292 citations
- Université Côte d'AzurFR168 papers
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- Laboratoire de Mathématiques Blaise PascalFR14 papers
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- Observatoire de la Côte d’AzurFR10 papers
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- Laboratoire de Mathématiques d'OrsayFR8 papers
- Université Toulouse III - Paul SabatierFR8 papers
8 papers · 1 filter
A Remarkable Application of Zassenhaus Formula to Strongly Correlated Electron Systems
Louis Jourdan, Patrick Cassam-Chenaï
We show that the Zassenhaus decomposition for the exponential of the sum of two non-commuting operators, simplifies drastically when these operators satisfy a simple condition, cal…
Heteroclinic for a 6-dimensional reversible system occuring in orthogonal domain walls in convection
Gérard Iooss
A six-dimensional reversible normal form system occurs in B{é}nard-Rayleigh convection between parallel planes, when we look for domain walls intersecting orthogonally (see Buffoni…
Effective Action in Free Probability
Kurusch Ebrahimi-Fard, Frederic Patras
Recent works have explored relations between classical and quantum statistical physics on the one hand and Voiculescu's theory of free probability on the other. Motivated by these…
Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We consider a sequence of finite quantum graphs with few loops, so that they converge, in the sense of Benjamini-Schramm, to a random infinite quantum tree. We assume these quantum…
Lower bounds for the number of nodal domains for sums of two distorted plane waves in non-positive curvature
Maxime Ingremeau
In this paper, we will consider generalised eigenfunctions of the Laplacian on some surfaces of infinite area. We will be interested in lower bounds on the number of nodal domains…
Time-ordering and a generalized Magnus expansion
Michel Bauer, Raphael Chetrite, Kurusch Ebrahimi-Fard +1
Both the classical time-ordering and the Magnus expansion are well-known in the context of linear initial value problems. Motivated by the noncommutativity between time-ordering an…