Search Results - "Froyland, G."
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A Spectral Approach for Quenched Limit Theorems for Random Expanding Dynamical Systems
Published in Communications in mathematical physics (01-06-2018)“…We prove quenched versions of (i) a large deviations principle (LDP), (ii) a central limit theorem (CLT), and (iii) a local central limit theorem for…”
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Lagrangian dynamical geography of the Gulf of Mexico
Published in Scientific reports (01-08-2017)“…We construct a Markov-chain representation of the surface-ocean Lagrangian dynamics in a region occupied by the Gulf of Mexico (GoM) and adjacent portions of…”
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Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators
Published in Nonlinear processes in geophysics (08-12-2009)“…The detection of regions in the ocean that are coherent over an extended period of time is a fundamental problem in many oceanic applications. For instance…”
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Statistically optimal almost-invariant sets
Published in Physica. D (15-01-2005)“…Chaotic dynamical systems are often transitive, although this transitivity is sometimes very weak. It is of interest to divide the phase space into large…”
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Computer-Assisted Bounds for the Rate of Decay of Correlations
Published in Communications in mathematical physics (01-10-1997)Get full text
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Rigorous computation of topological entropy with respect to a finite partition
Published in Physica. D (01-06-2001)“…We present a method to compute rigorous upper bounds for the topological entropy h(T, A) of a continuous map T with respect to a fixed (coarse) partition of…”
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A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
Published 18-12-2018“…We extend the recent spectral approach for quenched limit theorems developed for piecewise expanding dynamics under general random driving [DrFrGTVa18] to…”
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Almost sure invariance principle for random piecewise expanding maps
Published 25-11-2018“…Nonlinearity 31 (2018) 2252-280 We prove a fiberwise almost sure invariance principle for random piecewise expanding transformations in one and higher…”
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Lagrangian geography of the deep Gulf of Mexico
Published 18-04-2018“…Using trajectories from acoustically tracked (RAFOS) floats in the Gulf of Mexico, we construct a geography of its Lagrangian circulation within the…”
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Estimating statistics of neuronal dynamics via Markov chains
Published in Biological cybernetics (01-01-2001)“…We present an efficient computational method for estimating the mean and variance of interspike intervals defined by the timing of spikes in typical orbits of…”
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Lagrangian dynamical geography of the Gulf of Mexico
Published 30-03-2017“…We construct a Markov-chain representation of the surface-ocean Lagrangian dynamics in a region occupied by the Gulf of Mexico (GoM) and adjacent portions of…”
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