Zobrazeno 1 - 10
of 197
pro vyhledávání: '"WORMELL, P."'
Autor:
Vytnova, Polina, Wormell, Caroline
The Apollonian gasket is a well-studied circle packing. Important properties of the packing, including the distribution of the circle radii, are governed by its Hausdorff dimension. No closed form is currently known for the Hausdorff dimension, and i
Externí odkaz:
http://arxiv.org/abs/2406.04922
Autor:
Wormell, Caroline L.
Equilibrium measures are special invariant measures of chaotic dynamical systems and iterated function systems, commonly studied as salient examples of fractal measures. While useful analytic expressions are rare, computational exploration of these m
Externí odkaz:
http://arxiv.org/abs/2312.11052
Autor:
Faranda, Davide, Messori, Gabriele, Alberti, Tommaso, Alvarez-Castro, Carmen, Caby, Théophile, Cavicchia, Leone, Coppola, Erika, Donner, Reik, Dubrulle, Bérengère, Galfi, Vera Melinda, Lembo, Valerio, Noyelle, Robin, Spagnolo, Bernardo, Vaienti, Sandro, Valenti, Davide, Yiou, Pascal, Wormell, Caroline
Statistical physics and dynamical systems theory are key tools to study high-impact geophysical events such as temperature extremes, cyclones, thunderstorms, geomagnetic storms and many more. Despite the intrinsic differences between these events, th
Externí odkaz:
http://arxiv.org/abs/2309.15393
Autor:
Wormell, Caroline L.
Extended Dynamic Mode Decomposition (EDMD) is a data-driven tool for forecasting and model reduction of dynamics, which has been extensively taken up in the physical sciences. While the method is conceptually simple, in deterministic chaos it is uncl
Externí odkaz:
http://arxiv.org/abs/2305.08074
Autor:
Morgan J. Edwards, Charlotte A. Hosie, Laura Naidenov, Eluned Price, Tessa E. Smith, Dominic Wormell, Christina R. Stanley
Publikováno v:
Journal of Zoological and Botanical Gardens, Vol 5, Iss 2, Pp 226-237 (2024)
Non-invasive behavioural indicators of welfare can be particularly useful for managing captive breeding populations of endangered species; these allow individual welfare to be monitored and reproductive success maximised without the need for capture
Externí odkaz:
https://doaj.org/article/387f455c3bbb47d3a9dc62a22bd89197
Autor:
Wormell, Caroline L.
When high-dimensional non-uniformly hyperbolic chaotic systems undergo dynamical perturbations, their long-time statistics are generally observed to respond differentiably with respect to the perturbation. Although important in applications, this dif
Externí odkaz:
http://arxiv.org/abs/2206.09292
Autor:
Wormell, Caroline L.
Publikováno v:
Ergod. Th. Dynam. Sys. 44 (2024) 1693-1723
While on the one hand, chaotic dynamical systems can be predicted for all time given exact knowledge of an initial state, they are also in many cases rapidly mixing, meaning that smooth probabilistic information (quantified by measures) on the system
Externí odkaz:
http://arxiv.org/abs/2206.09291
Autor:
Wormell, Caroline L.
The dynamics of many important high-dimensional dynamical systems are both chaotic and complex, meaning that strong reducing hypotheses are required to understand the dynamics. The highly influential chaotic hypothesis of Gallavotti and Cohen states
Externí odkaz:
http://arxiv.org/abs/2109.08080
Autor:
Wormell, Caroline L.
Intermittent maps of the interval are simple and widely-studied models for chaos with slow mixing rates, but have been notoriously resistant to numerical study. In this paper we present an effective framework to compute many ergodic properties of the
Externí odkaz:
http://arxiv.org/abs/2106.01498
Autor:
Paul Wormell, Pavel Michal, Adam Scott, Koushik Venkatesan, Kausala Mylvaganam, Tobias von Arx, Junya Kitamura, Jun Koshoubu, Alison Rodger
Publikováno v:
ACS Omega, Vol 8, Iss 40, Pp 37490-37500 (2023)
Externí odkaz:
https://doaj.org/article/568064b5212b490f8f6ed888cfcb2fa0