April 21, 2023  – The Mezić Group is pleased to host James Richard Forbes from McGill University, Canada.

James Richard Forbes, from McGill University, Canada will give a Zoom seminar on April 21, 2023 at 9AM PST.

Title: Data-driven Koopman Operator Approximation

Abstract: Using the Koopman operator, nonlinear systems can be expressed as infinite-dimensional linear systems. Data-driven methods can then be used to approximate a finite-dimensional Koopman operator,...

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May 20 and June 10, 2022  – The Mezić Group is pleased to host Allan Avila from AIMdyn Inc.

Allan Avila from AIMdyn Inc., USA will give a Zoom seminar on May 20 and June 10, 2022 at 9AM PST.

Title: Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System

Abstract: The spectrum of the Koopman operator has been shown to encode many important statistical and geometric properties of a dynamical system. In this talk, we consider induced linear...

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April 8, 2022  – The Mezić Group is pleased to host Mario Sznaier from Northeastern University, USA

Mario Sznaier from Northeastern University, USA will give a Zoom seminar on Friday, April 8, 2022 at 9AM PST.

Title: A Convex Optimization Approach to Learning Koopman Operators from Data

Abstract: Koopman operators provide tractable means of learning linear approximations of  non-linear dynamics. Many approaches have been proposed to find these operators,  typically  ...

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March 10, 2022  – The Mezić Group is pleased to host Eduardo Mojica-Nava from Universidad Nacional de Colombia, Bogotá, Colombia

A recording of the talk is on our Youtube channel.

Eduardo Mojica-Nava from Universidad Nacional de Colombia, Bogotá, Colombia will give a Zoom seminar on Thursday, March 10, 2022 at 9AM PST.

Title: Koopman-based Learning in Continuous-time Optimization

Abstract: The operator-theoretic framework has emerged as...

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February 3, 2022  – The Mezić Group pleased to host Petar Bevanda from Technical University of Munich

A recording of the talk is on our Youtube channel.

Petar Bevanda from Technical University of Munich, Germany will give a Zoom seminar on Thursday, February 3, 2022 at 9AM PST.

Title: KoopmanizingFlows: Diffeomorphically Learning Stable Koopman Operators

Abstract: Global...

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January 3, 2022 – Alan Cao graduates with Master's

Alan graduated from UCSB in 2018 with a B.S. in Electrical Engineering. He has officially finished his M.S. in Electrical and Computer Engineering from UCSB in Winter 2022. Congratulations Alan!

December 15, 2021  – The Mezić Group pleased to host Matt Colbrook from University of Cambridge

A recording of the talk is on our Youtube channel.

Matt Colbrook from University of Cambridge, United Kingdom is going to give a Zoom seminar on Wednesday, December 15, 2021 at 9AM PST. The zoom link is here.

Title: ResDMD: Rigorous data-driven computation of spectral properties of Koopman operators for dynamical...

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December 12 - 15, 2022 – Igor Mezić will be co-chairing the 2022 International Symposium on Nonlinear Theory and Its Applications (NOLTA2022)

The 2022 International Symposium on Nonlinear Theory and Its Applications - NOLTA2022, will be held at Conference Park 25/7, Opatija, Croatia, December 12th-15th, 2022. The objective of the symposium is to provide a forum for exchanges of the latest results related to...

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May 23 - 27, 2021 – SIAM 2021 Conference on Applications of Dynamical Systems (DS21)

Recordings of our talks are on our Youtube channel linked below.

In the Society for Industrial and Applied Mathematics (SIAM) conference on applied dynamical systems - DS21, held virtually due to COVID-19, experts and researchers...

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May 23, 2021 – Igor Mezić awarded J. D. Crawford Prize!

Igor Mezić receives the prestigious biennial J. D. Crawford Prize from the Society for Industrial and Applied Mathematics (SIAM) Activity Group on Dynamical Systems (SIAG/DS) for his innovative work on the use of the Koopman Operator in the analysis of dynamical systems. Igor's research and his recent success including this award is featured by an article on the ME website titled "Solving the Unsolvable".

