<html><head><style type='text/css'>p { margin: 0; }</style></head><body><div style='font-family: times new roman,new york,times,serif; font-size: 12pt; color: #000000'>Prezados boa tarde! Na próxima sexta o seminário de Probabilidade e Sistemas Complexos do ICMC-USP e UFSCar será realizado como usualmente, 16h00, no Auditório Fávaro do ICMC. Segue a informação da palestra e peço para vocês divulgar a possíveis interessados. The weighted Gibbs inequality and its consequences Speaker: Salimeh Yasaei Sekeh (UFScar) Date: 03/10/2014 Time: 16h00 Room: 4-111 Abstract: In various applications of Information Theory, different events/outcomes may depend upon experiments goal or be influenced by some qualitative characteristics of the physical system which should be taken into account. That is, they may have different utilities (or weights). Belis and Guiasu (1968) introduced weighted uncertainty by ascribing to each out-come a non-negative weight which measures its importance. The purpose of this talk is to extend the well-known Gibbs inequality to the case of weighted entropies with weighted function φ. A number of inequalities for weighted entropies is proposed, mirroring properties of a standard (Shannon) entropy and related quantities. This is a joint work with Yuri Suhov, Department of Mathematics, Penn State University, USA; DPMMS, University of Cambridge, UK Keywords: weighted entropy, weighted conditional entropy, weighted relative entropy, weighted mutual entropy, weighted Gibbs inequality, convexity, concavity. Lembrando também que esta e outras informações de nossos seminários está disponível no http://www.icmc.usp.br/pessoas/pablor/seminar.html Um abraço, <div>Pablo Martín Rodríguez Professor Doutor (MS-3) Department of Applied Mathematics and Statistics, ICMC-USP C.P. 668 - São Carlos, SP, Brazil - CEP 13560-970 </div> </div></body></html>