getdoc59a1. 322KB Jun 04 2011 12:04:24 AM
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In suitable circumstances we expect the results of truncation of the reordered inclusion– exclusion principle to give bounds, not just approximations, for probabilities (see
Our aim is to obtain sharp estimates on the metastable transition times between the two stable states, both for fixed N and in the limit when N tends to infinity, with error
We prove an almost sure limit theorem on the exact convergence rate of the maximum of standardized gaussian random walk increments.. On a conjecture of R´
This sharpening of the integrability criterion, along with an additional trick, allows us to prove a refined version of Enriquez and Sabot’s ballisticity criterion. The condition of
Our processes are obtained via a limit transition from a model of random strict partitions introduced by Borodin (1997) in connection with the problem of harmonic analysis
As a byproduct we also obtain (in Theorem 6.4) an inequality, involving the Gaussian measure of symmetric convex sets, stated by Szarek (1991) (who proved a somewhat weaker result)
We calculate the mean and almost-sure leading order behaviour of the high frequency asymp- totics of the eigenvalue counting function associated with the natural Dirichlet form on
Key words: bifurcating autoregressive process ; tree-indexed times series; martingales ; least squares estimation ; almost sure convergence ; quadratic strong law; central
