Skip to Main content Skip to Navigation
Journal articles

Degenerations of SL(2,C) representations and Lyapunov exponents

Abstract : We study the asymptotic behavior of the Lyapunov exponent in a meromorphic family of random products of matrices in SL(2, C), as the parameter converges to a pole. We show that the blow-up of the Lyapunov exponent is governed by a quantity which can be interpreted as the non-Archimedean Lyapunov exponent of the family. We also describe the limit of the corresponding family of stationary measures on P 1 (C).
Complete list of metadatas

Cited literature [25 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01736453
Contributor : Charles Favre <>
Submitted on : Saturday, March 17, 2018 - 10:56:50 AM
Last modification on : Friday, March 27, 2020 - 3:53:27 AM
Document(s) archivé(s) le : Tuesday, September 11, 2018 - 5:26:59 AM

Files

degenerations_SL2.pdf
Files produced by the author(s)

Identifiers

Citation

Romain Dujardin, Charles Favre. Degenerations of SL(2,C) representations and Lyapunov exponents. Annales Henri Lebesgue, 2019, ⟨10.5802/ahl.24⟩. ⟨hal-01736453⟩

Share

Metrics

Record views

732

Files downloads

468