Project Grant 2453314
- This $256,573 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) will support research exploring algebraic aspects of chaotic dynamical systems with hyperbolic behavior at Texas A&M University from July 2022 through June 2025. Specifically, the award will fund investigations into the connections between hyperbolic dynamical systems and group theory, automata theory, and other branches of algebra. The research aims to clarify whether...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program seeks to advance the understanding of dynamical systems and the evolution from ordered to chaotic behavior. The $249,103 award to the Research Foundation of the City University of New York, effective July 1, 2024 through June 30, 2026, will support research aimed at developing new conceptual ideas, approaches, and theoretical frameworks to transcend the limitations of...
- This federal Project Grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program provides $300,000.00 in funding to the University of Chicago from July 15, 2025 to June 30, 2028. The project, titled "Stability, Typicality and Rigidity in Smooth Dynamics," will explore the mathematical rules governing the coexistence of order and chaos in dynamic systems, with potential implications for weather forecasting, data security, and other...
- This National Science Foundation Project Grant award of $424,370 provides funding over five years from June 2022 through May 2027 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research at the University of Maryland, College Park to advance fundamental knowledge of dynamical systems through the study of long-term behavior of parabolic systems, which display sub-exponential divergence of orbits in contrast to hyperbolic systems. The...
- This $160,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental and applied research on scaling limits and random dynamic enhancements of statistical mechanical systems. The research aims to study phenomena such as the random scaled dynamics of random walkers, the time scale of convergence to equilibrium in randomly evolving energy landscapes, and scaled counter trajectories in random-turn games. The...
- This $282,660 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research at The Ohio State University in the field of ergodic geometry. The project encompasses a research program on the long-term behavior of dynamical systems arising in geometry, particularly the geodesic flow which has important connections to the underlying space's geometry and topology. The principal investigator will pursue two main research...
- This $297,450 National Science Foundation project grant supports research into hyperbolic dynamical systems with singularities and coexistence of hyperbolic and non-hyperbolic behavior at the University of Houston from August 1, 2022 to July 31, 2025. The project aims to develop a better understanding of systems displaying hyperbolic behavior in the presence of singularities or coexisting hyperbolic and non-hyperbolic dynamics. Specific activities include studying the properties of such...
- This $199,758 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) will support collaborative research on higher-dimensional dynamical systems. The principal investigators will advance the understanding of holomorphic dynamics in several complex variables, with a focus on characterizing the structure and bifurcations of higher-dimensional systems, particularly those with...
- The National Science Foundation (NSF) awarded a $242,456 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to Fairfield University. This 3-year grant, effective September 1, 2024, will support the investigator's research on the properties of chaotic dynamical systems influenced by external forces or interconnected components. Key research projects will investigate statistical and thermodynamic properties of particle systems, study open systems with mass/energy...
- This federal Project Grant award of $338,937.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on the stability, rigidity, and dynamics of complex mathematical and physical systems. The principal investigator intends to investigate topics such as energy transfer in Hamiltonian systems, instability of equilibria, and KAM (Kolmogorov-Arnold-Moser) stability without transversality conditions. This research will provide...
This federal Project Grant award for $200,000.00, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports research on hyperbolic behavior and chaotic systems. The project aims to gain a better understanding of the set of all possible invariant measures for such systems, which is crucial for making valid predictions about their behavior. The research involves the use of probability theory and ergodic theory to study these dynamical systems. Additionally, the project includes the training of graduate students and the development of a graduate textbook on ergodic theory and hyperbolic dynamics. The award was made to the University of Houston System, a prominent Hispanic Serving Institution in Houston, Texas, which has a strong track record of conducting advanced research and providing technical solutions to federal agencies across various scientific and engineering domains.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/14/25 |