PDF]
Journal of Applied Probability, 2012 We study generalized branching random walks on the real line R that allow time dependence and local dependence between siblings. Specifically, starting from one particle at time 0, the system evolves such that each particle lives for one unit amount of time, gives birth independently to a random number of offspring according to some branching law, and ...
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Minimal Positions in a Branching Random Walk
The Annals of Applied Probability, 1995 Particles in a supercritical Galton-Watson process have positions attached to them in the following way. The initial ancestor is at the origin; the first generation positions are given by a point process \(Z\); each \(n\)th generation person's family are placed, relative to the parent, using an independent copy of \(Z\).
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random walks in random environment and branching random walks
, 2009 This thesis deals with two models of random walks. The first model belongs to the family of random walks in random environment. In the case where the graph is a Galton-watson tree, we are interested in the asymptotic properties of the walk. When the walk is transient, we look at its speed.
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Modeling discourse structure with 2D similarity-based random walks for improved understanding of online conversations. [PDF]
Sci RepAlmahmoud Z +3 more
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The Scaling Limit of the Volume of Loop-<i>O</i>(<i>n</i>) Quadrangulations. [PDF]
Commun Math PhysAïdékon É, Da Silva W, Hu X.
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Superpixel Random Selection Random Walk Multi-Branch Depthwise Convolutional Neural Network for Hyperspectral Image Classification. [PDF]
Sensors (Basel)Zhang K, Jiang X, Cai Z.
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Application of a uniaxial force by pulling the skin around the mammary gland may affect the orientation of the ducts and the length of the mammary ductal network: Findings from computational modeling and laboratory experiments. [PDF]
PLoS Comput BiolUlloa D +6 more
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