2. Theorem. Let £ be a reflexive B-space and let (S, 2, m) be a a-finite measure space. Let there be defined on S a strongly measurable function Ts with values in the B-space B(H) of bounded linear operators on H. Suppose that || 7\|| ^=1 for all sES. Let h be a measure-preserving transformation (m.p.t.) in (S, 2, m). Then for each XELi(S, £) there is an XELi(S, X) such that limn<„ «_1E"=i T*Th...

We consider a smooth bracket generating control-affine system in Rd and show that any orientation preserving diffeomorphism of Rd can be approximated, in the very strong sense, by a diffeomorphism included in the flow generated by a time-varying feedback control which is polynomial with respect to the state variables and trigonometricpolynomial with respect to the time variable .

We consider the effect of noise on the dynamics generated by volume-preserving maps on a d-dimensional torus. The quantity we use to measure the irreversibility of the dynamics is the dissipation time. We focus on the asymptotic behaviour of this time in the limit of small noise. We derive universal lower and upper bounds for the dissipation time in terms of various properties of the map and it...

the synthesis of nano- structured cobalt through a controlled chemical process followed by heat treating at various temperatures is studied. the product is characterized by icp, xrd, fesem , and tem, indicating that the as- synthesized particles have an amorphous structure with 1.76 for co/b ratio, an average size of 50 nm. the transformation of intermediate phases into single phase nano- cryst...

nonstandard finite difference schemes for the black-scholes partial differential equation preserving the positivity property are proposed. computationally simple schemes are derived by using a nonlocal approximation in the reaction term of the black-scholes equation. unlike the standard methods, the solutions of new proposed schemes are positive and free of the spurious oscillations.

Despite official bans, public criticism and concern over pollution, plastics are widely used in Buddhist material culture the Indian Himalayan state of Sikkim. Using framework seven bowls water offerings, undertaken every morning to Buddhas deities domestic shrine rooms, ethnographic observations, as a way frame discussions changing culture, I will interrogate how waste is re-purposed Sikkimese...

Unifying approaches by amongst others Archimedes, Kepler, Goldberg, Caspar and Klug, Coxeter, Conway, extending on a previous formalization of the concept local symmetry preserving (lsp) operations, we introduce formal definition operations plane graphs that preserve orientation-preserving symmetries, but not necessarily orientation-reversing symmetries. This include, e.g., chiral Goldberg Conw...

We show that volume-preserving perturbations of some product actions of property (T) groups exhibit a “foliation rigidity” property, which reduces the partially hyperbolic action to a family of hyperbolic actions. This is used to show that certain partially hyperbolic actions are locally rigid.