1.4k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR819 papers
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69 papers · 1 filter
Structure of Polyzetas and Explicit Representation on Transcendence Bases of Shuffle and Stuffle Algebras
Van Chien Bui, Gerard H. E. Duchamp, Vincel Hoang Ngoc Minh
Polyzetas, indexed by words, satisfy shuffle and quasi-shuffle identities. In this respect, one can explore the multiplicative and algorithmic (locally finite) properties of their…
Universality of blow up profile for small blow up solutions to the energy critical wave map equation
Thomas Duyckaerts, Hao Jia, Carlos Kenig +1
In this paper we introduce the channel of energy argument to the study of energy critical wave maps into the sphere. More precisely, we prove a channel of energy type inequality fo…
Blobbed topological recursion for the quartic melonic tensor model
Valentin Bonzom, Stephane Dartois
Random tensor models are generalizations of random matrix models which admit expansions. In this article we show that the topological recursion, a modern approach to matrix m…
Binary Linear Codes From Vectorial Boolean Functions and Their Weight Distribution
Deng Tang, Claude Carlet, Zhengchun Zhou
Binary linear codes with good parameters have important applications in secret sharing schemes, authentication codes, association schemes, and consumer electronics and communicatio…
Existence of guided waves due to a lineic perturbation of a 3D periodic medium
Bérangère Delourme, Patrick Joly, Elizaveta Vasilevskaya
In this note, we exhibit a three dimensional structure that permits to guide waves. This structure is obtained by a geometrical perturbation of a 3D periodic domain that consists o…
A remark on the construction of centric linking systems
Bob Oliver
We give examples to show that it is not in general possible to prove the existence and uniqueness of centric linking systems associated to a given fusion system inductively by addi…
A modulation technique for the blow-up profile of the vector-valued semilinear wave equation
Asma Azaiez, Hatem Zaag
We consider a vector-valued blow-up solution with values in for the semilinear wave equation with power nonlinearity in one space dimension (this is a system of PDEs…
Automorphisms of the little disks operad with torsion coefficients
Geoffroy Horel
We compute the automorphisms of the Bousfield-Kan completion at a prime p of the little two-disks operads and show that they are given by the pro-p Grothendieck-Teichmüller group.…
The abstract cotangent complex and Quillen cohomology of enriched categories
Yonatan Harpaz, Joost Nuiten, Matan Prasma
In his fundamental work, Quillen developed the theory of the cotangent complex as a universal abelian derived invariant, and used it to define and study a canonical form of cohomol…
Tangent categories of algebras over operads
Yonatan Harpaz, Joost Nuiten, Matan Prasma
Associated to a presentable -category and an object is the tangent -category , consisting of parameteriz…
Harmonic sums and polylogarithms at non-positive multi-indices
Gérard Duchamp, Hoang Ngoc, Ngo Quoc
Extending Eulerian polynomials and Faulhaber's formula 1, we study several combi-natorial aspects of harmonic sums and polylogarithms at non-positive multi-indices as well as their…
Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity
Gilles Francfort, Antoine Gloria
Since the seminal contribution of Geymonat, M{ü}ller, and Triantafyllidis, it is known that strong ellipticity is not necessarily conserved by homogenization in linear elasticity.…
Continuous-state branching processes, extremal processes and super-individuals
Clément Foucart, Chunhua Ma
The long-term behaviors of flows of continuous-state branching processes are characterized through subordinators and extremal processes. The extremal processes arise in the case of…
Existence of quasicrystals and universal stable sampling and interpolation in LCA groups
E. Agora, J. Antezana, C. Cabrelli +1
We characterize all the locally compact abelian (LCA) groups that contain quasicrystals (a class of model sets). Moreover, we describe all possible quasicrystals in the group const…
Rigid cohomology via the tilting equivalence
Alberto Vezzani
We define a de Rham cohomology theory for analytic varieties over a valued field of equal characteristic with coefficients in a chosen untilt of the perfection of $K^…
Bijections for Weyl Chamber walks ending on an axis, using arc diagrams and Schnyder woods
Julien Courtiel, Éric Fusy, Mathias Lepoutre +1
In the study of lattice walks there are several examples of enumerative equivalences which amount to a trade-off between domain and endpoint constraints. We present a family of suc…
Current-induced skyrmion generation and dynamics in symmetric bilayers
Ales Hrabec, Joao Sampaio, Mohamed Belmeguenai +7
Magnetic skyrmions are textures behaving as quasiparticles which are topologically different from other states. Their discovery in systems with broken inversion symmetry sparked th…
Categorifying rationalization
Clark Barwick, Saul Glasman, Marc Hoyois +2
We solve a problem proposed by Khovanov by constructing, for any set of primes , a triangulated category (in fact a stable -category) whose Grothendieck group is $S^{-1}…
Analysis of the loss of boundary conditions for the diffusive Hamilton-Jacobi equation
Alessio Porretta, Philippe Souplet
We consider the diffusive Hamilton-Jacobi equation, with homogeneous Dirichlet conditions and regular initial data. It is known from [Barles-DaLio, 2004] that the problem admits a…
Taming intermittent plasticity at small scales
Peng Zhanga, Oguz Umut Salman, Jin-Yu Zhang +4
The extreme miniaturization in modern technology calls for deeper insights into the non-conventional, fluctuation dominated mechanics of materials at micro- to nano-scales. Both ex…
Improved bounds on the diameter of lattice polytopes
Antoine Deza, Lionel Pournin
We show that the largest possible diameter of a -dimensional polytope whose vertices have integer coordinates ranging between and is at most $kd-\lceil2d/3\rcei…
Intermediate Field Representation for Positive Matrix and Tensor Interactions
Luca Lionni, Vincent Rivasseau
In this paper we introduce an intermediate field representation for random matrices and random tensors with positive (stable) interactions of degree higher than 4. This representat…
Relative Loday constructions and applications to higher THH-calculations
Gemma Halliwell, Eva Höning, Ayelet Lindenstrauss +2
We define a relative version of the Loday construction for a sequence of commutative S-algebras and a pointed simplicial subset . We us…
Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
Ken Funo, Jing-Ning Zhang, Cyril Chatou +3
Counterdiabatic driving (CD) exploits auxiliary control fields to tailor the nonequilibrium dynamics of a quantum system, making possible the suppression of dissipated work in fini…