You are here: MIMS > EPrints
MIMS EPrints

2011.17: Exit problems associated with affine reflection groups

2011.17: You Doumerc and John Moriarty (2009) Exit problems associated with affine reflection groups. Probability Theory and Related Fields, 145 (3-4). pp. 351-383. ISSN 0178-8051

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
2348 Kb

DOI: 10.1007/s00440-008-0171-9


We obtain a formula for the distribution of the first exit time of Brownian motion from the alcove of an affine Weyl group. In most cases the formula is expressed compactly, in terms of Pfaffians. Expected exit times are derived in the type à case. The results extend to other Markov processes. We also give formulas for the real eigenfunctions of the Dirichlet and Neumann Laplacians on alcoves, and observe that the ‘Hot Spots’ conjecture of J. Rauch is true for alcoves.

Item Type:Article
Subjects:MSC 2000 > 60 Probability theory and stochastic processes
MIMS number:2011.17
Deposited By:Ms Lucy van Russelt
Deposited On:18 February 2011

Download Statistics: last 4 weeks
Repository Staff Only: edit this item