Due to the best-effort nature of the Internet, delay and delay jitter observed by a session always fluctuate, even if it generates CBR (Constant Bit Rate) traffic. Buffering at a host and packet scheduling at routers would solve the problem to some extent, but they require prior knowledge of delay variation and traffic characteristics. In this paper, we propose a novel rate control mechanism to...

We address in this paper the study of a geometric evolution, corresponding to a curvature which is non-local and singular at the origin. The curvature represents the first variation of the energy Mρ(E) defined in (1.1), proposed in a recent work [5] as a variant of the standard perimeter penalization for the denoising of nonsmooth curves. To deal with such degeneracies, we first give an abstrac...

In this paper we introduce a framework for best first search of minimax trees. Existing best first algorithms like SSS* and DUAL* are formulated as instances of this framework. The framework is built around the Alpha-Beta procedure. Its instances are highly practical, and readily implementable. Our reformulations of SSS* and DUAL* solve the perceived drawbacks of these algorithms. We prove thei...

In this paper we give sufficient conditions for a bang-bang regular extremal to be a strong local optimum for a control problem in the Mayer form; strong means that we consider the C0 topology in the state space. The controls appear linearly and take values in a polyhedron, and the state space and the end point constraints are finite-dimensional smooth manifolds. In the case of bang-bang extrem...

We prove the convergence of phase-field approximations of the Gibbs–Thomson law. This establishes a relation between the first variation of the Van-der-Waals–Cahn–Hilliard energy and the first variation of the area functional. We allow for folding of diffuse interfaces in the limit and the occurrence of higher-multiplicities of the limit energy measures. We show that the multiplicity does not a...

There has been a recent trend towards an all-IP network as it provides for cost-savings together with optimized network and ease of use. Owing to explosive growth of wireless users and growing demand of wireless services, the internet body IETF has developed mobility management schemes to enhance IPv6 in mobility scenarios for wireless subscribers. These IPv6-based mobility management schemes a...

In this paper we present two variations of the notion of co-soundness previously defined and used by [Groth et al. EUROCRYPT 2006] in the common reference string model. The first variation holds in the Bare Public-Key (BPK, for short) model and closely follows the one of [Groth et al. EUROCRYPT 2006]. The second variation (which we call weak co-soundness) is a weaker notion since it has a stron...

With a view toward a numerical solution by means of the finite-element method, we give here a variational statement for large elastic deformations at finite strains which involves independent variation of the displacement, the (nonsymmetric first Piola-Kirclihoff) stress, and the deformation-gradient fields, and which includes both the boundary and the jump conditions. Then we present, for smal...

The best Sobolev trace constant is given by the first eigenvalue of a Steklov-like problem. We deal with minimizers of the Rayleigh quotient ‖u‖2 H1(Ω) /‖u‖2 L2(∂Ω) for functions that vanish in a subset A ⊂ Ω, which we call the hole. We look for holes that minimize the best Sobolev trace constant among subsets of Ω with prescribed volume. First, we find a formula for the first variation of the ...

This paper aims at building a unified framework to deal with a wide class of local and nonlocal translation-invariant geometric flows. We introduce a class of nonlocal generalized mean curvatures and prove the existence and uniqueness for the level set formulation of the corresponding geometric flows. We then introduce a class of generalized perimeters, whose first variation is an admissible ge...