output
20032026
most citedEuler and Chebyshev: From the sphere to the plane and backwards

12 citations

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20 papers · 1 filter

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…

math.HO2025

Andr{é} and Simone Weil: Mathematics, social activism and Indian culture

Athanase Papadopoulos, Susumu Tanabé

This is an essay on the relation of Andr{é} and Simone Weil with Indian culture and Sanskrit literature, especially the Bhagavad G{ī}t{ā}, a Hindu scripture which they knew well, w…

math.HO2025

Euler's work on spherical geometry: An overview with comments

Athanase Papadopoulos, Vladimir Turaev

We review Euler's work on spherical geometry. After an introduction concerning the general place that trigonometric formulae occupy in geometry, we start by the two memoirs of Eule…

math.PR2025

Sharpness for monotone absorbing Interacting Particle Systems

Jean Bérard, Barbara Dembin, Laure Marêché

We prove a sharpness result for the dynamics of finite-range Interacting Particle Systems (IPS) on , which generalizes to a whole class of IPS the sharpness result…

math.HO2025

The mathematics of periodic anthyphairesis as a basis for the full understanding of Plato's philosophy

Stelios Negrepontis, Athanase Papadopoulos

Even though Plato's philosophy in ancient times was always closely associated with mathematics, modern Platonic scholarship, during the last five centuries, has moved steadily towa…

math.AP2025

Two-way Coupling of Fluid--Structure Interaction for Elastic Magneto-Swimmers:A Finite Element ALE Approach

Christophe Prud'Homme, Vincent Chabannes, Laëtitia Giraldi +2

Artificial micro-swimmers actuated by external magnetic fields hold significant promise for targeted biomedical applications, including drug delivery and micro-robot-assisted thera…

math.AG2025

Chern classes of the multilayer fractional quantum Hall bundle on Riemann surfaces

María Abad Aldonza, Florent Dupont

The so-called multilayer wave functions were introduced in the study of the fractional Quantum Hall effect by Halperin and others. They are defined with the help of a symmetric mat…

stat.AP2025

ToMATo: an efficient and robust clustering algorithm for high dimensional datasets. An illustration with spike sorting

Louise Martineau, Christophe Pouzat, Ségolen Geffray

Clustering algorithms became an essential part of the neurophysiological data analysis toolbox in the last twenty five years. Many problems, from the definition of cell types/group…

math.DG2025

Poincar{é} series for analytic convex bodies

Nguyen Viet Dang, Yannick Guedes Bonthonneau, Matthieu Léautaud +1

We study Poincar{é} series associated to strictly convex bodies in the Euclidean space. These series are Laplace transforms of the distribution of lengths (measured with the Finsle…

math.AT2025

A Fibration Theorem and Chas-Sullivan product for Morse-Novikov Homology with differential graded coefficients

Robin Riegel

Given an oriented, closed and connected manifold X and a nonzero cohomology u H 1 (X, R), we extend the constructions of Morse Homology with differential graded coefficients…

math.DG2025

Free energy of the Coulomb gas in the determinantal case on Riemann surfaces

Lucas Bourgoin

We derive the asymptotic expansion of the partition function of a Coulomb gas system in the determinantal case on compact Riemann surfaces of any genus g. Our main tool is the boso…

math.CO2025

Two-dimensional Yang-Mills theory via integrable probability

Thibaut Lemoine

In this paper, we review the construction and large study of the continuous two-dimensional Yang--Mills theory with gauge group through probability, combinatori…

math.AT2025

The Path-product in Morse Homology with differential graded coefficients

Robin Riegel

We will use the tools developed in [Rie24] to give a Morse-theoretic description of a string topology product on the homology of the space of paths in a manifold Y with endpoints i…

math.NA2025

Reduced Particle in Cell method for the Vlasov-Poisson system using auto-encoder and Hamiltonian neural

Emmanuel Franck, Laurent Navoret, Vincent Vigon +2

Hamiltonian particle-based simulations of plasma dynamics are inherently computationally intensive, primarily due to the large number of particles required to obtain accurate solut…

math-ph2025

The Spear and the Ring: Emergent Structures in Magnetic Colloidal Suspensions

Raphaël Côte, Clémentine Courtès, Guillaume Ferriere +3

We study from a mathematical point of view the nanoparticle model of a magnetic colloid, presented by G. Klughertz. Our objective is to obtain properties of stable stationary struc…

stat.AP2025

Detecting adverse high-order drug combinations from individual case safety reports using computational statistics on disproportionality measures

Jules Bangard, Einar Holsbø, Kristian Svendsen +3

Adverse drug reactions linked to the intake of drug combinations are a critical concern in pharmacovigilance, particularly as the controlled environment of clinical trials often la…

math.NT2025

A note on Dirichlet-like series attached to polynomials

Frédéric Chapoton

Some Dirichlet-like functions, attached to a pair (periodic function, polynomial) are introduced and studied. These functions generalize the standard Dirichlet L-functions of Diric…

math.HO2025

On the Marinus--Ptolemy and Delisle--Euler conical maps

Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos

We examine connections between the mathematics behind methods of drawing geographical maps due, on the one hand to Marinos and Ptolemy (1st-2nd c. CE) and on the other hand to Deli…

math.GT2025

Convex structures of the unit tangent spheres in Teichm{ü}ller space

Assaf Bar-Natan, Ken'Ichi Ohshika, Athanase Papadopoulos

We analyse the convex structure of the Finsler infinitesimal balls of the Thurston metric on Teichm{ü}ller space. We analyse the convex structure of the Finsler unit ball in the ta…

math.PR2025

Linear and uniform in time bound for the binary branching model with Moran type interactions

A M G Cox, E Horton, D Villemonais

In this note, we recall the definition of the binary branching model with Moran type interactions (BBMMI) introduced in [8]. In this interacting particle system, particles evolve,…