Now showing items 1-7 of 7

    • A practical criterion for positivity of transition densities 

      Herzog, David P; Mattingly, Jonathan Christopher (Nonlinearity, 2015-07-10)
      © 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 (2017-11-30)
      We study Langevin dynamics of $N$ particles on $R^d$ interacting through a singular repulsive potential, e.g.~the well-known Lennard-Jones type, and show that the system converges to the unique invariant Gibbs measure ...
    • Impact of coverage-dependent marginal costs on optimal HPV vaccination strategies. 

      Herzog, David P; McGoff, Kevin; Myers, ER; Ryser, MD; Sivakoff, DJ (Epidemics, 2015-06)
      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 ...
    • Noise-induced stabilization of planar flows I 

      Herzog, David P; Mattingly, Jonathan Christopher (Electronic Journal of Probability, 2015-10-22)
      © 2015 University of Washington. All rights reserved.We show that the complex-valued 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, ...
    • Noise-Induced Stabilization of Planar Flows II 

      Herzog, David P; Mattingly, Jonathan Christopher (ArXiv e-prints, 2014-04)
    • Noise-induced stabilization of planar flows ii 

      Herzog, David P; Mattingly, Jonathan Christopher (Electronic Journal of Probability, 2015-10-25)
      © 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 Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations 

      Glatt-Holtz, NE; Herzog, David P; Mattingly, Jonathan Christopher (2017-07-27)
      We establish the dual notions of scaling and saturation from geometric control theory in an infinite-dimensional setting. This generalization is applied to the low-mode control problem in a number of concrete nonlinear partial ...