The notion of two-scale convergence for sequences of Radon measures with finite total variation is generalized to the case of multiple periodic length scales of oscillations. The main result concerns the characterization of (n+1)-scale limit pairs (u,U) of sequences {(u"LNb⌦, Du"b⌦)}">0 ⇢M(⌦;Rd) ⇥M(⌦;Rd⇥N) whenever {u"}">0 is a bounded sequence in BV (⌦;Rd). This characterization is useful in the study of the asymptotic behavior of periodically oscillating functionals with linear growth, defined in the space BV of functions of bounded variation and described by n 2 N microscales, undertaken in [10]
Abstract. For any dynamical system, we show that higher variation-norms for the sequence of ergodic ...
[[abstract]]The limiting distributions of the sums of the lengths of four different kinds of runs of...
The thesis is made up of a number of studies involving long-range dependence (LRD), that is, a slow...
We extend the notion of two-scale convergence introduced by G. Nguetseng and G. Allaire to the case ...
In this paper, we consider two-scale limits obtained with increasing homogenization periods, each pe...
summary:A general concept of two-scale convergence is introduced and two-scale compactness theorems ...
International audienceFollowing an idea of G. Nguetseng, we define a notion of "two-scale" convergen...
The familiar cascade measures are sequences of random positive measures obtained on [0, 1] via b-adi...
The aim of the paper is to introduce an alternative notion of two-scale convergence which gives a mo...
summary:We characterize some $G$-limits using two-scale techniques and investigate a method to detec...
In this thesis we investigate Limit Cycles in Quantum Systems. Limit cycles are a renormalization gr...
summary:Two-scale convergence is a powerful mathematical tool in periodic homogenization developed f...
The introduced notion of locally periodic two-scale convergence allows one to average a wider range ...
Abstract. We discuss two new concepts of convergence in Lp-spaces, the so-called weak Σ-convergence ...
AbstractThe sequence {Fn(z)} is one kind of generalization of limit periodic continued fractions. Th...
Abstract. For any dynamical system, we show that higher variation-norms for the sequence of ergodic ...
[[abstract]]The limiting distributions of the sums of the lengths of four different kinds of runs of...
The thesis is made up of a number of studies involving long-range dependence (LRD), that is, a slow...
We extend the notion of two-scale convergence introduced by G. Nguetseng and G. Allaire to the case ...
In this paper, we consider two-scale limits obtained with increasing homogenization periods, each pe...
summary:A general concept of two-scale convergence is introduced and two-scale compactness theorems ...
International audienceFollowing an idea of G. Nguetseng, we define a notion of "two-scale" convergen...
The familiar cascade measures are sequences of random positive measures obtained on [0, 1] via b-adi...
The aim of the paper is to introduce an alternative notion of two-scale convergence which gives a mo...
summary:We characterize some $G$-limits using two-scale techniques and investigate a method to detec...
In this thesis we investigate Limit Cycles in Quantum Systems. Limit cycles are a renormalization gr...
summary:Two-scale convergence is a powerful mathematical tool in periodic homogenization developed f...
The introduced notion of locally periodic two-scale convergence allows one to average a wider range ...
Abstract. We discuss two new concepts of convergence in Lp-spaces, the so-called weak Σ-convergence ...
AbstractThe sequence {Fn(z)} is one kind of generalization of limit periodic continued fractions. Th...
Abstract. For any dynamical system, we show that higher variation-norms for the sequence of ergodic ...
[[abstract]]The limiting distributions of the sums of the lengths of four different kinds of runs of...
The thesis is made up of a number of studies involving long-range dependence (LRD), that is, a slow...