Asymptotic behavior of waves

On the Asymptotic Behavior of Ascending Waves

Ramsey theory has been described in many ways. Weisteinn [1] defines Ramsey theory broadly as “the study of combinatorial objects in which a certain degree of order must occur as the scale of the object becomes large.” It is the diversity of results considered to be those of Ramsey theory that requires this and any all-encompassing definition to be so vague. For this reason, Landman and Roberts...

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Asymptotic behavior of ACMA

The algebraic constant modulus algorithm (ACMA) is a noniterative blind source separation algorithm. It computes jointly beamforming vectors for all constant modulus sources as the solution of a joint diagonalization problem. In this paper we analyze its asymptotic properties and show that (unlike the iterative CMA) it converges to the Wiener solution in samples or SNR. We also sketch its conne...

A Note on the Asymptotic Behavior of 2d Gravity Water Waves

In this note we explain how to derive an asymptotic formula for solutions of the 2d gravity water waves system expressed in Eulerian coordinates, using some of the bounds obtained by the authors in [IPu13]. The main ingredients of the proof are: 1) the uniform estimates for the Fourier transform of the profile of solutions obtained in [IPu13], 2) a refined linear estimate for the propagator exp...

Asymptotic dynamics of reflecting spiral waves.

Resonantly forced spiral waves in excitable media drift in straight-line paths, their rotation centers behaving as pointlike objects moving along trajectories with a constant velocity. Interaction with medium boundaries alters this velocity and may often result in a reflection of the drift trajectory. Such reflections have diverse characteristics and are known to be highly nonspecular in genera...