Search Results - "Baxendale, Peter"

Renewal Theory and Computable Convergence Rates for Geometrically Ergodic Markov Chains by Baxendale, Peter H.

“…We give computable bounds on the rate of convergence of the transition probabilities to the stationary distribution for a certain class of geometrically…”
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Sustained oscillations for density dependent Markov processes by Baxendale, Peter H., Greenwood, Priscilla E.

“…Simulations of models of epidemics, biochemical systems, and other bio-systems show that when deterministic models yield damped oscillations, stochastic…”
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Lyapunov exponents and shear-induced chaos for a Hopf bifurcation with additive noise by Baxendale, Peter H.

“…This paper considers the effect of additive white noise on the normal form for the supercritical Hopf bifurcation in 2 dimensions. The main results involve the…”
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Stochastic averaging and asymptotic behavior of the stochastic Duffing–van der Pol equation by Baxendale, Peter H.

“…Consider the stochastic Duffing–van der Pol equation x ̈ =−ω 2x−Ax 3−Bx 2 x ̇ +ε 2β x ̇ +εσx W ̇ t with A⩾0 and B>0. If β/2+ σ 2/8 ω 2>0 then for small enough…”
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Quickest change detection in nonlinear hidden Markov models using a generalized CUSUM procedure with particle filters by Baxendale, Peter, Li, Dongchang, Namachchivaya, N. Sri

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Bounded size bias coupling: a Gamma function bound, and universal Dickman-function behavior by Arratia, Richard, Baxendale, Peter

“…Under the assumption that the distribution of a nonnegative random variable X admits a bounded coupling with its size biased version, we prove simple and…”
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Random concave functions by Baxendale, Peter, Wong, Ting-Kam Leonard

“…Spaces of convex and concave functions appear naturally in theory and applications. For example, convex regression and log-concave density estimation are…”
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Lyapunov Exponents for Small Random Perturbations of Hamiltonian Systems by Baxendale, Peter H., Goukasian, Levon

“…Consider the stochastic nonlinear oscillator equation ẍ = - x - x3+ ε2β ẋ + εσ x Ẇtwith β < 0 and σ ≠ 0. If 4$\beta + \sigma^2 > 0$then for small…”
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T. E. HARRIS'S CONTRIBUTIONS TO RECURRENT MARKOV PROCESSES AND STOCHASTIC FLOWS by Baxendale, Peter

“…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…”
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Lyapunov exponents of nilpotent Itô systems with random coefficients by Baxendale, Peter H., Goukasian, Levon

“…The paper considers the top Lyapunov exponent of a two-dimensional linear stochastic differential equation. The matrix coefficients are assumed to be functions…”
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Lyapunov exponents and shear-induced chaos for a Hopf bifurcation with additive noise by Baxendale, Peter H

“…This paper considers the effect of additive white noise on the normal form for the supercritical Hopf bifurcation in 2 dimensions. The main results involve the…”
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Uniform Shrinking and Expansion under Isotropic Brownian Flows by Baxendale, Peter, Dimitroff, Georgi

“…We study some finite time transport properties of isotropic Brownian flows. Under a certain nondegeneracy condition on the potential spectral measure, we prove…”
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Almost-Sure Stability of the Single Mode Solution of a Noisy Nonlinear Autoparametric System by Baxendale, Peter H, Namachchivaya, N. Sri

“…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…”
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Almost sure and moment Lyapunov exponents for a stochastic beam equation by Baxendale, Peter H., Picas, Marios

“…The transverse vibrations of an Euler–Bernoulli beam with axial tension P and axial white noise forcing are given by m y t t + m α y t + E I y x x x x − P y x…”
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Mass measurements of cyclic AMP formation by radioimmunoassay, enzyme immunoassay, and scintillation proximity assay by Horton, J K, Baxendale, P M

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Random concave functions by Baxendale, Peter, Wong, Ting-Kam Leonard

“…Spaces of convex and concave functions appear naturally in theory and applications. For example, convex regression and log-concave density estimation are…”
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Noise Sharing and Mexican Hat Coupling in a Stochastic Neural Field by Baxendale, Peter H, Greenwood, Priscilla E, Ward, Lawrence M

“…A diffusion-type coupling operator biologically significant in neuroscience is a difference of Gaussian functions (Mexican Hat operator) used as a…”
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T. E. Harris's contributions to recurrent Markov processes and stochastic flows by Baxendale, Peter

“…Annals of Probability 2011, Vol. 39, No. 2, 417-428 This is a brief survey of T. E. Harris's work on recurrent Markov processes and on stochastic flows, and of…”
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Bounded size bias coupling: a Gamma function bound, and universal Dickman-function behavior by Arratia, Richard, Baxendale, Peter

“…Under the assumption that the distribution of a nonnegative random variable $X$ admits a bounded coupling with its size biased version, we prove simple and…”
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A stochastic Hopf bifurcation by Baxendale, Peter H.

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