Project Grant 2554368
- The National Science Foundation Division of Mathematical Sciences awarded The Pennsylvania State University $225,001 on September 1, 2026, to investigate wave propagation in random media and noisy quantum systems under the Mathematical and Physical Sciences program (CFDA 47.049). The project develops new mathematical tools to understand how waves scatter and diffuse in complex, disordered environments—including applications to radio wave propagation in urban settings, electron scattering in...
- The National Science Foundation Division of Mathematical Sciences awarded The Pennsylvania State University a $224,283 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into topics in smooth ergodic theory including stochastic properties, thermodynamic formalism, and essential coexistence of hyperbolic and non-hyperbolic dynamical behavior from June 1, 2022 to May 31, 2025. Key areas of focus include developing...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Maryland, College Park $200,000 on August 15, 2026, as a project grant under the Mathematical and Physical Sciences program (CFDA 47.049) to research random and stochastic dynamical systems whose evolution laws change with time. The recipient will study the dynamics of systems with time-varying rules, focusing on random dynamical systems and the emergence of chaotic behavior through statistical...
- This three-year $200,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research into nonlinear dynamics and their applications to physical systems. The grantee, The Pennsylvania State University, will conduct three related research projects aiming to discover new phenomena of fundamental mathematical and physical relevance. The first project will study resonances in area-preserving cylinder maps, building on prior...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Maryland, College Park $300,000 on June 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on ergodic properties of smooth dynamical systems on manifolds and their chaotic behavior. The research examines the extent to which deterministic dynamical systems can resemble sequences of independent random events, using tools from ergodic theory, probability, and...
- Federal Grant Award Summary The Pennsylvania State University received a $300,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded August 15, 2025, with completion targeted for July 31, 2028. This collaborative research award, conducted in partnership with the Binational Science Foundation (BSF) and involving researchers based in the United States and Israel, supports fundamental...
- The National Science Foundation Division of Physics awarded The Pennsylvania State University $386,605 on August 1, 2026, under the Mathematical and Physical Sciences program to conduct theoretical and experimental research on quantum dynamics in ultracold quantum gas systems. The research explores thermalizing dynamics and mechanisms driving thermalization in confined systems, with specific focus on whether thermalization can occur under dynamics fully described by generalized hydrodynamics....
- The National Science Foundation Division of Mathematical Sciences awarded The Pennsylvania State University $300,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop a systematic framework for quantum-accelerated reinforcement learning in complex systems control. The project delivers research into integrating quantum computing with machine learning to accelerate training of artificial intelligence systems that govern power grids and advanced...
- Federal Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded $300,000 through the Mathematical and Physical Sciences program (CFDA 47.049) to The Pennsylvania State University for a three-year project grant (August 1, 2025 – July 31, 2028). The award supports fundamental research in partial differential equations (PDEs) with a focus on developing theoretical approaches to analyze large systems of interacting particles beyond the classical mean-field...
- 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...
The National Science Foundation Division of Mathematical Sciences awarded The Pennsylvania State University $200,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop a theoretical framework demonstrating how chaotic and statistical properties arise ubiquitously in random dynamical systems. The research addresses how physical and abstract systems exhibit chaotic behavior and how that behavior can be statistically quantified, with applications spanning geophysical modeling, machine learning, and artificial intelligence. The project focuses on understanding convergence to equilibrium in random dynamical systems and the statistical properties of equilibrium states, particularly how even minimal noise can guarantee strong stochastic properties such as the central limit theorem. The work emphasizes average expansion conditions that are broadly applicable across random dynamical systems, computer-verifiable in concrete examples, and capable of describing systems far from linear. Because chaotic behavior depends critically on Lyapunov exponents, the framework targets conditions under which these exponents exhibit strong stochastic properties. The project includes opportunities for student research and disseminates techniques through expository writing and talks. Performance occurs in State College, Pennsylvania. The period of performance runs through July 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/11/26 |