Measure and integral : new foundations after one hundred years

The present article aims to describe the main ideas and developments in the theory of measure and integral in the course and at the end of the first century of its existence

Central limit theorems for additive functionals of ergodic Markov diffusions processes

We revisit functional central limit theorems for additive functionals of ergodic Markov diffusion processes. Translated in the language of partial differential equations of evolution, they appear as diffusion limits in the asymptotic analysis of Fokker-Planck type equations. We focus on the square integrable framework, and we provide tractable conditions on the infinitesimal generator, including degenerate or anomalously slow diffusions. We take advantage on recent developments in the study of the trend to the equilibrium of ergodic diffusions. We discuss examples and formulate open problems

SUSY Scaling Violations and UHECR

Advancing QCD toward astroparticle applications generates new challenges for perturbation theory, such as the presence of large evolution scales with sizeable scaling violations involving both the initial and the final state of a collision. Possible applications in the context of Ultra High Energy Cosmic Rays (UHECR) of these effects are discussed.Comment: 7 pages. 3 figures. Presented by C. Coriano at the Intl. Workshop ``QCD @ work'', Martina Franca, Italy 16-20 June 200

HEALTH-SAVING TECHNOLOGIES, REHABILITATION AND PHYSICAL THERAPY

The collection presents articles on the problems of constructing sports training, theoretical, methodological, medical, biological, psychological and pedagogical problems of physical education and sports, rehabilitation and physical therapy, theoretical and methodological bases for the development and improvement of technologies for maintaining health by means of physical culture and sports and physical therapy.For postgraduate students, doctoral students, masters, coaches, athletes, physical therapists, rehabilitologists, teachers of secondary schools, teachers of secondary schools

Health-saving technoligies, rehabilitation and physical therapy

The collection presents articles on the problems of constructing sports training, theoretical, methodological, medical, biological, psychological and pedagogical problems of physical education and sports, rehabilitation and physical therapy, theoretical and methodological bases for the development and improvement of technologies for maintaining health by means of physical culture and sports and physical therapy.For postgraduate students, doctoral students, masters, coaches, athletes, physical therapists, rehabilitologists, teachers of secondary schools, teachers of secondary schools.The collection presents articles on the problems of constructing sports training, theoretical, methodological, medical, biological, psychological and pedagogical problems of physical education and sports, rehabilitation and physical therapy, theoretical and methodological bases for the development and improvement of technologies for maintaining health by means of physical culture and sports and physical therapy.For postgraduate students, doctoral students, masters, coaches, athletes, physical therapists, rehabilitologists, teachers of secondary schools, teachers of secondary schools

A COMMON FIXED POINT THEOREM Cheh-Chih

Many authors have defined contractive mappings on a complete metric space which are generalizations of the well-known Banach contraction, and which have the property that each such mapping has a unique fixed point. This contractive mapping principle has been one of the simplest and most useful tools in the study of nonlinear problems. During the past two decades, there has grown an extensive literature devoted to sharper forms of the contractive mapping principle. In one of the papers by Rhoades [5], 125 contractive definitions were listed; the most general fixed point theorems were stated, analysed and compared in it. Recently, Rhoades [6] proved the following interesting result: THEOREM A. Let X be a metric space with two metrics d and 6 satisfying the following conditions: (i) $(x,y) •< d(x,y) for each x,y in X, (ii) X is complete with respect to •, (iii) S,T: X •-X are continuous with respect to • and satisfying the followin