948,585 research outputs found
Comment on "Delayed luminescence of biological systems in terms of coherent states" [Phys. Lett. A 293 (2002) 93]
Popp and Yan [F. A. Popp, Y. Yan, Phys. Lett. A 293 (2002) 93] proposed a
model for delayed luminescence based on a single time-dependent coherent state.
We show that the general solution of their model corresponds to a luminescence
that is a linear function of time. Therefore, their model is not compatible
with any measured delayed luminescence. Moreover, the functions that they use
to describe the oscillatory behaviour of delayed luminescence are not solutions
of the coupling equations to be solved.Comment: 2 pages, no figur
Arbitrage and state price deflators in a general intertemporal framework
In securities markets, the characterization of the absence of arbitrage by the existence of state price deflators is generally obtained through the use of the Kreps–Yan theorem.This paper deals with the validity of this theorem (see Kreps, D.M., 1981. Arbitrage and equilibrium in economies with infinitely many commodities. Journal of Mathematical Economics 8, 15–35; Yan, J.A., 1980. Caractérisation d'une classe d'ensembles convexes de L1 ou H1. Sém. de Probabilités XIV. Lecture Notes in Mathematics 784, 220–222) in a general framework. More precisely, we say that the Kreps–Yan theorem is valid for a locally convex topological space (X,?), endowed with an order structure, if for each closed convex cone C in X such that CX? and C?X+={0}, there exists a strictly positive continuous linear functional on X, whose restriction to C is non-positive.We first show that the Kreps–Yan theorem is not valid for spaces if fails to be sigma-finite.Then we prove that the Kreps–Yan theorem is valid for topological vector spaces in separating duality X,Y, provided Y satisfies both a “completeness condition” and a “Lindelöf-like condition”.We apply this result to the characterization of the no-arbitrage assumption in a general intertemporal framework.Arbitrage; State price deflators; Free lunch; Fundamental theorem of asset pricing; Investment opportunities
On Torsion and Nieh-Yan Form
Using the well-known Chern-Weil formula and its generalization, we
systematically construct the Chern-Simons forms and their generalization
induced by torsion as well as the Nieh-Yan (N-Y) forms. We also give an
argument on the vanishing of integration of N-Y form on any compact manifold
without boundary. A systematic construction of N-Y forms in D=4n dimension is
also given.Comment: 7 pages, latex, no figure
QCD corrections to the longitudinally polarized Drell-Yan process
In this paper we calculate the O() corrections to the - and
-distributions of lepton pairs produced in collisions of longitudinally
polarized hadrons. The numerical importance of these corrections is studied and
consequences for the extraction of the polarized sea quark distributions from a
measurement of the longitudinally polarized Drell-Yan cross section are
discussed.Comment: 21 pages, LaTeX, 8 figures include
Power corrections to the differential Drell-Yan cross section
We estimate the power corrections (infrared renormalon contributions) to the
coefficient functions for the differential Drell-Yan cross-section
, where is the mass squared and the rapidity of the
produced lepton pair. We employ the dispersive method based on the analysis of
one-loop Feynman graphs containing a massive gluon.Comment: 11 pages, 1 figure, LaTe
How much more can sunspots tell us about the solar dynamo?
Sunspot observations inspired solar dynamo theory and continue to do so. Simply counting them established the sunspot cycle and its period. Latitudinal distributions introduced the tough constraint that the source of sunspots moves equator-ward as the cycle progresses. Observations of Hale's polarity law mandated hemispheric asymmetry. How much more can sunspots tell us about the solar dynamo? We draw attention to a few outstanding questions raised by inherent sunspot properties. Namely, how to explain sunspot rotation rates, the incoherence of follower spots, the longitudinal spacing of sunspot groups, and brightness trends within a given sunspot cycle. After reviewing the first several topics, we then present new results on the brightness of sunspots in Cycle 24 as observed with the Helioseismic Magnetic Imager (HMI). We compare these results to the sunspot brightness observed in Cycle 23 with the Michelson Doppler Imager (MDI). Next, we compare the minimum intensities of five sunspots simultaneously observed by the Hinode Solar Optical Telescope Spectropolarimeter (SOT-SP) and HMI to verify that the minimum brightness of sunspot umbrae correlates well to the maximum field strength. We then examine 90 and 52 sunspots in the north and south hemisphere, respectively, from 2010 - 2012. Finally, we conclude that the average maximum field strengths of umbra 40 Carrington Rotations into Cycle 24 are 2690 Gauss, virtually indistinguishable from the 2660 Gauss value observed at a similar time in Cycle 23 with MDI
Fractional type Marcinkiewicz integral operators associated to surfaces
In this paper, we discuss the boundedness of the fractional type
Marcinkiewicz integral operators associated to surfaces, and extend a result
given by Chen, Fan and Ying in 2002. They showed that under certain conditions
the fractional type Marcinkiewicz integral operators are bounded from the
Triebel-Lizorkin spaces to . Recently the second author, together with Xue and Yan, greatly weakened
their assumptions. In this paper, we extend their results to the case where the
operators are associated to the surfaces of the form .
To prove our result, we discuss a characterization of the homogeneous
Triebel-Lizorkin spaces in terms of lacunary sequences.Comment: 27page
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