Project Grant 2450726
- This $110,000 Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The grant supports collaborative research on the theory of self-organized criticality, which seeks to explain the ubiquity of fractal patterns and power-law behavior in natural systems. The research aims to establish that activated random walk and the stochastic sandpile model are suitable mathematical models for this...
- 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...
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research to develop new tools for studying the geometry and dynamics of physical systems. Key research focus areas include: Investigating the existence and properties of periodic orbits in four-dimensional phase spaces with three-dimensional energy levels Studying the geometry of phase spaces to determine when dynamical systems are equivalent...
- This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
- 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 $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 of $350,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research to develop new mathematical frameworks and solution algorithms for large-scale stochastic models across a range of application areas. The project will investigate geometric principles and strategies for effectively incorporating randomness into model representations and algorithm design, with a focus on solving equilibrium problems in...
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $200,000.00 in funding to the University of Wisconsin - Madison to conduct fundamental research on mathematical models that describe complex interactions, growth, and motion in irregular environments with stochastic unpredictability. The research aims to discover general mathematical laws that govern such systems, which exhibit different...
- This $300,000 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on branching processes, partial differential equations, and their applications to knowledge diffusion and dynamics in heterogeneous and random environments. The research aims to advance theoretical and practical understanding of modeling systems influenced by randomness and heterogeneity, with applications spanning the physical...
- This National Science Foundation (NSF) Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) will provide $295,000 to the University of California, San Diego (UCSD) from August 1, 2024 to July 31, 2027. The grant will support research focused on developing a broad theoretical framework and general scaling limit theory for high-dimensional stochastic differential equations. The research aims to advance the understanding of how the behavior of systems described by...
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 project involves graduate student training and the development of basic tools from Ornstein-Zernike decay theory, subcritical connections, and discrete harmonic analysis. The award recipient is the University of California, Berkeley, which will disseminate research findings and collaborate with junior researchers, including graduate and undergraduate students, to enhance their mathematical experiences.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $160.0k | 8/14/25 |