Random Walks on Homeo(S1)
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-2996-5
Abstract: In this paper, we study random walks $${g_n=f_{n-1}\ldots f_0}$$gn=fn-1…f0 on the group Homeo (S1) of the homeomorphisms of the circle, where the homeomorphisms fk are chosen randomly, independently, with respect to a same probability measure… read more here.
Keywords: walks homeo; random walks;
Dynamics of Nonlinear Random Walks on Complex Networks
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DOI: 10.1007/s00332-018-9521-7
Abstract: In this paper, we study the dynamics of nonlinear random walks. While typical random walks on networks consist of standard Markov chains whose static transition probabilities dictate the flow of random walkers through the network,… read more here.
Keywords: dynamics nonlinear; state fixed; random walks; nonlinear random ... See more keywords
Understanding nonsense correlation between (independent) random walks in finite samples
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DOI: 10.1007/s00362-021-01237-0
Abstract: Consider two independent random walks. By chance, there will be spells of association between them where the two processes move in the same direction, or in opposite direction. We compute the probabilities of the length… read more here.
Keywords: nonsense correlation; random walks; understanding nonsense; correlation independent ... See more keywords
Scaling exponents of step-reinforced random walks
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DOI: 10.1007/s00440-020-01008-2
Abstract: Let $$X_1, X_2, \ldots $$ X 1 , X 2 , … be i.i.d. copies of some real random variable X . For any deterministic $$\varepsilon _2, \varepsilon _3, \ldots $$ ε 2 , ε… read more here.
Keywords: reinforced random; random walks; scaling exponents; exponents step ... See more keywords
Isoperimetric profiles and random walks on some groups defined by piecewise actions
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DOI: 10.1007/s00440-021-01067-z
Abstract: We study the isoperimetric and spectral profiles of certain families of finitely generated groups defined via actions on labelled Schreier graphs and simple gluing of such. In one of our simplest constructions—the pocket-extension of a… read more here.
Keywords: groups defined; isoperimetric profiles; profiles random; defined piecewise ... See more keywords
Mixing of fast random walks on dynamic random permutations
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DOI: 10.1007/s00440-025-01375-8
Abstract: We analyse the mixing profile of a random walk on a dynamic random permutation, focusing on the regime where the walk evolves much faster than the permutation. Two types of dynamics generated by random transpositions… read more here.
Keywords: random walks; fast random; mixing fast; permutation ... See more keywords
Open Quantum Random Walks on the Half-Line: The Karlin–McGregor Formula, Path Counting and Foster’s Theorem
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DOI: 10.1007/s10955-017-1876-x
Abstract: In this work we consider open quantum random walks on the non-negative integers. By considering orthogonal matrix polynomials we are able to describe transition probability expressions for classes of walks via a matrix version of… read more here.
Keywords: quantum; karlin mcgregor; quantum random; random walks ... See more keywords
The End Time of SIS Epidemics Driven by Random Walks on Edge-Transitive Graphs
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DOI: 10.1007/s10955-020-02547-7
Abstract: Network epidemics is a ubiquitous model that can represent different phenomena and finds applications in various domains. Among its various characteristics, a fundamental question concerns the time when an epidemic stops propagating. We investigate this… read more here.
Keywords: sis; edge transitive; time; transitive graphs ... See more keywords
Multi-Dimensional Random Walks and Integrable Phase Models
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DOI: 10.1007/s10958-017-3405-5
Abstract: We consider random multi-dimensional lattice walks bounded by a hyperplane, calling them walks over multi-dimensional simplicial lattices. We demonstrate that generating functions of these walks are dynamical correlation functions of a certain type of exactly… read more here.
Keywords: phase; dimensional random; multi dimensional; random walks ... See more keywords
Asymptotic Behavior of Branching Random Walks on Some Two-Dimensional Lattices
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DOI: 10.1007/s10958-020-05074-8
Abstract: A branching random walk on two-dimensional lattices corresponding to graphene and stanene is considered. It is assumed that sources of branching are located on lattices periodically. An asymptotics of the mean value of particles in… read more here.
Keywords: asymptotic behavior; behavior branching; two dimensional; dimensional lattices ... See more keywords
Role extraction by matrix equations and generalized random walks
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DOI: 10.1007/s11075-025-02155-0
Abstract: The nodes in a network can be grouped into ’roles’ based on similar connection patterns. This is usually achieved by defining a pairwise node similarity matrix and then clustering rows and columns of this matrix.… read more here.
Keywords: random walks; role; role extraction; matrix equations ... See more keywords