6 papers
Detecting chaos in hurricane intensity
Chanh Kieu, Weiran Cai, Wai-Tong +1
Determining the maximum potential limit in the accuracy of hurricane intensity prediction is important for operational practice. Using the phase-space reconstruction method for hur…
Three-dimensional shear driven turbulence with noise at the boundary
Wai-Tong Louis Fan, Michael Jolly, Ali Pakzad
We consider the incompressible 3D Navier-Stokes equations subject to a shear induced by noisy movement of part of the boundary. The effect of the noise is quantified by upper bound…
Impossibility of consistent distance estimation from sequence lengths under the TKF91 model
Wai-Tong Louis Fan, Brandon Legried, Sebastien Roch
We consider the problem of distance estimation under the TKF91 model of sequence evolution by insertions, deletions and substitutions on a phylogeny. In an asymptotic regime where…
Correlation function methods for a system of annihilating Brownian particles
Wai-Tong Louis Fan
In this expository note we highlight the correlation function method as a unified approach in proving both hydrodynamic limits and fluctuation limits for reaction diffusion particl…
Wave propagation for reaction-diffusion equations on infinite random trees
Wai-Tong Louis Fan, Wenqing Hu, Grigory Terlov
The asymptotic wave speed for FKPP type reaction-diffusion equations on a class of infinite random metric trees are considered. We show that a travelling wavefront emerges, provide…
Joint distribution of Busemann functions in the exactly solvable corner growth model
Wai-Tong Louis Fan, Timo Seppäläinen
The 1+1 dimensional corner growth model with exponential weights is a centrally important exactly solvable model in the Kardar-Parisi-Zhang class of statistical mechanical models.…