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Dynamical Systems & Ergodic Theory

Dynamical Systems & Ergodic Theory is a branch of analysis that studies the statistical properties of the involvement over time for a point in an ambient space. This topic has applications in many areas both within mathematics and in the real world, including but not limited to combinatorics, number theory, physics, and differential equations.

The image shown on the right is a picture of the Lorenz attractor, which arises in the study of a dynamical system called the Lorenz oscillator.

Research Advisors in Dynamical Systems and Ergodic Theory

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    Wenbo Sun , bio

    Assistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.

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    Yun Yang , bio

    Assistant professor Yang conducts research in ergodic theory and dynamical systems.

Researchers in Dynamical Systems and Ergodic Theory

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    Bari Hridoy , bio

    Dr. Hridoy is a Postdoctoral Associate specializing in the mathematical modeling and analysis of infectious diseases, with a focus on stochastic dynamics, seasonality, and data-driven methods to inform public health interventions. He is mentored by Lauren Childs.

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    Leah LeJeune , bio

    Dr. LeJeune is a Postdoctoral Associate whose research focuses on modeling the spread and control of infectious diseases using mathematical models, particularly deterministic dynamical systems. She is mentored by Lauren Childs.

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    Priyanka Sinha , bio

    Dr. Sinha is a Postdoctoral Associate, working on large-scale inverse problems, multi-distribution learning, and adversarial methods, with recent projects on distributed tomographic reconstruction and fairness-driven federated learning. She is mentored by Eric de Sturler.

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    Samantha Brooker , bio

    Dr. Brooker is a Postdoctoral Associate studying operator algebras and noncommutative geometry. She is mentored by Sarah Reznikoff.