The multipliers of periodic points in one-dimensional dynamics

It will be shown that the smooth conjugacy class of an $S-$unimodal map which does not have a periodic attractor neither a Cantor attractor is determined by the multipliers of the periodic orbits. This generalizes a result by M.Shub and D.Sullivan for smooth expanding maps of the circle

Density Induced Quantum Phase Transitions in Triplet Superconductors

We consider the possibility of quantum phase transitions in the ground state of triplet superconductors where particle density is the tunning parameter. For definiteness, we focus on the case of one band quasi-one-dimensional triplet superconductors but many of our conclusions regarding the nature of the transition are quite general. Within the functional integral formulation, we calculate the electronic compressibility and superfluid density tensor as a function of the particle density for various triplet order parameter symmetries and find that these quantities are non-analytic when a critical value of the particle density is reached.Comment: 4 pages, 3 figure

A renormalization fixed point for Lorenz maps

A Lorenz map is a Poincar\'e map for a three-dimensional Lorenz flow. We describe the theory of renormalization for Lorenz maps with a critical point and prove that a restriction of the renormalization operator acting on such maps has a hyperbolic fixed point. The proof is computer assisted and we include a detailed exposition on how to make rigorous estimates using a computer as well as the implementation of the estimates.Comment: 29 pages, 2 figure

Topological insulator particles as optically induced oscillators: towards dynamical force measurements and optical rheology

We report the first experimental study upon the optical trapping and manipulation of topological insulator (TI) particles. By virtue of the unique TI properties, which have a conducting surface and an insulating bulk, the particles present a peculiar behaviour in the presence of a single laser beam optical tweezers: they oscillate in a plane perpendicular to the direction of the laser propagation, as a result of the competition between radiation pressure and gradient forces. In other words, TI particles behave as optically induced oscillators, allowing dynamical measurements with unprecedented simplicity and purely optical control. Actually, optical rheology of soft matter interfaces and biological membranes, as well as dynamical force measurements in macromolecules and biopolymers, may be quoted as feasible possibilities for the near future.Comment: 6 pages, 5 figures. Correspondence and requests for Supplementary Material should be addressed to [email protected]

Rendimento de espiga verde de milho em resposta à adubação nitrogenada.

O experimento foi executado, sob regime de sequeiro, em solo de textura média, no município de Teresina, PI, no período de janeiro a março de 2004. Utilizou-se o delineamento experimental de blocos casualizados com quatro repetições e cinco doses de nitrogênio (0, 50, 100, 150 e 200 kg de N ha-1). Foi observado efeito quadrático para o rendimento de espigas verdes com e sem palha sendo os máximos rendimentos (22.178 e 13.321 kg ha-1) obtidos com 108 e 125 kg de N ha-1, respectivamente. O aumento médio nos rendimentos de espigas verde com e sem palha devido ao nitrogênio foram de 32,4% e 35,3%.Edição dos Anais do 47° Congresso Brasileiro de Olericultura; 4º Simpósio Brasileiro sobre Cucurbitáceas, Porto Seguro, ago. 2007. 1 CD-ROM

Pulverizações foliares de cálcio em pessegueiros cultivados na Serra Gaúcha do Rio Grande do Sul e alterações no teor de nutrientes na folha, no fruto e rendimento.

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