Phenomenological Renormalization Group Methods

Some renormalization group approaches have been proposed during the last few years which are close in spirit to the Nightingale phenomenological procedure. In essence, by exploiting the finite size scaling hypothesis, the approximate critical behavior of the model on infinite lattice is obtained through the exact computation of some thermal quantities of the model on finite clusters. In this work some of these methods are reviewed, namely the mean field renormalization group, the effective field renormalization group and the finite size scaling renormalization group procedures. Although special emphasis is given to the mean field renormalization group (since it has been, up to now, much more applied an extended to study a wide variety of different systems) a discussion of their potentialities and interrelations to other methods is also addressed.Comment: Review Articl

PFAPA - A Case Report

O síndrome PFAPA ( Periodic Fever, Aphtous stomatitis,Pharingitis and Adenitis) foi descrito pela primeira vez em 1987. A etiologia é desconhecida. Clinicamente caracteriza-se por febre alta, recorrente, com intervalos de quatro a seis semanas. A febre tem a duração de cerca de cinco dias e regride espontaneamente. Associadas à febre, encontram-se estomatite aftosa, faringite e adenomegalias cervicais. Os sintomas iniciam-se antes dos cinco anos de idade e tornam-se menos frequentes à medida que a criança cresce. O doente está assintomático entre os episódios febris, não há repercussão no desenvolvimento estaturo-ponderal ou psicomotor e não estão descritas sequelas. Leucocitose, velocidade de sedimentação (VS) e proteína C reactiva (PCR) elevadas durante as crises são as únicas alterações laboratoriais encontradas. Os autores descrevem o caso clínico de uma criança de vinte meses, com febre periódica iniciada aos seis meses, periodicidade de vinte e oito dias e duração de cinco dias, estando assintomático entre as crises. Excluiu-se patologia infecciosa, neoplásica e imunológica, assim como outros síndromes febris periódicos com início na infância. No primeiro dia de cada episódio febril, iniciou terapêutica com dose única de prednisolona oral (2mg/Kg), com alargamento do intervalo entre os episódios febris, diminuição da duração e gravidade das crises subsequentes

Going Further with Point Pair Features

Point Pair Features is a widely used method to detect 3D objects in point clouds, however they are prone to fail in presence of sensor noise and background clutter. We introduce novel sampling and voting schemes that significantly reduces the influence of clutter and sensor noise. Our experiments show that with our improvements, PPFs become competitive against state-of-the-art methods as it outperforms them on several objects from challenging benchmarks, at a low computational cost.Comment: Corrected post-print of manuscript accepted to the European Conference on Computer Vision (ECCV) 2016; https://link.springer.com/chapter/10.1007/978-3-319-46487-9_5

Transformations of Heun's equation and its integral relations

We find transformations of variables which preserve the form of the equation for the kernels of integral relations among solutions of the Heun equation. These transformations lead to new kernels for the Heun equation, given by single hypergeometric functions (Lambe-Ward-type kernels) and by products of two hypergeometric functions (Erd\'elyi-type). Such kernels, by a limiting process, also afford new kernels for the confluent Heun equation.Comment: This version was published in J. Phys. A: Math. Theor. 44 (2011) 07520

Basin structure in the two-dimensional dissipative circle map

Fractal basin structure in the two-dimensional dissipative circle map is examined in detail. Numerically obtained basin appears to be riddling in the parameter region where two periodic orbits co-exist near a boundary crisis, but it is shown to consist of layers of thin bands.Comment: published in J. Phys. Soc. Jpn., 72, 1943-1947 (2003