13 citations · 28 across the 10 of their papers we have counts for
11 papers
Joint Statistics of Random Walk on and Accumulation of Visits
Jerome K. Percus, Ora E. Percus
We obtain the joint distribution of the location of a one-dimensional symmetric next neighbor random walk on the integer lattice, and the number of times the wal…
Reinforced Brownian Motion on the Half-Line
Jerome K. Percus, Ora E. Percus
We analyze the Brownian Motion limit of a prototypical unit step reinforced random-walk on the half line. A reinforced random walk is one which changes the weight of any edge (or v…
The maximum of a symmetric next neighbor walk on the non-negative integers
Jerome K. Percus, Ora E. Percus
We consider a one-dimensional discrete symmetric random walk with a reflecting boundary at the origin. Generating functions are found for the 2- dimensional probability distributio…
Phase space reduction of the one-dimensional Fokker-Planck (Kramers) equation
Pavol Kalinay, Jerome K. Percus
A pointlike particle of finite mass m, moving in a one-dimensional viscous environment and biased by a spatially dependent force, is considered. We present a rigorous mapping of th…
Hard-Sphere Fluids with Chemical Self-Potentials
Michael K. -H. Kiessling, Jerome K. Percus
Existence, uniqueness and stability of solutions is studied for a set of nonlinear fixed point equations which define self-consistent hydrostatic equilibria of a classical continuu…
Extrapolation of Threshold-Limited Null Measurement Frequencies
O. E. Percus, J. K. Percus
The total measurable level of a pathogen is due to many sources, which produce a variety of pulses, overlapping in time, that rise suddenly and then decay. What is measured is the…