Project Grant 2453688
- The National Science Foundation (NSF) awarded a $275,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to The Johns Hopkins University. The grant supports collaborative research on "Geometric Properties of Stationary Measures for Smooth Iterated Function Systems" in the field of dynamical systems. The research aims to study the regularity and dimension of stationary measures arising from nonlinear actions, such as self-conformal...
- The National Science Foundation Division of Mathematical Sciences awarded The Pennsylvania State University a $224,283 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into topics in smooth ergodic theory including stochastic properties, thermodynamic formalism, and essential coexistence of hyperbolic and non-hyperbolic dynamical behavior from June 1, 2022 to May 31, 2025. Key areas of focus include developing...
- This National Science Foundation Project Grant award of $424,370 provides funding over five years from June 2022 through May 2027 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research at the University of Maryland, College Park to advance fundamental knowledge of dynamical systems through the study of long-term behavior of parabolic systems, which display sub-exponential divergence of orbits in contrast to hyperbolic systems. The...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program seeks to advance the understanding of dynamical systems and the evolution from ordered to chaotic behavior. The $249,103 award to the Research Foundation of the City University of New York, effective July 1, 2024 through June 30, 2026, will support research aimed at developing new conceptual ideas, approaches, and theoretical frameworks to transcend the limitations of...
- This National Science Foundation (NSF) Project Grant, awarded under the Mathematical and Physical Sciences program (CFDA 47.049), provides $25,000.00 to The Pennsylvania State University to conduct collaborative research on developing new statistical methods for analyzing high-dimensional, nonstationary time series data. The research aims to construct robust estimators of autocovariance structures that can accurately handle outliers and large deviations, as well as develop efficient procedures...
- This three-year $200,000 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research into nonlinear dynamics and their applications to physical systems. The grantee, The Pennsylvania State University, will conduct three related research projects aiming to discover new phenomena of fundamental mathematical and physical relevance. The first project will study resonances in area-preserving cylinder maps, building on prior...
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $300,000.00 in funding to Temple University to support research exploring new ways of understanding low-dimensional dynamical systems inspired by classical approaches. The key focus areas include: Classifying pseudo-Anosov flows transverse to taut foliations, by understanding the associated universal circles and building on recent advances....
- This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences supports research on the theory of dynamical systems and conformal dynamical systems. The award, totaling $262,205 over 3 years starting on August 1, 2024, will fund work to address longstanding conjectures and open new research directions in this field. The project will leverage tools from complex analysis, hyperbolic geometry, and arithmetic geometry to study moduli spaces of one-dimensional...
- This federal Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, will support research at New York University (NYU) to advance the theory of dynamical systems and investigate its applications in fields such as engineering and the biological sciences. The $375,506 award, effective from July 1, 2024 to June 30, 2029, will fund four primary research projects: Extending finite-dimensional dynamical systems...
- This National Science Foundation (NSF) award under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) provides $300,000.00 to support a research project on topology and dynamics on metric spaces. The primary objectives are to develop new notions of how chaotic systems expand and stretch in different directions, and to quantify the "butterfly effect" where small changes in initial conditions lead to dramatically different future outcomes. The project will advance...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program provides $300,000.00 in funding to The Pennsylvania State University to conduct collaborative research on the geometric properties of stationary measures for smooth iterated function systems in the field of dynamical systems. The research aims to study the regularity and dimension of these stationary measures, particularly when the underlying maps are real-analytic and satisfy appropriate separation properties. The project will leverage methods from hyperbolic dynamics, harmonic analysis, homogeneous dynamics, spectral theory of transfer operators, and additive combinatorics to understand when such measures are absolutely continuous and how their Fourier transforms decay. The research will involve collaboration between U.S. and Israeli researchers and will provide training for graduate students and postdoctoral fellows. The award period runs from Aug 15, 2025 to Jul 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 8/15/25 |