|
|||||
|
|
Ratio limit theorem for parabolic horn-shaped domains |
|
| Authors: | Pierre Collet Servet Martinez Jaime San Martin |
| Affiliation: | Centre de Physique Théorique, CNRS-UMR 7644 Ecole Polytechnique, 91128 Palaiseau Cedex, France ; CMM-DIM, UMI 2807-CNRS, Universidad de Chile, Casilla 170-3 Correo 3, Santiago, Chile ; CMM-DIM, UMI 2807-CNRS, Universidad de Chile, Casilla 170-3 Correo 3, Santiago, Chile |
| Abstract: | We prove that for horn-shaped domains of parabolic type, the ratio of the heat kernel at different fixed points has a limit when the time tends to infinity. We also give an explicit formula for the limit in terms of the harmonic functions. |
| Keywords: | Bessel process Harnack inequality heat kernel |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载全文 | |