Browsing by Author "0297691"

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  • Weinan, E; Mattingly, Jonathan Christopher (2001-11-01)
    We study Galerkin truncations of the two-dimensional Navier-Stokes equation under degenerate, large-scale, stochastic forcing. We identify the minimal set of modes that has to be forced in order for the system to be ergodic. ...
  • Bangia, Sachet; Graves, CV; Herschlag, G; Kang, HS; Luo, J; Mattingly, Jonathan Christopher; Ravier, Robert (2017-04-12)
    We develop methods to evaluate whether a political districting accurately represents the will of the people. To explore and showcase our ideas, we concentrate on the congressional districts for the U.S. House of representatives ...
  • Luo, S; Mattingly, Jonathan Christopher (2015)
    The dynamics of a population undergoing selection is a central topic in evolutionary biology. This question is particularly intriguing in the case where selective forces act in opposing directions at two population scales. ...
  • Hairer, M; Mattingly, Jonathan Christopher (2016)
    We show that the Markov semigroups generated by a large class of singular stochastic PDEs satisfy the strong Feller property. These include for example the KPZ equation and the dynamical $\Phi^4_3$ model. As a corollary, ...
  • Tempkin, JOB; Koten, BV; Mattingly, Jonathan Christopher; Dinner, AR; Weare, J (2016)
    We present a general mathematical framework for trajectory stratification for simulating rare events. Trajectory stratification involves decomposing trajectories of the underlying process into fragments limited to restricted ...