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arxiv: 1803.01436 · v2 · pith:PWKLCPUBnew · submitted 2018-03-04 · 🧮 math.PR · math.AP· math.DG

Gradient Bounds for Kolmogorov Type Diffusions

classification 🧮 math.PR math.APmath.DG
keywords boundsgradientkolmogorovmethodstechniquestypeadvantagescalculus
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We study gradient bounds and other functional inequalities for the diffusion semigroup generated by Kolmogorov type operators. The focus is on two different methods: coupling techniques and generalized $\Gamma$-calculus techniques. The advantages and drawbacks of each of these methods are discussed.

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