. R T ] 1 1 Ja n 20 05 Littelmann paths and Brownian paths
نویسنده
چکیده
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.
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 کاملar X iv : m at h / 05 01 21 8 v 1 [ m at h . PR ] 1 4 Ja n 20 05 Nonintersecting Paths , Noncolliding Diffusion Processes and Representation Theory ∗
The system of one-dimensional symmetric simple random walks, in which none of walkers have met others in a given time period, is called the vicious walker model. It was introduced by Michael Fisher and applications of the model to various wetting and melting phenomena were described in his Boltzmann medal lecture. In the present report, we explain interesting connections among representation th...
متن کاملFrom Pitman’s theorem to crystals
We describe an extension of Pitman’s theorem on Brownian motion and the three dimensional Bessel process to several dimensions. We show how this extension is suggested by considering a random walk on a noncommutative space, and is connected with crystals and Littelmann paths.
متن کاملKac-moody Groups, Hovels and Littelmann's Paths
We give the definition of a kind of building I for a symmetrizable KacMoody group over a field K endowed with a dicrete valuation and with a residue field containing C. Due to some bad properties, we call this I a hovel. Nevertheless I has some good properties, for example the existence of retractions with center a sector-germ. This enables us to generalize many results proved in the semi-simpl...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005