Project Grant 2503779
- 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...
- 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 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 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 $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 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 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on the connections between fractals and Fourier transforms. The $150,000 award to the San Jose State University Research Foundation will fund a 3-year research project to investigate topics such as the construction of fractal Salem sets, calculation of fractal Fourier dimensions, and the optimality of Fourier restriction on fractals....
- 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 $240,606 federal Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to New York University (NYU) supports research on threshold phenomena for random discrete structures and asymptotic enumeration problems. The primary objectives are to prove the "Second Kahn-Kalai Conjecture" and a conjecture by Talagrand, by leveraging and improving techniques such as entropy methods, container methods, cluster expansion, and...
- This federal Project Grant award in the amount of $300,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) advances the understanding of nonlinear dispersive partial differential equations (PDEs), which serve as mathematical models for wave phenomena in diverse scientific domains. The research focuses on exploring fundamental questions related to the formation, stability, and interaction of coherent structures like solitons, vortices,...
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 phenomenon, and to investigate their behaviors. Key goals include proving the density conjecture for activated random walk, studying the mixing time of driven-dissipative activated random walk, and establishing similar results for the stochastic sandpile model. The award supports graduate and undergraduate student involvement in the research.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $110.0k | 8/8/25 |