222 research outputs found
Higher Order Deformations of Hyperbolic Spectra
No full textThis is an expanded writeup of a talk given by the second author at Erik Balslev's 75th birthday conference on October 1-2, 2010 at Aarhus University. We summarize our work on Fermi's golden rule and higher order phenomena for hyperbolic manifolds. A topic which occupied the last part of Erik Balslev's research
A generalization of the little theorem of Picard
No full textThe method used by the author in cooperation with S. I. Goldberg and T. Ishihara in the study of harmonic mappings of bounded dilatation (J. Differential Geometry 10 (4) (1975)) is employed here to derive a Picard type theorem for quasiconformal mappings into spaces which are not necessarily hyperbolic. More precisely: if
N
N
is a nonpositively curved Riemannian manifold of dimension
n
n
and scalar curvature bounded away from zero, and if
M
M
is a complete locally flat Riemannian manifold of dimension
m
⩾
n
m \geqslant n
, then every harmonic
K
K
-quasiconformal mapping
f
:
M
→
N
f:M \to N
is a constant mapping. If, in addition,
M
M
and
N
N
are Kaehler manifolds then every conformal mapping,
f
:
M
→
N
f:M \to N
is of rank at most
n
−
2
n - 2
. For
m
=
n
=
2
m = n = 2
we obtain the classical “little” theorem of Picard.</p
Anatomical evaluation of intracranial aneurysm rupture risk in patients with multiple aneurysms.
No full textIn patients with aneurysmal subarachnoid hemorrhage (aSAH) and multiple aneurysms, there is a need to objectively identify the ruptured aneurysm. Additionally, studying the intra-individual rupture risk of multiple aneurysms eliminates extrinsic risk factors and allows a focus on anatomical factors, which could be extrapolated to patients with single aneurysms too. Retrospective bi-center study (Department of Neurosurgery of the University Hospital Duesseldorf and Bern) on patients with multiple aneurysms and subarachnoid hemorrhage caused by the rupture of one of them. Parameters investigated were height, width, neck, shape, inflow angle, diameter of the proximal and distal arteries, width/neck ratio, height/width ratio, height/neck ratio, and localization. Statistical analysis and logistic regressions were performed by the R program, version 3.4.3. N = 186 patients with aSAH and multiple aneurysms were treated in either department from 2008 to 2016 (Bern: 2008-2016, 725 patients and 100 multiple aneurysms, Duesseldorf: 2012-2016, 355 patients, 86 multiple aneurysms). The mean age was 57 years. N = 119 patients had 2 aneurysms, N = 52 patients had 3 aneurysms, N = 14 had 4 aneurysms and N = 1 had 5 aneurysms. Eighty-four percent of ruptured aneurysms were significantly larger than the largest unruptured. Multilobularity of ruptured aneurysms was significantly higher than in unruptured. Metric variables describing the geometry (height, width, etc.) and shape are the most predictive for rupture. One or two of them alone are already reliable predictors. Ratios are completely redundant in saccular aneurysms
Exact Analytical and Numerical Solutions to the Time-Dependent Schr&#246;dinger Equation for a One-Dimensional Potential Exhibiting Non-Exponential Decay at All Times
No full textPhysical and functional cooperation of neural cell adhesion molecule and β1-integrin in neurite outgrowth induction
No full textMeasurement of the midrapidity transverse energy distribution from root(NN)-N-S=130 GeV Au+Au collisions at RHIC
