Project Grant 2152577
- This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $169,408, starting on June 1, 2024 and ending on August 31, 2026, supports research at the University of North Carolina at Chapel Hill (UNC-CH) on nonlinear stochastic partial differential equations and their applications. The project aims to develop a mathematical understanding of these equations, which arise in complex dynamic phenomena like global economic shifts and turbulent...
- Federal Project Grant Award Summary The University of North Carolina at Chapel Hill received a $219,999 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049 – Mathematical and Physical Sciences) effective August 15, 2025, through July 31, 2028. This award supports fundamental research investigating the long-term behavior and scaling limits of interacting particle systems using advanced mathematical tools including hydrodynamic limits, fluctuation...
- This $300,000 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical and computational research on complex stochastic systems with infinite degrees of freedom. The project aims to develop new theoretical frameworks and analytical techniques for studying the asymptotic behavior of stochastic partial differential equations (SPDEs) with multiple scales and conservation laws. The...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research at Carnegie Mellon University (CMU) on mean-field and singular limits of deterministic and stochastic interacting particle systems. The $187,382 award, with a performance period from July 1, 2023 to May 31, 2025, aims to achieve a substantial reduction in computational complexity for modeling the behavior of large numbers of interacting particles,...
- This federal Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, will support research at New York University (NYU) to advance the theory of dynamical systems and investigate its applications in fields such as engineering and the biological sciences. The $375,506 award, effective from July 1, 2024 to June 30, 2029, will fund four primary research projects: Extending finite-dimensional dynamical systems...
- The National Science Foundation awarded a $640,000 Project Grant to the University of Southern California under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support research on dynamical approaches for complex stochastic systems from July 2022 to June 2025. The principal investigators will undertake multiple research projects with a focus on dynamic optimization and game problems involving complex stochastic systems. This includes new methodologies for general...
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $193,202 to Columbia University from August 15, 2022 through July 31, 2025. The funding will support research investigating long-time behavior and large population limits of stochastic processes with random times. Specifically, the university will develop mathematical and computational tools to analyze complex interacting systems, with a focus on stochastic models involving...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $199,961 Project Grant to the University of Maryland, College Park to support research on the long-term influence of small perturbations on various systems. This research, conducted under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), will investigate metastable behavior and transitions between near-equilibrium states in fields such as molecular dynamics, genetic mutations, and economic models....
- 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 (NSF) Division of Mathematical Sciences has awarded a $300,000 Project Grant to Cornell University to support research on stochastic models and their properties. The key objectives of this 3-year grant, which runs from July 15, 2023 to June 30, 2026, are to: Develop novel methodologies to characterize different types of orbits exhibited by Markov semigroups on Hilbert spaces, providing a comprehensive understanding of these structures. Utilize the classification...
This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $659,740 to the University of North Carolina at Chapel Hill to support research centered around stochastic dynamical systems describing interacting particle behavior. The research aims to characterize typical behavior, fluctuation probabilities, and large deviations for such systems as the number of particles becomes large and the systems operate over long periods. Insights will further an understanding of how deterministic model predictions diverge from actual noisy systems, to provide guidance for operating procedures incorporating associated uncertainties. The work will also study hydrodynamical limits, diffusion approximations, and ergodicity under scaling of space, volume and time. This foundational research stands to advance knowledge of particle system properties over spatial and temporal scales, with training also provided for graduate students.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $329.9k | 6/28/22 |