We study the one parameter family of genus 2 Riemann surfaces defined by the orbit of the L-shaped translation surface tiled by three squares under the Teichmüller geodesic flow. These surfaces are real algebraic curves with three real components. We are interested in describing these surfaces by their period matrices. We show that the only Riemann surface in that family admitting a non-hyperel...

Analogs of almost periodic functions for the unit circle are introduced. Certain uniform algebras generated by such functions are studied, the corona theorems for them are proved, and their maximal ideal spaces are described. §1. Formulation of main results 1.1. The classical almost periodic functions on the real line, as first introduced by H. Bohr in the 1920s, play an important role in vario...

In this paper, we characterize unitary representations of π := π1(S \{s1, . . . , sl}) whose generators u1, . . . , ul (lying in conjugacy classes fixed initially) can be decomposed as products of two Lagrangian involutions uj = σjσj+1 with σl+1 = σ1 . Our main result is that such representations are exactly the elements of the fixed-point set of an anti-symplectic involution defined on the mod...

Let p be a real number greater than one and let G be a finitely generated, infinite group. In this paper we introduce the p-harmonic boundary of G. We then characterize the vanishing of the first reduced l-cohomology of G in terms of the cardinality of this boundary. Some properties of p-harmonic boundaries that are preserved under rough isometries are also given. We also study the relationship...

We investigate the algebraic Kand L-theory of the group ring RG, where G is a hyperbolic or virtually finitely generated abelian group and R is an associative ring with unit.

Approximations from the L 2 -closure S of the nite linear combinations of the shifts of a radial basis function are considered, and a thorough analysis of the least-squares approximation orders from such spaces is provided. The results apply to polyharmonic splines, multiquadrics, the Gaussian kernel and other functions, and include the derivation of spectral orders. For stationary re nements i...

This paper shows that any compactly generated lattice is a subdirect product of subdirectly irreducible lattices which are complete and upper continuous. An example of a compactly generated lattice which cannot be subdirectly decomposed into subdirectly irreducible compactly generated lattices is given. In the case of an ideal lattice of a lattice L, the decomposition into subdirectly irreducib...

Social media now plays a pivotal role in electoral campaigns. Rapid dissemination of information through platforms such as Twitter has enabled politicians to broadcast their message to a wide audience. In this paper, we investigated the sentiment of tweets by the two main presidential candidates, Hillary Clinton and Donald Trump, along with almost 2.9 million tweets by Twitter users during the ...

This paper presents an Optimality-theoretic (Prince and Smolensky 1993) analysis of quantity-insensitive stress. A set of grid-based constraints is shown by means of a computer-generated factorial typology to provide a relatively tight fit to the full range of stress systems attested in an extensive survey of quantity-insensitive stress patterns, many of which have not been previously discussed...

We investigated the automatic assessment of expressive children’s oral reading of grade level text passages using a standardized rubric. After a careful review of the reading literature and a close examination of the rubric, we designed a novel set of prosodic and lexical features to characterize fluent expressive reading. A number of complementary sources of information were used to design the...