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- Gary Froyland

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
38
Citations
4,654
116
World Ranking
1610
National Ranking
39

2020 - Fellow of the Australian Academy of Science

- Mathematical analysis
- Statistics
- Geometry

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.

- Origin, dynamics and evolution of ocean garbage patches from observed surface drifters (240 citations)
- Almost-invariant sets and invariant manifolds — Connecting probabilistic and geometric descriptions of coherent structures in flows (226 citations)
- The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems (178 citations)

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.

- Dynamical systems theory (28.48%)
- Transfer operator (20.89%)
- Mathematical analysis (20.25%)

- Applied mathematics (17.09%)
- Dynamical systems theory (28.48%)
- Laplace operator (8.23%)

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

- Eigenfunction and related Mixing,
- Eigenvalues and eigenvectors which is related to area like Discretization, Finite element method, Algorithm, Sparse approximation and Eigengap. His Transfer operator research incorporates elements of Kernel and Surjective function, Combinatorics. Gary Froyland has included themes like Absolute continuity, Pure mathematics and Numerical analysis in his Nonlinear system study.

- Sparse eigenbasis approximation: Multiple feature extraction across spatiotemporal scales with application to coherent set identification (24 citations)
- Lagrangian geography of the deep gulf of mexico (18 citations)
- A spectral approach for quenched limit theorems for random hyperbolic dynamical systems (18 citations)

- Mathematical analysis
- Statistics
- Geometry

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Origin, dynamics and evolution of ocean garbage patches from observed surface drifters

Erik van Sebille;Matthew H England;Gary Froyland.

Environmental Research Letters **(2012)**

448 Citations

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)**

272 Citations

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)**

267 Citations

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)**

212 Citations

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

Gary Froyland;Naratip Santitissadeekorn;Adam Monahan.

Chaos **(2010)**

180 Citations

A critical comparison of Lagrangian methods for coherent structure detection

Alireza Hadjighasem;Mohammad Farazmand;Daniel Blazevski;Gary Froyland.

Chaos **(2017)**

164 Citations

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

Gary Froyland;Michael Dellnitz.

SIAM Journal on Scientific Computing **(2002)**

162 Citations

Detection of coherent oceanic structures via transfer operators.

Gary Froyland;Kathrin Padberg;Matthew H. England;Anne Marie Treguier.

Physical Review Letters **(2007)**

159 Citations

Statistically optimal almost-invariant sets

Gary Froyland.

Physica D: Nonlinear Phenomena **(2005)**

149 Citations

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)**

143 Citations

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