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2012

2012

Our idea is to imitate Smale’s list of problems, in a restricted domain of mathematical aspects of Celestial Mechanics. All the… Expand

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2007

Highly Cited

2007

We present a generalization of the orthonormal Daubechies wavelets and of their related biorthogonal flavors (Cohen-Daubechies… Expand

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2007

Highly Cited

2007

Observing quantum phenomena in strongly correlated many-particle systems is difficult because of the short length- and timescales… Expand

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1998

Highly Cited

1998

Abstract We investigate the growth and the orbital evolution of protoplanets embedded in a swarm of planetesimals using three… Expand

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1998

Highly Cited

1998

A reduced periodic orbit is one which is periodic modulo a rigid motion. If such an orbit for the planar N-body problem is… Expand

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1996

Highly Cited

1996

New numerical simulations of the formation of the giant of the second phase. planets are presented, in which for the first time… Expand

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1995

Highly Cited

1995

We propose, as a generalization of an idea of Ruelle's to describe turbulent fluid flow, a chaotic hypothesis for reversible… Expand

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1992

Highly Cited

1992

Abstract We solve the N-body Calogero problem, i.e., N particles in one dimension subject to a two-body interaction of the form 1… Expand

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1991

Highly Cited

1991

This book gives a systematic grounding in the theory of Hamiltonian differential equations from a dynamical systems point of view… Expand

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1986

Highly Cited

1986

Until recently the gravitational N-body problem has been modelled numerically either by direct integration, in which the… Expand

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