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AN ERGODIC ACTION OF THE OUTER AUTOMORPHISM GROUP OF A FREE GROUP
OUTER AUTOMORPHISM ERGODIC ACTION
2015/9/29
For n > 2, the action of the outer automorphism
group of the rank n free group Fn on Hom(Fn, SU(2))/SU(2) is
ergodic with respect to the Lebesgue measure class.
We develop the relative theory of reductive group schemes,
using dynamic techniques and algebraic spaces to streamline the original development in SGA3.
Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory
Type A Combinatorial Theory Dirichlet Series
2015/7/6
Speci cally, two distinct versions of the Gelfand-Tsetlin de nition were given. It
is not apparent that they are equal. Either of these de nitions is purely local in that
it speci es the p-part of t...
Note on group distance magic graphs $G[C_4]$
distance magic labeling magic constant sigma labeling graph labeling Abelian group
2012/4/23
A \emph{group distance magic labeling} or a $\gr$-distance magic labeling of a graph $G(V,E)$ with $|V | = n$ is an injection $f$ from $V$ to an Abelian group $\gr$ of order $n$ such that the weight $...
Generalised quadrangles with a group of automorphisms acting primitively on points and lines
Generalised quadrangle primitive permutation group Combinatorics
2011/9/15
Abstract: We show that if G is a group of automorphisms of a thick finite generalised quadrangle Q acting primitively on both the points and lines of Q, then G is almost simple. Moreover, if G is also...
Series expansions from the corner transfer matrix renormalization group method: the hard squares model
Corner transfer matrix hard squares model series expansions
2011/9/30
Abstract: The corner transfer matrix renormalization group method is an efficient method for evaluating physical quantities in statistical mechanical models. It originates from Baxter's corner transfe...
On Measures on Partitions Arising in Harmonic Analysis for Linear and Projective Characters of the Infinite Symmetric Group
Partitions Arising Harmonic Analysis the Infinite Symmetric Group Combinatorics
2011/8/25
Abstract: The z-measures on partitions originated from the problem of harmonic analysis of linear representations of the infinite symmetric group in the works of Kerov, Olshanski and Vershik (1993, 20...