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Basics of standard theory of microlensing are introduced. Results of microlensing observations toward Magellanic Clouds and relations with dark matter (DM) problem in our Galaxy are described. Pixel microlensing observations and recent…

Astrophysics · Physics 2007-05-23 Alexander F. Zakharov

In this brief note the operatorial methods are applied to the study of the Airy function and its generalizations.

Mathematical Physics · Physics 2010-08-10 D. Babusci , G. Dattoli , D. Sacchetti

In this paper we survey results and recent progresses on the equivariant bordism classification of 2-torus manifolds and unitary toric manifolds.

Algebraic Topology · Mathematics 2019-09-10 Zhi Lü

Heterodyne holography is a variant of phase shifting holography in which reference and signal arms are controlled by acousto optic modulators. In this review paper, we will briefy describe the method and its properties, and we will…

Optics · Physics 2015-11-16 Michel Gross

The microlensing technique has found 10 exoplanets to date and promises to discover more in the near future. While planetary transit light curves all show a familiar shape, planetary perturbations to microlensing light curves can manifest a…

Earth and Planetary Astrophysics · Physics 2015-05-20 Leslie A. Rogers , Paul L. Schechter

A visualisation tool is presented to facilitate the study on large-scale communications networks. This tool provides a simple and effective way to summarise the topology of a complex network at a coarse level.

Networking and Internet Architecture · Computer Science 2009-09-29 Yuchun Guo , Changjia Chen , Shi Zhou

This article is a short introduction to Combinatorial Dynamics for topologists.

General Topology · Mathematics 2007-05-23 Michal Misiurewicz

We develop a universal approach enabling the study of any multimode quantum optical system evolving under a quadratic Hamiltonian. Our strategy generalizes the standard symplectic analysis and permits the treatment of multimode systems even…

This is a survey written in an expositional style on the topic of symplectic singularities and symplectic resolutions, which could also serve as an introduction to this subject.

Algebraic Geometry · Mathematics 2007-05-23 Baohua Fu

This paper focuses on a new approach to plane geometry and develops important concepts that can allow researchers to unite and observe plane geometry from a new, meaningful perspective.

Metric Geometry · Mathematics 2021-06-10 Alexander Skutin

A report on the observational status of VHE astronomy is given.

Astrophysics · Physics 2009-10-31 Trevor C. Weekes

I present a somewhat selective review of microlensing theory, covering five major areas: 1) the derivation of the basic formulae, 2) the relation between the observables and the fundamental physical parameters, 3) binaries, 4) astrometric…

Astrophysics · Physics 2007-05-23 Andrew Gould

A concise discussion of the axiomatic approach to the concept of parallel transport is presented. Attention is drawn to a bijective map between the sets of connections and (axiomatically defined) parallel transports. The transports along…

Mathematical Physics · Physics 2007-11-01 Bozhidar Z. Iliev

This paper presents a hybrid attitude and gyro-bias observer designed directly on the Special Orthogonal group SO(3). The proposed hybrid observer, relying on a hysteresis-based switching between two configurations, guarantees global…

Optimization and Control · Mathematics 2016-12-22 Soulaimane Berkane , Abdelkader Abdessameud , Abdelhamid Tayebi

This draft summarizes some basics about geometric computer vision needed to implement efficient computer vision algorithms for applications that use measurements from at least one digital camera mounted on a moving platform with a special…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Volker Willert , Martin Buczko

This is the first of several monographs to be devoted to the optics of accelerated systems. They are being published for the benefit of those who may wish to have another way of looking at kineoptical problems, and also to demonstrate that…

Optics · Physics 2007-05-23 A. I. A. Adewole

We define and study the windings along Brownian paths in the octonionic Euclidean, projective and hyperbolic spaces which are isometric to 8-dimensional Riemannian model spaces. In particular, the asymptotic laws of these windings are shown…

Probability · Mathematics 2021-08-24 Gunhee Cho , Guang Yang

Geometrical optics provides an instructive insight into Brownian motion, ``pushed" into a large-deviations regime by imposed constraints. Here we extend geometrical optics of Brownian motion by accounting for diffusion inhomogeneity in…

Statistical Mechanics · Physics 2023-09-26 Tal Bar , Baruch Meerson

We present a theoretical framework for a stereo vision method via optimal transport tools. We consider two aligned optical systems and we develop the matching between the two pictures line by line. By considering a regularized version of…

Metric Geometry · Mathematics 2022-07-04 Mattia Galeotti , Alessandro Sarti , Giovanna Citti

The objective of this paper is to share our enthusiasm for optical pumping experiments and to encourage their use in researches on practical physics. The experimental technique has been well developed and the apparatus sophisticated, but,…

General Physics · Physics 2008-12-31 Zotin K. -H. Chu