Let M be a manifold equipped (locally) with a pair of complementary foliations. In Catuogno, da Silva and Ruffino [4], it is shown that, up to a stopping time τ , a stochastic flow of local diffeomorphisms φt in M can be decomposed in diffeomorphisms that preserves this foliations. In this article we present techniques which allow us to extend the time of this decomposition. For this extension,...

The infinite Ramsey theorem is known to be equivalent to the statement ‘for every set X and natural number n, the n-th Turing jump of X exists’, over RCA0 due to results of Jockusch [5]. By subjecting the theory RCA0 augmented by the latter statement to an ordinal analysis, we give a direct proof of the fact that the infinite Ramsey theorem has proof-theoretic strength εω. The upper bound is ob...

Spatially homogeneous random walks in (Z+) 2 with non-zero jump probabilities at distance at most 1, with non-zero drift in the interior of the quadrant and absorbed when reaching the axes are studied. Absorption probabilities generating functions are obtained and the asymptotic of absorption probabilities along the axes is made explicit. The asymptotic of the Green functions is computed along ...

We show the existence of a subalgebra A ⊆ P(ω) that satisfies the following three conditions: • A is Borel (when P(ω) is identified with 2). • A is arithmetically closed (i.e., A is closed under the Turing jump, and Turing reducibility). • The forcing notion (A,⊆) modulo the ideal FIN of finite sets collapses the continuum to א0.

The effects of plasma from normal subjects and chronic schizophrenic patients were determined on the rate of learning a pole jump response in rats. The animals were trained to a buzzer CS and electroshock US. Mean trials to a 90 per cent avoidance criterion were determined using a 100 trial cut off. Plasma and other control solutions were given intraperitoneally in the morning and the procedure...

insulin – like growth factor – i (igf-1) plays a role in the skeletal muscle in the development, growth, repair, and maintenance of the tissues in an autocrine / paracrine as well as endocrine fashion. the aim of the present study was to investigate the response of growth factors to two different training methods. 14 male volunteers were selected and divided randomly into two groups. group a (p...

let  be a banach algebra. let  be linear mappings on . first we demonstrate a theorem concerning the continuity of double derivations; especially that all of -double derivations are continuous on semi-simple banach algebras, in certain case. afterwards we define a new vocabulary called “-higher double derivation” and present a relation between this subject and derivations and finally give some ...

In this paper jump transitions for the fluid model part in second order fluid stochastic Petri nets (FSPNs) are introduced. The extended formalism is defined, and the underlying partial differential equations are derived. With a jump a certain amount of fluid is added to a fluid place or taken out at once. This amount, the jump height, is sampled from a probability distribution. The dynamics of...