We consider U(1) gauge fields in a slice of AdS5 with bulk and boundary mass parameters. The zero mode of a bulk U(1) gauge field can be localized either on the UV or IR brane. This leads to a simple model of millicharged particles in which fermions can have arbitrarily small electric charge. In the electroweak sector we also discuss phenomenological implications of a localized U(1)Y gauge boso...

We derive a formula of Chern-Gauss-Bonnet type for the Euler characteristic four dimensional manifold-with-boundary in terms geometry Loewner-Nirenberg singular Yamabe metric prescribed conformal class. The involves renormalized volume and boundary integral. It is shown that if umbilic, then sum integral invariant. Analogous results are proved asymptotically hyperbolic metrics dimension which s...

We obtain formulas that give the geometric intersection numbers between multiple curves and elementary curves, which are particular types of on punctured torus with boundary by using Dynnikov coordinates. To do this, we first determine what this surface are, then find separately number intersections each curve.

An old problem in the field of holonomy asks: Given a pair of orientations for a sphere resting on a plane, is there a closed path along which one can roll the sphere (without slipping or twisting), starting with the first orientation, and return to the origin with the sphere in the second orientation? The answer is yes, and the goal of this article is to provide an elementary proof of this fac...

This paper presents a hierarchical modeling approach for Solid-Oxide Fuel Cells from elementary kinetics to stacks. On a fundamental level, we have developed an analytical model for the evaluation of volume specific three-phase boundary length (vLtpb) in composite electrodes and electrochemical kinetics expressions to account for coverage dependent activation energies of various surface adsorbe...

where K ( X ) is the Grothendleck group (2) of complex vector bundles over X. The generaI theory of these K-groups, as developed in [1], has found many applications in topology and related fields. Since the periodicity theorem is the foundation stone of all this theory i t seems desirable to have an elementary proof of it, and it is the purpose of this paper t(~ present such a proof. Our proof ...

A very simple test, introduced by Ziv, allows one to determine if an approximation to the value f(x) of an elementary function at a given point x suffices to return the floating-point number nearest f(x). The same test may be used when implementing floating-point operations with input and output operands of different formats, using arithmetic operators tailored for manipulating operands of the ...

We study the rate of growth of ergodic sums along a sequence (an) of times: SNf(x) = ∑ n≤N f(T nx). We characterize the maximal rate of growth and identify a number of sequences such as an = 2, along which the maximal rate of growth is achieved. We also return to Khintchine’s Strong Uniform Distribution Conjecture that the averages (1/N) ∑ n≤N f(nx mod 1) converge pointwise to ∫ f for integrabl...

Haruspex is a suite that supports a scenario-based assessment. In each scenario, intelligent agents compose elementary attacks against an ICT system to reach some predefined goals. Some Haruspex tools build the models of the target system and of the agents of interest. Using these model, further tools apply a Monte Carlo method with multiple, independent simulations of the agent attacks and ret...