Benoit Corsini

I am currently an independent researcher in Probability based in Paris. Before that, I was a Postdoc within the Networks Centre at the Eindhoven University of Technology under the supervision of Remco van der Hofstad. I obtained my PhD from McGill University under the supervision of Louigi Addario-Berry. My research is concentrated around properties of random graphs, random trees, and random permutations. If you would like to get in touch, contact me at benoitcorsini at gmail dot com.

Quick access

CV
Photo

Preprint

Finding minimum spanning trees via local improvements, with Louigi Addario-Berry and Jordan Barrett, 2022.
Continuous-time Mallows processes, 2022.

Published

Binary search trees of permuton samples, with Victor Dubach and Valentin Féray, published in Advances in Applied Mathematics, 2024.
Limits of Mallows trees, published in the Electronic Journal of Probability, 2023.
The height of record-biased trees, published in Random Structures & Algorithms, 2021.
Similarity of structures in popular music, published in the Journal of New Music Research, 2021.
The height of Mallows trees, with Louigi Addario-Berry, published in the Annals of Probability, 2020.

Other

Participating in the Summer of Math Exposition, published in the Networks Pages, 2024.
Jon Snow, Phoebe Buffay, and Michael Scott are in a network, what do they see?, published in the Networks Pages, 2023.
Self-supervised anomaly detection in static attributed graphs, with Pierre-André Noël, David Vázquez, and Perouz Taslakian, 2021.

Slides

Limite locale des arbres de Mallows, Paris-Saclay University, October 2024.
The permuton tree, Italien Meeting, June 2024.
Local limit of Mallows tree, Networks Training Week, April 2024.
Local weighted optimizations and open problems, University of Victoria, March 2024.
Mallows processes and the expanded hypercube, Permutation Patterns, July 2023.
Random models of binary search trees, Leiden University, February 2023.
Anomalies dans les réseaux, Congrès de l'Acfas, May 2022.

Posters

Random models of binary search trees, Stochastic Processes and their Applications, July 2023.
Local minimum spanning tree optimization, CMS Winter Meeting, December 2021.
The height of Mallows trees, CMS Winter Meeting, December 2020.

3 Minute Thesis Competitions

Peut-on transformer Paris en Montréal ?, Ma Thèse en 180 Secondes, April 2022.
Local minimum spanning tree optimization, Ottawa Math Conference, May 2021.

Videos

Anomalies dans les réseaux, Congrès de l'Acfas, May 2022.
Similarité entre structures dans la musique populaire, Congrès de l'Acfas, May 2022.
Peut-on transformer Paris en Montréal ?, Ma Thèse en 180 Secondes, April 2022.
Mallows trees, Math 447, April 2021.

I created a few visual animations of my (and other people's) work that you can find below. If you want to discuss possible collaborations, I am also always open to new projects, so feel free to contact me at benoitcorsini at gmail do com!

Full videos

Randomly playing chess: a video explaining the average return time of different chess pieces and created for the Summer of Math Exposition 2024.

Animations for lectures

Related probability distributions: a representation of the relation between different probability distributions.
Poisson and Binomial (CDF), Poisson and Binomial (PDF), Discrete and Continuous Uniform, Geometric and Exponential, Student and Normal.
Evolving probability distributions: a representation of various common probability distributions as their parameters evolve.
Uniform (discrete), Bernoulli, Binomial, Geometric, Poisson, Uniform (continuous), Exponential, Normal.
Frequency of chess pieces: a representation of the frequency of randomly moving chess pieces on the chess board (excluding the pawn).
Can you guess which is which? Find out here: King, Queen, Rook, Bishop, Knight.

Short visuals

Graph flow: a representation of a flow evolving through a geometrical graph.
Interacting particle systems: a representation of a particle system as spherical bipolar spins.
Markov chains: a representation of a Markov chain as a moving stack of tokens.
Matrices: a representation of a random matrix and its spectrum as flipping tiles.
Permutations: a representation of a uniform random permutation as a starry sky.
Local minimum spanning trees: a representation of a random local minimum spanning tree optimization on a random initial graph.
Local road optimization: following my work on local MSTs and using the approach I gave in the MT180 competition, I represented local graph optimizations as local constructions in a city. I hope you enjoy every detail of this animation, including changing lights and swinging grass!
Labelled trees: a representation of a bijection between labelled trees and sequences of integers.

Professional

Collaborators

Personal

Research

I wrote an article studying the structures of popular songs and published in the Journal of New Music Research. You can also find the code used for this article on my Github page.

Composition

In the last years I started writing my own music (mostly instrumental metal). This lead me to produce my own album in 2021, called Personal Moods. In particular, I invite you to check the fourth track, Leaders, objectively the best one on the album. Since then, I also re-wrote several of my favorite TV shows theme songs, including The Office and Parks and Recreation. I invite you to check out my Youtube channel for more content.

Ressources

Most of what I know in music actually comes from various Youtube channels which have helped me better understand musical concepts and develop my writing and playing skills. Below are some of the most helpful channels I follow.

Signals Music Studio: for general music theory.
12tone: for song analysis.
Adam Neely: for general music concepts and advices.
Drumeo: for drum lessons and tutorials.
Andrew Rooney Drums: for drum analysis.