2006, ISBN 0444527354, 279

The aim of this book is to report on the progress realized in probability theory in the field of dynamic random walks and to present applications in computer...

Random walks (Mathematics) | Mathematics | Stochastic processes

Random walks (Mathematics) | Mathematics | Stochastic processes

eBook

1993, Probability and its applications., ISBN 3764335890, xiv, 425

Book

Probability Surveys, ISSN 1549-5787, 2007, Volume 4, Issue 1, pp. 1 - 79

Probability Surveys 2007, Vol. 4, 1-79 The models surveyed include generalized P\'{o}lya urns, reinforced random walks, interacting urn models, and continuous...

Reinforced random walk | Urn model | Ṕolya's urn | VRRW | Dynamical system | Stochas-tic approximation | Self-avoiding walk | Agent-based model | Learning | Urn scheme | ERRW | Evo-lutionary game theory | Exchangeability | Lyapunov function | Mathematics - Probability

Reinforced random walk | Urn model | Ṕolya's urn | VRRW | Dynamical system | Stochas-tic approximation | Self-avoiding walk | Agent-based model | Learning | Urn scheme | ERRW | Evo-lutionary game theory | Exchangeability | Lyapunov function | Mathematics - Probability

Journal Article

2013, 1. Aufl., Modern Birkhauser classics, ISBN 1461460247, 435

The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple...

Self-avoiding walks (Mathematics) | Mathematics | Chemistry, Physical and theoretical | Statistical physics

Self-avoiding walks (Mathematics) | Mathematics | Chemistry, Physical and theoretical | Statistical physics

eBook

2006, Lecture notes in mathematics, ISBN 3540311890, Volume 1879, xiii, 228

Book

2005, 1st ed., ISBN 044451709X, 357

With the mapping of the partition function graphs of the n-vector magnetic model in the n to 0 limit as the self-avoiding walks, the conformational statistics...

Self-avoiding walks (Mathematics) | Mathematical models | Polymers | Random walks (Mathematics) | Statistics | Agriculture & Farming

Self-avoiding walks (Mathematics) | Mathematical models | Polymers | Random walks (Mathematics) | Statistics | Agriculture & Farming

eBook

03/2011

Self-avoiding walks on a d-dimensional hypercubic lattice are used to model a polymer interacting with a surface. One can choose to weight the walk by the...

self-avoiding walks | 0494 | polymer adsorption

self-avoiding walks | 0494 | polymer adsorption

Dissertation

Journal of Algebraic Combinatorics, ISSN 0925-9899, 2019

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 09/2019, Volume 946, p. 114696

Self-avoiding walks (SAWs) and loop-erased random walks (LERWs) are two ensembles of random paths with numerous applications in mathematics, statistical...

RENORMALIZATION-GROUP | 3-LOOP ORDER | SUPERSYMMETRY | SYMMETRY | CHARGE-DENSITY WAVES | DYNAMICS | SELF-AVOIDING WALK | FRACTAL DIMENSION | DISORDERED ELASTIC INTERFACES | CRITICAL EXPONENTS | PHYSICS, PARTICLES & FIELDS

RENORMALIZATION-GROUP | 3-LOOP ORDER | SUPERSYMMETRY | SYMMETRY | CHARGE-DENSITY WAVES | DYNAMICS | SELF-AVOIDING WALK | FRACTAL DIMENSION | DISORDERED ELASTIC INTERFACES | CRITICAL EXPONENTS | PHYSICS, PARTICLES & FIELDS

Journal Article

Probability Theory and Related Fields, ISSN 0178-8051, 10/2012, Volume 154, Issue 1, pp. 149 - 163

We investigate the asymptotic behaviour of a class of self-interacting nearest neighbour random walks on the one-dimensional integer lattice which are pushed...

Mathematical and Computational Biology | Theoretical, Mathematical and Computational Physics | Probability Theory and Stochastic Processes | Mathematics | Quantitative Finance | Local time | Trapping | Statistics for Business/Economics/Mathematical Finance/Insurance | Operations Research/Decision Theory | Self-interacting random walk | 60K37 | 60K99 | 60J55 | SELF-AVOIDING WALK | STATISTICS & PROBABILITY | REINFORCED RANDOM-WALK | Studies | Asymptotic methods | Random walk theory | Integers | Intervals | Asymptotic properties | Mathematical analysis | Lattices | Probability theory | Random walk | Mathematical models

