35 citations · 147 across the 29 of their papers we have counts for
40 papers
Isospectral Reductions of Non-negative Matrices
Alexandre Baraviera, Pedro Duarte, Longmei Shu +1
Isospectral reduction is an important tool for network/matrix analysis as it reduces the dimension of a matrix/network while preserving its eigenvalues and eigenvectors. The main c…
Continuity of the Lyapunov exponents of non-invertible random cocycles with constant rank
Catalina Freijo, Pedro Duarte
In this paper we establish uniform large deviations estimates of exponential type and Hölder continuity of the Lyapunov exponents for random non-invertible cocycles with constant r…
Statistical properties for mixing Markov chains with applications to dynamical systems
Ao Cai, Pedro Duarte, Silvius Klein
We establish an abstract, effective, exponential large deviations type estimate for Markov systems satisfying a weaker form of mixing. We employ this result to derive such estimate…
A dynamical Thouless formula
Jamerson Bezerra, Ao Cai, Pedro Duarte +2
In this paper we establish an abstract, dynamical Thouless-type formula for affine families of cocycles. This result extends the classical formula rela…
Upper bound on the regularity of the Lyapunov exponent for random products of matrices
Jamerson Bezerra, Pedro Duarte
We prove that if is a finitely supported measure on with positive Lyapunov exponent but not uniformly hyperbolic, then the Lyapunov exponent function…
Furstenberg Theory of Mixed Random-Quasiperiodic Cocycles
Ao Cai, Pedro Duarte, Silvius Klein
We derive a criterion for the positivity of the maximal Lyapunov exponent of generic mixed random-quasiperiodic linear cocycles, a model introduced in a previous work. This result…