Análise funcional e aplicações

Pós-graduação em Matemática Universitária - IGCE

Sentidos de percepção e educação matemática: geometria dinâmica e ensino de funções com auxílio de representações dinâmicas

Pós-graduação em Educação Matemática - IGCE

On the properness of an impulsive control extension of dynamic optimization problems

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

On Properness of Impulsive Extension

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Charakterisierung und Konvergenz mehrdimensionaler kontinuierlicher Verzweigungsprozesse

In dieser Arbeit wird eine Klasse von stochastischen Prozessen untersucht, die eine abstrakte Verzweigungseigenschaft besitzen. Die betrachteten Prozesse sind homogene Markov-Prozesse in stetiger Zeit mit Zuständen im mehrdimensionalen reellen Raum und dessen Ein-Punkt-Kompaktifizierung. Ausgehend von Minimalforderungen an die zugehörige Übergangsfunktion wird eine vollständige Charakterisierung der endlichdimensionalen Verteilungen mehrdimensionaler kontinuierlicher Verzweigungsprozesse vorgenommen. Mit Hilfe eines erweiterten Laplace-Kalküls wird gezeigt, dass jeder solche Prozess durch eine bestimmte spektral positive unendlich teilbare Verteilung eindeutig bestimmt ist. Umgekehrt wird nachgewiesen, dass zu jeder solchen unendlich teilbaren Verteilung ein zugehöriger Verzweigungsprozess konstruiert werden kann. Mit Hilfe der allgemeinen Theorie Markovscher Operatorhalbgruppen wird sichergestellt, dass jeder mehrdimensionale kontinuierliche Verzweigungsprozess eine Version mit Pfaden im Raum der cadlag-Funktionen besitzt. Ferner kann die (funktionale) schwache Konvergenz der Prozesse auf die vage Konvergenz der zugehörigen Charakterisierungen zurückgeführt werden. Hieraus folgen allgemeine Approximations- und Konvergenzsätze für die betrachtete Klasse von Prozessen. Diese allgemeinen Resultate werden auf die Unterklasse der sich verzweigenden Diffusionen angewendet. Es wird gezeigt, dass für diese Prozesse stets eine Version mit stetigen Pfaden existiert. Schließlich wird die allgemeinste Form der Fellerschen Diffusionsapproximation für mehrtypige Galton-Watson-Prozesse bewiesen.

Teoremas de tipo Hilbert e Liebmann para superfícies em S² x R e H² x R

Neste trabalho será demonstrada uma versão dos teoremas de Hilbert Liebmann para superfícies em S² x R e H² x R, que são teoremas de existência e unicidade de superfícies completas com curvatura Gaussiana constante nesses ambientes. Como parte da demonstração, a saber a existência, será apresentada uma classificação das superfícies de revolução completas com curvatura Gaussiana constante em torno de um eixo qualquer, em S² x R e em torno de um eixo lorentziano, em H² x R.

Photo-era magazine.

Editors: May-Nov. 1898, J. C. Abel and others.-Dec. 1898-Dec. 1906, T. H. Cummings and others.-Jan. 1907-Nov. 1924, W. A. French and others.-Dec. 1924-Mar. 1932, A. H. Beardsley.

An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform

Mathematics Subject Classification: Primary 35R10, Secondary 44A15

Lp Microlocal Supercritical Markov Branching Processes with Non-Homogeneous Poisson Immigration

2010 Mathematics Subject Classification: 60J80.

designing + (dis)assembling disputes: an ethnography of disputes & lawyers in the construction industry

