8 citations · 12 across the 9 of their papers we have counts for
9 papers
Diffusion and Mixing in Fluid Flow
P. Constantin, A. Kiselev, L. Ryzhik +1
We study enhancement of diffusive mixing on a compact Riemannian manifold by a fast incompressible flow. Our main result is a sharp description of the class of flows that make the…
Coefficients of Orthogonal Polynomials on the Unit Circle and Higher Order Szego Theorems
Leonid Golinskii, Andrej Zlatos
Let be a non-trivial probability measure on the unit circle $\partial\bbD$, the density of its absolutely continuous part, its Verblunsky coefficients, and its…
On Discrete Models of the Euler Equation
Alexander Kiselev, Andrej Zlatos
We consider two discrete models for the Euler equation describing incompressible fluid dynamics. These models are infinite coupled systems of ODEs for the functions which can…
Sharp Transition Between Extinction and Propagation of Reaction
Andrej Zlatos
We consider the reaction-diffusion equation \[ T_t = T_{xx} + f(T) \] on with and . In 1964 Kanel' proved that if is an ignit…
Higher-Order Szego Theorems With Two Singular Points
Barry Simon, Andrej Zlatos
We consider probability measures, $dμ=w(θ) \f{dθ}{2π} +dμ_\s$, on the unit circle, $\partial\bbD$, with Verblunsky coefficients, . We prove for i…
Sum Rules for Jacobi Matrices and Divergent Lieb-Thirring Sums
Andrej Zlatos
Extending earlier work of Killip-Simon and Simon-Zlatos, we obtain sum rules for Jacobi matrices in which the a.c. part of the spectral measure and the eigenvalues of the matrix ap…