Displaying similar documents to “Vertices in ℒ ( H ) ”

Eigenfunctions of the Laplace operators for buildings of type B ~ 2

A. M. Mantero, A. Zappa (2002)

Bollettino dell'Unione Matematica Italiana

Similarity:

We consider for an affine building of type B ~ 2 Helgason's conjecture with respect to Laplace operators defined over different types of vertices. We prove that there are cases in which the conjecture fails, since there exist eigenfunctions which are not the Poisson transform of finitely additive measures at the maximal boundary of the building.

Property (T) and A ¯ 2 groups

Donald I. Cartwright, Wojciech Młotkowski, Tim Steger (1994)

Annales de l'institut Fourier

Similarity:

We show that each group Γ in a class of finitely generated groups introduced in [2] and [3] has Kazhdan’s property (T), and calculate the exact Kazhdan constant of Γ with respect to its natural set of generators. These are the first infinite groups shown to have property (T) without making essential use of the theory of representations of linear groups, and the first infinite groups with property (T) for which the exact Kazhdan constant has been calculated. These groups therefore provide...

About a special class of nonconvex optimization problems

Libuše Grygarová (1990)

Aplikace matematiky

Similarity:

The article deals with certain nonconvex optimization problem which have features analogous to those of the linear optimization problems. We can find their absolute extrema and the set all optimal points of such nonconvex optimization problem represents the closure of a face of a spherical polyhedron which is its feasible set.

Estimates for simple random walks on fundamental groups of surfaces

Laurent Bartholdi, Serge Cantat, Tullio Ceccherini-Silberstein, Pierre de la Harpe (1997)

Colloquium Mathematicae

Similarity:

Numerical estimates are given for the spectral radius of simple random walks on Cayley graphs. Emphasis is on the case of the fundamental group of a closed surface, for the usual system of generators.