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Mathematics

D-Index
43
Citations
5836
World Ranking
1733
National Ranking
41

Research.com Recognitions

  • 2020 - Fellow of the Australian Academy of Science

Overview

Gary Froyland is affiliated with the University of New South Wales in Australia. Their research spans across the fields of Mathematics and Physics and Astronomy, with a specialized focus on Statistical and Nonlinear Physics, Mathematical Physics, Oceanography, Atmospheric Science, and Geometry and Topology.

The scientist's primary research topics include Mathematical Dynamics and Fractals, Quantum chaos and dynamical systems, Nonlinear Dynamics and Pattern Formation, Chaos control and synchronization, Oceanographic and Atmospheric Processes, Advanced Differential Equations and Dynamical Systems, as well as Fluid Dynamics and Turbulent Flows.

Froyland has contributed multiple publications in a range of academic venues. Frequent publication sites include arXiv (Cornell University) with 21 publications, Nonlinearity with 4, Nature Communications with 2, Journal of Physical Oceanography with 2, and SIAM Journal on Applied Dynamical Systems with 2.

Recent papers authored or co-authored by Gary Froyland include:

  • Detecting the birth and death of finite-time coherent sets, 2023, Communications on Pure and Applied Mathematics
  • Optimal Linear Response for Markov Hilbert-Schmidt Integral Operators and Stochastic Dynamical Systems, 2022, Journal of Nonlinear Science
  • Equilibrium states for non-transitive random open and closed dynamical systems, 2022, Ergodic Theory and Dynamical Systems
  • Linear response for the dynamic Laplacian and finite-time coherent sets, 2021, Nonlinearity
  • Fourier approximation of the statistical properties of Anosov maps on tori, 2020, Nonlinearity

The frequent co-authors collaborating with Froyland include Jason Atnip, Cecilia González-Tokman, Péter Koltai, Sandro Vaienti, and Stefano Galatolo.

Gary Froyland has been recognized with the award of Fellow of the Australian Academy of Science in 2020.

Best Publications

  • Almost-invariant sets and invariant manifolds — Connecting probabilistic and geometric descriptions of coherent structures in flows

    Gary Froyland;Kathrin Padberg

  • The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems

    Michael Dellnitz;Gary Froyland;Oliver Junge

  • A critical comparison of Lagrangian methods for coherent structure detection

    Alireza Hadjighasem;Mohammad Farazmand;Daniel Blazevski;Gary Froyland

  • LP-based disaggregation approaches to solving the open pit mining production scheduling problem with block processing selectivity

    Natashia Boland;Irina Dumitrescu;Gary Froyland;Ambros M. Gleixner

  • Transport in time-dependent dynamical systems: Finite-time coherent sets

    Gary Froyland;Naratip Santitissadeekorn;Adam Monahan

  • Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles

    Gary Froyland;Michael Dellnitz

  • An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems

    Gary Froyland

  • A strengthened formulation and cutting planes for the open pit mine production scheduling problem

    Andreas Bley;Natashia Boland;Christopher Fricke;Gary Froyland

  • Statistically optimal almost-invariant sets

    Gary Froyland

  • Extracting Dynamical Behavior via Markov Models

    Gary Froyland

  • Coherent sets for nonautonomous dynamical systems

    Gary Froyland;Simon Lloyd;Naratip Santitissadeekorn

  • Dynamic isoperimetry and the geometry of Lagrangian coherent structures

    Gary Froyland

  • How well-connected is the surface of the global ocean?

    Gary Froyland;Robyn M. Stuart;Erik van Sebille

  • Coherent structures and isolated spectrum for Perron-Frobenius cocycles

    Gary Froyland;Simon Lloyd;Anthony Quas

  • A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data.

    Gary Froyland;Kathrin Padberg-Gehle

  • Optimizing the landside operation of a container terminal

    Gary Froyland;Thorsten Koch;Nicole Megow;Emily Duane

  • A semi-invertible Oseledets Theorem with applications to transfer operator cocycles

    Gary Froyland;Simon Lloyd;Anthony Quas

  • On the isolated spectrum of the Perron-Frobenius operator

    Michael Dellnitz;Gary Froyland;Stefan Sertl

  • Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators

    M. Dellnitz;G. Froyland;C. Horenkamp;K. Padberg-Gehle

  • Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach

    Gary Froyland;Oliver Junge;Péter Koltai

Frequent Co-Authors

Natashia Boland
Natashia Boland Georgia Institute of Technology
Michael Dellnitz
Michael Dellnitz University of Paderborn
Sandro Vaienti
Sandro Vaienti Université de Toulon
Erik van Sebille
Erik van Sebille Utrecht University
Kazuyuki Aihara
Kazuyuki Aihara University of Tokyo
Matthew H. England
Matthew H. England University of New South Wales
Robert Behringer
Robert Behringer Duke University
Don Weatherburn
Don Weatherburn University of New South Wales
Jeff Moehlis
Jeff Moehlis University of California, Santa Barbara
Anne-Marie Treguier
Anne-Marie Treguier French Research Institute for Exploitation of the Sea

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