output
20052022
most citedHalf polarized U(1) symmetric vacuum spacetimes with AVTD behavior

55 citations

13 papers

econ.TH2022★ 3 cited

Bounded Rationality and Animal Spirits: A Fluctuation-Response Approach to Slutsky Matrices

Jerome Garnier-Brun, Jean-Philippe Bouchaud, Michael Benzaquen

The Slutsky equation, central in consumer choice theory, is derived from the usual hypotheses underlying most standard models in Economics, such as full rationality, homogeneity, a…

q-fin.TR2021★ 3 cited

On Hawkes Processes with Infinite Mean Intensity

Cecilia Aubrun, Michael Benzaquen, Jean-Philippe Bouchaud

The stability condition for Hawkes processes and their non-linear extensions usually relies on the condition that the mean intensity is a finite constant. It follows that the total…

cs.CE2021★ 13 cited

The eXtreme Mesh deformation approach (X-MESH) for the Stefan phase-change model

Nicolas Moes, Jean-Francois Remacle, Jonathan Lambrechts +2

The eXtreme Mesh deformation approach (X-MESH) is a new paradigm to follow sharp interfaces without remeshing and without changing the mesh topology. Even though the mesh does not…

q-fin.TR2021★ 23 cited

Exogenous and Endogenous Price Jumps Belong to Different Dynamical Classes

Riccardo Marcaccioli, Jean-Philippe Bouchaud, Michael Benzaquen

Synchronising a database of stock specific news with 5 years worth of order book data on 300 stocks, we show that abnormal price movements following news releases (exogenous) exhib…

cond-mat.stat-mech2021★ 8 cited

A new spin on optimal portfolios and ecological equilibria

Jerome Garnier-Brun, Michael Benzaquen, Stefano Ciliberti +1

We consider the classical problem of optimal portfolio construction with the constraint that no short position is allowed, or equivalently the valid equilibria of multispecies Lotk…

q-fin.GN2021

Radical Complexity

Jean-Philippe Bouchaud

This is an informal and sketchy review of six topical, somewhat unrelated subjects in quantitative finance: rough volatility models; random covariance matrix theory; copulas; crowd…

cond-mat.dis-nn2020★ 2 cited

On a Generalisation of the Marcenko-Pastur Problem

Jean-Philippe Bouchaud, Marc Potters

We study the spectrum of generalized Wishart matrices, defined as , where and are matrices with zero mean, unit variance…

math.CA2015★ 12 cited

Dynamics on Wild Character Varieties

Emmanuel Paul, Jean-Pierre Ramis

In the present paper, we will first present briefly a general research program about the study of the "natural dynamics" on character varieties and wild character varieties. Afterw…

gr-qc2010

Energy estimate for initial data on a characteristic cone

Yvonne Choquet-Bruhat, José M. Martín-García

The Einstein equations in wave map gauge are a geometric second order system for a Lorentzian metric. To study existence of solutions of this hyperbolic quasi diagonal system with…

gr-qc2010

Einstein constraints on a characteristic cone

Yvonne Choquet-Bruhat, Piotr T. Chruściel, José M. Martín-García

We analyse the Cauchy problem on a characteristic cone, including its vertex, for the Einstein equations in arbitrary dimensions. We use a wave map gauge, solve the obtained constr…

math.HO2009★ 1 cited

Un successeur de Bouguer : Étienne Bézout (1730 -- 1783) commissaire pour la marine à l'Académie royale des sciences

Liliane Alfonsi

Étienne Bézout, member of the Académie Royale des Sciences, have to study some works and books sended at the Académy. In this article, we will look at this responsibility for Navy,…

gr-qc2009★ 25 cited

The light-cone theorem

Yvonne Choquet-Bruhat, Piotr T. Chrusciel, Jose M. Martin-Garcia

We prove that the area of cross-sections of light-cones, in space-times satisfying suitable energy conditions, is smaller than or equal to that of the corresponding cross-sections…

gr-qc2005★ 55 cited

Half polarized U(1) symmetric vacuum spacetimes with AVTD behavior

Yvonne Choquet-Bruhat, James Isenberg

In a previous work, we used a polarization condition to show that there is a family of U(1) symmetric solutions of the vacuum Einstein equations such that each exhibits AVTD (Asymp…