Regular Expansion for the Characteristic Exponent of a Product of 2 x 2 Random Matrices

Havret, Benjamin ✉

Angol nyelvű Tudományos Szakcikk (Folyóiratcikk)
  • SJR Scopus - Geometry and Topology: Q2
    We consider a product of 2 x 2 random matrices which appears in the physics literature in the analysis of some 1D disordered models. These matrices depend on a parameter ? >0 and on a positive random variable Z. Derrida and Hilhorst (J. Phys. 16(12), 2641, 1983, 3) conjecture that the corresponding characteristic exponent has a regular expansion with respect to ? up to and not further an order determined by the distribution of Z. We give a rigorous proof of that statement. We also study the singular term which breaks that expansion.
    Hivatkozás stílusok: IEEEACMAPAChicagoHarvardCSLMásolásNyomtatás
    2020-09-18 19:36