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20022011
most citedExistence, uniqueness and approximation of a stochastic Schrödinger equation: the diffusive case

72 citations

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Showing 2010Show all

29 papers · 1 filter

math.AP2010★ 14 cited

Stability of Periodic Kuramoto-Sivashinsky Waves

Blake Barker, Mathew A. Johnson, Pascal Noble +2

In this note, we announce a general result resolving the long-standing question of nonlinear modulational stability, or stability with respect to localized perturbations, of period…

math.PR2010

Two Pinning Models with Markov disorder

Julien Poisat

Disordered pinning models deal with the (de)localization tran- sition of a polymer in interaction with a heterogeneous interface. In this paper, we focus on two models where the in…

math.AP2010★ 1 cited

Modulated wave trains in generalized Kuramoto-Sivashinksi equations

Pascal Noble, Luis Miguel Rodrigues

This paper is concerned with the stability of periodic wave trains in a generalized Kuramoto-Sivashinski (gKS) equation. This equation is useful to describe the weak instability of…

math.CO2010★ 4 cited

Pfaffian decomposition and a Pfaffian analogue of q-Catalan Hankel determinants

Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng

Motivated by the Hankel determinant evaluation of moment sequences, we study a kind of Pfaffian analogue evaluation. We prove an LU-decomposition analogue for skew-symmetric matric…

math.AP2010★ 10 cited

Whitham's equations for modulated roll-waves in shallow flows

Pascal Noble, Luis Miguel Rodrigues

This paper is concerned with the detailed behaviour of roll-waves undergoing a low-frequency perturbation. We rst derive the so-called Whitham's averaged modulation equations and r…

math.OA2010★ 1 cited

Spectral triples and aperiodic order

J. Kellendonk, J. Savinien

We construct spectral triples for compact metric spaces (X, d). This provides us with a new metric d_s on X. We study its relation with the original metric d. When X is a subshift…