Fractional dynamics on networks and lattices

Fractional dynamics on networks and lattices / Thomas Michelitsch, Alejandro Pérez Riascos, Bernard Collet, Andrzej Nowakowski, Franck Nicolleau.

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...

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Bibliographic Details
Main Authors: Michelitsch, Thomas (Author), Pérez Riascos, Alejandro (Author), Collet, Bernard (Author), Nowakowski, Andrzej (Author), Nicolleau, F. C. G. A. (Frank C. G. A.) (Author)
Format: eBook
Language:English
Published: London : Hoboken : ISTE Ltd. ; John Wiley & Sons, Inc., 2019.
Series:Mechanical engineering and solid mechanics series.
Subjects:
Markov processes.
Random walks (Mathematics)
MATHEMATICS > Applied.
MATHEMATICS > Probability & Statistics > General.
Markov processes
Online Access:Click for online access
Table of Contents:
  • PART 1. Dynamics on General Networks
  • 1. Characterization of Networks: the Laplacian Matrix and its Functions
  • 2. The Fractional Laplacian of Networks
  • 3. Markovian Random Walks on Undirected Networks
  • 4. Random Walks with Long-range Steps on Networks
  • 5. Fractional Classical and Quantum Transport on Nnetwork
  • 5. Fractional Classical and Quantum Transport on Networks
  • Part 2. Dynamics on Lattices
  • 6. Explicit Evaluation of the Fractional Matrix of Rings
  • 7. Recurrence and Transience of the "Fractional Random Walk"
  • 8. Asymptotic Behavior of Markovian Random walks Generated by Laplacian Matrix Functions.

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