We regularize in a continuous manner the path integral of QED by construction of a non-local version of its action by means of a regularized form of Dirac’s δ functions. Since the action and the measure are both invariant under the gauge group, this regularization scheme is intrinsically non-perturbative. Despite the fact that the non-local action converges formally to the local one as the cuto...

We consider the continual count tracking problem in a distributed environment where the input is anaggregate stream originating from k distinct sites and the updates are allowed to be non-monotonous, i.e. both incre-ments and decrements are allowed. The goal is to continually track the count within a prescribed relative accuracyat the lowest possible communication cost. Specifically...

‎In this paper‎, ‎first we study the weak and strong convergence of solutions to the‎ ‎following first order nonhomogeneous gradient system‎ ‎$$begin{cases}-x'(t)=nablaphi(x(t))+f(t), text{a.e. on} (0,infty)\‎‎x(0)=x_0in Hend{cases}$$ to a critical point of $phi$‎, ‎where‎ ‎$phi$ is a $C^1$ quasi-convex function on a real Hilbert space‎ ‎$H$ with ${rm Argmin}phineqvarnothing$ and $fin L^1(0...

We consider a public and keyless code (Enc,Dec) which is used to encode a message m and derive a codeword c = Enc(m). The codeword can be adversarially tampered via a function f ∈ F from some “tampering function family” F , resulting in a tampered value c′ = f(c). We study the different types of security guarantees that can be achieved in this scenario for different families F of tampering atta...

Using Toruńczyk’s charaterization theorem, we show that the space CB(X,Y ) of bounded continuous mappings from X into Y is a topological manifold modelled on the Hilbert space of weight 20 , with respect to the topology of uniform convergence, under the following three assumptions: (1) X is a noncompact, separable and metrizable space, (2) Y is a complete metric space which is an ANRU (ANR in u...

Parameterized Appearance Models (PAMs) such as Active Appearance Models (AAMs), Morphable Models and Boosted Appearance Models have been extensively used for face alignment. Broadly speaking, PAMs methods can be classified into generative and discriminative. Discriminative methods learn a mapping between appearance features and motion parameters (rigid and non-rigid). While discriminative appro...

in this paper, installment options on the underlying assetwhich evolves according to black-scholes model and pays constant dividendto its owner will be considered. applying arbitrage pricing theory,the non-homogeneous parabolic partial differential equation governingthe value of installment option is derived. then, penalty method is usedto value the european continuous installment call option.

an experiment was conducted to evaluate the effectiveness of chemical and non-chemical molting methods as compared to conventional feed removal methods with respect to the physiological response and postmolt performance in hy-line w36 laying hens. one hundred and eight 78-week-old hens were distributed among 27 groups of four birds and placed in cages so that the mean body weight of each cage w...