output
19932020
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing 2007Show all

10 papers · 1 filter

math.CA2007★ 60 cited

Bers and Hénon, Painlevé and Schroedinger

Serge Cantat

We study the dynamics of mapping class groups on 2-dimensional character varieties. We shall show that the dynamics of pseudo-Anosov mapping classes resembles in many ways the dyna…

math-ph2007★ 6 cited

On the optimization of the principal eigenvalue for single-centre point-interaction operators in a bounded region

Pavel Exner, Andrea Mantile

We investigate relations between spectral properties of a single-centre point-interaction Hamiltonian describing a particle confined to a bounded domain $Ω\subset\mathbb{R}^{d},\:…

math.OA2007★ 46 cited

Sums of hermitian squares and the BMV conjecture

Igor Klep, Markus Schweighofer

Recently Lieb and Seiringer showed that the Bessis-Moussa-Villani conjecture from quantum physics can be restated in the following purely algebraic way: The sum of all words in two…

math.GT2007★ 8 cited

Degenerations of quadratic differentials on CP1

Corentin Boissy

We describe the connected components of the complement of a natural "diagonal" of real codimension 1 in a stratum of quadratic differentials on CP1. We establish a natural bijectio…

math.PR2007★ 3 cited

Random environment on coloured trees

Mikhail Menshikov, Dimitri Petritis, Stanislav Volkov

In this paper, we study a regular rooted coloured tree with random labels assigned to its edges, where the distribution of the label assigned to an edge depends on the colours of i…

math.SP2007★ 11 cited

On spectral properties of translationally invariant magnetic Schrödinger operators

D. Yafaev

We consider a class of translationally invariant magnetic fields such that the corresponding potential has a constant direction. Our goal is to study basic spectral properties of t…

math.PR2007★ 226 cited

Quadratic BSDEs with convex generators and unbounded terminal conditions

Philippe Briand, Ying Hu

In a previous work, we proved an existence result for BSDEs with quadratic generators with respect to the variable z and with unbounded terminal conditions. However, no uniqueness…

cond-mat.soft2007★ 79 cited

Experimental growth law for bubbles in a "wet" 3D liquid foam

Jérôme Lambert, Rajmund Mokso, Isabelle Cantat +4

We used X-ray tomography to characterize the geometry of all bubbles in a liquid foam of average liquid fraction and to follow their evolution, measuring the norm…

math.NT2007★ 12 cited

Analytic curves in algebraic varieties over number fields

Jean-Benoît Bost, Antoine Chambert-Loir

We establish algebraicity criteria for formal germs of curves in algebraic varieties over number fields and apply them to derive a rationality criterion for formal germs of functio…

cond-mat.stat-mech2007★ 68 cited

On the existence of stationary states during granular compaction

Philippe Ribière, Patrick Richard, Pierre Philippe +2

When submitted to gentle mechanical taps a granular packing slowly compacts until it reaches a stationary state that depends on the tap characteristics. The properties of such stat…