1998/05/31 by Satya N. Majumdar, Alan J. Bray · 1 citation
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.81.2626
published as Phys. Rev. Lett. 81, 2626 (1998) · 5 pages, 2 figures, references added, to appear in Phys.Rev.Lett
arxiv created 1998/08/27 · arxiv updated 2009/11/30
We introduce a parameter p, called partial survival, in the persistence of stochastic processes and show that for smooth processes the persistence exponent θ(p) changes continuously with p, θ(0) being the usual persistence exponent. We compute θ(p) exactly for a one-dimensional deterministic coarsening model, and approximately for the diffusion equation. Finally we develop an exact, systematic series expansion for θ(p), in powers of ε=1-p, for a general Gaussian process with finite density of zero crossings.