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VIDEO LIBRARY |
International conference «Real and Complex Dynamical Systems», dedicated to the to the 75th anniversary of Yu. S. Il'yashenko
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Heat kernel and counting problems for Kleinian groups Adrien Boulanger Université Aix-Marseille |
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Abstract: Given a group acting discretely and properly on a metric space, we are interested in estimating the number of points belonging to both the orbit of a given point and to a ball of fixed center when the radius of the ball goes to infinity. Any control of this asymptotic is a counting theorem. In this talk we will focus on Kleinian groups, i.e groups acting on a hyperbolic space. We will start with the historical background, and proceed with the proposal of a strategy to obtain counting theorems based on the use of the heat kernel. Language: English |