Open RQC colloquium. Lecture 48

Abstract

Discussion the properties of a family of integrals involving the cardinal sine fuction, first studied by Borwein & Borwein. The aim is to provide a physicist's perspective onto a curious change of behaviour occurring within this family, noticed when benchmarking computer algebra packages, and initially attributed to a bug. A number of non-trivial generalizations will be obtained.

Biography

Emmanuel Trizac received his PhD in Ecole normale supérieure de Lyon in 1997, where he had graduated in 1994. After a post-doctorate at AMOLF in Amsterdam, he joined the University Paris-Sud in 1998 as an assistant professor. He was a visiting scholar in University of California at San Diego in 2005-2006, and an invited professor in the University of Barcelona in 2007 and 2010. He now is a full professor of theoretical physics, and a member of Institut Universitaire de France. His research pertains to soft condensed matter, and non equilibrium statistical physics. He has co-authored 140 publications in international peer-reviewed journals. Since 2012, he heads the Theoretical and Statistical Models Laboratory (LPTMS), a joint CNRS/Paris-Sud unit.

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