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pro vyhledávání: '"Lopes, Artur O."'
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 $\mathcal{K} = \mathcal{L}^*$ the Koopman operator, both acting on $L^2(\mu)$. It is natural to
Externí odkaz:
http://arxiv.org/abs/2409.18133
For H\"older continuous functions $f_i$, $i=0,\ldots ,d$, on a subshift of finite type and $\Theta\subset \mathbb \R^d$ we consider a parametrized family of potentials $\{F_\theta= f_0+\sum_{i=1}^d \theta_i f_i : \theta\in \Theta\}$. We show that the
Externí odkaz:
http://arxiv.org/abs/2408.01104
We will consider a family of cellular automata $\Phi: \{1,2,...,r\}^\mathbb{N}\circlearrowright$ that are not of algebraic type. Our first goal is to determine conditions that result in the identification of probabilities that are at the same time $\
Externí odkaz:
http://arxiv.org/abs/2407.04658
Autor:
Knorst, Josue, Lopes, Artur O.
Given a smooth potential $W:\mathrm{T}^{n} \to \mathbb{R}$ on the torus, the Quantum Guerra-Morato action functional is given by \smallskip $ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,\,\,\, I(\psi) = \int\,(\, \, \,\frac{D v\, D v^*}{2}(x)
Externí odkaz:
http://arxiv.org/abs/2403.05865
We consider topological groupoids in finite and also in a compact settings. In the initial sections, we introduce definitions of typical observables and we studied them in the context of statistical mechanics and quantum mechanics. We exhibit explici
Externí odkaz:
http://arxiv.org/abs/2303.11752
Autor:
Lopes, Artur O., Mengue, Jairo. K.
We introduce a general IFS Bayesian method for getting posterior probabilities from prior probabilities, and also a generalized Bayes' rule, which will contemplate a dynamical, as well as a non-dynamical setting. Given a loss function ${l}$, we detai
Externí odkaz:
http://arxiv.org/abs/2212.01147
Autor:
Hataishi, Lucas Y., Lopes, Artur O.
Our notation: Points in $\{0,1\}^{\mathbb{Z}-\{0\}} =\{0,1\}^\mathbb{N}\times \{0,1\}^\mathbb{N}=\Omega^{-} \times \Omega^{+}$, are denoted by $( y|x) =(...,y_2,y_1|x_1,x_2,...)$, where $(x_1,x_2,...) \in \{0,1\}^\mathbb{N}$, and $(y_1,y_2,...) \in \
Externí odkaz:
http://arxiv.org/abs/2206.00996
Autor:
Lopes, Artur O., Ruggiero, Rafael O.
We consider here the discrete time dynamics described by a transformation $T:M \to M$, where $T$ is either the action of shift $T=\sigma$ on the symbolic space $M=\{1,2,...,d\}^\mathbb{N}$, or, $T$ describes the action of a $d$ to $1$ expanding trans
Externí odkaz:
http://arxiv.org/abs/2203.09677
$M_n(\mathbb{C})$ denotes the set of $n$ by $n$ complex matrices. Consider continuous time quantum semigroups $\mathcal{P}_t= e^{t\, \mathcal{L}}$, $t \geq 0$, where $\mathcal{L}:M_n(\mathbb{C}) \to M_n(\mathbb{C})$ is the infinitesimal generator. If
Externí odkaz:
http://arxiv.org/abs/2201.05094
Autor:
Lopes, Artur O., Vargas, Victor
Publikováno v:
Bull. Braz. Math. Soc. (N.S.). 53 (3): 1073-1106, 2022
Denote by $X$ a Banach space and by $T : X \to X$ a bounded linear operator with non-trivial kernel satisfying suitable conditions. We consider the concepts of entropy - for $T$-invariant probability measures - and pressure for H\"older continuous po
Externí odkaz:
http://arxiv.org/abs/2105.00078