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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2007Show all

33 papers · 1 filter

math.PR2007★ 7 cited

Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality

Patrick Cattiaux, Arnaud Guillin, Feng-Yu Wang +1

We show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincaré inequality (for instance logarithmic Sobolev or -Sobolev). The case of P…

math.GR2007★ 11 cited

-trees, dual laminations, and compact systems of partial isometries

Thierry Coulbois, Arnaud Hilion, Martin Lustig

Let $\FN$ be a free group of finite rank , and let be an -tree with a very small, minimal action of $\FN$ with dense orbits. For any basis $\CA$ of $\FN$ there ex…

math.NA2007

A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem Part I -- the isothermal case

Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché

In this paper, we propose a discretization for the (nonlinearized) compressible Stokes problem with a linear equation of state , based on Crouzeix-Raviart elements. The approx…

math.LO2007

Five Conferences on Undecidability

Nicolas Bouleau, Jean-Yves Girard, Alain Louveau

These five lectures on undecidability were given to students with a good level in mathematics but with no special knowledge on logic. The first conference presents the formalizatio…

math-ph2007★ 45 cited

Poisson brackets in Hydrodynamics

Boris Kolev

This paper investigates different Poisson structures that have been proposed to give a Hamiltonian formulation to evolution equations issued from fluid mechanics. Our aim is to exp…

math.GR2007★ 47 cited

Geometric Intersection Number and analogues of the Curve Complex for free groups

Ilya Kapovich, Martin Lustig

For the free group of finite rank we construct a canonical Bonahon-type continuous and -invariant \emph{geometric intersection form} \[ <, >: \bar{cv}(…