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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Ionut-Gabriel Farcas , bioProfessor Farcaș's research bridges scientific computing, high-performance computing, and computational physics. His work focuses on scientific machine learning, reduced and surrogate modeling, uncertainty quantification, and sparse grid and multi-fidelity methods. These computational techniques are designed to tackle complex, large-scale numerical simulations, such as those arising in turbulent transport in fusion devices or combustion processes in rocket engines.
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Wenbo Sun , bioAssistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.
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Yun Yang , bioAssistant professor Yang conducts research in ergodic theory and dynamical systems.
Researchers in Dynamical Systems and Ergodic Theory
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Bari Hridoy , bioDr. 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.
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Leah LeJeune , bioDr. LeJeune's research focuses on modeling the spread and control of infectious disease through analysis of mathematical models, particularly deterministic dynamical systems.
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Priyanka Sinha , bioPriyanka Sinha is a Departmental Postdoctoral Fellow in Mathematics at Virginia Tech, 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 obtained her PhD from North Carolina State University in November 2022.
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Samantha Brooker , bioI am a Postdoctoral Associate studying operator algebras and noncommutative geometry.
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