Trustees of Boston University was awarded a three-year $300,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on dynamic bifurcation of patterns through spatio-temporal heterogeneity. The university will investigate how naturally occurring and man-made spatial patterns interact with heterogeneities in time and space using mathematical models from physics and other scientific domains. Researchers will...
This $294,777 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports theoretical and computational research and education into quantum mechanical systems of interacting particles far from equilibrium. The primary research focuses on two main themes: 1) understanding and characterizing chaos in interacting many-particle systems, and 2) developing formalism for describing systems with both quantum and classical degrees...
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;...
This $176,168 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into interacting particle systems and their applications to modeling physical phenomena. The project aims to study the universality of one-dimensional random growing interfaces, which can model diverse processes like the spread of fire and growth of bacterial colonies. The research will focus on computing exact solutions and analyzing the...
This three-year National Science Foundation Project Grant of $429,761 will support research into developing theoretical tools for analyzing the dynamics of partial differential equations in higher spatial dimensions. Specifically, the grant to Boston University will fund work on investigating topological implications for stability in higher-order PDE systems and analyzing PDE solutions with more than one spatial variable. This includes developing a useful spatial dynamics approach to treat a...
This $100,011 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on stochastic growth models and mathematical structures called line ensembles, which have applications in fields ranging from magnetization to protein synthesis. The research aims to expand knowledge of line ensembles and related techniques, leading to solutions for previously intractable problems. The award includes organizing conferences...
This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $659,740 to the University of North Carolina at Chapel Hill to support research centered around stochastic dynamical systems describing interacting particle behavior. The research aims to characterize typical behavior, fluctuation probabilities, and large deviations for such systems as the number of particles...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) will fund research at Carnegie Mellon University (CMU) on mean-field and singular limits of deterministic and stochastic interacting particle systems. The $187,382 award, with a performance period from July 1, 2023 to May 31, 2025, aims to achieve a substantial reduction in computational complexity for modeling the behavior of large numbers of interacting particles,...
The Trustees of Boston University were awarded a $727,916 Project Grant from the National Science Foundation under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support ULTRAFAST 2DIR STUDIES OF DYNAMICS IN DENSE GAS AND SUPERCRITICAL FLUID SOLUTIONS from August 1, 2021 through July 31, 2024. The funding will enable Trustees of Boston University to conduct research using ultrafast two-dimensional infrared spectroscopy to study molecular dynamics in...
This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant award to Brown University, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $180,000 in funding from August 15, 2023 to July 31, 2026. The award supports fundamental research on random functions and stochastic processes on random graphs, including the analysis of roots of polynomials with random coefficients. The project also focuses on studying the...