2020 - Fellow of the Australian Academy of Science
His primary scientific interests are in Dynamical systems theory, Statistical physics, Invariant, Algorithm and Oceanography. Gary Froyland integrates Dynamical systems theory and Phase space in his studies. His Statistical physics study integrates concerns from other disciplines, such as Theoretical physics, Turbulence, Computation and Mathematical analysis.
His Invariant studies intersect with other subjects such as Invariant manifold, Lyapunov exponent, Transfer operator, Attractor and Invariant measure. His Algorithm study combines topics in areas such as Scheduling, Mathematical optimization and Open-pit mining. His work on Marine debris as part of general Oceanography research is frequently linked to Ocean gyre and Garbage, bridging the gap between disciplines.
Gary Froyland mostly deals with Dynamical systems theory, Transfer operator, Mathematical analysis, Statistical physics and Applied mathematics. His studies deal with areas such as Ergodic theory, Invariant measure and Computation as well as Dynamical systems theory. His research in Transfer operator tackles topics such as Dynamical system which are related to areas like Trajectory.
He combines subjects such as Eigenvalues and eigenvectors, Eigenfunction and Lyapunov exponent with his study of Mathematical analysis. His Statistical physics research includes elements of Flow and Aperiodic graph. His work focuses on many connections between Applied mathematics and other disciplines, such as Markov chain, that overlap with his field of interest in Discrete mathematics.
His main research concerns Applied mathematics, Dynamical systems theory, Laplace operator, Transfer operator and Nonlinear system. His Dynamical systems theory study combines topics from a wide range of disciplines, such as Statistical physics, Rotation, Orientation, Aperiodic graph and Computation. His study looks at the intersection of Statistical physics and topics like Limit with Large deviations theory.
His study on Laplace operator also encompasses disciplines like
Gary Froyland spends much of his time researching Dynamical systems theory, Transfer operator, Ergodic theory, Statistical physics and Laplace operator. His Dynamical systems theory research incorporates themes from Mathematical analysis and Unsteady flow. His Transfer operator study incorporates themes from Weight function, Conformal map, Invertible matrix and Combinatorics.
His Ergodic theory research is multidisciplinary, incorporating perspectives in Central limit theorem, Large deviations theory, Limit and Piecewise. His Statistical physics research is multidisciplinary, incorporating elements of Finite time, Aperiodic graph and Computation. His Laplace operator study integrates concerns from other disciplines, such as Eigengap, Eigenfunction, Isoperimetric inequality, Nonlinear system and Partition.
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Origin, dynamics and evolution of ocean garbage patches from observed surface drifters
Erik van Sebille;Matthew H England;Gary Froyland.
Environmental Research Letters (2012)
Almost-invariant sets and invariant manifolds — Connecting probabilistic and geometric descriptions of coherent structures in flows
Gary Froyland;Kathrin Padberg.
Physica D: Nonlinear Phenomena (2009)
The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems
Michael Dellnitz;Gary Froyland;Oliver Junge.
Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems (2001)
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.
Computers & Operations Research (2009)
Transport in time-dependent dynamical systems: Finite-time coherent sets
Gary Froyland;Naratip Santitissadeekorn;Adam Monahan.
A critical comparison of Lagrangian methods for coherent structure detection
Alireza Hadjighasem;Mohammad Farazmand;Daniel Blazevski;Gary Froyland.
Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles
Gary Froyland;Michael Dellnitz.
SIAM Journal on Scientific Computing (2002)
Detection of coherent oceanic structures via transfer operators.
Gary Froyland;Kathrin Padberg;Matthew H. England;Anne Marie Treguier.
Physical Review Letters (2007)
Statistically optimal almost-invariant sets
Physica D: Nonlinear Phenomena (2005)
A strengthened formulation and cutting planes for the open pit mine production scheduling problem
Andreas Bley;Natashia Boland;Christopher Fricke;Gary Froyland.
Computers & Operations Research (2010)
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