OBJECTIVE There is evidence showing that Gleason grading of prostatic adenocarcinoma is one of the most powerful predictors of biological behavior and one of the most influential factors used to determine treatment for prostate cancer. The aim of the current study was to compare the Gleason score for needle biopsy to the Gleason score for the correspondent surgical specimen, find any possible d...

PURPOSE Although discordance in the Gleason score between biopsy and radical prostatectomy specimens has been well recognized, the prognostic importance of this discrepancy has not been definitively established. We investigated the association of Gleason score discordance with postoperative systemic progression and death from prostate cancer. MATERIALS AND METHODS We evaluated the records of ...

BACKGROUND The Gleason score has been shown to offer important information with regard to prognosis and therapy for patients with adenocarcinoma of the prostate gland. In this study, Gleason scores, as determined by 18-gauge core needle biopsies, were compared with both Gleason scores and the pathological staging of corresponding radical prostatectomy specimens. METHODS Records of 78 consecut...

Based on a gambling formulation of quantum mechanics, we derive a Gleasontype theorem that holds for any dimension n of a quantum system, and in particular for n= 2. The theorem states that the only logically consistent probability assignments are exactly the ones that are definable as the trace of the product of a projector and a density matrix operator. In addition, we detail the reason why d...

In this article, we extend the theory of multiplicative chaos for positive definite functions in R of the form f(x) = λ ln T |x| + g(x) where g is a continuous and bounded function. The construction is simpler and more general than the one defined by Kahane in 1985. As main application, we give a rigorous mathematical meaning to the Kolmogorov-Obukhov model of energy dissipation in a turbulent ...

I am one of a growing number of research mathematicians who are substantially engaged with school mathematics education. Such outreach has a long and honorable tradition. In this lecture, I illustrate some of the ways that I think this can be helpful, and even essential. Upon his retirement in 1990 as president of the ICMI, Jean Pierre Kahane spoke perceptively of the intimate connection betwee...

This is Part II of the two-part feature on Paul Erdős following his centennial. Part I had contributions from Krishnaswami Alladi and Steven G. Krantz, Vera T. Sós and László Lovász, Ronald Graham and Joel Spencer, Jean-Pierre Kahane, and Mel Nathanson. Here in Part II we have six articles from contributors Noga Alon, Dan Goldston, András Sárközy, József Szabados, Gérald Tenenbaum, and Stephan ...