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math.SP2022
On spectral measures and convergence rates in von Neumann's Ergodic Theorem
M. Aloisio, S. L. Carvalho, C. R. de Oliveira +1
We show that the power-law decay exponents in von Neumann's Ergodic Theorem (for discrete systems) are the pointwise scaling exponents of a spectral measure at the spectral value~$…
math.DS2022
Exponential dichotomy for dynamically defined matrix-valued Jacobi operators
Silas L. Carvalho, Fabricio Vieira
We present in this work a proof of the exponential dichotomy for dynamically defined matrix-valued Jacobi operators in , given for each by t…