Abstract In this paper, we generalize the original idea of Thurston for so-called Mather-Thurston’s theorem foliated bundles to prove new variants PL homeomorphisms and contactormorphisms. These versions answer questions posed by Gelfand-Fuks ([GF73, Section 5]) Greenberg ([Gre92]) on foliations Rybicki ([Ryb10, 11]) contactomorphisms. The interesting point about Thurston’s technique compared b...

In 1996, Ricardo Ricardo Mañé discovered that Mather measures are in fact the minimizers of a ”universal” infinite dimensional linear programming problem. This fundamental result has many applications, one of the most important is to the estimates of the generic number of Mather measures. Mañé obtained the first estimation of that sort by using finite dimensional approximations. Recently, we we...

INTRODUCTION Prematurity is the leading cause of newborn death in Uganda, accounting for 38% of the nation's 39,000 annual newborn deaths. Kangaroo mother care is a high-impact; cost-effective intervention that has been prioritized in policy in Uganda but implementation has been limited. METHODS A standardised, cross-sectional, mixed-method evaluation design was used, employing semi-structure...

AIM To describe the outcomes of low-birth-weight babies using an 'early discharge' Kangaroo care policy and to identify barriers to their follow-up. METHODS Prospective descriptive study of all 272 babies admitted to a Kangaroo Care Ward in Malawi from November 2003 to May 2004. Infants were discharged to outpatient care once weighing over 1300 g and gaining weight. Follow-up was carried out ...

Background: Due to the higher risk of pain in preterm infants, pain management is important for such infants. The present study aimed to determine the effectiveness of kangaroo care on the severity of pain and physiological parameters after heel-stick in preterm infants. Materials and Methods: This was a prospective and randomized controlled cross-over study. Twenty preterm infants allocated in...

INTRODUCTION Re-establishing breastfeeding (relactation) is necessary in preterm infants who are deprived of breastfeeding due to hospitalized in the neonatal intensive care unit (NICU). Although NICU nurses train mothers about breastfeeding and relactation to some degree, there exists a lack of support or evaluation for restarting breastfeeding. The present study tried to determine the effects...

Mather variational principle, introduced by John N. Mather in [18, 19], is an important tool in Lagrangian dynamic. In recent years, several authors have studied this topic in connections with various fields such as weak Kam Theory ([5, 7, 10, 11]), Monge-Kantorovich mass transportation and geometric measure theory ([3, 4, 6, 13, 14]). In this paper we discuss a finite dimensional approximation...

In this paper we discuss a stochastic analog of AubryMather theory in which a deterministic control problem is replaced by a controlled diffusion. We prove the existence of a minimizing measure (Mather measure) and discuss its main properties using viscosity solutions of Hamilton-Jacobi equations. Then we prove regularity estimates on viscosity solutions of HamiltonJacobi equation using the Mat...

In this paper we discuss the Mather problem for stationary Lagrangians, that is Lagrangians L : R × R × Ω → R, where Ω is a compact metric space on which R acts through an action which leaves L invariant. This setting allow us to generalize the standard Mather problem for quasi-periodic and almost-periodic Lagrangians. Our main result is the existence of stationary Mather measures invariant und...