Corpus ID: 1177415

On the thermodynamics of curves and other curlicues

  title={On the thermodynamics of curves and other curlicues},
  author={R. R. Moore and A.J. van der Poorten},
Machine learning pipeline for battery state of health estimation
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Curlicues generated by circle homeomorphisms
We investigate the curves in the complex plane which are generated by sequences of real numbers being the lifts of the points on the orbit of an orientation preserving circle homeomorphism.Expand
Thermodynamic analogies for the characterization of 3D human coronary arteries
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Generalised Entropy of Curves for the Analysis and Classification of Dynamical Systems
According to the proposed method all linear dynamical systems evolve at constant zero entropy, while higher asymptotic values characterise nonlinear systems, in which case it has common features with other classic approaches. Expand
Limiting curlicue measures for theta sums
We consider the ensemble of curves $\{\gamma_{\alpha,N}:\alpha\in(0,1],N\in\N\}$ obtained by linearly interpolating the values of the normalized theta sum $N^{-1/2}\sum_{n=0}^{N'-1}\exp(\pi iExpand
A generalised entropy of curves: An approach to the analysis of dynamical systems
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Renormalisation of curlicues
The recursively spiralling patterns drawn in the complex plane by the values of SL( tau )= Sigma Ln=1 exp(i pi tau n2) as L to infinity with tau fixed in the range 0<or= tau <or=1, depend on theExpand