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19992026
most citedAdaptive approximate Bayesian computation

625 citations

Showing 2021Show all

33 papers · 1 filter

math.RT2021

Automorphisms and symplectic leaves of Calogero-Moser spaces

Cédric Bonnafé

We study the symplectic leaves of the subvariety of fixed points of an automorphism of a Calogero-Moser space induced by an element of finite order of the normalizer of the associa…

eess.IV2021

Electromagnetic neural source imaging under sparsity constraints with SURE-based hyperparameter tuning

Pierre-Antoine Bannier, Quentin Bertrand, Joseph Salmon +1

Estimators based on non-convex sparsity-promoting penalties were shown to yield state-of-the-art solutions to the magneto-/electroencephalography (M/EEG) brain source localization…

math.NA2021★ 37 cited

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes

Lourenço Beirão da Veiga, Franco Dassi, Daniele A. Di Pietro +1

This paper contains two major contributions. First we derive, following the discrete de Rham (DDR) and Virtual Element (VEM) paradigms, pressure-robust methods for the Stokes equat…

math.NA2021★ 2 cited

An arbitrary-order fully discrete Stokes complex on general polyhedral meshes

Marien-Lorenzo Hanot

In this paper we present an arbitrary-order fully discrete Stokes complex on general polyhedral meshes. We enriche the fully discrete de Rham complex with the addition of a full gr…

math.AP2021★ 4 cited

Dynamics of dirac concentrations in the evolution of quantitative alleles with sexual reproduction

Léonard Dekens, Sepideh Mirrahimi

A proper understanding of the links between varying gene expression levels and complex trait adaptation is still lacking, despite recent advances in sequencing techniques leading t…

math.DG2021★ 1 cited

-symmetric hyperkähler quantisation

Jørgen Ellegaard Andersen, Alessandro Malusà, Gabriele Rembado

We provide a new general scheme for the geometric quantisation of -symmetric hyper-Kähler manifolds, considering Hilbert spaces of holomorphic sections with r…

math.RT2021

MV Polytopes and Masures

Tristan Bozec, Stéphane Gaussent

We realize affine Mirkovi{ć}-Vilonen polytopes using Littelmann's path model in the framework of masures. We are also able to read the decorations on the paths in the case of sl2.

math.DS2021★ 1 cited

Algebraic intersection in regular polygons

Julien Boulanger, Erwan Lanneau, Daniel Massart

We study the function $$\mbox{KVol} : (X,ω)\mapsto \mbox{Vol} (X,ω) \sup_{α,β} \frac{\mbox{Int} (α,β)}{l_g (α) l_g (β)}$$ defined on the moduli spaces of translation surfaces. More…

math.GR2021★ 2 cited

Locally elliptic actions, torsion groups, and nonpositively curved spaces

Thomas Haettel, Damian Osajda

Extending and unifying a number of well-known conjectures and open questions, we conjecture that locally elliptic (that is, every element has a bounded orbit) actions by automorphi…

math.GR2021

A note on morphisms to wreath products

Anthony Genevois, Romain Tessera

Given a morphism from a finitely presented group to a wreath product , we show that, if the image of is a sufficiently large subgroup, then $\ma…

math.NA2021

A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method

Daniele Antonio Di Pietro, Ilaria Fontana, Kyrylo Kazymyrenko

We present an a posteriori error estimate based on equilibrated stress reconstructions for the finite element approximation of a unilateral contact problem with weak enforcement of…

math.NA2021★ 14 cited

Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces

Francesco Bonaldi, Jérôme Droniou, Roland Masson +1

We address the discretization of two-phase Darcy flows in a fractured and deformable porous medium, including frictional contact between the matrix-fracture interfaces. Fractures a…

math.NT2021

Progrès récents sur la conjecture de Zagier et le programme de Goncharov [d'après Goncharov, Rudenko, Gangl, ...]

Clément Dupont

This survey article is the written version of a talk given at the Bourbaki seminar in April 2021. We give an introduction to Zagier's conjecture on special values of Dedekind zeta…

math.AG2021★ 1 cited

On the existence of logarithmic and orbifold jet differentials

Frédéric Campana, Lionel Darondeau, Jean-Pierre Demailly +1

We introduce the concept of directed orbifold, namely triples (X, V, D) formed by a directed algebraic or analytic variety (X, V), and a ramification divisor D, where V is a cohere…

math.CT2021★ 3 cited

The AKSZ Construction in Derived Algebraic Geometry as an Extended Topological Field Theory

Damien Calaque, Rune Haugseng, Claudia Scheimbauer

We construct a family of oriented extended topological field theories using the AKSZ construction in derived algebraic geometry, which can be viewed as an algebraic and topological…

math.OC2021

Damped inertial dynamics with vanishing Tikhonov regularization: strong asymptotic convergence towards the minimum norm solution

Hedy Attouch, Aicha Balhag, Zaki Chbani +1

In a Hilbert space, we provide a fast dynamic approach to the hierarchical minimization problem which consists in finding the minimum norm solution of a convex minimization problem…

math.DS2021★ 7 cited

A short introduction to translation surfaces, Veech surfaces, and Teichmueller dynamics

Daniel Massart

We review the different notions about translation surfaces which are necessary to understand McMullen's classification of -orbit closures in genus two. In Secti…

math.CO2021

A polytopal generalization of Apollonian packings and Descartes' theorem

Jorge L. Ramírez Alfonsín, Iván Rasskin

We present a generalization of Descartes' theorem for the family of polytopal sphere packings arising from uniform polytopes. The corresponding quadratic equation is expressed in t…

physics.med-ph2021★ 18 cited

Physics-constrained intraventricular vector flow mapping by color Doppler

Florian Vixège, Alain Berod, Yunyun Sun +6

Color Doppler by transthoracic echocardiography creates 2-D fan-shaped maps of blood velocities in the cardiac cavities. It is a one-component velocimetric technique since it only…

math.DG2021

A remark on one-harmonic maps from a Hadamard surface of pinched negative curvature to the hyperbolic plane

François Fillastre, Andrea Seppi

We show that every one-harmonic map, in the sense of Trapani and Valli, from a Hadamard surface of pinched negative curvature to has image the interior of the convex…

math.OC2021

On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping

Hedy Attouch, Jalal Fadili, Vyacheslav Kungurtsev

Second-order continuous-time dissipative dynamical systems with viscous and Hessian driven damping have inspired effective first-order algorithms for solving convex optimization pr…

math.NA2021★ 10 cited

A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour

Daniel Castanon Quiroz, Daniele Antonio Di Pietro, André Harnist

In this work, we design and analyze a Hybrid High-Order (HHO) discretization method for incompressible flows of non-Newtonian fluids with power-like convective behaviour. We work u…

math.AG2021★ 7 cited

Shifted symplectic reduction of derived critical loci

Mathieu Anel, Damien Calaque

We prove that the derived critical locus of a -invariant function carries a shifted moment map, and that its derived symplectic reduction is the derived cri…

math.AP2021★ 11 cited

An arbitrary order and pointwise divergence-free finite element scheme for the incompressible 3D Navier-Stokes equations

M. Hanot

In this paper we discretize the incompressible Navier-Stokes equations in the framework of finite element exterior calculus. We make use of the Lamb identity to rewrite the equatio…