Project Grant 2348756
- 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 $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into new theoretical approaches for understanding large systems of interacting particles, known as many-particle or many-body systems. The research aims to develop more accurate representations of these complex systems, which arise in diverse applications such as biosciences, physics, and fluid mechanics. The principal investigator will focus...
- This federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $219,999.00 to the University of North Carolina at Chapel Hill to investigate the behavior of large systems of interacting particles over time and space. The research aims to develop new mathematical tools to study the convergence toward stable configurations and atypical behaviors of such systems, which have applications in areas like cloud computing,...
- This $350,000 federal Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The goal of the research is to develop accurate mathematical models and computer simulations for studying non-equilibrium systems with memory effects, such as those found in biosystems, plasma evolution, and solid-state nanostructures. The Principal Investigator will focus on analytical and numerical approaches to statistical transport...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $200,000 in funding for a project focused on the behavior of disordered systems in statistical physics. The research aims to understand the effects of inhomogeneity on the behavior of physical systems, particularly the study of membranes in random environments and their fluctuations. The award will fund rigorous mathematical analysis of minimal surfaces in...
- 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...
- This $198,463 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research and educational initiatives conducted by Rutgers, The State University. The project aims to develop new tools and refine existing techniques to analyze the effects of interactions in three types of particle systems: interacting Bose gases, classical hard-core particle models, and interacting lattice Fermi gases. The research...
- This $249,358 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research by Amherst College on non-local microscopic and macroscopic traffic flow models. The investigator will construct and analyze multi-scale non-local mathematical models to more accurately capture driver behavior by integrating downstream information, compared to traditional local traffic flow models. The project aims to perform mathematical...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to Michigan State University provides $176,168 to support research into interacting particle systems and random growing interfaces. The project aims to study the universality and scaling limits of mathematical models that can describe phenomena like the spread of fire, growth of bacterial colonies, and behavior of liquid crystals. The research involves developing new mathematical...
- This $180,000 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) will investigate open problems at the intersection of probability theory and physics, with the goal of developing new techniques for studying the Anderson transition - a concept in condensed matter physics describing a sharp change in material properties from conducting to insulating behavior. The project aims to establish a rigorous mathematical...
This $202,091 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on interacting particle systems and related models in statistical mechanics. The primary awardee, Barnard College, will conduct studies focused on three main directions: the analysis of log-gases, investigations of the Kardar-Parisi-Zhang equation, and the examination of traffic models. The research aims to achieve a better understanding of the macroscopic behavior of these "integrable" or "exactly solvable" systems and their conjectured universality classes. This work will leverage the algebraic structure and probabilistic nature of these lattice models to provide new insights into phenomena like crystal melting, neuronal activity, fire propagation, cancer growth, and plankton colony dynamics. The award period runs from November 1, 2023 to June 30, 2025.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $202.1k | 11/8/23 |