In this paper, we introduce the concept of strongly binary g^⋆-closed sets in topological space and investigate group structure set all

We give an upper bound in O(d) for the number of critical points of a normal random polynomial. The number of minima (resp. maxima) is in O(d)Pn, where Pn is the (unknown) measure of the set of symmetric positive matrices in the Gaussian Orthogonal Ensemble GOE(n). Finally, we give a closed form expression for the number of maxima (resp. minima) of a random univariate polynomial, in terms of hy...

Recognizing human actions play an important role in applications like video surveillance. The recent past has witnessed an increasing research on view-invariant action recognition. Huang et al. proposed a framework based on discriminative model for human action recognition. This model uses STIP (Space – Time Interest Point) to extract motion features and view invariants. Then a discriminative m...

We give an upper bound in O(d) for the number of critical points of a normal random polynomial. The number of minima (resp. maxima) is in O(d)Pn, where Pn is the (unknown) measure of the set of symmetric positive matrices in the Gaussian Orthogonal Ensemble GOE(n). Finally, we give a closed form expression for the number of maxima (resp. minima) of a random univariate polynomial, in terms of hy...

We consider ergodic random Schrödinger operators on the metric graph Z with random potentials and random boundary conditions taking values in a finite set. We show that normalized finite volume eigenvalue counting functions converge to a limit uniformly in the energy variable. This limit, the integrated density of states, can be expressed by a closed Shubin-Pastur type trace formula. It support...

We consider ergodic random Schrödinger operators on the metric graph Z with random potentials and random boundary conditions taking values in a finite set. We show that normalized finite volume eigenvalue counting functions converge to a limit uniformly in the energy variable. This limit, the integrated density of states, can be expressed by a closed Shubin-Pastur type trace formula. It support...