This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), will fund fundamental research on mathematical models that describe complex interactions, growth, and motion in random, irregular environments. The $200,000 award, effective from July 1, 2025 to June 30, 2027, aims to discover general mathematical laws governing such stochastic systems, which have applications in diverse areas like traffic flow, communication...
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...
This Project Grant award, totaling $240,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports a research project at Stony Brook University that focuses on studying mixing times, cutoff, and limit profiles of Markov chains. The research aims to develop versatile techniques for bounding mixing times and establishing the occurrence of the cutoff phenomenon in Markov chains, which are...
This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $259,999, will support research into dynamical evolutions in complex, high-dimensional energy landscapes. Specifically, the awardee, Northwestern University, will investigate Markov chain dynamics arising from spin systems in statistical physics, which serve as prototypical examples for protein folding, evolutionary dynamics, out-of-equilibrium thermodynamics, and neural...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports fundamental mathematical research led by Northwestern University. The $299,998 award, effective July 1, 2025 through June 30, 2028, will fund the PI's efforts to develop and apply probabilistic methods to study the typical behavior and symmetries of deterministic mathematical objects with sophisticated structure. Key goals include addressing conjectures...
This $157,975 federal Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research by The Pennsylvania State University (Penn State) on transport of particles in heterogeneous media and speeding up Markov Chain Monte Carlo algorithms. The first part of the project aims to model the effects of long-range correlations on ocean flow mixing rates, which is relevant to fields like computer science, materials science, and...
This Project Grant award, with a total funding of $240,606.00, was provided by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The primary objectives of this 5-year award (July 1, 2025 to June 30, 2030) are to explore threshold phenomena in random discrete structures and advance asymptotic enumeration techniques on expander graphs. The research aims to gain deeper insights into phase...
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...
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 $600,000 Project Grant award from the National Science Foundation's (NSF) Computer and Information Science and Engineering (CISE) program (CFDA 47.070) supports research at North Carolina State University to explore advanced sampling and optimization techniques for decentralized machine learning. The key objectives are to: Enhance the sampling efficiency of interacting nonlinear Markov chains through adaptive spatio-temporal repellency among multiple "self-repellent random walks",...