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- Igor Mezic

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
54
Citations
11,694
280
World Ranking
613
National Ranking
318

Engineering and Technology
D-index
55
Citations
16,064
361
World Ranking
1477
National Ranking
591

2017 - SIAM Fellow For sustained innovation at the dynamical systems theory/applications interface; notably for advances in the use of Koopman operator theory.

2015 - Fellow of American Physical Society (APS) Citation For fundamental contributions to the theory of threedimensional chaotic advection, measures and control of mixing, and development of a spectral operator theory approach to decomposition of complex fluid flows

1999 - Fellow of Alfred P. Sloan Foundation

- Quantum mechanics
- Mathematical analysis
- Statistics

Igor Mezic mainly investigates Nonlinear system, Mathematical analysis, Classical mechanics, Dynamical systems theory and Ergodic theory. His Nonlinear system study combines topics in areas such as Operator, Computation, Stability and Complex dynamics. His Mathematical analysis study combines topics from a wide range of disciplines, such as Eigenfunction and Dynamic mode decomposition.

The various areas that Igor Mezic examines in his Classical mechanics study include Flow, Chaotic, Vortex, Fluid mechanics and Mixing. The concepts of his Dynamical systems theory study are interwoven with issues in State variable, Statistical physics and Model predictive control. His studies in Reynolds number integrate themes in fields like Micromixer, Mixing, Micromixing and Hagen–Poiseuille equation.

- Chaotic Mixer for Microchannels (2578 citations)
- Spectral analysis of nonlinear flows (1128 citations)
- Spectral Properties of Dynamical Systems, Model Reduction and Decompositions (655 citations)

Igor Mezic mainly focuses on Mathematical analysis, Dynamical systems theory, Mechanics, Nonlinear system and Control theory. A large part of his Mathematical analysis studies is devoted to Ergodic theory. His studies deal with areas such as Statistical physics, State space, Eigenfunction and Attractor as well as Dynamical systems theory.

His Mechanics research is multidisciplinary, incorporating elements of Micromixer, Mixing and Classical mechanics. His Nonlinear system study integrates concerns from other disciplines, such as Operator and Applied mathematics. His work is dedicated to discovering how Applied mathematics, Dynamic mode decomposition are connected with Eigenvalues and eigenvectors and other disciplines.

- Mathematical analysis (15.93%)
- Dynamical systems theory (16.42%)
- Mechanics (15.20%)

- Applied mathematics (10.29%)
- Eigenfunction (9.56%)
- Operator (9.80%)

Applied mathematics, Eigenfunction, Operator, Dynamical systems theory and Eigenvalues and eigenvectors are his primary areas of study. His research in Applied mathematics intersects with topics in Dynamical system, Nonlinear system, Invariant and Dynamic mode decomposition. His Nonlinear system study is associated with Control theory.

His Eigenfunction study which covers Spectrum that intersects with Operator and Random dynamical system. His biological study spans a wide range of topics, including Ergodic theory, Operator theory, Mathematical analysis, Attractor and State space. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Flow, Vector field and Topological conjugacy.

- Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control (219 citations)
- Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator (163 citations)
- Global Stability Analysis Using the Eigenfunctions of the Koopman Operator (125 citations)

- Quantum mechanics
- Mathematical analysis
- Statistics

His main research concerns Eigenfunction, Applied mathematics, Spectrum, Dynamic mode decomposition and Operator. He has included themes like Fixed point, Attractor and Linear subspace in his Eigenfunction study. The various areas that he examines in his Applied mathematics study include Phase, Limit cycle, Nonlinear system, Invariant and Trajectory.

His work deals with themes such as Subspace topology, Mathematical analysis, Data-driven, Matrix decomposition and Vector field, which intersect with Dynamic mode decomposition. His Operator research incorporates elements of Discrete mathematics, State space and Ergodic theory. The study incorporates disciplines such as Dynamical systems theory and Continuous spectrum in addition to State space.

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.

Chaotic Mixer for Microchannels

Abraham D. Stroock;Stephan K. W. Dertinger;Armand Ajdari;Igor Mezić.

Science **(2002)**

4014 Citations

Spectral analysis of nonlinear flows

Clarence Rowley;Igor Mezic;Shervin Bagheri;Philipp Schlatter.

Bulletin of the American Physical Society **(2009)**

1817 Citations

Spectral Properties of Dynamical Systems, Model Reduction and Decompositions

Igor Mezić.

Nonlinear Dynamics **(2005)**

900 Citations

Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

Igor Mezić.

Annual Review of Fluid Mechanics **(2013)**

716 Citations

Applied Koopmanism

Marko Budišić;Ryan M. Mohr;Igor Mezić.

arXiv: Dynamical Systems **(2012)**

426 Citations

Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control

Milan Korda;Igor Mezić.

Automatica **(2018)**

403 Citations

Comparison of systems with complex behavior

Igor Mezić;Andrzej Banaszuk.

Physica D: Nonlinear Phenomena **(2004)**

331 Citations

A methodology for meta-model based optimization in building energy models

Bryan Eisenhower;Zheng O’Neill;Satish Narayanan;Vladimir A. Fonoberov.

Energy and Buildings **(2012)**

301 Citations

Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator

Hassan Arbabi;Igor Mezić.

Siam Journal on Applied Dynamical Systems **(2017)**

279 Citations

Uncertainty and sensitivity decomposition of building energy models

Bryan Eisenhower;Zheng O'Neill;Vladimir A. Fonoberov;Igor Mezić.

Journal of Building Performance Simulation **(2012)**

227 Citations

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