Lyapunov Exponents of Hybrid Stochastic Heat Equations
  In this paper, we investigate a class of hybrid stochastic heat equations. By explicit formulae of solutions, we not only reveal the sample Lyapunov exponents but also discuss the $p$th moment Lyapnov exponents. Moreover, several examples are established to demonstrate that unstable (deterministic or stochastic) dynamical systems can be stabilized by Markovian switching. 
Jianhai Bao, Xuerong Mao, Chenggui Yuan
math.PR