Shared information in stationary states at criticality

We consider bipartitions of one-dimensional extended systems whose probability distribution functions describe stationary states of stochastic models. We define estimators of the information shared between the two subsystems. If the correlation length is finite, the estimators stay finite for large system sizes. If the correlation length diverges, so do the estimators. The definition of the estimators is inspired by information theory. We look at several models and compare the behaviors of the estimators in the finite-size scaling limit. Analytical and numerical methods as well as Monte Carlo simulations are used. We show how the finite-size scaling functions change for various phase transitions, including the case where one has conformal invariance.

The web of connections between tourism companies: Structure and dynamics

Tourism destination networks are amongst the most complex dynamical systems, involving a myriad of human-made and natural resources. In this work we report a complex network-based systematic analysis of the Elba (Italy) tourism destination network, including the characterization of its structure in terms of several traditional measurements, the investigation of its modularity, as well as its comprehensive study in terms of the recently reported superedges approach. In particular, structural (the number of paths of distinct lengths between pairs of nodes, as well as the number of reachable companies) and dynamical features (transition probabilities and the inward/outward activations and accessibilities) are measured and analyzed, leading to a series of important findings related to the interactions between tourism companies. Among the several reported results, it is shown that the type and size of the Companies influence strongly their respective activations and accessibilities, while their geographical position does not seem to matter. It is also shown that the Elba tourism network is largely fragmented and heterogeneous, so that it could benefit from increased integration. (C) 2009 Elsevier B.V. All rights reserved.

Cellular automaton model for molecular traffic jams

We consider the time evolution of an exactly solvable cellular automaton with random initial conditions both in the large-scale hydrodynamic limit and on the microscopic level. This model is a version of the totally asymmetric simple exclusion process with sublattice parallel update and thus may serve as a model for studying traffic jams in systems of self-driven particles. We study the emergence of shocks from the microscopic dynamics of the model. In particular, we introduce shock measures whose time evolution we can compute explicitly, both in the thermodynamic limit and for open boundaries where a boundary-induced phase transition driven by the motion of a shock occurs. The motion of the shock, which results from the collective dynamics of the exclusion particles, is a random walk with an internal degree of freedom that determines the jump direction. This type of hopping dynamics is reminiscent of some transport phenomena in biological systems.

HOMEOMORPHISMS OF THE ANNULUS WITH A TRANSITIVE LIFT II

Let f be a homeomorphism of the closed annulus A that preserves the orientation, the boundary components and that has a lift (f) over tilde to the in finite strip (A) over tilde which is transitive. We show that, if the rotation number of (f) over tilde restricted to both boundary components of A is strictly positive, then there exists a closed nonempty connected set Gamma subset of (A) over tilde such that Gamma subset of] - infinity,0] x [0,1], Gamma is unbounded, the projection of to Gamma A is dense, Gamma - (1, 0) subset of Gamma and (f) over tilde(Gamma) subset of Gamma. Also, if p(1) is the projection on the first coordinate of (A) over tilde, then there exists d > 0 such that, for any (z) over tilde is an element of Gamma, lim sup (n ->infinity) p(1)((f) over tilde (n) ((Z) over tilde)) - p(1) ((Z) over tilde)/n < -d.

SUPPORT OF MAXIMIZING MEASURES FOR TYPICAL C(0) DYNAMICS ON COMPACT MANIFOLDS

Given a compact manifold X, a continuous function g : X -> IR, and a map T : X -> X, we study properties of the T-invariant Borel probability measures that maximize the integral of g. We show that if X is a n-dimensional connected Riemaniann manifold, with n >= 2, then the set of homeomorphisms for which there is a maximizing measure supported on a periodic orbit is meager. We also show that, if X is the circle, then the ""topological size"" of the set of endomorphisms for which there are g maximizing measures with support on a periodic orbit depends on properties of the function g. In particular, if g is C(1), it has interior points.

A DISCRETIZATION SCHEME FOR AN ONE-DIMENSIONAL REACTION-DIFFUSION EQUATION WITH DELAY AND ITS DYNAMICS

The goal of this paper is to present an approximation scheme for a reaction-diffusion equation with finite delay, which has been used as a model to study the evolution of a population with density distribution u, in such a way that the resulting finite dimensional ordinary differential system contains the same asymptotic dynamics as the reaction-diffusion equation.

Fibonacci bimodal maps

We introduce the Fibonacci bimodal maps on the interval and show that their two turning points are both in the same minimal invariant Cantor set. Two of these maps with the same orientation have the same kneading sequences and, among bimodal maps without central returns, they exhibit turning points with the strongest recurrence as possible.

CONTINUITY OF GLOBAL ATTRACTORS FOR A CLASS OF NON LOCAL EVOLUTION EQUATIONS

In this work we prove that the global attractors for the flow of the equation partial derivative m(r, t)/partial derivative t = -m(r, t) + g(beta J * m(r, t) + beta h), h, beta >= 0, are continuous with respect to the parameters h and beta if one assumes a property implying normal hyperbolicity for its (families of) equilibria.