Mathematical and Computational Biology | Theoretical, Mathematical and Computational Physics | Probability Theory and Stochastic Processes | Mathematics | Quantitative Finance | Local time | Trapping | Statistics for Business/Economics/Mathematical Finance/Insurance | Operations Research/Decision Theory | Self-interacting random walk | 60K37 | 60K99 | 60J55 | SELF-AVOIDING WALK | STATISTICS & PROBABILITY | REINFORCED RANDOM-WALK | Studies | Asymptotic methods | Random walk theory | Integers | Intervals | Asymptotic properties | Mathematical analysis | Lattices | Probability theory | Random walk | Mathematical models

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 06/2017, Volume 50, Issue 26, p. 264003

We implement a scale-free version of the pivot algorithm and use it to sample pairs of three-dimensional self-avoiding walks, for the purpose of efficiently...

pivot algorithm | self-avoiding walk | Monte Carlo | critical exponent

pivot algorithm | self-avoiding walk | Monte Carlo | critical exponent

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2015, Volume 48, Issue 45, pp. 454001 - 27

We study various self-avoiding walks (SAWs) which are constrained to lie in the upper half-plane and are subjected to a compressive force. This force is...

compressive force | bridges | self-avoiding walks | Schramm-Loewner evolution | self-avoiding polygons | DIMENSIONS | EXPONENTS | PHYSICS, MULTIDISCIPLINARY | SQUARE LATTICE | PHYSICS, MATHEMATICAL | Functions (mathematics) | Half spaces | Mathematical analysis | Evolution | Boundaries | Compressed | Saws | Polygons

compressive force | bridges | self-avoiding walks | Schramm-Loewner evolution | self-avoiding polygons | DIMENSIONS | EXPONENTS | PHYSICS, MULTIDISCIPLINARY | SQUARE LATTICE | PHYSICS, MATHEMATICAL | Functions (mathematics) | Half spaces | Mathematical analysis | Evolution | Boundaries | Compressed | Saws | Polygons

Journal Article

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 10/2019, Volume 52, Issue 40, p. 405001

We consider self-avoiding walks terminally attached to a surface at which they can adsorb. A force is applied, normal to the surface, to desorb the walk and we...

POLYMER-CHAIN | phase diagram | pulled self-avoiding walks | adsorbing self-avoiding walks | Monte Carlo | PHYSICS, MULTIDISCIPLINARY | SURFACE | PHYSICS, MATHEMATICAL

POLYMER-CHAIN | phase diagram | pulled self-avoiding walks | adsorbing self-avoiding walks | Monte Carlo | PHYSICS, MULTIDISCIPLINARY | SURFACE | PHYSICS, MATHEMATICAL

Journal Article

Discrete and Continuous Dynamical Systems - Series S, ISSN 1937-1632, 04/2017, Volume 10, Issue 2, pp. 289 - 311

We show that the 'erasing-larger-loops-first' (ELLF) method, which was first introduced for erasing loops from the simple random walk on the Sierpinski gasket,...

Loop-erased random walk | Fractal | Fractal dimension | Scaling limit | Sierpinski gasket | Displacement exponent | Self-avoiding walk | Self-repelling walk | MATHEMATICS, APPLIED | UNIFORM SPANNING-TREES | scaling limit | fractal dimension | fractal | PATHS | self-avoiding walk | displacement exponent | self-repelling walk

Loop-erased random walk | Fractal | Fractal dimension | Scaling limit | Sierpinski gasket | Displacement exponent | Self-avoiding walk | Self-repelling walk | MATHEMATICS, APPLIED | UNIFORM SPANNING-TREES | scaling limit | fractal dimension | fractal | PATHS | self-avoiding walk | displacement exponent | self-repelling walk

Journal Article

The European Physical Journal B, ISSN 1434-6028, 9/2017, Volume 90, Issue 9, pp. 1 - 5

Using the Monte Carlo simulation, we investigate a memory-impaired self-avoiding walk on a square lattice in which a random walker marks each of sites visited...

Condensed Matter Physics | Solid State Physics | Physics, general | Fluid- and Aerodynamics | Complex Systems | Physics | PHYSICS, CONDENSED MATTER | SELF-AVOIDING WALK | MOTION | STOCHASTIC TRANSPORT | MODEL | Monte Carlo method | Alzheimer's disease

Condensed Matter Physics | Solid State Physics | Physics, general | Fluid- and Aerodynamics | Complex Systems | Physics | PHYSICS, CONDENSED MATTER | SELF-AVOIDING WALK | MOTION | STOCHASTIC TRANSPORT | MODEL | Monte Carlo method | Alzheimer's disease

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2019, Volume 52, Issue 2, p. 25004

Flory-Huggins theory (Flory 1942 J. Chem. Phys. 10 51-61; Huggins 1942 J. Am. Chem. Soc. 64 2716-8) is a mean field theory for modelling the free energy of...

