The Annals of Probability
- Ann. Probab.
- Volume 18, Number 3 (1990), 1195-1221.
Induced Dirichlet Forms and Capacitary Inequalities
A Dirichlet form on a large (complicated or multidimensional) space may be carried over onto a small (simple or one-dimensional) space. Here conditions are given ensuring the induced form is regular. A capacitary inequality between the two forms allows one to estimate the probability of a large deviation on the large space by that on the small space. Also asymptotically sharp results are derived in a one-dimensional setting.
Ann. Probab., Volume 18, Number 3 (1990), 1195-1221.
First available in Project Euclid: 19 April 2007
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Iscoe, I.; McDonald, D. Induced Dirichlet Forms and Capacitary Inequalities. Ann. Probab. 18 (1990), no. 3, 1195--1221. doi:10.1214/aop/1176990742. https://projecteuclid.org/euclid.aop/1176990742