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Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles

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Author(s):
Bezerra, Jamerson ; Sanchez, Adriana ; Tall, El Hadji Yaya
Total Authors: 3
Document type: Journal article
Source: Nonlinearity; v. 36, n. 6, p. 16-pg., 2023-06-01.
Abstract

We show that the top Lyapunov exponent ?(+)(p) , p = (p(1), . . . ,p(N)) with p(i) > 0 for each i, associated with a random product of quasi-periodic cocycles depends real analytically on the transition probabilities p whenever ?(+)(p) is simple. Moreover if the spectrum at p is simple (all Lyapunov exponents having multiplicity one ) then all Lyapunov exponents depend real analytically on p. (AU)

FAPESP's process: 18/07797-5 - Moduli of continuity of the Lyapunov exponents for linear cocycles with holonomies
Grantee:El Hadji Yaya Tall
Support Opportunities: Scholarships in Brazil - Post-Doctoral