Oleg Butkovsky, Michael Scheutzow
Published 2017-03-15Version 1
We establish new general sufficient conditions for the existence of an invariant measure for stochastic functional differential equations and for exponential or subexponential convergence to the equilibrium. The obtained conditions extend Veretennikov--Khasminskii conditions for SDEs and are optimal in a certain sense.
Heat Conduction Networks: Disposition of Heat Baths and Invariant Measure
Point-to-line last passage percolation and the invariant measure of a system of reflecting Brownian motions
On the long-time statistical behavior of smooth solutions of the weakly damped, stochastically-driven KdV equation
![QR code for arXiv:1703.05120 [math.PR]](http://oss.arxitics.com/images/favicon.svg)