Flory interaction parameter | Confined self-avoiding walk | Flory-Huggins theory | Self-avoiding walk | Dense polymer | Osmotic pressure of self-avoiding walk | flory interaction parameter | POLYMERS | confined self-avoiding walk | PHYSICS, MULTIDISCIPLINARY | HUGGINS INTERACTION PARAMETER | self-avoiding walk | PHYSICS, MATHEMATICAL | DEPENDENCE | CHAIN | THERMODYNAMICS | dense polymer | osmotic pressure of self-avoiding walk

Flory interaction parameter | Confined self-avoiding walk | Flory-Huggins theory | Self-avoiding walk | Dense polymer | Osmotic pressure of self-avoiding walk | flory interaction parameter | POLYMERS | confined self-avoiding walk | PHYSICS, MULTIDISCIPLINARY | HUGGINS INTERACTION PARAMETER | self-avoiding walk | PHYSICS, MATHEMATICAL | DEPENDENCE | CHAIN | THERMODYNAMICS | dense polymer | osmotic pressure of self-avoiding walk

Journal Article

Open Systems and Information Dynamics, ISSN 1230-1612, 12/2018, Volume 25, Issue 4

A model of non-reversal quantum walk is introduced. The process is introduced in 1D and 2D using the formalism of open quantum walks (OQWs). In such a walk, a...

quantum channels | open quantum walks | Self-avoiding walks | open quantum systems | quantum trajectories | STATISTICS & PROBABILITY | PHYSICS, MATHEMATICAL

quantum channels | open quantum walks | Self-avoiding walks | open quantum systems | quantum trajectories | STATISTICS & PROBABILITY | PHYSICS, MATHEMATICAL

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2016, Volume 49, Issue 11, p. 11

We prove some theorems about self-avoiding walks attached to an impenetrable surface (i.e. positive walks) and subject to a force. Specifically we show the...

65C05 | adsorbing self-avoiding walk | free energy | 82B80 | phase diagram Mathematics Subject Classification: 82B41 | phase diagram | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Theorems | Mathematical models | Confining | Planes | Free energy | Convergence | Physics - Statistical Mechanics

65C05 | adsorbing self-avoiding walk | free energy | 82B80 | phase diagram Mathematics Subject Classification: 82B41 | phase diagram | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Theorems | Mathematical models | Confining | Planes | Free energy | Convergence | Physics - Statistical Mechanics

Journal Article

The Journal of Chemical Physics, ISSN 0021-9606, 07/2016, Volume 145, Issue 1, p. 014906

We study the winding angles of random and self-avoiding walks (SAWs) on square and cubic lattices with number of steps N ranging up to 107. We show that the...

DISTRIBUTIONS | CHEMISTRY, PHYSICAL | SELF-AVOIDING WALKS | PIVOT ALGORITHM | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Winding | Random walk theory | Cubic lattice | Random walk | Dependence | Convergence

DISTRIBUTIONS | CHEMISTRY, PHYSICAL | SELF-AVOIDING WALKS | PIVOT ALGORITHM | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Winding | Random walk theory | Cubic lattice | Random walk | Dependence | Convergence

Journal Article

Electronic Journal of Combinatorics, ISSN 1077-8926, 12/2017, Volume 24, Issue 4

The connective constant mu(G) of an infinite transitive graph G is the exponential growth rate of the number of self-avoiding walks from a given origin. The...

Spectral bottom | Indicable group | Amenable group | Spectral radius | Cayley graph | Grigorchuk group | Harmonic function | Self-avoiding walk | Group height function | Unimodularity | Baumslag-Solitar group | Elementary amenable group | Connective constant | Graph height function | Higman group | MATHEMATICS, APPLIED | PERCOLATION | amenable group | harmonic function | indicable group | connective constant | group height function | CONNECTIVE CONSTANTS | unimodularity | MATHEMATICS | spectral bottom | AMENABLE-GROUPS | graph height function | spectral radius | elementary amenable group | LATTICE | CAYLEY-GRAPHS

Spectral bottom | Indicable group | Amenable group | Spectral radius | Cayley graph | Grigorchuk group | Harmonic function | Self-avoiding walk | Group height function | Unimodularity | Baumslag-Solitar group | Elementary amenable group | Connective constant | Graph height function | Higman group | MATHEMATICS, APPLIED | PERCOLATION | amenable group | harmonic function | indicable group | connective constant | group height function | CONNECTIVE CONSTANTS | unimodularity | MATHEMATICS | spectral bottom | AMENABLE-GROUPS | graph height function | spectral radius | elementary amenable group | LATTICE | CAYLEY-GRAPHS

Journal Article

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