Lyapunov exponents for products of matrices and multifractal analysis. Part II: General matrices

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Equilibrium states of the pressure function for products of matrices (2010, methodology): “It plays an important role in the multifractal analysis of Lyapunov exponents of matrices [11, 6, 8].”
Lyapunov Spectrum of Asymptotically Sub-additive Potentials (2009, methodology): “This is mainly motivated by the recent works on the Lyapunov exponents of matrix products [26, 23, 24] and the Lyapunov exponents of differential maps on nonconformal repellers [6].”
Multifractal formalism for self-similar measures with weak separation condition (2009, background): “It was shown in [9] that for a self-similar measure on its generating IFS is equi-contractive and satises the nite type condition, then the Lq-spectrum is always dierentiable over (0 ;1), furthermore, an analogue of Theorem 1.2 holds [ 11 ].”
Quantization (2019, unknown): “Theorem A. (See [6], [8, Proposition 5.1]) Let T := =1 v ( η i ).”
The thermodynamic formalism for sub-additive potentials (2007, background): “For the above purpose, a thermodynamic formalism (pressure functions, Gibbs measures and the distribution of Lyapunov exponents) for non-negative matrix-valued potentials was developed in [ 13 , 16].”