We consider a finite quantum system coupled to quasifree thermal reservoirs at different temperatures. Under the assumptions of small coupling and exponential decay of the reservoir correlation function, the large deviation generating function of energy transport into the reservoirs is shown to be analytic on a bounded set. Our method is different from the spectral deformation technique which w...

By making simple assumptions regaxding the nodal potentials we have been able to obtain analytic expmions for the meam and standard deviation of the cost-function values of a feed-faward multilayer network, with continuous activation units, prior to mining. We have also obtained means of the derivatives. with respect to the weights and biases, of the cost function. The expressions have been use...

In this paper we present a method for determining optimal routes along selected paths in a wireless mesh network based on an interference aware delay analysis. We develop an analytic model that enables us to obtain closed form expressions for delay in terms of multipath routing variables. A flow deviation algorithm is used to derive the optimal flow over a given set of routes. The model takes i...

The prospects for determining |Vub| from exclusive B semileptonic decay are discussed. The double ratio of form factors (f (B→ρ)/f (B→K ∗))/ (f (D→ρ)/f (D→K ∗)) is calculated using chiral perturbation theory. Its deviation from unity due to contributions that are non-analytic in the symmetry breaking parameters is very small. Combining experimental data obtainable from B → ρ l ν̄l, B → Kl l̄ and ...

The talk1 describes an analytic approach to urn models of the Pólya type where an urn may contain balls of either of two colours. At each step, a ball is randomly drawn and replaced by balls of the two colours; a fixed 2× 2-matrix with constant row sum determines the replacement policy. The treatment starts from a partial differential equation associated with the model and bases itself on confo...

Abstract. In his 2003 paper, Varadhan proves the averaged large deviation principle (LDP) for the mean velocity of a particle performing random walk in a random environment (RWRE) on Z with d ≥ 1, and gives a variational formula for the corresponding rate function Ia. Under the non-nestling assumption (resp. Kalikow’s condition), we show that Ia is strictly convex and analytic on a non-empty op...

This paper investigates the Signal-to-Noise Ratio (SNR) performance of the Logarithmic Number System (LNS) representation against the SNR performance of the fixed-point representation. Analytic formulas are presented for the evaluation and the comparison of the two aforementioned representations, and the superiority of the LNS representation is demonstrated. It is shown that the base b of the l...

In this paper, the definition of multiplicative intuitionistic fuzzy consistent complementary judgment matrix(MIFCCJM) is given, then based on the aspect of multiplicative intuitionistic fuzzy consistent complementary judgment matrix(MIFCCJM) formed by priority weights approximatives actual intuitionistic fuzzy complementary judgment matrix(IFCJM), a least deviation priority method for intuitio...

This paper aims at providing an algorithmic understanding of the “convergence” of Krylov-type methods which relies on asymptotic properties at 0 and ∞. The classical normwise (or analytic) perturbation approach correponds to the limit towards 0. We complement this analysis by the structural perturbation approach provided by the limit to ∞ in the Homotopic Deviation theory. We easily get back th...