output
20112025
most citedPre-supernova feedback sets the star cluster mass function to a power law and reduces the cluster formation efficiency

36 citations

21 papers

math.HO2025

Galilei and Huygens: Music and science

Athanase Papadopoulos

Vincenzo Galilei and Constantijn Huygens were both humanists and eminent musicians, the former from the late Renaissance and the latter from the early Modern era. Their respective…

astro-ph.GA2024★ 14 cited

Abundance ties: Nephele and the globular cluster population accreted with Cen. Based on APOGEE DR17 and Gaia EDR3

Giulia Pagnini, Paola Di Matteo, Misha Haywood +8

The peculiar Galactic globular cluster Centauri (NGC 5139) has drawn attention for its unique features - such as a high stellar mass and a broad distribution of chemical elemen…

math.GT2024

The earthquake metric on Teichm{ü}ller space

Yi Huang, Ken'ichi Ohshika, Huiping Pan +1

This is the first paper to systematically study the earthquake metric, an asymmetric Finsler metric on Teichm{ü}ller space introduced by Thurston. We provide proofs for several ass…

astro-ph.GA2024★ 17 cited

Simulating nearby disc galaxies on the main star formation sequence I. Bar formation and the building of the central gas reservoir

Pierrick Verwilghen, Eric Emsellem, Florent Renaud +14

Past studies have long emphasised the key role played by galactic stellar bars in the context of disc secular evolution, via the redistribution of gas and stars, the triggering of…

astro-ph.GA2024★ 15 cited

From giant clumps to clouds IV: extreme star-forming clumps on top of universal cloud scaling relations in gas-rich galaxies

Florent Renaud, Oscar Agertz, Alessandro B. Romeo

The clumpy nature of gas-rich galaxies at cosmic noon raises the question of universality of the scaling relations and average properties of the star-forming structures. Using cont…

math.PR2024★ 1 cited

Taking Music Seriously: on the Dynamics of 'Mathemusical' Research with a Focus on Hexachordal Theorems

Moreno Andreatta, Corentin Guichaoua, Nicolas Juillet

After presenting the general framework of 'mathemusical' dynamics, we focus on one music-theoretical problem concerning a special case of homometry theory applied to music composit…

q-bio.PE2023

A branching model for intergenerational telomere length dynamics

Athanasios Benetos, Olivier Coudray, Anne Gégout-Petit +3

We build and study an individual based model of the telomere length's evolution in a population across multiple generations. This model is a continuous time typed branching process…

math.AG2023★ 2 cited

Singularities and clusters

Vladimir Fock

The aim of this note is to describe a geometric relation between simple plane curve singularities classified by simply laced Cartan matrices and cluster varieties of finite type al…

math.GT2023★ 2 cited

Conic singularities and immediate transversality

Francois Laudenbach

I introduced the notion of immediate transversality in a recent paper on -structures on Morse complexes. I the present chapter, I prove that immediate transversality hold…

astro-ph.GA2023★ 36 cited

Pre-supernova feedback sets the star cluster mass function to a power law and reduces the cluster formation efficiency

Eric P. Andersson, Mordecai-Mark Mac Low, Oscar Agertz +2

The star cluster initial mass function is observed to have an inverse power law exponent around 2, yet there is no consensus on what determines this distribution, and why some vari…

math.SG2022★ 2 cited

Honda-Huang's work on contact convexity revisited

Yakov Eliashberg, Dishant Pancholi

Following the overall strategy of the paper ``Convex hypersurfaces in contact topology" by Ko Honda and Yang Huang on contact convexity in high dimensions, we present a simplified…

math.GT2021

Ideal triangles, hyperbolic surfaces and the Thurston metric on Teichm{ü}ller space

Athanase Papadopoulos

These are notes on the hyperbolic geometry of surfaces, Teichm{ü}ller spaces and Thurston's metric on these spaces. They are associated with lectures I gave at the Morningside Cent…

math.HO2021

Math{é}matiques, musique et cosmologie : A partir du Tim{é}e de Platon

Athanase Papadopoulos

Based on Plato's Timaeus, we present some reflections on music, cosmology and mathematics and their mutual influence.The article is dedicated to the composer Walter Zimmermann. The…

math.GT2020

A glimpse into Thurston's work

Ken'Ichi Ohshika, Athanase Papadopoulos

We present an overview of some significant results of Thurston and their impact on mathematics. The final version of this paper will appear as Chapter 1 of the book "In the traditi…

math.DS2018

A survey on Polynomial in momenta integrals for billiard problems

Michael, Bialy, Andrey E. Mironov

In this paper we give a short survey of recent results on algebraic version of the Birkhoff conjecture for integrable billiards on surfaces of constant curvature. We also discuss i…

math.DG2016

Algebraic non-integrability of magnetic billiards

Michael, Bialy, Andrey E. Mironov

We consider billiard ball motion in a convex domain of the Euclidean plane bounded by a piece-wise smooth curve influenced by the constant magnetic field. We show that if there exi…

math.DG2016★ 4 cited

Algebraic Birkhoff conjecture for billiards on Sphere and Hyperbolic plane

Michael, Bialy, Andrey E. Mironov

We consider a convex curve lying on the Sphere or Hyperbolic plane. We study the problem of existence of polynomial in velocities integrals for Birkhoff billiard inside the dom…

math.DG2014★ 5 cited

Integrable geodesic flows on 2-torus: formal solutions and variational principle

Michael, Bialy, Andrey E. Mironov

In this paper we study quasi-linear system of partial differential equations which describes the existence of the polynomial in momenta first integral of the integrable geodesic fl…

math.DG2013★ 1 cited

A remark on the number of invisible directions for a smooth Riemannian metric

Michael, Bialy

In this note we give a construction of a smooth Riemannian metric on R^n which is standard Euclidean outside a compact set K and such that it has N = n(n + 1)=2 invisible direction…

math-ph2011

New Semi-Hamiltonian hierarchy related to integrable magnetic flows on surfaces

Michael, Bialy, Andrey Mironov

We consider magnetic geodesic flows on the 2-torus. We prove that the question of existence of polynomial in momenta first integrals on one energy level leads to a Semi-Hamiltonian…

math.DG2011★ 3 cited

Cubic and Quartic integrals for geodesic flow on 2-torus via system of Hydrodynamic type

Michael, Bialy, Andrey Mironov

In this paper we deal with the classical question of existence of polynomial in momenta integrals for geodesic flows on the 2-torus. For the quasi-linear system on coefficients of…