Výsledky vyhledávání - "Grabiner, David J."

Report

Random Walk in an Alcove of an Affine Weyl Group, and Non-Colliding Random Walks on an Interval

Autor: Grabiner, David J.

We use a reflection argument, introduced by Gessel and Zeilberger, to count the number of k-step walks between two points which stay within a chamber of a Weyl group. We apply this technique to walks in the alcoves of the classical affine Weyl groups

Externí odkaz: http://arxiv.org/abs/math/0011218

Zobrazit plný text záznamu

Report

Brownian Motion in a Weyl Chamber, Non-Colliding Particles, and Random Matrices

Autor: Grabiner, David J.

Let $n$ particles move in standard Brownian motion in one dimension, with the process terminating if two particles collide. This is a specific case of Brownian motion constrained to stay inside a Weyl chamber; the Weyl group for this chamber is $A_{n

Externí odkaz: http://arxiv.org/abs/math/9708207

Zobrazit plný text záznamu

Report

Cutting Sequences for Geodesic Flow on the Modular Surface and Continued Fractions

Autor: Grabiner, David J., Lagarias, Jeffrey C.

Publikováno v: Monatshefte fur Mathematik 133(2001), No. 4, 295-339

This paper describes the cutting sequences of geodesic flow on the modular surface H/PSL(2,Z) with respect to the standard fundamental domain F = {z=x+iy: -1/2 <= x <= 1/2 and |z|>=1} of PSL(2,Z). The cutting sequence for a vertical geodesic {\theta+

Externí odkaz: http://arxiv.org/abs/math/9707215

Zobrazit plný text záznamu

Report

Continued Fractions and Unique Additive Partitions

Autor: Grabiner, David J.

A partition of the positive integers into sets $A$ and $B$ {\em avoids} a set $S\subset\N$ if no two distinct elements in the same part have a sum in $S$. If the partition is unique, $S$ is {\em uniquely avoidable.} For any irrational $\alpha>1$, Cho

Externí odkaz: http://arxiv.org/abs/math/9704220

Zobrazit plný text záznamu