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20022011
most citedA Complete Renormalization Group Trajectory Between Two Fixed Points

51 citations

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math.AP2008

Long-time existence for semi-linear Klein-Gordon equations with quadratic potential

Qidi Zhang

We prove that small smooth solutions of semi-linear Klein-Gordon equations with quadratic potential exist over a longer interval than the one given by local existence theory, for a…

math-ph2008★ 10 cited

Localization on quantum graphs with random edge lengths

Frédéric Klopp, Konstantin Pankrashkin

The spectral properties of the Laplacian on a class of quantum graphs with random metric structure are studied. Namely, we consider quantum graphs spanned by the simple $\ZZ^d$-lat…

math.DS2008

Partial hyperbolicity far from homoclinic bifurcations

Sylvain Crovisier

We prove that any diffeomorphism of a compact manifold can be C^1-approximated by a diffeomorphism which exhibits a homoclinic bifurcation (a homoclinic tangency or a heterodimensi…

math.DS2008

Nonuniform hyperbolicity for C^1-generic diffeomorphisms

Flavio Abdenur, Christian Bonatti, Sylvain Crovisier

We study the ergodic theory of non-conservative C^1-generic diffeomorphisms. First, we show that homoclinic classes of arbitrary diffeomorphisms exhibit ergodic measures whose supp…

math.DS2008

Realisation of measured dynamics as uniquely ergodic minimal homeomorphisms on manifolds

François Béguin, Sylvain Crovisier, Frédéric Le Roux

We prove that the family of measured dynamical systems which can be realised as uniquely ergodic minimal homeomorphisms on a given manifold (of dimension at least two) is stable un…

math.AP2008

On ill-posedness for the one-dimensional periodic cubic Schrodinger equation

Luc Molinet

We prove the ill-posedness in $ H^s(\T) $, , of the periodic cubic Schrödinger equation in the sense that the flow-map is not continuous from $H^s(\T) $ into itself for any fi…