Abstract
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.
Citation
I. Iscoe. D. McDonald. "Induced Dirichlet Forms and Capacitary Inequalities." Ann. Probab. 18 (3) 1195 - 1221, July, 1990. https://doi.org/10.1214/aop/1176990742
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