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Mixing time of random walk on dynamical random cluster
We study the mixing time of a random walker who moves inside a dynamical random cluster model on the d -dimensional torus of side-length n . In this...
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On Asymptotic Behavior of Mean Values of Some Functionals on Branching Random Walk
The problem of asymptotic behavior of the expectation of a pairwise interaction type functional on branching random walk is considered.
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Quantitative Russo–Seymour–Welsh for Random Walk on Random Graphs and Decorrelation of Uniform Spanning Trees
We prove a quantitative Russo–Seymour–Welsh (RSW)-type result for random walks on two natural examples of random planar graphs: the supercritical...
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Free boundary dimers: random walk representation and scaling limit
We study the dimer model on subgraphs of the square lattice in which vertices on a prescribed part of the boundary (the free boundary) are possibly...
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A biased random walk approach for modeling the collective chemotaxis of neural crest cells
Collective cell migration is a multicellular phenomenon that arises in various biological contexts, including cancer and embryo development....
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Bounded Cutoff Window for the Non-backtracking Random Walk on Ramanujan Graphs
We prove that the non-backtracking random walk on Ramanujan graphs with large girth exhibits the fastest possible cutoff with a bounded window.
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Scenery reconstruction for random walk on random scenery systems
Consider a simple random walk on ℤ with a random coloring of ℤ. Look at the sequence of the first N steps taken in the random walk, together with the...
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Mathematical Model of Random Walk of Halloysite Nanotubes
AbstractIn our work, we consider a probability model for the formation of agglomerates from two and three halloysite nanotubes in a diluted...
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Rearrangements of the Simple Random Walk
In this paper we will look at representations of the simple random walk, \(S_{n}\)...
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Energy of Taut Strings Accompanying a Wiener Process and Random Walk in a Band of Variable Width
The kinetic energy of taut strings accompanying the trajectory of a Wiener process or a random walk in a band of growing width is considered. It is...
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Statistical and transport properties of a one-dimensional random walk with periodically distributed trap** intervals
Following the kind invitation of the organizers of the Fourth DinAmicI Day, I gave on December, 17, 2021, a talk concerning the study of a random...
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An effective link prediction method in multiplex social networks using local random walk towards dependable pathways
Link Prediction Problem (LPP) is defined as the likelihood of a future connection between two nodes on a network that does not currently have a link...
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