The UK construction industry is notorious for the sheer amount of disputes which are likely to arise on each building and engineering project. Despite numerous creative attempts at “dispute avoidance” and “dispute resolution”, this industry is still plagued with these costly disputes. Whilst both academic literature and professional practices have investigated the causes of disputes and the mechanisms for avoidance/resolution of these disputes, neither has studied in any detail the nature of the construction disputes and why they develop as they do once a construction lawyer is engaged. Accordingly, this research explores the question of what influences the outcome of a construction dispute and to what extent do construction lawyers control or direct this outcome? The research approach was ethnographic. Fieldwork took place at a leading construction law firm in London over 18 months. The primary focus was participant observation in all of the firm’s activities. In addition, a database was compiled from the firm’s files and archives, thus providing information for quantitative analysis. The basis of the theoretical framework, and indeed the research method, was the Actor‐Network Theory (ANT). As such, this research viewed a dispute as a set of associations – an entity which takes form and acquires its attributes as a result of its relations with other entities. This viewpoint is aligned with relational contract theories, which in turn provides a unified platform for exploring the disputes. The research investigated the entities and events which appeared to influence the dispute’s identity, shape and outcome. With regard to a dispute’s trajectory, the research took as its starting point that a dispute follows the transformation of “naming, blaming, claiming…”, as identified by Felstiner, Abel and Sarat in 1980. The research found that construction disputes generally materialise and develop prior to any one of the parties approaching a lawyer. Once the lawyer is engaged, we see the reverse of the trajectory “naming, blaming, claiming…” this being: “claiming, blaming, naming…” The lawyers’ role is to identify or name (or rename) the dispute in the best possible light for their client in order to achieve the desired outcome – the development of which is akin to the design process. The transformation of a dispute and the reverse trajectory is by no means linear, but rather, iterative and spatial as it requires alliances, dependencies and contingencies to assemble and take the shape it does. The research concludes that construction disputes are rarely ever completely “resolved” as such. Whilst an independent third party may hand down a judgment, or the parties may reach a settlement agreement, this state is only temporal. Some construction disputes dissipate whist others reach a state of hibernation for a period of time only to pick up momentum and energy some years later. Accordingly, this research suggests that the concept of “dispute resolution” does not exist in the UK construction industry. The ultimate goal should be for parties to reach this ultimate and perpetual state of equilibrium as quickly and as cost effectively as possible: “dispute dissolution”, the slowing down of the dispute’s momentum. Rather than focusing on the design and assemblage of the dispute, the lawyers’ role therein is, or should be, to assist with the “disassembling” of the dispute.

Improved bounds on the radius and curvature of the K pi scalar form factor and implications to low-energy theorems

We obtain stringent bounds in the < r(2)>(K pi)(S)-c plane where these are the scalar radius and the curvature parameters of the scalar K pi form factor, respectively, using analyticity and dispersion relation constraints, the knowledge of the form factor from the well-known Callan-Treiman point m(K)(2)-m(pi)(2), as well as at m(pi)(2)-m(K)(2), which we call the second Callan-Treiman point. The central values of these parameters from a recent determination are accomodated in the allowed region provided the higher loop corrections to the value of th form factor at the second Callan-Treiman point reduce the one-loop result by about 3% with F-K/F-pi = 1.21. Such a variation in magnitude at the second Callan-Treiman point yields 0.12 fm(2) less than or similar to < r(2)>(K pi)(S) less than or similar to 0.21 fm(2) and 0.56 GeV-4 less than or similar to c less than or similar to 1.47 GeV-4 and a strong correlation between them. A smaller value of F-K/F-pi shifts both bounds to lower values.

Outdoor group portrait of Marga Abel, Franzche Wolf, Miss Mahler, Margot Frank and Else Hirschfeld; Bad Kissingen Portraits Groups Women

Handwritten caption: Wir tragen nur Bemberg-Seidenstruempfe! (We wear only Bemberg silk stockings!)

Oxidation of Abel's ketone and similar spiroketones with 2,3-dichloro-5,6-dicyano-1,4- benzoquinone (DDQ). Synthesis of novel tropone derivatives

The structure of the novel product obtained from the oxidation of Abel's ketone (1a) and similar spiroketones (1b–d) with 2, 3-dichloro-5, 6-dicyano-1,4-benzoquinone has been determined on basis of spectral data (i.r., n.m.r., and mass)

Stringent constraints on the scalar K pi form factor from analyticity, unitarity and low-energy theorems

We investigate the scalar K pi form factor at low energies by the method of unitarity bounds adapted so as to include information on the phase and modulus along the elastic region of the unitarity cut. Using at input the values of the form factor at t = 0 and the Callan-Treiman point, we obtain stringent constraints on the slope and curvature parameters of the Taylor expansion at the origin. Also, we predict a quite narrow range for the higher-order ChPT corrections at the second Callan-Treiman point.

Segal-Bargmann transform and Paley-Wiener theorems on M(2)

We study the Segal-Bargmann transform on M(2). The range of this transform is characterized as a weighted Bergman space. In a similar fashion Poisson integrals are investigated. Using a Gutzmer's type formula we characterize the range as a class of functions extending holomorphically to an appropriate domain in the complexification of M(2). We also prove a Paley-Wiener theorem for the inverse Fourier transform.