1999/12/01 by Michael F. Shlesinger, J. Klafter, G. Zumofen · 2 citations
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · Mathematics · #Diffusion and Search Dynamics #Theoretical and Computational Physics #Stochastic processes and statistical mechanics #Physics #Brownian motion #Statistical physics #Random walk #Jump #Diffusion process #Scaling #Stochastic process #Scaling law #Classical mechanics #Geometric Brownian motion #Diffusion #Simple (philosophy) #Mathematics #Quantum mechanics #Innovation diffusion #Statistics #Computer science #Geometry
paper · doi:10.1119/1.19112
openalex publication_date 1999/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
Brownian motion represents simple diffusion random walk processes. More complex random walk processes also can occur when probability distributions describing the random jump distances and times have infinite moments. We explore the manner in which these distributions can arise and how they underlie various scaling laws that play an important role in both random and deterministic systems.