Stabilizing Nonstationary Electrochemical Time Series

Electrochemical systems are ideal working-horses for studying oscillatory dynamics. Experimentally obtained time series, however, are usually associated with a spontaneous drift in some uncontrollable parameter that triggers transitions among different oscillatory patterns, despite the fact that all controllable parameters are kept constant. Herein we present an empirical method to stabilize experimental potential time series. The method consists of applying a negative galvanodynamic sweep to compensate the spontaneous drift and was tested for the oscillatory electro-oxidation of methanol on platinum. For a wide range of applied currents, the base system presents spontaneous transitions from quasi-harmonic to mixed mode oscillations. Temporal patterns were stabilized by galvanodynamic sweeps at different rates. The procedure resulted in a considerable increase in the number of oscillatory cycles from 5 to 20 times, depending on the specific temporal pattern. The spontaneous drift has been associated with uncompensated oscillations, in which the coverage of some adsorbed species are not reestablished after one cycle; i.e., there is a net accumulation and/or depletion of adsorbed species during oscillations. We interpreted the rate of the galvanodynamic sweep in terms of the time scales of the poisoning processes that underlies the uncompensated oscillations and thus the spontaneous slow drift.

Resan till samhället : En kvalitativ utvärderingsstudie av en mottagningsenhet i mellansverige

In present study interviews with five officials and the gathering of documentation carried out in a reception center for newly arrived refugees located in a medium-sized municipality in central Sweden. The aim has been on the basis of the collected empirical data to evaluate how the municipality worked to promote the integration of newcomers, what measures were available, whether there were existing goals, and how they were formulated, and the extent to which they were implemented. This constituted, together with earlier research and systems theory based framework for the study's conclusions. The study showed that communication between and within the investigated unit was partly flawed. It has also showed that there was a degree of conflict in organizational approaches within the examined entity which could cause bottlenecks in the activity. The current study also showed the difficulty in estimating the resources currently needed to cover the need of, among others, Swedish for immigrants.

A regulação descentralizada da governança corporativa: uma análise da criação dos segmentos de listagem do mercado organizado de valores mobiliários administrado pela Bovespa

O presente trabalho tem como objetivo analisar pela perspectiva da regulação descentralizada a criação dos segmentos de listagem do mercado de valores mobiliários administrado pela Bovespa. O objetivo de analisar a criação dos segmentos de listagem inclui a descrição do fenômeno para apontar fatores que levaram as companhias e controladores a alterarem seus comportamentos e a construção de um argumento normativo formulado a partir do reconhecimento desses fatores. No debate sobre regulação da Governança Corporativa, o conceito de regulação normalmente assume uma definição centrada no Estado. Grande parte da análise da criação dos segmentos de listagem do mercado administrado pela Bovespa seguiu essa perspectiva. A criação dos segmentos de listagem, então, foi classificada como um fenômeno autorregulatório, privado e de mercado. Dessa análise seguiu a formulação de um argumento normativo, o qual prescreveu o uso da autorregulação a atores que visassem estabelecer regras específicas de Governança Corporativa. Contudo, a perspectiva da regulação descentralizada questionou o pressuposto da centralidade do Estado no conceito de regulação. A perspectiva da regulação descentralizada sustentou que não só atores estatais estão cada vez mais envolvidos com atores não estatais em complexas colaborações e delegações para o exercício da regulação, como também sustentou que atores não estatais exercem regulação, incluindo, a formulação, monitoramento e enforcement de regras. Para lidar com essa complexidade dos fenômenos empíricos regulatórios, Julia Black, baseando-se na teoria dos sistemas e na literatura de Governança, formulou o conceito de regulação descentralizada. Pelo conceito de regulação descentralizada, a regulação é exercida por uma rede de atores interdependentes, estatais e não estatais, que utilizam mecanismos legais e extralegais para o exercício do poder e do controle. Diante disso, adotando esse conceito de regulação descentralizada de Julia Black, o presente trabalho pretendeu descrever a criação dos segmentos de listagem e formular um argumento normativo baseado nessa descrição. Como resultado da pesquisa realizada, foi possível concluir que a criação dos segmentos de listagem não se restringiu às partes que celebraram o Contrato de Participação, mas envolveu diversos atores, estatais e não estatais, os quais tinham uma relação de interdependência entre si e compartilharam diversos mecanismos no exercício da regulação. Com isso, não se pode resumir os fatores que fizeram com que companhias e controladores alterassem seus comportamentos e adotassem algumas regras de Governança Corporativa à voluntariedade e ao aspecto autorregulatório. Desta análise segue que, se é possível apontar para um argumento normativo do caso da criação dos segmentos de listagem, o argumento normativo não é a prescrição da autorregulação, mas sim a prescrição do uso do poder regulatório fragmentado entre diversos atores, estatais e não estatais.