P. Mounaix

activity

20042009

most citedErratum: Propagation Effects on the Breakdown of a Linear Amplifier Model: Complex-Mass Schrodinger Equation Driven by the Square of a Gaussian Field

9 citations · 10 across the 2 of their papers we have counts for

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4 papers · 1 filter

math-ph2009★ 1 cited

Note on the Transition to Intermittency for the exponential of the Square of a Steinhaus Series

Philippe Mounaix, Pierre Collet

Intermittency of $E_{N} (x, g) = exp [g ∣ S_{N} (x) ∣^{2}]$ as $N \to + \infty$ is investigated on a $d$ -dimensional torus $Λ$ , when $S_{N} (x)$ is a finite Steinhaus series o…

math-ph2007★ 9 cited

Erratum: Propagation Effects on the Breakdown of a Linear Amplifier Model: Complex-Mass Schrodinger Equation Driven by the Square of a Gaussian Field

Philippe Mounaix, Pierre Collet, Joel L. Lebowitz

The proof of the inequality $λ_{q} (x, t) \leq (q μ_{x, t} - 0^{+})^{- 1}$ [p 750, below Eq. (29)] is based on the statement that $E (x, t; s)$ is an entire function of $s\in {\mathbb C}…

math-ph2005

Propagation Effects on the Breakdown of a Linear Amplifier Model: Complex-Mass Schrodinger Equation Driven by the Square of a Gaussian Field

Philippe Mounaix, Pierre Collet, Joel L. Lebowitz

Solutions to the equation $\partial_{t} E (x, t) - \frac{i}{2 m} Δ E (x, t) = λ ∣ S (x, t) ∣^{2} E (x, t)$ are investigated, where $S (x, t)$ is a complex Gaussian field with zero mean…

math-ph2004

Note on a diffraction-amplification problem

Philippe Mounaix, Joel L. Lebowitz

We investigate the solution of the equation \partial_t E(x,t)-iD\partial_x^2 E(x,t)= λ|S(x,t)|^2 E(x,t)$, for x in a circle and S(x,t) a Gaussian stochastic field with a covariance…