We define necessary and sufficient conditions on prices and incomes under which quantity choices can violate SARP (Strong Axiom of Revealed Preference) but not WARP (Weak Axiom of Revealed Preference). As SARP extends WARP by additionally imposing transitivity on the revealed preference relation, this effectively defines the conditions under which transitivity adds bite to the empirical analysi...

Motivated by second order asymptotic results, we characterize the convergence in law of double integrals, with respect to Poisson random measures, toward a standard Gaussian distribution. Our conditions are expressed in terms of contractions of the kernels. To prove our main results, we use the theory of stable convergence of generalized stochastic integrals developed by Peccati and Taqqu. One ...

The measured values of two electroweak gauge couplings appear to obey an approximate (5%) SU(3) relation. Unless this is an accident caused by fortuitous Planck-scale physics, it suggests the presence of an SU(3) symmetry near the electroweak scale. We propose this to be a local SU(3) which spontaneously “mixes” with SU(2)×U(1) near a TeV. Although all the particles of the standard model are SU...

We dispel the misconception that data from SN 1987A favor the normal neutrino mass hierarchy over the inverted hierarchy for sin 2 θ 13 > ∼ 10 −4. We find comparable fits for the two hierarchies. No bound can be placed on the mixing angle θ 13 even at the 1σ level.

We derive sufficient conditions for a family (Sn, ρn,Pn) of metric probability spaces to have the measure concentration property. Specifically, if the sequence {Pn} of probability measures satisfies a strong mixing condition (which we call η-mixing) and the sequence of metrics {ρn} is what we call Ψ-dominated, we show that (Sn, ρn,Pn) is a normal Lévy family. We establish these properties for s...

Chaotic advection in three-dimensional unsteady incompressible laminar flow By J U L Y A N H. E. C A R T W R I G H T1;2y , M A R I O F E I N G O L D3z , AND O R E S T E P I R O1;4{ 1Departament de Fı́sica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain. 2Centre de Càlcul i Informatització, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain. 3Department of Physics,...