My talk is divided into five parts. In the first part the relevance of the chiral fermion issue to fundamental particle physics and to numerical QCD will be explained. In the second part the basic ideas of the overlap construction will be reviewed. In the third part I shall focus on the algebraic (as opposed to kinematic) meaning of the overlap. In the fourth part I shall discuss in greater det...

overlap syndrome, which is known as the coexistence of chronic obstructive pulmonary disease (copd) and obstructive sleep apnea (osa), was first defined by flenley. although it can refer to concomitant occurrence of any of the pulmonary diseases and osa, overlap syndrome is commonly considered as the coexistence of osa and copd. this disease has unique adverse health consequences distinct from ...

We investigate overlap fluctuations of the Sherrington-Kirkpatrick mean field spin glass model in the framework of the Random Overlap Structure (ROSt). The concept of ROSt has been introduced recently by Aizenman and coworkers, who developed a variational approach to the Sherrington-Kirkpatrick model. We propose here an iterative procedure to show that, in the so-called Boltzmann ROSt, Aizenman...

In this work we study overlap degrees expressed in terms of overlap functions. We present the basic properties that from our point of view must satisfy these overlap functions. We study a construction method, we analyze which t-norms are also overlap functions and we prove that if we apply particular aggregations to such functions we recover the overlap index between fuzzy sets as defined by Du...