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

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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3/31/2017- Igor Mezic elected SIAM fellow!

This week, the Society for Industrial and Applied Mathematics (SIAM) announced the class of 2017 SIAM fellows. This fellowship "honors SIAM members who are recognized by their peers as distinguished for their contributions to the discipline". Igor Mezic was elected among ~30 other applied mathematicians for his sustained innovation at the dynamical systems theory/applications interface; notably for advances in the use of Koopman operator theory...

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