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From pixels to planning: scale-free active inference. [PDF]

open access: yesFront Netw Physiol
Friston K   +9 more
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Schlicht Dirichlet Series

Canadian Journal of Mathematics, 1958
For power series(1.1) for which(1.2),it has been known for four decades (1) that ƒ(z) is regular and univalent or schlicht in |z| < 1. This theorem, due to J. W. Alexander, has more recently been studied by Remak (5) who has shown that w = ƒ(z), under the hypothesis (1.2), maps |z| < 1 onto a star-like region, and if (1.2) is not satisfied=(z ...
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Dirichlet Series

2014
Mathematicians are very interested in prime numbers. In this snapshot, we will discuss some problems concerning the distribution of primes and introduce some special infinite series in order to study them.
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Chebyshev Subspaces of Dirichlet Series

Moscow University Mathematics Bulletin, 2023
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Regularly Increasing Entire Dirichlet Series

Mathematical Notes, 2003
Let \(F(s)=\sum_{n=0}^\infty a_ne^{s\lambda_n}\), \(s=\sigma+it\in\mathbb C\), be an entire Dirichlet series with \(\lambda_0=0\leq\lambda_n\nearrow+\infty\). Put \(M(\sigma):=\max\{| F(\sigma+it)| : t\in\mathbb R\}\), \(\mu(\sigma):=\max\{| a_n| e^{\sigma\lambda_n}: n\geq0\}\).
Filevich, P. V., Sheremeta, M. N.
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Discrete observability and dirichlet series

Systems & Control Letters, 1987
The authors consider the problem of recovering the initial data of the heat equation in a bounded domain with standard boundary conditions, by output measurements, discrete in time and space. Using properties of Dirichlet series, they obtain a necessary and sufficient condition of observability.
Gilliam, David S., Martin, Clyde
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Overconvergence Properties of Dirichlet Series

Potential Analysis, 2020
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