177 citations · 186 across the 6 of their papers we have counts for
6 papers
Almost-Sure Stability of the Single Mode Solution of a Noisy Nonlinear Autoparametric System
Peter H. Baxendale, N. Sri Namachchivaya
For a pendulum suspended below a vibrating block with white noise forcing, the solution in which the pendulum remains vertical is called the single mode solution. When this solutio…
Random concave functions
Peter Baxendale, Ting-Kam Leonard Wong
Spaces of convex and concave functions appear naturally in theory and applications. For example, convex regression and log-concave density estimation are important topics in nonpar…
Bounded size bias coupling: a Gamma function bound, and universal Dickman-function behavior
Richard Arratia, Peter Baxendale
Under the assumption that the distribution of a nonnegative random variable admits a bounded coupling with its size biased version, we prove simple and strong concentration bou…
T. E. Harris's contributions to recurrent Markov processes and stochastic flows
Peter Baxendale
This is a brief survey of T. E. Harris's work on recurrent Markov processes and on stochastic flows, and of some more recent work in these fields.
Uniform shrinking and expansion under isotropic Brownian flows
Peter Baxendale, Georgi Dimitroff
We study some finite time transport properties of isotropic Brownian flows. Under a certain nondegeneracy condition on the potential spectral measure, we prove that uniform shrinki…
Renewal theory and computable convergence rates for geometrically ergodic Markov chains
Peter H. Baxendale
We give computable bounds on the rate of convergence of the transition probabilities to the stationary distribution for a certain class of geometrically ergodic Markov chains. Our…