Established in 2000, the ...

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March 12, 2021 – Postdoctoral researcher Ervin Kamenar joins the Mezić Group!

Ervin joins the Mezić research group as a Fulbright visiting scholar from the University of Rijeka (UNIRI), Faculty of Engineering, Croatia where he works in the Mechanical Engineering Department. Building upon the previous collaboration between UNIRI and UCSB research groups (developing Koopman-based control for nanometric positioning devices), Ervin will be working on the design, modeling, and control of a pneumatic soft robot arm by using Koopman operator methods.


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March 10 - 12, 2021 – ARO MURI Review

Mezić research group reports on the 3rd year of research on the ARO MURI project "From Data-Driven Operator Theoretic Schemes to Prediction, Inference, and Control of Systems" on March 10 - 12, via a teleconference. The participants include researchers from Caltech, MIT, University of Michigan, University of Washington, and UCSB, as well as researchers from the Army Research Laboratory that are interested in the progress and outcomes of the programs. The successful completion of the first three years of the project has led to the award of...

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December 3, 2020 – Congratulations to Allan for successfully defending his PhD!

We are pleased to announce that Allan Avila has successfully defended his PhD Thesis “Theory and Applications of Pull-back Operators in Dynamical Systems”. 

June 13, 2020 – Mathias Wanner graduates with Master's, joins as PhD

Mathias graduated from Villanova University in 2018 with a B.S. in Mechanical Engineering. He has officially finished his M.S. in Mechanical Engineering from UCSB in Summer 2020 and will be continuing for his Ph.D. Congratulations Mathias!

September 22, 2019 – Michael Banks joins as a PhD

Michael received his B.S. and M.S. in aerospace engineering from the University of Illinois at Urbana-Champaign. Welcome Michael!

February 13, 2019 – Visiting researcher Corbinian Schlosser heads back to Austria

Corbinian, originally from Germany, is a mathematics Master's 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 Master's thesis. We'll miss you Corbi!

February 11 - 15, 2019 – Igor Mezić and colleagues host a workshop at IPAM

Igor Mezić, 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 (IPAM) on the UCLA campus.

October 2018 – Postdoctoral researcher Milan Korda leaves the Mezić Group for new position

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

September 24, 2018 – Congratulations to Nithin for successfully defending his PhD!

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." 

August 21 - 22, 2018 – Mezić Group Hosts ARO MURI Combustion Conference

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

January 15, 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).

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

Igor Mezić 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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May 21 - 25, 2017 – SIAM Conference on Applications of Dynamical Systems (DS17)

In the Society for Industrial and Applied Mathematics (SIAM) conference on applied dynamical systems - DS17, 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 Mezić research group from UCSB had a strong presence by unveiling their most recent discoveries centered around Koopman-operator theoretic treatment of complex...

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March 31, 2017 – Igor Mezić 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 Mezić 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...

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September 15 - 16, 2016  – The Mezić Group pleased to host Professor Takashi Hikihara from University of Tokyo

Professor Takashi Hikihara from University of Tokyo visits the Mezić Group on Thursday, September 15 and Friday, September 16. Welcome Professor Hikihara!

August 31, 2016 – Accepted Manuscript "Programmable Potentials: Approximate N-body potentials from coarse-level logic"

Our manuscript "Programmable Potentials: Approximate N-body potentials via coarse-level logic", co-authored by Gunjan Thakur, Ryan Mohr, and Igor Mezić, has been accepted for publications by Scientific Reports.

