Browsing by Author "Herzog, DP"
Now showing items 1-6 of 6
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A practical criterion for positivity of transition densities
(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
(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 ... -
Geometric Ergodicity of Two–dimensional Hamiltonian systems with a Lennard–Jones–like Repulsive Potential
(arXiv preprint arXiv:1104.3842, 2011) -
Noise-induced stabilization of planar flows I
(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
(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
(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 ...
