Directional derivatives and the central limit theorem on compact general one-dimensional lattices
We will show the central limit theorem for the general one-dimensional lattice where the
space of symbols is a compact metric space. We consider the CLT for Lipschitz-Gibbs …
space of symbols is a compact metric space. We consider the CLT for Lipschitz-Gibbs …
The Dirac operator for the pair of Ruelle and Koopman operators, and a generalized Boson formalism
WMM Braucks, AO Lopes - arXiv preprint arXiv:2409.18133, 2024 - arxiv.org
Denote by $\mu $ the maximal entropy measure for the shift acting on $\Omega=\{0,
1\}^\mathbb {N} $, by $\mathcal {L} $ the associated Ruelle operator and by $\mathcal …
1\}^\mathbb {N} $, by $\mathcal {L} $ the associated Ruelle operator and by $\mathcal …
The Involution Kernel and the Dual Potential for Functions in the Walters' Family
LY Hataishi, AO Lopes - Qualitative Theory of Dynamical Systems, 2023 - Springer
First, we set a suitable notation. Points in {0, 1} Z-{0}={0, 1} N×{0, 1} N= Ω-× Ω+, are denoted
by (y| x)=(..., y 2, y 1| x 1, x 2,...), where (x 1, x 2,...)∈{0, 1} N, and (y 1, y 2,...)∈{0, 1} N. The …
by (y| x)=(..., y 2, y 1| x 1, x 2,...), where (x 1, x 2,...)∈{0, 1} N, and (y 1, y 2,...)∈{0, 1} N. The …