Positivity of Lyapunov exponents for Anderson-type models on two coupled strings.

Boumaza, Hakim; Stolz, Günter

Displaying similar documents to “Positivity of Lyapunov exponents for Anderson-type models on two coupled strings.”

Matrix entries of real representations of the groups $O (3)$ and $S O (3)$ .

Gordienko, V.M. (2002)

Sibirskij Matematicheskij Zhurnal

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Regularity for a clamped grid equation $u_{x x x x} + u_{y y y y} = f$ on a domain with a corner.

Gerasimov, Tymofiy, Sweers, Guido (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Existence and uniqueness of solutions to a super-linear three-point boundary-value problem.

Calvert, Bruce, Gupta, Chaitan P. (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Nonlinear evolution equations.

Lin, Chin-Yuan (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Large energy simple modes for a class of Kirchhoff equations.

Ghisi, Marina (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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The Leray measure of nodal sets for random eigenfunctions on the torus

Ferenc Oravecz, Zeév Rudnick, Igor Wigman (2008)

Annales de l’institut Fourier

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We study nodal sets for typical eigenfunctions of the Laplacian on the standard torus in $d \geq 2$ dimensions. Making use of the multiplicities in the spectrum of the Laplacian, we put a Gaussian measure on the eigenspaces and use it to average over the eigenspace. We consider a sequence of eigenvalues with growing multiplicity $𝒩 \to \infty$ . The quantity that we study is the Leray, or microcanonical, measure of the nodal set. We show that the expected value of the Leray measure of an eigenfunction...