منابع مشابه
4 Littelmann paths and Brownian paths
We study some path transformations related to Littelmann path model and their applications to representation theory and Brownian motion in a Weyl chamber.
متن کامل. R T ] 1 1 Ja n 20 05 Littelmann paths and Brownian paths
We study some path transformations related to Pitman’s theorem on Brownian motion and the three dimensional Bessel process. We relate these to Littelmann path model, and give applications to representation theory and to Brownian motion in a Weyl chamber.
متن کاملOn the Connection between Young Walls and Littelmann Paths
In the article [7], we developed the combinatorics of Young walls associated with higher level adjoint crystals for the quantum affine algebra Uq(ŝl2). The irreducible highest weight crystal B(λ) of arbitrary level is realized as the affine crystal consisting of reduced Young walls on λ. Littelmann [20] gave a concrete path model with which Joseph and Kashiwara proved that there exists an isomo...
متن کاملIntersection properties of Brownian paths
This review presents a modern approach to intersections of Brownian paths. It exploits the fundamental link between intersection properties and percolation processes on trees. More precisely, a Brownians path is intersect-equivalent to certain fractal percolation. It means that the intersection probabilities of Brownian paths can be estimated up to constant factors by survival probabilities of ...
متن کاملCut Points on Brownian Paths
Let X be a standard 2-dimensional Brownian motion. There exists a.s. t ∈ (0, 1) such that X([0, t)) ∩ X((t, 1]) = ∅. It follows that X([0, 1]) is not homeomorphic to the Sierpiński carpet a.s.
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2005
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-05-13014-9