Towards the entanglement negativity of two disjoint intervals for a one dimensional free fermion

We study the moments of the partial transpose of the reduced density matrix of two intervals for the free massless Dirac fermion. By means of a direct calculation based on a coherent state path integral, we find an analytic form for these moments in terms of the Riemann theta function. We show that moments of arbitrary order are equal to the same quantities for the compactified boson at the self-dual point. These equalities also imply the nontrivial result that the negativity of the free fermion and the self-dual boson are equal

Analysis of protein carbonylation - pitfalls and promise in commonly used methods

Abstract Oxidation of proteins has received a lot of attention in the last decades due to the fact that they have been shown to accumulate and to be implicated in the progression and the patho-physiology of several diseases such as Alzheimer, coronary heart diseases, etc. This has also resulted in the fact that research scientist became more eager to be able to measure accurately the level of oxidized protein in biological materials, and to determine the precise site of the oxidative attack on the protein, in order to get insights into the molecular mechanisms involved in the progression of diseases. Several methods for measuring protein carbonylation have been implemented in different laboratories around the world. However, to date no methods prevail as the most accurate, reliable and robust. The present paper aims at giving an overview of the common methods used to determine protein carbonylation in biological material as well as to highlight the limitations and the potential. The ultimate goal is to give quick tips for a rapid decision making when a method has to be selected and taking into consideration the advantage and drawback of the methods

Clustering and classification of music using interval categories

We present a novel approach to clustering and classification of music, based on the concept of interval categories. Six interval categories exist, each with its own musical character. A piece of music can be represented by six numbers, reflecting the percentages of occurrences of each interval category. A piece of music can, in this way, be visualized as a point in a six dimensional space. The three most significant dimensions are chosen from these six. Using this approach, a successful visual clustering of music is possible for 1) composers through various musical time periods, and 2) the three periods of Beethoven, which illustrates the use of our approach on both a general and a specific level. Furthermore, we will see that automatic classification between tonal and atonal music can be achieved

DOI: 10.1080/17459737.2011.608820 Discrete Phase Retrieval in Musical Structures

This is a preprint of an article whose final and definitive form has been published in the Journal of Mathematics and Music (JMM) c ○ 2011 Taylor & Francis. The published article is available online a

Towards a Borgean Musical Space: An Experimental Interface for Exploring Musical Models

International audienceMusical compositions can be the object of advanced computational modelling. We develop this idea by creating formal models allowing the study of musical works from the repertoire and conceiving corresponding computational tools. From this perspective, one can aim to model, produce and evaluate different instances and configurations of such models. In this paper we discuss an experimental tool, as an attempt to visualise the space of instances that can be generated from a musical piece's model. This tool consists in an interface attached to a class in the OpenMusic environment, where parameter values are compared with the result of analytical descriptors, as that of 'cognitive-sonance' from the " Sonic Object Analysis Library " (SOAL). We demonstrate how this interface works by exploring it with a previously built model of James Tenney's piece, the Spectral Canon for Conlon Nancarrow