This Project Grant, awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research on the dynamics of weakly hyperbolic dynamical systems. The USD 184,985 award to Brigham Young University will investigate the statistical properties of these chaotic systems through three main research thrusts: 1) utilizing non-joint integrability to study the existence and finiteness of physical measures, 2) applying transversality conditions to understand absolute continuity of stationary measures for certain random products of surface diffeomorphisms, and 3) applying coding techniques to study measures of maximal entropy for non-invertible systems. The project also includes educational components such as mentoring graduate students and developing new seminars related to the research topics. The award period is from September 1, 2024 to August 31, 2027.
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