Publications associées à Groupe modulaire

Six-dimensional sphere packing and linear programming

Maryna Viazovska, Matthew De Courcy-Ireland, Maria Margarethe Dostert

We prove that the Cohn-Elkies linear programming bound for sphere packing is not sharp in dimension 6. The proof uses duality and optimization over a space of modular forms, generalizing a construction of Cohn- Triantafillou [Math. Comp. 91 (2021), pp. 491 ...

Amer Mathematical Soc2024

The unipotent mixing conjecture

Philippe Michel

We show that shifted pairs of discrete or continuous low-lying horocycles equidistribute in the product space of two modular curves. ...

Hebrew Univ Magnes Press2023

Twist Accumulation in Conformal Field Theory: A Rigorous Approach to the Lightcone Bootstrap

Jiaxin Qiao

We prove that in any unitary CFT, a twist gap in the spectrum of operator product expansion (OPE) of identical scalar quasiprimary operators (i.e. phi x phi) implies the existence of a family of quasiprimary operators O t,l with spins l ->.infinity and twi ...

SPRINGER2023

Experimental investigation on the bending response of reuse-ready timber slabs – The Pixel Slab System

Corentin Jean Dominique Fivet, Edisson Xavier Estrella Arcos, Johnny Syriani

Current construction practices follow linear economic models of "take-make-dispose" that result in substantial material landfilling after the end-of-life of buildings. This issue takes relevance given the construction industry's significant stake in the hi ...

International Association for Shell and Spatial Structures (IASS)2023

A finiteness result for p-adic families of Bianchi modular forms

Vlad Serban

We study p-adic families of cohomological automorphic forms for GL(2) over imaginary quadratic fields and prove that families interpolating a Zariski-dense set of classical cuspidal automorphic forms only occur under very restrictive conditions. We show ho ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2022

Fourier uniqueness and interpolation in Euclidean space

Martin Peter Stoller

We prove that every Schwartz function in Euclidean space can be completely recovered given only its restrictions and the restrictions of its Fourier transform to all origin-centered spheres whose radii are square roots of integers. In particular, the only ...

EPFL2022

Load bearing device

Corentin Jean Dominique Fivet, Jan Friedrich Georg Brütting, Dario Redaelli, Alex-Manuel Muresan

The present relates to a device being used in modular building construction comprising at least one flat load support comprising a first main face and a second main face, at least one elongated load support designed for being coupled with said flat load su ...

2021

3D Printed Motor-Sensory Module Prototype for Facial Rehabilitation

Jamie Paik, Amir Firouzeh, Matthew Aaron Robertson

This work demonstrates the first 3D printed wearable motor-sensory module prototype designed for facial rehabilitation, focusing on facial paralysis. The novelty of the work lies in the fast fabrication of the first fully soft working prototype, including ...

MARY ANN LIEBERT, INC2022

Urban cells: Extending the energy hub concept to facilitate sector and spatial coupling

Kavan Javanroodi, Amarasinghage Tharindu Dasun Perera, Yi Wang

The rapid growth of urban areas and concerns over climate change make it vital to improve the energy sustainability of cities. Understanding the complex interactions within different sectors (sectoral) and localities (spatial) of cities plays a crucial rol ...

2021

Fourier uniqueness in even dimensions

Maryna Viazovska

In recent work, methods from the theory of modular forms were used to obtain Fourier uniqueness results in several key dimensions (d = 1, 8, 24), in which a function could be uniquely reconstructed from the values of it and its Fourier transform on a discr ...

National Academy of Sciences2021