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Horizontal lift of the Brownian motion on the hyperbolic plane and the Selberg trace formula |
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| Authors: | Hiroyuki Matsumoto |
| Institution: | Graduate School of Information Science, Nagoya University, Chikusa-ku, Nagoya 464-8601, Japan |
| Abstract: | By using an explicit representation for the horizontal lift of the Brownian motion on the Poincaré upper half-plane H2, we show an expression for the heat kernel for the de Rham-Kodaira Laplacian on H2. We apply the result to a study on the Selberg trace formula. |
| Keywords: | Brownian motion Horizontal lift Poincaré upper half-plane De Rham-Kodaira Laplacian Heat kernel Selberg trace formula |
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