Fractional diffusion on circulant networks: emergence of a dynamical small world
From MaRDI portal
Publication:3302336
DOI10.1088/1742-5468/2015/07/P07015zbMath1456.82837OpenAlexW2506076033MaRDI QIDQ3302336
Alejandro P. Riascos, José L. Mateos
Publication date: 11 August 2020
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1742-5468/2015/07/p07015
Random graphs (graph-theoretic aspects) (05C80) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)
Related Items
A measure of dissimilarity between diffusive processes on networks ⋮ A fractional generalization of the classical lattice dynamics approach ⋮ Efficient approach to time-dependent super-diffusive Lévy random walks on finite 2D-tori using circulant analogues ⋮ Compatibility, embedding and regularization of non-local random walks on graphs ⋮ On the Kemeny time for continuous-time reversible and irreversible Markov processes with applications to stochastic resetting and to conditioning towards forever-survival ⋮ Recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices ⋮ Fractional random walk lattice dynamics ⋮ Generalized fractional Poisson process and related stochastic dynamics ⋮ Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain ⋮ Random walks with long-range steps generated by functions of Laplacian matrices ⋮ Fractional dynamics on circulant multiplex networks: optimal coupling and long-range navigation for continuous-time random walks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Synchronization in complex networks of phase oscillators: a survey
- Navigation in spatial networks: a survey
- Stochastic foundations in movement ecology. Anomalous diffusion, front propagation and random searches
- Complex networks: structure and dynamics
- A Guide to First-Passage Processes
- Introduction to Complex Networks: Structure and Dynamics
- Navigability of interconnected networks under random failures
- Random Walks on Lattices. II
- Dynamical Processes on Complex Networks
- First passage and arrival time densities for Lévy flights and the failure of the method of images
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- First Steps in Random Walks
- Networks
- The random walk's guide to anomalous diffusion: A fractional dynamics approach