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Reducing Search Lengths with Locally Precomputed Partial Random Walks
Random walk network search resource location search length
2011/8/18
Abstract: Random walks can be used to search a complex networks for a desired resource. To reduce the number of hops necessary to find the resource, we propose a search mechanism based on building ran...
Random walks on barycentric subdivisions and the Strichartz hexacarpet
Random walks barycentric subdivisions the Strichartz hexacarpet
2011/7/29
Abstract: We investigate the relation between simple random walks on repeated barycentric subdivisions of a triangle and a self-similar fractal, Strichartz hexacarpet, which we introduce. We explore a...
A new family of solvable Pearson-Dirichlet random walks
Pearson-Rayleigh random walks random flights Dirichlet distribution gamma distribution Gauss hypergeometric function Bessel numbers Inverse Laplace transform
2011/9/6
A n-step Pearson-Gamma random walk in dstarts at the origin and consists of n independent steps with gamma distributed lengths and uniform orientations. The gamma distribution of each step length has ...
Markov processes of infinitely many nonintersecting random walks
Markov processes nonintersecting random walk Probability
2011/7/27
Abstract: Consider an N-dimensional Markov chain obtained from N one-dimensional random walks by Doob h-transform with the q-Vandermonde determinant. We prove that as N becomes large, these Markov cha...
The extremely fascinating behaviors of the quantum walks of particles, which differ much from the classical counterparts, have attracted many physicists. Here we investigate another interesting part ...
Integrated photonic 3D waveguide arrays for quantum random walks on a circle
Integrated 3D waveguide quantum random circle
2010/11/5
Quantum random walks (QRWs) can be used to perform both quantum simulations and quantum algorithms. In order to exploit this potential, quantum walks on different types of graphs must be physically im...
Matrix valued Szego polynomials and quantum random walks
Matrix valued Szego polynomials quantum random walks
2010/4/8
We consider quantum random walks (QRW) on the integers, a subject that has been considered in the last few years in the framework of quantum computation. We show how the theory of CMV matrices gives a...
Some Limit Theorems for a Particle System of Single Point Catalytic Branching Random Walks
Renewal equation branching particle system scaling limit
2007/12/10
We study the scaling limit for a catalytic branching particle system whose particles perform random walks on ${\Bbb Z}$ and can branch at 0 only. Varying the initial (finite) number of particles, we g...
Variable Survival Exponents in History-Dependent Random Walks: Hard Movable Reflector
Variable Survival Exponents History-Dependent Random Walks Hard Movable Reflector
2010/10/28
We review recent studies demonstrating a nonuniversal (continuously variable) survival exponent for historydependent random walks, and analyze a new example, the hard movable partial reflector. These ...