Now showing items 1-6 of 6

    • A stochastic-Lagrangian particle system for the Navier-Stokes equations 

      Iyer, G; Mattingly, J (Nonlinearity, 2008-11-01)
      This paper is based on a formulation of the Navier-Stokes equations developed by Constantin and the first author (Commun. Pure Appl. Math. at press, arXiv:math.PR/0511067), where the velocity field of a viscous incompressible ...
    • Evaluating Partisan Gerrymandering in Wisconsin 

      Ravier, R; Mattingly, J; Herschlag, GJ (2017-09-07)
      We examine the extent of gerrymandering for the 2010 General Assembly district map of Wisconsin. We find that there is substantial variability in the election outcome depending on what maps are used. We also found robust ...
    • Local kinetic interpretation of entropy production through reversed diffusion. 

      Porporato, A; Kramer, PR; Cassiani, M; Daly, E; Mattingly, J (Phys Rev E Stat Nonlin Soft Matter Phys, 2011-10)
      The time reversal of stochastic diffusion processes is revisited with emphasis on the physical meaning of the time-reversed drift and the noise prescription in the case of multiplicative noise. The local kinematics and mechanics ...
    • Optimal Legislative County Clustering in North Carolina 

      Carter, D; Hunter, Z; Teague, D; Herschlag, G; Mattingly, J
      North Carolina's constitution requires that state legislative districts should not split counties. However, counties must be split to comply with the "one person, one vote" mandate of the U.S. Supreme Court. Given ...
    • Probabilistic Fréchet means for time varying persistence diagrams 

      Munch, E; Turner, K; Bendich, P; Mukherjee, S; Mattingly, J; Harer, J (Electronic Journal of Statistics, 2015-01-01)
      © 2015, Institute of Mathematical Statistics. All rights reserved.In order to use persistence diagrams as a true statistical tool, it would be very useful to have a good notion of mean and variance for a set of diagrams. ...
    • The strong Feller property for singular stochastic PDEs 

      Hairer, M; Mattingly, J (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, ...