DYNAMICAL PROPERTIES OF LÉVY PROCESSES IN LIE GROUPS

2002/03/01 by Ming Liao, MING LIAO · 1 citation
Mathematics · #Geometry and complex manifolds #Advanced Algebra and Geometry #Geometric Analysis and Curvature Flows

paper · doi:10.1142/s0219493702000285

Abstract

Let ϕ t be a Lévy process in a semisimple Lie group G of noncompact type regarded as a stochastic flow on a homogeneous space of G, called a G-flow. We will determine the Lyapunov exponents and the stable manifolds of ϕ t , and the stationary points of an associated vector field. As examples, SL (d,R)-flows and SO (1,d)-flows on SO (d) and S d - 1 are discussed in details.

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