June 30, 2016 – Oberwolfach Report released for Applied Koopmanism mini-workshop

Mathematisches Forschungsinstitut Oberwolfach has released the preliminary report for our mini-workshop "Applied Koopmanism", held at the institute on February 7 - 13. The workshop focused on the interplay of ergodic theory, operator theory, geometric dynamical systems and convex optimization methods in pure and applied contexts. It was organized by Igor Mezić , Mihai Putinar (UCSB, Mathematics), and... Read more
June 28, 2016 – Nithin Govindarajan named Researcher of the Month by the Center for Control, Dynamical-Systems and Computation

Nithn Govindarajan, a second-year graduate stuent in the Mezić Research Group has been named Researcher of the Month by the Center for Control, Dynamical System and Computation (CCDC). The CCDC awards this honor to prominent graduate students and post-doc researchers working in the area of control and dynamical system. Nithin's current research focuses on developing new numerical methods to compute the spectral objects associated with the... Read more
April 18, 2016 – Igor Mezić to give the AEM Seminar at University of Minnesota

Igor Mezić gives a presentation titled "Koopman Operator Theory in Fluid Mechanics" at the College of Science and Engineering at the University of Minnesota. For more information on the time and location click here.
December 1, 2015 – Igor Mezić elected Fellow of American Physical Society (APS)! In the 68th annual meeting of American Physical Society (APS) Division of Fluid Mechanics, held in Boston, MA, Igor Mezić was elected as an APS fellow for his contributions to the field of fluid mechanics. The citation for this honor reads: "For fundamental contributions to the theory of three-dimensional chaotic advection, measures and control of mixing, and development of a spectral operator theory approach to decomposition of complex fluid flows."
December 2, 2014 – The Mezić Group pleased to host Dr. Caulfield from University of Cambridge

We are pleased to have Dr Colm-cille P. Caulfield, from the University of Cambridge, visit the Mezić 's research group this Tuesday, December 2, 2014. Dr Colm-cille P. Caulfield is interested in fluid flows where density variations play a critical dynamical role. He strives to use a combination of mathematical modelling, numerical simulation and laboratory experimentation to understand and pokies online ... Read more
December 1, 2014 – We are pleased to announce the PhD dissertation defense for Michael Georgescu!

Date: Thursday, December 4, 2014 
Time: 9:00am 
Location: Materials Research Lab (MRL), Room 2048 

Title: Analysis of Systems in Buildings using Spectral Koopman Operator Methods 

Abstract:This work presents a viewpoint for analyzing data-based systems using an operator-theoretic approach based on the Koopman operator. In particular we focus on problems emerging from building systems analysis; a setting where systems are high-... Read more
May 28, 2014 – Hassan Arbabi recieves the 2014 Holbrook Fellowship from the Institute for Energy Efficiency

Hassan Arbabi, a doctoral student in the Mezić Group has been selected as a Holbrook Fellow for the academic year 2014-2015. Funded by Tara and George Holbrook, this competetive fellowship is offered by the Institue for Energy Efficiency (IEE) to a handfull of PhD students at UCSB in the early stage of their research. Students are nominated by the affilaites of IEE and nominations are considered based on the student records and the potential impact of their... Read more
May 21, 2014 – The Mezić Group pleased to host Kari Kuester from University of Tuebingen

Kari Kuester from University of Tuebingen, Germany is going to give a group seminar on Wednesday, May 21 on the subject of Koopman operator's spectral properties.

Abstract: The Koopman operator permits linearization of dynamical systems in a way that all important information of the original system is preserved. In particular, it is interesting to study the eigenvalues and eigenfunctions of the Koopman operator. The so called Jacobs-Glicksberg-de Leeuw-splitting... Read more
January 15, 2012 – PNAS publishes article about Deepwater Horizon plumes

Proceedings of National Academy of Sciences (PNAS) has published a paper which establishes that the shape of underwater plumes, released by Deepwater Horizon spill, resembles underwater clouds, not rivers, as it was previously thought. This finding reconciles seemingly incongruent measurements of bacterial activity, seen by other researchers.

Our group has contributed in the analysis of hydromechanics of the Gulf, where study of mesohyperbolic structures of fluid flows from... Read more