Chaotic dynamics of the heat semigroup on Riemannian symmetric spaces

摘要

We show that the heat semigroup generated by certain perturbations of the Laplace-Beltrami operator on the Riemannian symmetric spaces of noncompact type is chaotic on their L~p-spaces when 2 < p < ∞. Both the range of p and the range of chaos-inducing perturbation are sharp. This extends a result of Ji and Weber [17] where it was shown that under identical conditions the heat operator is subspace-chaotic on these spaces.