Subspaces of a finite center of an absolute Riesz scale which are isomorphic to an infinite center

1976 ◽  
Vol 16 (4) ◽  
pp. 662-664
Author(s):  
V. V. Kashirin
Keyword(s):  
Finite Center ◽  
Infinite Center

The existence of Golod groups with infinite center

1986 ◽  
Vol 39 (5) ◽  
pp. 353-355
Author(s):  
A. V. Timofeenko
Keyword(s):  
Infinite Center

scholarly journals Amount of failure of upper-semicontinuity of entropy in non-compact rank-one situations, and Hausdorff dimension

2015 ◽  
Vol 37 (2) ◽  
pp. 539-563 ◽  
Author(s):  
S. KADYROV ◽  
A. POHL
Keyword(s):  
Hausdorff Dimension ◽  
Homogeneous Spaces ◽  
Upper Semicontinuity ◽  
Metric Entropy ◽  
Real Rank ◽  
Semisimple Lie Group ◽  
Uniform Lattice ◽  
Finite Center ◽  
Rank One ◽  
Set Of Points

Recently, Einsiedler and the authors provided a bound in terms of escape of mass for the amount by which upper-semicontinuity for metric entropy fails for diagonal flows on homogeneous spaces $\unicode[STIX]{x1D6E4}\setminus G$, where $G$ is any connected semisimple Lie group of real rank one with finite center, and $\unicode[STIX]{x1D6E4}$ is any non-uniform lattice in $G$. We show that this bound is sharp, and apply the methods used to establish bounds for the Hausdorff dimension of the set of points that diverge on average.

D-WAVE CHECKERBOARD BOSE CONDENSATE OF MOBILE BIPOLARONS

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2301-2312 ◽  
Author(s):  
A. S. ALEXANDROV
Keyword(s):  
Particle Density ◽  
Center Of Mass ◽  
Bose Condensate ◽  
Real Space ◽  
Temperature Dependent ◽  
Finite Center ◽  
Electron Phonon Interaction ◽  
Single Particle Density ◽  
Wave Symmetry ◽  
D Wave

Strong finite-range electron-phonon interaction (EPI) bounds carriers into small mobile bipolarons. The Bogoliubov-de Gennes (BdG) equations are formulated and solved in the strong-coupling limit, when small bipolarons bose-condense with finite center-of-mass momentum, K ≠ 0. There are two energy scales in this regime, a temperature independent incoherent gap Δp and a temperature dependent coherent gap Δc(T, R) modulated in the real space, R. The order parameter has d-wave symmetry in R-space and the single-particle density of states (DOS) reveals checkerboard modulations similar to the checkerboard tunnelling DOS observed in cuprates.

Minimal solvable algebraic groups with a finite center

1991 ◽  
Vol 50 (2) ◽  
pp. 854-856
Author(s):  
K. N. Ponomarev
Keyword(s):  
Algebraic Groups ◽  
Finite Center

POISSON SPACES FOR PROPER SEMIGROUPS OF SEMI-SIMPLE LIE GROUPS

2007 ◽  
Vol 07 (03) ◽  
pp. 273-297 ◽  
Author(s):  
JORGE N. LÓPEZ ◽  
PAULO R. C. RUFFINO ◽  
LUIZ A. B. SAN MARTIN
Keyword(s):  
Probability Measure ◽  
Lie Groups ◽  
Lie Group ◽  
Harmonic Functions ◽  
Classical Result ◽  
Continuous Functions ◽  
Empty Interior ◽  
Connected Group ◽  
Finite Center ◽  
Poisson Space

Let ν be a probability measure on a semi-simple Lie group G with finite center. Under the hypothesis that the semigroup S generated by ν has non-empty interior, we identify the Poisson space Π = G/MνAN, where bounded (l.u.c.) ν-harmonic functions in G have a one-to-one correspondence with measurable (continuous) functions in Π. This paper extends a classical result (see Furstenberg [7], Azencott [1] and others), where the semigroup generated by ν was assumed to be the whole (connected) group. We present two detailed examples.

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