Complex Variables

Authors and titles for math.CV in May 2008, skipping first 25

[26]  arXiv:0805.1717 (cross-list from math.NT) [pdf, ps, other]

Title: The Minkowski question mark function: explicit series for the dyadic period function and moments

Authors: Giedrius Alkauskas

Comments: 39 pages, 1 figure (submitted). Note that the images of curves I_p are absent (they are contained in previous versions.) v4: Proofs in Section 3 completed

Journal-ref: Mathematics of Computation, 79 (2010), 383-418.

Subjects: Number Theory (math.NT); Complex Variables (math.CV)

[27]  arXiv:0805.1729 (cross-list from math.NT) [pdf, ps, other]

Title: The ABC Theorem for Meromorphic Functions

Authors: Machiel van Frankenhuijsen

Comments: 7 pages

Subjects: Number Theory (math.NT); Complex Variables (math.CV)

[28]  arXiv:0805.2640 (cross-list from math-ph) [pdf, ps, other]

Title: Orthogonal Trigonometric Polynomials: Riemann-Hilbert Analysis and Relations with OPUC

Authors: Jinyuan Du, Zhihua Du

Comments: 38 pages

Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV)

[29]  arXiv:0805.2682 (cross-list from math.DS) [pdf, ps, other]

Title: Analytic multiplicative cocycles over holomorphic dynamical systems

Authors: Tien-Cuong Dinh

Comments: 11 pages

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[30]  arXiv:0805.2693 (cross-list from math.FA) [pdf, ps, other]

Title: Finite Rank Toeplitz Operators: Some Extensions of D.Luecking's Theorem

Authors: Alexey Alexandrov, Grigori Rozenblum

Comments: 15 pages

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)

[31]  arXiv:0805.2816 (cross-list from math.DG) [pdf, ps, other]

Title: Connexions affines et projectives sur les surfaces complexes compactes

Authors: Sorin Dumitrescu

Comments: 20 pages, french

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[32]  arXiv:0805.2872 (cross-list from math.AG) [pdf, other]

Title: Coamoebas of complex algebraic plane curves and the logarithmic Gauss map

Authors: Mounir Nisse

Comments: 11 pages, 2 figure

Subjects: Algebraic Geometry (math.AG); Mathematical Physics (math-ph); Complex Variables (math.CV); Geometric Topology (math.GT)

[33]  arXiv:0805.3095 (cross-list from math.DG) [pdf, other]

Title: Triply Periodic Minimal Surfaces Bounded by Vertical Symmetry Planes

Authors: Shoichi Fujimori, Matthias Weber

Comments: 30 pages, 56 figures

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[34]  arXiv:0805.3823 (cross-list from math-ph) [pdf, ps, other]

Title: Fractional Calculus: Integral and Differential Equations of Fractional Order

Authors: Rudolf Gorenflo, Francesco Mainardi

Comments: 56 pages, 7 figures/eps files

Journal-ref: A. Carpinteri and F. Mainardi (Editors): Fractals and Fractional Calculus in Continuum Mechanics, Springer Verlag, Wien and New York 1997, pp. 223-276.,

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Complex Variables (math.CV); History and Overview (math.HO)

[35]  arXiv:0805.3842 (cross-list from math.DS) [pdf, ps, other]

Title: Dynamics of meromorphic maps with small topological degree II: Energy and invariant measure

Authors: Jeffrey Diller, Romain Dujardin, Vincent Guedj

Comments: Minor modifications. Final version, to appear in Comment. Math. Helvet

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[36]  arXiv:0805.3987 (cross-list from math.AG) [pdf, ps, other]

Title: Low pole order frames on vertical jets of the universal hypersurface

Authors: Joel Merker

Comments: Major improvement yielding strong (instead of weak) Green-Griffiths algebraic degeneracy in 0811.2346

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[37]  arXiv:0805.4366 (cross-list from math.FA) [pdf, ps, other]

Title: Analytic approximation of matrix functions in $L^p$

Authors: L. Baratchart, F.L. Nazarov, V.V. Peller

Comments: 43 pages

Subjects: Functional Analysis (math.FA); Classical Analysis and ODEs (math.CA); Complex Variables (math.CV)

[38]  arXiv:0805.4370 (cross-list from math.FA) [pdf, ps, other]

Title: Differentiability of functions of contractions

Authors: V.V. Peller

Comments: 26 pages

Subjects: Functional Analysis (math.FA); Classical Analysis and ODEs (math.CA); Complex Variables (math.CV); Spectral Theory (math.SP)

[39]  arXiv:0805.4439 (cross-list from math.SP) [pdf, ps, other]

Title: Reflectionless Herglotz functions and generalized Lyapunov exponents

Authors: Alexei Poltoratski, Christian Remling

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Complex Variables (math.CV)

[40]  arXiv:0805.4448 (cross-list from math.CA) [pdf, ps, other]

Title: On some equivalent definitions of $ρ$- Carleson measures on the unit ball

Authors: Benoit F. Sehba

Comments: 23 pages

Subjects: Classical Analysis and ODEs (math.CA); Complex Variables (math.CV)

[41]  arXiv:0805.4506 (cross-list from math.DG) [pdf, ps, other]

Title: Meromorphic almost rigid geometric structures

Authors: Sorin Dumitrescu

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[42]  arXiv:0805.4737 (cross-list from math.DS) [pdf, ps, other]

Title: Affine interval exchange maps with a wandering interval

Authors: Stefano Marmi, Pierre Moussa, Jean-Christophe Yoccoz

Comments: 43 pages, 1 figure

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV); Number Theory (math.NT)

[43]  arXiv:0805.1194 (cross-list from hep-th) [pdf, ps, other]

Title: Intersecting Solitons, Amoeba and Tropical Geometry

Authors: Toshiaki Fujimori, Muneto Nitta, Kazutoshi Ohta, Norisuke Sakai, Masahito Yamazaki

Comments: 39 pages, 11 figures

Journal-ref: Phys.Rev.D78:105004,2008

Subjects: High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Complex Variables (math.CV)