Project Grant 2246766

Award Date 7/15/23
Completion Date 6/30/26
Dollars Obligated $300K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Ithaca, NY 14853, USA
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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:

  1. Develop novel methodologies to characterize different types of orbits exhibited by Markov semigroups on Hilbert spaces, providing a comprehensive understanding of these structures.

  2. Utilize the classification schemes to identify analytical, ergodic, and mixing properties that can be transferred from reference semigroups to corresponding orbits, with a focus on Markov processes in Euclidean space and Weyl chambers, including an in-depth analysis of dynamical determinantal point processes.

  3. Design precise and exact algorithms for simulating the dynamics of these complex stochastic models.

This work aligns with the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific capabilities by advancing the mathematical and physical sciences.

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