No full textThe first measurement of energy produced transverse to the beam direction at the Relativistic Heavy-Ion Collider at Brookhaven National Laboratory is presented. The midrapidity transverse energy density per participating nucleon rises steadily with the number of participants, closely paralleling the rise in charged-particle density, such that ⟨ET⟩/⟨Nch⟩ remains relatively constant as a function of centrality. The energy density calculated via Bjorken’s prescription for the 2% most central Au+Au collisions at √sNN=130GeV is at least εBj=4.6 GeV/fm3, which is a factor of 1.6 larger than found at √sNN=17.2 GeV ( Pb+Pb at CERN).This article is published as Adcox, K., S. S. Adler, N. N. Ajitanand, Y. Akiba, J. Alexander, L. Aphecetche, Y. Arai et al. "Measurement of the Midrapidity Transverse Energy Distribution from s NN= 130 GeV A u+ A u Collisions at RHIC." Physical review letters 87, no. 5 (2001): 052301. DOI:10.1103/PhysRevLett.87.052301. Posted with permission.</p
Transverse-mass dependence of two-pion correlations in Au+Au collisions at root(NN)-N-S=130 GeV
No full textTwo-pion correlations in roots(NN) = 130 GeV Au+Au collisions at RHIC have been measured over a broad range of pair transverse momentum k(T) by the PHENIX experiment at RHIC. The k(T) dependent transverse radii are similar to results from heavy-ion collisions at roots(NN) = 4.1 , 4.9, and 17.3 GeV, whereas the longitudinal radius increases monotonically with beam energy. The ratio of the outwards to sidewards transverse radii (R-out/R-side) is consistent with unity and independent of k(T) .This article is published as Adcox, K., S. S. Adler, N. N. Ajitanand, Y. Akiba, J. Alexander, L. Aphecetche, Y. Arai et al. "Transverse-mass dependence of two-pion correlations in A u+ A u collisions at s NN= 130 GeV." Physical review letters 88, no. 19 (2002): 192302. DOI:10.1103/PhysRevLett.88.192302. Posted with permission.</p
Measurement of single electrons and implications for charm production in Au+Au collisions at root(NN)-N-S=130 GeV
No full textTransverse momentum spectra of electrons from Au+Au collisions at roots(NN) = 130 GeV have been measured at midrapidity by the PHENIX experiment at the Relativistic Heavy Ion Collider. The spectra show an excess above the background from photon conversions and light hadron decays. The electron signal is consistent with that expected from semileptonic decays of charm. The yield of the electron signal dN(e)/dy for p(T) > 0.8 GeV/c is 0.025 +/- 0.004(stat) +/- 0.010( syst) in central collisions, and the corresponding charm cross section is 380 +/- 60(stat) +/- 200(syst ) mu b per binary nucleon-nucleon collision.This article is published as Adcox, K., S. S. Adler, N. N. Ajitanand, Y. Akiba, J. Alexander, L. Aphecetche, Y. Arai et al. "Measurement of single electrons and implications for charm production in Au+Au collisions at sNN= 130 GeV." Physical Review Letters 88, no. 19 (2002): 192303. DOI:10.1103/PhysRevLett.88.192303. Posted with permission.</p
Observations of Bºs→ψ(2S)η and Bº(s)→ψ(2S)π+π- decays
No full textFirst observations of the B0s
→ψ(2S)η, B0 →ψ(2S)π
+
π
− and B0s
→ψ(2S)π
+
π
− decays are made
using a dataset corresponding to an integrated luminosity of 1.0 fb−1 collected by the LHCb experiment in
proton–proton collisions at a centre-of-mass energy of
√
s = 7 TeV. The ratios of the branching fractions
of each of the ψ(2S) modes with respect to the corresponding J/ψ decays are
B(B0s
→ψ(2S)η)
÷
B(B0s
→J/ψη)
= 0.83± 0.14 (stat)±0.12 (syst) ±0.02 (B),
;
B(B0→ψ(2S)π
+
π
−
)
÷
B(B0→J/ψπ
+
π
−
)
= 0.56± 0.07 (stat)±0.05 (syst)± 0.01 (B),
;
B(B0s
→ψ(2S)π
+
π
−
)
÷
B(B0s
→J/ψπ
+
π
−
)
= 0.34± 0.04 (stat)±0.03 (syst)± 0.01 (B),
where the third uncertainty corresponds to the uncertainties of the dilepton branching fractions of the J/ψ
and ψ(2S) meson decays
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