A new class of rank one transformations with singular spectrum * Abstract. We introduce a new tool to study the spectral type of rank one transformations using the method of central limit theorem for trigonometric sums. We get some new applications. 1. Introduction The purpose of this paper is to bring a new tool in the study of the spectral type of rank one transformations. Rank one transforma...

The record of human brain neural activities, namely electroencephalogram (EEG), is generally known as a non-stationary and nonlinear signal. In many applications, it is useful to divide the EEGs into segments within which the signals can be considered stationary. Combination of empirical mode decomposition (EMD) and Hilbert transform, called Hilbert-Huang transform (HHT), is a new and powerful ...

implantation of intraocular lens with iris-fixation is a safe, efficient and predictable surgical procedure, which empowers the refractive surgeon with singular capabilities. among their advantages are the reversibility, preservation of accommodation and a broad spectrum of ametropic correction. this lens also appears to be a valid option, with a favorable complication rate, for the treatment o...

We prove that for a dense G± of shift-invariant measures on AZ d , all d shifts have purely singular continuous spectrum and give a new proof that in the weak topology of measure preserving Zd transformations, a dense G± is generated by transformations with purely singular continuous spectrum. We also give new examples of smooth unitary cocycles over an irrational rotation which have purely sin...

We present here a series of sediment mass accumulation rate (MAR) for the Santa Barbara Basin, California. The 1117-1992 series was computed from varve thickness and water content to account for the compaction trend. Singular Spectrum Analysis (SSA) was employed to investigate multi-annual oscillations, as was previously done on varve thickness alone (Biondi et al. 1997). Singular spectrum anal...

In this paper, we use topological methods to study various semicontinuity properties of the local spectrum of singular points of algebraic plane curves and spectrum at infinity of polynomial maps in two variables. Using the Seifert form, the Tristram–Levine signatures of links, and the associated Murasugi-type inequalities, we reprove (in a slightly weaker form) a result obtained by Steenbrink ...