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- Bar-Ilan UniversityIL5 papers
- Los Alamos National LaboratoryUS5 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Florida State UniversityUS3 papers
- Max Planck Institute for the Physics of Complex SystemsDE3 papers
- Mississippi State UniversityUS3 papers
- Northeastern UniversityUS3 papers
- Boston UniversityUS2 papers
- Kazan Federal UniversityRU2 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR2 papers
- Laboratoire National des Champs Magnétiques IntensesFR2 papers
- Michigan State UniversityUS2 papers
6 papers · 2 filters
Fractal and Transfractal Recursive Scale-Free Nets
Hernan D. Rozenfeld, Shlomo Havlin, Daniel ben-Avraham
We explore the concepts of self-similarity, dimensionality, and (multi)scaling in a new family of recursive scale-free nets that yield themselves to exact analysis through renormal…
Kleinberg Navigation in Fractal Small World Networks
Mickey R. Roberson, Daniel ben-Avraham
We study the Kleinberg problem of navigation in Small World networks when the underlying lattice is a fractal consisting of N>>1 nodes. Our extensive numerical simulations confirm…
Diffusion-Limited One-Species Reactions in the Bethe Lattice
Daniel ben-Avraham, M. Lawrence Glasser
We study the kinetics of diffusion-limited coalescence, A+A-->A, and annihilation, A+A-->0, in the Bethe lattice of coordination number z. Correlations build up over time so that t…
Imaging geometry through dynamics: the observable representation
Bernard Gaveau, Lawrence S. Schulman, Leonard J. Schulman
For many stochastic processes there is an underlying coordinate space, , with the process moving from point to point in or on variables (such as spin configurations) defined…
Multiple phases in stochastic dynamics: geometry and probabilities
B. Gaveau, L. S. Schulman
Stochastic dynamics is generated by a matrix of transition probabilities. Certain eigenvectors of this matrix provide observables, and when these are plotted in the appropriate mul…
Stability of quantum breathers
L. S. Schulman, D. Tolkunov, E. Mihokova
Using two methods we show that a quantized discrete breather in a 1-D lattice is stable. One method uses path integrals and compares correlations for a (linear) local mode with tho…