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To evaluate site quality and to develop multi-conjugative adaptive optics systems for future large solar telescopes, characterization of contributions to seeing from heights up to at least 12 km above the telescope is needed. We describe a…

Instrumentation and Methods for Astrophysics · Physics 2013-11-25 G. B. Scharmer , T. I. M. van Werkhoven

We use a new method to trace backwards the star formation history of the Milky Way disk, using a sample of M dwarfs in the solar neighbourhood which is representative for the entire solar circle. M stars are used because they show H_alpha…

Astrophysics · Physics 2009-11-13 B. Fuchs , H. Jahreiss , C. Flynn

Adolf Hurwitz is rather famous for his celebrated contributions to Riemann surfaces, modular forms, diophantine equations and approximation as well as to certain aspects of algebra. His early work on an important generalization of…

History and Overview · Mathematics 2015-06-03 Nicola M. R. Oswald , Jörn Steuding

The Wiener index $W(G)$ is the sum of distances of all pairs of vertices of the graph $G$. The Wiener polarity index $W_{p}(G)$ of a graph $G$ is the number of unordered pairs of vertices $u$ and $v$ of $G$ such that the distance…

Combinatorics · Mathematics 2016-03-22 Mohamed Amine Boutiche

We use the historic record of sunspot groups compiled by the Royal Greenwich Observatory together with the sunspot number to derive the statistical properties of sunspot group emergence in dependence of cycle phase and strength. In…

Solar and Stellar Astrophysics · Physics 2015-05-27 Jie Jiang , Robert H. Cameron , Dieter Schmitt , Manfred Schuessler

In 1960 Reifenberg proved the topological disc property. He showed that a subset of $R^n$ which is well approximated by $m$-dimensional affine spaces at each point and at each (small) scale is locally a bi-H\"older image of the unit ball in…

Differential Geometry · Mathematics 2007-05-23 G. David , T. DePauw , T. Toro

The great development of astrometric accuracy since the observations by the Greek astronomer Hipparchus about 150 BC has often been displayed in diagrams showing the accuracy versus time. Two new diagrams are provided here, one for…

Instrumentation and Methods for Astrophysics · Physics 2024-05-06 Erik Høg

We exhibit the limit shape of random Young diagrams having a distribution proportional to the exponential of their area, and confined in a rectangular box. The Ornstein-Uhlenbeck bridge arises from the fluctuations around the limit shape.

Probability · Mathematics 2010-12-15 Dan Beltoft , Cédric Boutillier , Nathanaël Enriquez

The global structure of solar corona observed in optical window is governed by the global magnetic field with different characteristics over solar activity cycle. Ludendorff flattening index becomes a popular measure of the global structure…

Solar and Stellar Astrophysics · Physics 2016-12-14 Rhorom Priyatikanto

Counter-examples to the famous conjecture of Caratheodory, as well as the bound on umbilic index proposed by Hamburger, are constructed with respect to Riemannian metrics that are arbitrarily close to the flat metric on Euclidean 3-space.…

Differential Geometry · Mathematics 2021-01-22 Brendan Guilfoyle

In late antiquity and throughout the middle ages, the positions of stars on the celestial sphere were obtained from the star catalogue of Ptolemaios. A catalogue based on new measurements appeared in 1437, with positions by Ulugh Beg, and…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Frank Verbunt , Robert H. van Gent

In arXiv:1711.05958, arXiv:2103.12673, the authors derive one-dimensional Landau-Ginzburg mirrors of Dubrovin-Zhang Frobenius manifolds constructed on regular orbit spaces of an extension of affine Weyl groups. We generalise the method…

Mathematical Physics · Physics 2026-05-22 Alessandro Proserpio , Karoline van Gemst

Four hundred years after its publication, Galileo's masterpiece Sidereus Nuncius is still a mine of useful information for historians of science and astronomy. In his short book Galileo reports a large amount of data that, despite its age,…

History and Philosophy of Physics · Physics 2012-06-20 Enrico Bernieri

The meridian line traced by Egnazio Danti in the Torre dei Venti in Vatican demostrated the need of the Gregorian Reformation of the Calendar. A review on this instrument is presented, along with the astrometric recognition. This meridian…

History and Philosophy of Physics · Physics 2014-01-16 Costantino Sigismondi

P. Buser and P. Sarnak showed in 1994 that the maximum, over the moduli space of Riemann surfaces of genus s, of the least conformal length of a nonseparating loop, is logarithmic in s. We present an application of (polynomially) dense…

Differential Geometry · Mathematics 2007-05-23 Mikhail G. Katz

We present the discovery and initial physical and dynamical characterization of the object 2003 UB313. The object is sufficiently bright that for all reasonable values of the albedo it is certain to be larger than Pluto. Pre-discovery…

Astrophysics · Physics 2009-11-13 M. E. Brown , C. A. Trujillo , D. L. Rabinowitz

We study Toeplitz operator theory on the doubling Fock spaces, which are Fock spaces whose exponential weight is associated to a subharmonic function with doubling Riesz measure. Namely, we characterize the boundedness, compactness and…

Complex Variables · Mathematics 2015-08-13 Roc Oliver , Daniel Pascuas

We study the problem of placing effective upper bounds for the number of zeros of solutions of Fuchsian systems on the Riemann sphere. The principal result is an explicit (non-uniform) upper bound, polynomially growing on the frontier of…

Dynamical Systems · Mathematics 2010-03-15 Gal Binyamini , Sergei Yakovenko

We begin with a basic exploration of the (point-set topological) notion of Hausdorff closed limits in the spacetime setting. Specifically, we show that this notion of limit is well suited to sequences of achronal sets, and use this to…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Gregory J. Galloway , Carlos Vega

Cepheid masses continue to be important tests of evolutionary tracks for intermediate mass stars as well as important predictors of their future fate. For systems where the secondary is a B star, {\it Hubble Space Telescope} ultraviolet…