Abstract We present the supersymmetric extension of unified model for inflation and Dark Matter studied in ref. [1]. The scenario is based on incomplete decay inflaton field into right-handed (s)neutrino pairs. By imposing a discrete interchange symmetry (s)neutrinos, one can ensure stability at global minimum today, while still allowing it to partially reheat Universe after inflation. Compatib...

In this paper, we study the theoretical properties of a class of iteratively re-weighted least squares (IRLS) algorithms for sparse signal recovery in the presence of noise. We demonstrate a one-to-one correspondence between this class of algorithms and a class of Expectation-Maximization (EM) algorithms for constrained maximum likelihood estimation under a Gaussian scale mixture (GSM) distribu...

We consider the group M of all polynomial ν × ν matrices U(ω) = ∑κι=0 Uι ω, κ = 0, 1, 2, ..., that satisfy equation U(ω)·D·U(ω)∗ = D with diagonal ν×ν matrixD = diag{−1, 1, 1, ...1}. Here ν ≥ 2, U(ω) = ∑κι=0 U ι ω and U ι is the Hermitean conjugate of Uι. We show that the subgroup M0 of those U(ω) ∈ M, that are normalized by the condition U(0) = I, is the free product of certain groups Mz where...

Mass signature of supernova ν µ and ν τ neutrinos in SuperKamiokande Abstract The ν µ and ν τ neutrinos (and their antiparticles) from a Galactic core-collapse supernova can be observed in a water-ˇ Cerenkov detector by the neutral-current excitation of 16 O. The number of events expected is several times greater than from neutral-current scattering on electrons. The observation of this signal ...

We consider a model for complex networks that was introduced by Krioukov et al. [11]. In this model, N points are chosen randomly inside a disk on the hyperbolic plane according to a distorted version of the uniform distribution and any two of them are joined by an edge if they are within a certain hyperbolic distance. This model exhibits a power-law degree sequence, small distances and high cl...

The time-resolved photodissociation dynamics of CH(3)I in the A-band has been studied theoretically using a wave packet model including four degrees of freedom, namely the C-I dissociation coordinate, the I-CH(3) bending mode, the CH(3) umbrella mode, and the C-H symmetric stretch mode. Clocking times and final product state distributions of the different dissociation (nonadiabatic) channels yi...

Let L(H) denote the C∗-algebra of adjointable operators on a Hilbert C∗-module H. In this paper, we introduce generalized Cauchy–Schwarz inequality for in L(H). More precisely, an operator A∈L(H) is said to satisfy if there exists ν∈(0,1) such that ‖⟨Ax,y⟩‖≤(‖Ax‖‖y‖)ν(‖Ay‖‖x‖)1−ν(x,y∈H).We investigate various properties which inequality. particular, prove A satisfies has polar decomposition, th...

Maximal ν e oscillations, Borexino and smoking guns... Abstract We examine the maximal ν e → ν s and ν e → ν µ,τ oscillation solutions to the solar neutrino problem. These solutions lead to roughly a 50% solar flux reduction for the large parameter range 3 × 10 −10 < ∼ δm 2 /eV 2 < ∼ 10 −3. It is known that the earth regeneration effect may cause a potentially large night-day asymmetry even for...

and Applied Analysis 3 Definition 1.3 see 25 . Let X, μ, ν, ∗, be a intuitionistic fuzzy metric space. Let A be any subset of X. Define φ t inf { μ ( x, y, t ) : x, y ∈ A}, ψ t sup{ν(x, y, t) : x, y ∈ A}, 1.2 i A is said to be q-bounded if limt→∞φ t 1 and limt→∞ψ t 0, ii A is said to be semibounded if limt→∞φ t k and limt→∞ψ t 1 − k, 0 < k < 1 iii A is said to be unbounded if limt→∞φ t 0 and li...

Is the ν µ → ν s oscillation solution to the atmospheric neutrino anomaly excluded by the superKamiokande data? Abstract Recently the SuperKamiokande collaboration have claimed that their data exclude the ν µ → ν s solution to the atmospheric neutrino anomaly at more than 99% C.L. We critically examine this claim.