Dynamics of the heat semigroup on symmetric spaces
نویسندگان
چکیده
The aim of this paper is to show that the dynamics of L heat semigroups (p > 2) on a symmetric space of non-compact type is very different from the dynamics of the L heat semigroups if p ≤ 2. To see this, it is shown that certain shifts of the L heat semigroups have a chaotic behavior if p > 2 and that such a behavior is not possible in the cases p ≤ 2. These results are compared with the corresponding situation for euclidean spaces and symmetric spaces of compact type where such a behavior is not possible.
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