Project Grant 2503778
- 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 (NSF) awarded a $299,834 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program to the University of Washington. This grant supports research exploring probabilistic and deterministic aspects of self-similar geometry, including topics such as conformally self-similar structures in complex dynamics and Schramm-Loewner evolution. The project aims to advance foundational knowledge in this area, with a focus on regularity...
- The National Science Foundation (NSF) awarded a $200,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Utah to support research on random motion in random environments, with a focus on models of random growth. The project aims to extend the use of Busemann functions to study stochastic Hamilton-Jacobi equations, including the Kardar-Parisi-Zhang equation, which is central to understanding stochastic growth processes. This research seeks...
- 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 federal Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on the implications of self-similar structure in dynamical networks. The $128,950 award made on August 15, 2024 will fund research projects that bridge analytical theories of fractals and differential equations on fractals with applications in network science. The research aims to develop new tools for the analysis, prediction, and...
- This $149,989 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research to develop statistical models and inference methods for analyzing random point processes. The research will provide tools for analyzing time series of point process data, with applications in fields such as national security, economics, neuroscience, and geosciences. Key activities include developing parameter estimation procedures,...
- 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...
- 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 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 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 Project Grant award of $100,000 from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on mathematical models for self-organized criticality. The project aims to establish that activated random walk serves as a suitable mathematical model for self-organized criticality, and to investigate its behavior. Specifically, the researchers will seek to prove the density conjecture for activated random walk in dimensions two and higher, study the mixing time of the driven-dissipative activated random walk, and establish similar results for the stochastic sandpile model. The award is being provided to the University of Washington from September 1, 2025 through August 31, 2026. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 8/8/25 |