Fractional Dynamics on Networks and Lattices is popular PDF and ePub book, written by Thomas Michelitsch in 2019-04-09, it is a fantastic choice for those who relish reading online the Technology & Engineering genre. Let's immerse ourselves in this engaging Technology & Engineering book by exploring the summary and details provided below. Remember, Fractional Dynamics on Networks and Lattices can be Read Online from any device for your convenience.
Fractional Dynamics on Networks and Lattices Book PDF Summary
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.
Detail Book of Fractional Dynamics on Networks and Lattices PDF
- Author : Thomas Michelitsch
- Release : 09 April 2019
- Publisher : John Wiley & Sons
- ISBN : 9781119608202
- Genre : Technology & Engineering
- Total Page : 200 pages
- Language : English
- PDF File Size : 11,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Fractional Dynamics on Networks and Lattices by Thomas Michelitsch, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.