In this problem Z0 is a convex closed subset of a Banach spaceZ , and G and H are continuous operators from Z to the space of integrable random variables L1(Ω,F , P). The random variable Y plays the role of a benchmark outcome. For example, one may set Y = G(z̄), where z̄ ∈ Z0 is some reasonable value of the decision vector, which is currently employed in the system. The relation (2) is the stoch...

Parameterization of turbulent fluxes under stably stratified conditions has always been a challenge. Current surface fluxes calculation schemes either need iterations or suffer low accuracy. In this paper, a non-iterative scheme is proposed to approach the classic iterative computation results using multiple regressions. It can be applied to the full range of roughness status 10≤ z/z0 ≤ 105 and...

Given floating-point arithmetic with t-digit base-β significands in which all arithmetic operations are performed as if calculated to infinite precision and rounded to a nearest representable value, we prove that the product of complex values z0 and z1 can be computed with maximum absolute error |z0| |z1| 12β √ 5. In particular, this provides relative error bounds of 2−24 √ 5 and 2−53 √ 5 for I...

We discuss the case of simultaneous mixing of gauge bosons and mixing of fermions in a model independent way and for a variety of extra-fermion representations. In this context we analyze a class of lepton family violating processes, namely Z! e , Z!  , Z! e , ! ee e, ! ee e, ! , ! e and ! e e in the presence of one extra neutral gauge boson, Z0, with universal, non-universal or family changin...

We present a search for excited fermions in e+p scattering at HERA using H1 data with an integrated luminosity of 37 pb 1. All electroweak decays of excited leptons, ` ! ` ; `W; `Z0 are considered. The excited quarks are searched for in the q ! q and qW channels. The analysis considers Z0 and W hadronic decays and first generation leptonic decays. No evidence for new particle production is foun...

We discuss the non-decoupling effects on the loop-induced H±W∓Z0 vertex in the general two Higgs-doublet model. The decay process H± → W±Z0 is analyzed at one-loop level and possible enhancement of the decay width is explored. We find that a novel enhancement can be realized by the Higgs non-decoupling effects with large mass difference between charged and CP-odd Higgs bosons. The branching rat...

Let G = (Ω, E) be a graph and let d be the graph distance. Consider a discrete-time Markov chain {Zt} on Ω whose kernel p satisfies p(x, y) > 0 ⇒ {x, y} ∈ E for every x, y ∈ Ω. In words, transitions only occur between neighboring points of the graph. Suppose further that (Ω, p, d) has coarse Ricci curvature at least 1/α in the sense of Ollivier: For all x, y ∈ Ω, it holds that W1(Z1 | {Z0 = x},...

In the gauge theory context, a definition of branching ratios and partial widths of unstable particles is proposed that satisfies the basic principles of additivity and gauge independence. A simpler definition, similar to the conventional one, is examined in the Z0-boson case. In order to establish contact with experiment, we show that it leads to a peak cross section that justifies the express...