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Here we construct an isomorphism between a realization of B(Λ 0 ) using Nakajima’s monomial crystal and one case of Fayers’ partition crystal.. Of course any two realizations of B(Λ 0
Path transformations have proved useful in the study of Brownian motion and related pro- cesses, by providing simple constructions of various conditioned processes such as
We extend this result to a natural multiparameter version of Taylor and Wendel’s theorem on the relationship between Brownian local time and the Hausdorff φ -measure of the zero
In a first step, we show that the small deviation problem of processes that are subordinated to Brownian motion (or more generally, to a strictly β -stable Lévy process) are
Our aim in in this section is to show that in the case of metabelian groups the lower estimate (11) can be complemented with a similar upper bound. We keep the notation of §2.. §2)
coordinate systems this problem is reduced to the ǫ-covering time of the two-dimensional (flat) torus by a (standard) Brownian motion. In this paper we deal with manifolds of
the time reversed process is a drifted fractional Brownian motion, which continuously extends the one obtained in the theory of time reversal of Brownian diffusions when H = 1/2..
To prove those results, we use the fact that the ISE has the same distribution (up to a constant scaling) as the total mass of an excursion of the Brownian snake conditioned to have
