Browsing by Author "0570864"
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A practical criterion for positivity of transition densities
Herzog, David P; Mattingly, Jonathan Christopher (Nonlinearity, 20150710)© 2015 IOP Publishing Ltd & London Mathematical Society.We establish a simple criterion for locating points where the transition density of a degenerate diffusion is strictly positive. Throughout, we assume that the diffusion ... 
Ergodicity and Lyapunov functions for Langevin dynamics with singular potentials
Herzog, David P; Mattingly, Jonathan Christopher (20171130)We study Langevin dynamics of $N$ particles on $R^d$ interacting through a singular repulsive potential, e.g.~the wellknown LennardJones type, and show that the system converges to the unique invariant Gibbs measure ... 
Impact of coveragedependent marginal costs on optimal HPV vaccination strategies.
Herzog, David P; McGoff, Kevin; Myers, ER; Ryser, MD; Sivakoff, DJ (Epidemics, 201506)The effectiveness of vaccinating males against the human papillomavirus (HPV) remains a controversial subject. Many existing studies conclude that increasing female coverage is more effective than diverting resources into ... 
Noiseinduced stabilization of planar flows I
Herzog, David P; Mattingly, Jonathan Christopher (Electronic Journal of Probability, 20151022)© 2015 University of Washington. All rights reserved.We show that the complexvalued ODE (n ≥ 1, an+1 6≠ 0): ź = an+1zn+1 + anzn +1zn + a0; which necessarily has trajectories along which the dynamics blows up in finite time, ... 
NoiseInduced Stabilization of Planar Flows II
Herzog, David P; Mattingly, Jonathan Christopher (ArXiv eprints, 201404) 
Noiseinduced stabilization of planar flows ii
Herzog, David P; Mattingly, Jonathan Christopher (Electronic Journal of Probability, 20151025)© 2015 University of Washington. All rights reserved.We continue the work started in Part I [6], showing how the addition of noise can stabilize an otherwise unstable system. The analysis makes use of nearly optimal Lyapunov ... 
Scaling and Saturation in InfiniteDimensional Control Problems with Applications to Stochastic Partial Differential Equations
GlattHoltz, NE; Herzog, David P; Mattingly, Jonathan Christopher (20170727)We establish the dual notions of scaling and saturation from geometric control theory in an infinitedimensional setting. This generalization is applied to the lowmode control problem in a number of concrete nonlinear partial ...