The National Science Foundation Division of Mathematical Sciences awarded a $107,892 Project Grant to the University of Southern California Department of Contracts and Grants under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The two-year project aims to further understanding of the asymptotic behavior of large random systems at positive temperature through three interrelated research directions. Specifically, the university will conduct research to derive and...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $227,959 Project Grant to the University of Southern California (USC) for the period of August 1, 2023 to July 31, 2026. The grant supports five research projects under the NSF Mathematical and Physical Sciences (CFDA 47.049) program, which aims to strengthen the nation's scientific enterprise and increase understanding of major problems. The key efforts funded through this grant include: (A) extending the...
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 awarded a $152,899 Project Grant to Florida State University (FSU) under the Mathematical and Physical Sciences (CFDA 47.049) program. This grant supports research into stochastic analysis and numerical algorithms for stochastic dynamical systems, and their applications in machine learning and mathematical finance. Key focus areas include hypocoercivity and convergence analysis for degenerate and mean-field stochastic systems, and the study of non-Markovian...
The University of Southern California will receive $200,000 in funding from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct collaborative research on flexible network inference from July 1, 2021 to June 30, 2024. The goal of this three-year project grant award is to advance the scientific understanding of major problems in network analysis through flexible modeling approaches. As part of the work, the University will leverage its...
The National Science Foundation awarded a $356,558 project grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Connecticut for modeling, analysis, optimization, computation, and applications of stochastic systems from June 1, 2022 to May 31, 2027. The university will conduct research on the dynamic behavior of mathematical models incorporating random disturbances in areas such as ecological, biological, wireless communication, financial, networked, and...
The University of Southern California was awarded a $313,002 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into partial differential equations modeling fluid dynamics and fluid-structure interaction, with a focus on establishing existence, uniqueness, and asymptotic behavior of solutions. Key deliverables include studies of fluid models with...
This National Science Foundation Project Grant award of $231,879 provides funding from July 15, 2022 through June 30, 2025 to support research into the dynamics of stochastic networks. Under the Mathematical and Physical Sciences program (CFDA 47.049), the University of California, San Diego will analyze and develop methods for approximating, controlling, and interpreting complex stochastic network models. Key areas of focus include justifying and analyzing approximations like fluid and...
The National Science Foundation awarded a $466,463 Project Grant to the University of California Irvine under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research into non-stationary random dynamical systems and their applications from June 2023 through May 2026. Key areas of focus include proving that smooth random dynamical systems under an assumption of absence of invariant measures must lead to almost sure exponential growth of norms of random...
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...