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pro vyhledávání: '"HOLLAND, MARK"'
Two dynamical indicators, the local dimension and the extremal index, used to quantify persistence in phase space have been developed and applied to different data across various disciplines. These are computed using the asymptotic limit of exceedanc
Externí odkaz:
http://arxiv.org/abs/2411.14297
Autor:
Holland, Mark, Todd, Mike
For a probability measure preserving dynamical system $(\mathcal{X},f,\mu)$, the Poincar\'e Recurrence Theorem asserts that $\mu$-almost every orbit is recurrent with respect to its initial condition. This motivates study of the statistics of the pro
Externí odkaz:
http://arxiv.org/abs/2401.13300
We use extreme value theory to estimate the probability of successive exceedances of a threshold value of a time-series of an observable on several classes of chaotic dynamical systems. The observables have either a Fr\'echet (fat-tailed) or Weibull
Externí odkaz:
http://arxiv.org/abs/2311.02864
Suppose $(f,\mathcal{X},\mu)$ is a measure preserving dynamical system and $\phi \colon \mathcal{X} \to \mathbb{R}$ a measurable function. Consider the maximum process $M_n:=\max\{X_1 \ldots,X_n\}$, where $X_i=\phi\circ f^{i-1}$ is a time series of o
Externí odkaz:
http://arxiv.org/abs/2109.06314
Publikováno v:
In Physica D: Nonlinear Phenomena April 2024 460
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Autor:
Knight, Thomas, Atkin, Catherine, Kamwa, Vicky, Cooksley, Tim, Subbe, Chris, Holland, Mark, Sapey, Elizabeth, Lasserson, Daniel
Publikováno v:
In eClinicalMedicine December 2023 66
Autor:
Atkin, Catherine, Knight, Thomas, Cooksley, Tim, Holland, Mark, Subbe, Chris, Kennedy, Adrian, Varia, Ragit, Gebril, Adnan, Lasserson, Daniel
Publikováno v:
In European Journal of Internal Medicine December 2023 118:89-97