In this paper we study the topological directional entropy of 2  -actions by generated linear cellular automata (CA hereafter), defined by a local rule f[l,r], l, r , l  r, i.e. the maps Tf[l, r]: m m      which are given by Tf[l, r](x) = ( ) n n y   , yn = f(xn+l, ..., xn+r) = r x i n i i l     (mod m), x=    n n x ) (  m   and f: 1 r l m     Zm, over the ring Zm (m...

We study joint chance constraints where the distribution of the uncertain parameters is onlyknown to belong to an ambiguity set characterized by the mean and support of the uncertaintiesand by an upper bound on their dispersion. This setting gives rise to pessimistic (optimistic)ambiguous chance constraints, which require the corresponding classical chance constraints to bes...

We are interested, with respect to the small parameter , in the behavior of solutions ρ of the conservative advection-diffusion equation ∂tρ + ∇x · (ρ u ) = η∆xρ , driven by a large velocity field, |u | = O(1/ ), which oscillates periodically with respect to time and space variables. The novelty of our approach compared to that of previous works is that we deal with the periodic case in its ful...

A comparative analysis of the efficiency of correlation (cross-correlation, Tanimoto coefficient and Kendall's rank correlation coefficient) and information (mutual information of Tsallis and Shannon, F-information measure and entropy of the joint probability distribution) measures of image similarity for the synthesis of recursive estimation algorithms is presented for the problem of estimatin...

An interesting and useful analogy can be drawn between the equations of static poroelasticity and the equations of thermoelasticity including entropy. The correspondence is of practical use in determining the effective parameters in an inhomogeneous poroelastic medium using known results from the literature on the effective thermal expansion coefficient and the effective heat capacity of a diso...

We study the uniqueness and regularity of the steady states of the diffusively driven Boltzmann equation in the physically relevant case where the restitution coefficient depends on the impact velocity including, in particular, the case of viscoelastic hard-spheres. We adopt a strategy which is novel in several aspects, in particular, the study of regularity does not requires a priori knowledge...

OBJECTIVES Spectral entropy quantifies variations in cortical electrical activity measured by electroencephalography and frontal activity measured by electromyography. The aim of this study, in the context of general anesthesia, was to compare bispectral index values with the two components of spectral entropy: state entropy and response entropy. MATERIAL AND METHODS Sixteen women (ASA I-II) ...

We study the time evolution of a chain of nonlinear oscillators. We focus on the fractal features of the spectral entropy and analyze its characteristic intermediate time scales as a function of the nonlinear coupling. A Brownian motion is recognized with an analytic power-law dependence of its diffusion coefficient on the coupling.