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Let T1, . . . , Td be homogeneous trees with degrees q1 + 1, . . . , qd + 1 ≥ 3, respectively. For each tree, let h : Tj → Z be the Busemann function with respect to a fixed boundary point (end). Its level sets are the horocycles. The horocyclic product of T1, . . . , Td is the graphDL(q1, . . . , qd) consisting of all d-tuples x1 · · ·xd ∈ T1×· · ·×Td with… (More)

Let G be a finitely generated group and X its Cayley graph with respect to a finite, symmetric generating set S. Furthermore, let H be a finite group and H ≀G the lamplighter group (wreath product) over G with group of “lamps” H. We show that the spectral measure (Plancherel measure) of any symmetric “switch–walk–switch” random walk on H ≀G coincides with… (More)

An infinitesimal Kazhdan constant of Sp (2,R) is computed. The methods used to prove this can also be employed to determine a quantitative estimate of the asymptotics of the matrix coefficients of Sp (n,R) in an elementary manner. An application of the result gives explicit Kazhdan constants for Sp (n,R), n ≥ 2.

The Segal–Shale–Weil representation associates to a symplectic transformation of the Heisenberg group an intertwining operator, called metaplectic operator. We develop an explicit construction of metaplectic operators for the Heisenberg group H(G) of a finite abelian group G, an important setting in finite time-frequency analysis. Our approach also yields a… (More)

- Georgios C Sotiropoulos, Ernesto P . Molmenti, +7 authors Christoph Erich Broelsch
- European surgical research. Europäische…
- 2006

BACKGROUND
Hepatocellular carcinoma (HCC) is a well-known complication of hereditary hemochromatosis. The benefit of surgical therapy in this clinical entity is not well documented. The purpose of this study was to evaluate the outcome of such patients both in our own experience as well as in the published literature.
METHODS
320 patients with a diagnosis… (More)

- Markus Neuhauser
- Eur. J. Comb.
- 2002

In this short note the neighbourhood graph of a Cayley graph is considered. It has as nodes a symmetric generating set of a finitely-generated group Γ. Two nodes are connected by an edge if one is obtained from the other by multiplication on the right by one of the generators. Two necessary conditions on the graphs are shown. One is a condition on the… (More)

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