Abstract We give two double copy prescriptions which construct asymptotically flat solutions in gravity from gauge fields. The first prescription applies to radiative fields, are non-linear vacuum determined by characteristic data at null infinity. For any such fields (linear or non-linear), the of a metric, dilaton and axion is constructed simple ‘squaring’ procedure, giving classical level ra...

This article describes the asymptotic properties of local polynomial regression estimators for univariate and additive models when observation weights are included. Such weighted additive models are a crucial component of local scoring, the widely used estimation algorithm for generalized additive models described in Hastie and Tibshirani (1990). The statistical properties of the univariate loc...

Keywords: Monotone measure Atom Weak null-additivity Regularity Sugeno integral Choquet integral a b s t r a c t In this paper, we prove some properties of atoms of weakly null-additive monotone measures. By using the regularity and weak null-additivity, a sin-gleton characterization of atoms of monotone measures on a metric space is shown. It is a generalization of previous results obtained by...

The null energy condition (NEC), an important assumption of the Penrose singularity theorem, is violated by quantum fields. natural generalization NEC in field theory, renormalized averaged over a finite segment, known to be unbounded from below. Here, we propose alternative, double smeared (DSNEC), stating that two directions has lower bound. We rigorously derive DSNEC general worldvolume boun...

In this paper, a bifurcation analysis is undertaken for a discrete-time Hopfield neural network of two neurons with two different delays and self-connections. Conditions ensuring the asymptotic stability of the null solution are found, with respect to two characteristic parameters of the system. It is shown that for certain values of these parameters, fold or Neimark-Sacker bifurcations occur, ...

We study the estimation of the additive components in additive regression models, based on the weighted sample average of regression surface, for stationary-mixing processes. Explicit expression of this method makes possible a fast computation and allows an asymptotic analysis. The estimation procedure is especially useful for additive modeling. In this paper, it is shown that the average surfa...

We investigate the existence of subsets A and B $${\mathbb {N}}:=\{0,1,2,\dots \}$$ , such that sumset $$A+B:=\{a+b:a\in A,b\in B\}$$ has prescribed asymptotic density. solve particular case in which is a given finite subset {N}}$$ also when $$B=A$$ ; later case, we generalize our result to $$kA:=\{x_1+\cdots +x_k: x_i\in A, i=1,\dots ,k\}$$ for an integer $$k\ge 2.$$

We consider the problem of minimizing relative perimeter under a volume constraint in an unbounded convex body C ⊂ ...

We review recent HERA data on the structure function F2 at small x and large Q . We show that the salient features of the data are revealed by comparing them to the double asymptotic scaling behaviour which F2 is predicted to satisfy in perturbative QCD. Invited talk given at