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The dynamical system approach has recently acquired great importance in the investigation on higher order theories of gravity. In this talk I review the main results and I give brief comments on the perspectives for further developments.

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sante Carloni , Peter K. S. Dunsby

In this text different theoretical approaches towards multi-quark states are introduced, namely hadrocharmonia, compact tetraquarks and hadronic molecules. The predictions derived from either of them are contrasted with current and possible…

High Energy Physics - Phenomenology · Physics 2025-04-09 C. Hanhart

Several complementary approaches to investigate knotted solutions of Maxwell's equations in vacuum are now available in literature. However, only partial results towards a unified description of them have been achieved. This is potentially…

Mathematical Physics · Physics 2020-04-13 E. Goulart , J. E. Ottoni

The paper describes a cover of the future cover of a sofic shift which is canonical in the same way as the future cover itself. In some cases the cover is isomorphic to the future cover and in other it is a genuine extension.

Dynamical Systems · Mathematics 2026-04-29 Klaus Thomsen

This paper presents a new algorithm for online estimation of a sequence of homographies applicable to image sequences obtained from robotic vehicles equipped with vision sensors. The approach taken exploits the underlying Special Linear…

Computer Vision and Pattern Recognition · Computer Science 2016-06-10 Minh-Duc Hua , Jochen Trumpf , Tarek Hamel , Robert Mahony , Pascal Morin

In this paper we give a brief overview of the geometry of involute gears, from a mathematical more than an engineering perspective. We also list some of the many variant geared mechanisms and discuss some of our 3D printed mechanisms.

History and Overview · Mathematics 2023-01-02 Elisabetta A. Matsumoto , Henry Segerman

This is a review article on mirror symmetry and aspects of it related to the theory of modular forms. We describe this topic along its historical development and connect to some more recent results toward the end. The article is for…

High Energy Physics - Theory · Physics 2018-04-04 Babak Haghighat

This is a survey on recent results on the Loewner theory in one and several complex manifolds

Complex Variables · Mathematics 2011-12-14 Filippo Bracci

In this short survey we report on the theory of biharmonic maps between Riemannian manifolds.

Differential Geometry · Mathematics 2007-05-23 Stefano Montaldo , Cezar Oniciuc

The purpose of this paper is to give an explicit description of the trivial and alternating components of the irreducible representation decomposition of the bigraded module obtained as the tensor square of the coinvariant space for…

Combinatorics · Mathematics 2007-05-23 Francois Bergeron , Riccardo Biagioli

We give a systematic, abstract formulation of the image normalization method as applied to a general group of image transformations, and then illustrate the abstract analysis by applying it to the hierarchy of viewing transformations of a…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Stephen L. Adler

This chapter reviews recent computational models of visual attention. We begin with models for the bottom-up or stimulus-driven guidance of attention to salient visual items, which we examine in seven different broad categories. We then…

Computer Vision and Pattern Recognition · Computer Science 2015-10-28 Laurent Itti , Ali Borji

We give a brief overview about recent developments in theories and experiments on the global and local spin polarization in heavy ion collisions.

Nuclear Theory · Physics 2018-03-14 Qun Wang

This paper represents a cost-effective scene perception system aimed towards visually impaired individual. We use an odroid system integrated with an USB camera and USB laser that can be attached on the chest. The system classifies the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Baljit Kaur , Jhilik Bhattacharya

Simple optics are defined using actions of monoidal categories. Compound optics arise, for instance, as natural transformations between polynomial functors. Since a monoidal category is a special case of a bicategory, we formulate complex…

Category Theory · Mathematics 2022-03-24 Bartosz Milewski

This expository paper discusses some conjectures related to visibility and blockers for sets of points in the plane.

Combinatorics · Mathematics 2010-08-20 Attila Pór , David R. Wood

We present an approach for optical navigation in unstructured, dynamic railroad environments. We propose a way how to cope with the estimation of the train motion from sole observations of the planar track bed. The occasional significant…

Robotics · Computer Science 2020-07-08 Darius Burschka , Christian Robl , Sebastian Ohrendorf-Weiss

A short survey of the role of unitarity for hard diffractive cross-sections is given

High Energy Physics - Phenomenology · Physics 2009-10-31 V. A. Petrov

We present an optical mapping near-eye (OMNI) three-dimensional display method for wearable devices. By dividing a display screen into different sub-panels and optically mapping them to various depths, we create a multiplane volumetric…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Wei Cui , Liang Gao

An overview of last seven years results concerning Sarnak's conjecture on M\"obius disjointness is presented, focusing on ergodic theory aspects of the conjecture.

Dynamical Systems · Mathematics 2017-10-12 S. Ferenczi , J. Kułaga-Przymus , M. Lemańczyk