1. Department of Mathematics, 1984 Mathematics Road, University of British Columbia, Vancouver V6T 1Z2, Canada;2. Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700108, India
Abstract:
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 Lp-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.