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arxiv: 1206.0583 · v1 · pith:EH5GNGENnew · submitted 2012-06-04 · 🧮 math.PR

Log-Harnack Inequality for Gruschin Type Semigroups

classification 🧮 math.PR
keywords gruschininequalitylog-harnacksemigroupstypeclassconditionalconstructing
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By constructing a coupling in two steps and using the Girsanov theorem under a regular conditional probability, the log-Harnack inequality is established for a large class of Gruschin type semigroups whose generator might be both degenerate and non-Lipschitzian.

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