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Fractional Dynamics on Networks and Lattices by Thomas Michelitsch at Abbey's Bookshop,
Fractional Dynamics on Networks and Lattices
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Thomas Michelitsch Alejandro Perez Riascos

Fractional Dynamics on Networks and Lattices

Thomas Michelitsch,  Alejandro Perez Riascos,  Bernard Collet ,  Andrzej Nowakowski

$295.95

Hardback

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English
ISTE Ltd and John Wiley & Sons Inc
17 April 2019
Engineering graphics & technical drawing
This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach.

Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian matrix that maintain the stochasticity of the transition probabilities. A major result is that only two types of functions are admissible: type (i) functions generate asymptotically local walks with the emergence of Brownian motion, whereas type (ii) functions generate asymptotically scale-free non-local “fractional” walks with the emergence of Lévy flights.

In Part 2, fractional dynamics and Lévy flight behavior are analyzed thoroughly, and a generalization of Pólya's classical recurrence theorem is developed for fractional walks. The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct nodes visited, etc. The results show the improved search capacities of fractional dynamics on networks.
By:   , , , ,
Imprint:   ISTE Ltd and John Wiley & Sons Inc
Country of Publication:   United Kingdom
Dimensions:   Height: 239mm,  Width: 160mm,  Spine: 23mm
Weight:   612g
ISBN:   9781786301581
ISBN 10:   178630158X
Pages:   336
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

Thomas Michelitsch is a CNRS Senior Research Scientist at the Institut Jean le Rond d'Alembert, Sorbonne University, France. Alejandro Pérez Riascos is a Researcher and Associate Professor at the Institute of Physics at the Universidad Nacional Autonoma de México. Bernard Collet is Emeritus Professor at the Institut Jean le Rond d'Alembert, Sorbonne University, France. Andrzej Nowakowski is a Lecturer at the University of Sheffield, UK. Franck Nicolleau is a Senior Lecturer at the University of Sheffield, UK, and Head of the Sheffield Fluid Mechanics Group.

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