For more information on Dr. Igor Mezic, please refer to this interview by AMR Podcasts.

Our current research is centered around operator-theoretic approach to analysis of nonlinear dynamical systems, applications in microfluidics and (bio)-nanotechnology. The research topics can be grouped as follows:

  • Mixing and separation in fluids across the scales with applications ranging from microfluidic phenomena to oceanographic flows,
  • Nano and micro-scale particle dynamics induced by dielectrophoresis and otherelectrokinetic phenomena, with applications to biotechnology,
  • Multiscale dynamics of the Atomic Force Microscope, including interactions with biomolecules,
  • Dynamical systems theory of complex systems, including large-scale networked systems

In each of these topics, the research is characterized by pursuit of the key physical phenomena in a device or system followed by the abstraction of the mathematical problem (or problems) associated with it. We close the loop by applying the solution of the mathematical problem to explain the physical phenomena or design new concepts based on which devices can be built or improved.

News

13 February 2019 - Visiting researcher Corbinian Schlosser heads back to Austria

Corbinian, originally from Germany, is a mathematics masters student studying at the University of Innsbruck in Austria. He has been with us since late summer 2018 and is now back at his home university to finish his masters thesis. We'll miss you Corbi!

11-15 February 2019 - Igor Mezic and colleagues host a work shop at IPAM!

Igor Mezic, as part of an orgainizing committee including Didier Henrion (CNRS, LAAS), Senka Macesic (University of Rijeka), and Mihai Putinar (UCSB), hosted a workshop titled "Operator Theoretic Methods in Dynamic Data Analysis and Control" at The Institute for Pure and Applied Mathematics on UCLA campus. See the following link for more information: https://www.ipam.ucla....

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October 2018 - Postdoctoral researcher Milan Korda leaves the Mezic Group for new position

Milan has been with the Mezic Group since September of 2016 pulishing seven papers as first author in that time! Milan is now a researcher at LAAS-CNRS in Toulouse France. We'll miss you Milan!

24 September 2018 - Congratulations Nithin on your successful PhD defense!

We are pleased to announce that Nithin Govindarajan has successfully defended his PhD Thesis "Periodic approximations and spectral analysis of the Koopman operator: theory and applications." 

21/22 August 2018 - Mezic Group Hosts ARO MURI Combustion Conference

UC Santa Barbara welcomed government project leaders and researchers from around the country for 2 days to discuss and present new findings. Key speakers included Igor Mezic (UCSB), Beverley McKeon (Cal Tech), Yannis Kevrekidis (Princeton), Themis Sapsis (MIT), Steven Brunton (U Washington), and Shai Revzen (U Michigan).

15 Jan 2018 - Congratulations to Hassan for successfully defending his PhD!

Hassan Arbabi successfully defended his PhD dissertation titled "Koopman spectral analysis and mixing in incompressible flows". His dissertation will be soon available through ProQuest and the UCSB digitial library (Alexandria).

20 May 2017 - Igor Mezic and his co-workers win a $6.25M DoD MURI award!

Igor Mezic is leading the team that won the 2017  MURI research award to initiate a project titled " From Data‐Driven Operator Theoretic Schemes to Prediction, Inference and Control of Systems". The award, which amounts to 6.25 million dollars will fund researchers across UCSB, Caltech, University of Washington, University of Michigan and MIT. Igor's research and his recent success including this award is featured by an article on the ME website titled...

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05 - 24 - 2017 Mezic research group presents its research at SIAM Conference on applied dynamical systems!

In the SIAM conference on applied dynamical systems, held at Snowbird, experts and researchers from all over the world presented their recent findings in the area of applied mathematics and nonlinear dynamics. The Mezi\'c research group from UCSB also had a strong presence by unveiling their most recent discoveries centered around Koopman-operator theoretic treatment of complex phenomena and data-driven modeling of the high-dimensional systems:

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