1995/03/15 by Thomas Wichmann, Achille Giacometti, K. P. N. Murthy · 1 citation
Mathematics · Physics and Astronomy · #Anomalous diffusion #Computer science #Ergodic theory #Fractal #Invariant (physics) #Invariant measure #Iterated function #Iterated function system #Jump #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Measure (data warehouse) #Multifractal system #Nonlinear system #Physics #Probability measure #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Trapping #cond-mat #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.52.481
10 pages in Revtex (version 3.0) + 7 postscript figures available by email on request from [email protected], submitted to Phys. Rev. E.
arxiv created 1995/03/15 · openalex publication_date 1995/07/01 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The escape probability \ensuremathξx from a site x of a one-dimensional disordered lattice with trapping is treated as a discrete dynamical evolution by random iterations over nonlinear maps parametrized by the right and left jump probabilities. The invariant measure of the dynamics is found to be a multifractal. However the measure becomes uniform over the support when the disorder becomes weak for any nonzero trapping probability. Possible implications of our findings to diffusion processes are brought out briefly.