What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Dynamical systems theory (28.48%)
- Transfer operator (20.89%)
- Mathematical analysis (20.25%)
What were the highlights of his more recent work (between 2018-2021)?
- Applied mathematics (17.09%)
- Dynamical systems theory (28.48%)
- Laplace operator (8.23%)
In recent papers he was focusing on the following fields of study:
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.
Between 2018 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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