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The purpose of this article is to study operators whose kernel share some key features of Bergman kernels from complex analysis, and are approximate projectors. It turns out that they must be associated with a rich set of geometric data, on…

Complex Variables · Mathematics 2024-07-10 Yannick Guedes Bonthonneau

Let $V\subset\R^m$ be a convex body, symmetric about all coordinate hyperplanes, and let $\PP_{aV},\, a\ge 0$, be a set of all algebraic polynomials whose Newton polyhedra are subsets of $aV$. We prove a limit equality as $a\to \iy$ between…

Classical Analysis and ODEs · Mathematics 2022-12-26 Michael Ganzburg

A known property of conditional expectation is extended to the framework of Markov kernels. Its meaning in terms of densities is provided. Some examples located in the field of clinical diagnosis are presented to delimit the main result of…

Probability · Mathematics 2021-10-28 A. G. Nogales

A photon correlation method is introduced for measuring components of the shear rate tensor in a turbulent soap film. This new scheme, which is also applicable to three-dimensional flows, is shown to give the same results as Laser Doppler…

Fluid Dynamics · Physics 2011-10-11 Stefanus Stefanus , Stanley Steers , Walter Goldburg

This paper extends a recently proposed robust computational framework for constructing the boundary representation (brep) of the volume swept by a given smooth solid moving along a one parameter family $h$ of rigid motions. Our extension…

Graphics · Computer Science 2014-05-30 Bharat Adsul , Jinesh Machchhar , Milind Sohoni

A magnetic measurement of the bar shaped test specimen placed inside the planar sensor is presented. A magnetic material characterization approach using planar cavity is proposed in this work. The proposed planar sensor relaxes the main…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Nilesh K Tiwari , A K Jha , S P Singh , M Jaleel Akhtar

For $\pi^0\eta$-photoproduction on the nucleon formal expressions are developed for the five-fold differential cross section and the recoil polarization including beam and target polarizations. The polarization observables are described by…

Nuclear Theory · Physics 2011-02-28 A. Fix , H. Arenhövel

We develop a new method of extracting simultaneous measurements of weak lensing shear and a local rotation of the plane of polarization using observations of resolved radio sources. We show that the direction of polarization is…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-28 Lee Whittaker , Richard A. Battye , Michael L. Brown

This paper addresses the question whether a variant of a modal interpretation is conceivable that could accommodate property ascriptions associated with nonorthogonal resolutions of the unity and nonorthogonal families of relative states as…

Quantum Physics · Physics 2007-05-23 P. Busch

We identify and study a particular class of distinguishability problems for quantum observables (POVMs), in which observables with permuted effects are involved, which we call as the labeling problem. Consequently, we identify the binary…

Quantum Physics · Physics 2024-07-09 Nidhin Sudarsanan Ragini , Mário Ziman

We study hyperbolic skew products and the disintegration of the SRB measure into measures supported on local stable manifolds. Such a disintegration gives a method for passing from an observable $v$ on the skew product to an observable…

Dynamical Systems · Mathematics 2017-05-02 Oliver Butterley , Ian Melbourne

Modular values are quantities that described by pre- and postselected states of quantum systems like weak values but are different from them: The associated interaction is not necessary to be weak. We discuss an optimal modular-value-based…

Quantum Physics · Physics 2018-11-07 Le Bin Ho , Yasushi Kondo

We investigate the spherical photon orbits in near-extremal Kerr spacetimes. We show that the spherical photon orbits with impact parameters in a finite range converge on the event horizon. Furthermore, we demonstrate that the Weyl…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Takahisa Igata , Hideki Ishihara , Yu Yasunishi

The discrepancy between polarized and unpolarized measurements of the proton's electromagnetic form factors is striking, and suggests that two-photon exchange (TPE) may be playing a larger role in elastic electron-proton scattering than is…

Nuclear Experiment · Physics 2018-06-13 Axel Schmidt

This is an exposition of facts about p-local spectra, p-complete spectra and modules over the p-complete sphere spectrum, including homological criteria for finiteness. Most things are well-known to the experts, with a couple of potential…

Algebraic Topology · Mathematics 2024-12-13 Neil Strickland

POLAR is a compact polarimeter dedicated to measure the polarization of GRBs between 50-300 keV. The light collection of 200*6*6mm3 plastic bars has been simulated and optimized in order to get uniform response to x-rays at different points…

Instrumentation and Methods for Astrophysics · Physics 2009-07-17 Yongwei Dong , Yanguo Li , Bobing Wu , Yongjie Zhang , Shuangnan Zhang

We introduced the concept of a metric value set (MVS) in an earlier paper \cite{GM} and developed the idea further in \cite{AS}. In this paper we study locally $M$-metrizable spaces and the products of $M$-metrizable spaces. Finally we…

General Topology · Mathematics 2017-07-04 Olli Hella

Recently, several new solar radio telescopes have been put into operation and provided spectral-imaging observations with much higher resolutions in decimeter (dm) and centimeter (cm) wavelengths. These telescopes include the Mingantu…

Solar and Stellar Astrophysics · Physics 2023-11-27 Baolin Tan , Yihua Yan , Jing Huang , Yin Zhang , Chengming Tan , Xiaoshuai Zhu

A complete set of linearly independent observables in Compton scattering with arbitrarily polarised real photons off an arbitrarily polarised spin-1 target is introduced, for the case that the final-state polarisations are not measured.…

Nuclear Theory · Physics 2018-04-12 Harald W. Griesshammer

The purpose of this note is to clarify the logical relationship between joint measurability and contextuality for quantum observables in view of recent developments [1-4].

Quantum Physics · Physics 2014-03-04 Ravi Kunjwal