92 citations · 218 across the 8 of their papers we have counts for
Showing 2001 · cond-mat.stat-mechShow all
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cond-mat.stat-mech2001★ 17 cited
Persistence of a Continuous Stochastic Process with Discrete-Time Sampling: Non-Markov Processes
George C. M. A. Ehrhardt, Alan J. Bray, Satya N. Majumdar
We consider the problem of `discrete-time persistence', which deals with the zero-crossings of a continuous stochastic process, X(T), measured at discrete times, T = n(ΔT). For a G…
cond-mat.stat-mech2001★ 13 cited
Series Expansion Calculation of Persistence Exponents
George C. M. A Ehrhardt, Alan J. Bray
We consider an arbitrary Gaussian Stationary Process X(T) with known correlator C(T), sampled at discrete times T_n = n ΔT. The probability that (n+1) consecutive values of X have…