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Creators/Authors contains: "Carfagnini, Marco"

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  1. ; (, International Mathematics Research Notices)
    Abstract We consider sub-Laplacians in open bounded sets in a homogeneous Carnot group and study their spectral properties. We prove that these operators have a pure point spectrum and prove the existence of the spectral gap. In addition, we give applications to the small ball problem for a hypoelliptic Brownian motion and the large time behavior of the heat content in a regular domain. 
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  2. ; ; (, Stochastic Processes and their Applications)
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  3. ; (, Transactions of the American Mathematical Society, Series B)
    A small ball problem and Chung’s law of iterated logarithm for a hypoelliptic Brownian motion in Heisenberg group are proven. In addition, bounds on the limit in Chung’s law are established. 
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  4. (, Electronic Communications in Probability)
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