The National Science Foundation Division of Mathematical Sciences awarded $249,814 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Research Foundation of the City University of New York to analyze random structures and stochastic dynamics arising across scientific disciplines. The three-year project grant will support theoretical and empirical analysis of spatial and non-spatial random graph models, stochastic processes on graphs, and network-based...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $200,000 to conduct fundamental research on mathematical models that describe complex interactions, growth, and motion in irregular environments with stochastic unpredictability. The goal is to discover general mathematical laws that govern such systems, which have implications for a wide range of real-world phenomena including traffic, communication networks,...
This $198,173 Project Grant was awarded on August 1, 2024 by the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) to the University of Rhode Island. The award supports collaborative research to explore the properties, behaviors, and applications of stochastic functional differential equations and functional stochastic approximation algorithms across disciplines including ecology, infectious disease modeling, control engineering, neural networks, and...
This $240,606 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research at the intersection of combinatorics, probability, and other fields. The project, led by researchers at New York University, explores threshold phenomena in random discrete structures and asymptotic enumeration problems on expander graphs. Key objectives include proving the "Second...
This Project Grant award of $239,999 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports research at Brown University to study probability flows and stochastic processes, with applications ranging from materials science to artificial intelligence. The project will develop novel frameworks for multi-marginal optimal transport problems and investigate the structure of probability flows to enhance understanding of complex probability distributions....
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...
The National Science Foundation (NSF) awarded a $239,338 Project Grant to North Carolina State University (NC State) under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant will fund research on the structure and statistics of disordered systems, with applications ranging from social networks to cellular-level immune and neuron networks. The key objectives are to infer large-scale structure from system statistics and identify the relationship between these statistics and...
This $293,784 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental and applied research on fluctuating systems, random environments, and stochastic algorithms. The research aims to improve understanding and exploitation of randomness across diverse settings, including materials science, fluid dynamics, and machine learning. Key areas of focus include stochastic homogenization, stochastic partial...
The National Science Foundation (NSF) awarded a $270,000 Project Grant to Carnegie Mellon University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The 3-year grant, effective August 1, 2024, will support research to study the properties of random graphs and networks, including computational problems and algorithms associated with such complex structures. The principal investigator will examine topics such as matchings, Hamilton cycles, and spanning trees in...
Brown University received a three-year $365,000 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 fund research into rare events and fluctuations in high-dimensional stochastic systems. Brown University researchers will study three classes of stochastic systems: large collections of interacting diffusions; high-dimensional measures such as random matrix ensembles;...