19 citations · 51 across the 12 of their papers we have counts for
13 papers
Hidden Categories: a New Perspective on Lewin's Generalized Interval Systems and Klumpenhouwer Networks
Alexandre Popoff, Moreno Andreatta
In this work we provide a categorical formalization of several constructions found in transformational music theory. We first revisit David Lewin's original theoretical constructio…
Correlated two-Leviton states in the fractional quantum Hall regime
Bruno Bertin-Johannet, Alexandre Popoff, Flavio Ronetti +5
We consider a two-dimensional electron system in the Laughlin sequence of the fractional quantum Hall regime to investigate the effect of strong correlations on the mutual interact…
Composing (with) automorphisms in the colored Cube Dance: an interactive tool for musical chord transformation
Alexandre Popoff, Corentin Guichaoua, Moreno Andreatta
The `colored Cube Dance' is an extension of Douthett's and Steinbach's Cube Dance graph, related to a monoid of binary relations defined on the set of major, minor, and augmented t…
Theory of non-equilibrium noise in general multi-terminal superconducting hydrid devices: application to multiple Cooper pair resonances
R. Jacquet, A. Popoff, K. -I. Imura +5
We consider the out-of-equilibrium behavior of a general class of mesoscopic devices composed of several superconducting or/and normal metal leads separated by quantum dots. Starti…
Groupoids and Wreath Products of Musical Transformations: a Categorical Approach from poly-Klumpenhouwer Networks
Alexandre Popoff, Moreno Andreatta, Andree Ehresmann
Transformational music theory, pioneered by the work of Lewin, shifts the music-theoretical and analytical focus from the "object-oriented" musical content to an operational musica…
Relational PK-Nets for Transformational Music Analysis
Alexandre Popoff, Moreno Andreatta, Andree Ehresmann
In the field of transformational music theory, which emphasizes the possible transformations between musical objects, Klumpenhouwer networks (K-Nets) constitute a useful framework…
Generalized Inversions and the Construction of Musical Group and Groupoid Actions
Alexandre Popoff
Transformational music theory is a recent field in music theory which studies the possible transformations between musical objects, such as chords. In the framework of the theory i…
John Cage's Number Pieces as Stochastic Processes: a Large-Scale Analysis
Alexandre Popoff
The Number Pieces are a corpus of works by composer John Cage, which rely on a particular time-structure used for determining the temporal location of sounds, named the "time-brack…
Using Monoidal Categories in the Transformational Study of Musical Time-Spans and Rhythms
Alexandre Popoff
Transformational musical theory has so far mainly focused on the study of groups acting on musical chords, one of the most famous example being the action of the dihedral group D24…
Towards A Categorical Approach of Transformational Music Theory
Alexandre Popoff
Transformational music theory mainly deals with group and group actions on sets, which are usually constituted by chords. For example, neo-Riemannian theory uses the dihedral group…
Building Generalized Neo-Riemannian Groups of Musical Transformations as Extensions
Alexandre Popoff
Chords in musical harmony can be viewed as objects having shapes (major/minor/etc.) attached to base sets (pitch class sets). The base set and the shape set are usually given the s…
Photo-assisted shot noise in Coulomb interacting systems
A. Crepieux, M. Guigou, A. Popoff +2
We consider the fluctuations of the electrical current (shot noise) in the presence of a voltage time-modulation. For a non-interacting metal, it is known that the derivative of th…
Finite size effects, super-and sub-poissonian noise in a nanotube connected to leads
Marine Guigou, Alexandre Popoff, Thierry Martin +1
The injection of electrons in the bulk of carbon nanotube which is connected to ideal Fermi liquid leads is considered. While the presence of the leads gives a cancellation of the…