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We study in this paper some criterions to get polarized morphisms between abelian varieties. We deduce explicit dynamical systems with particular intersection properties.

Number Theory · Mathematics 2015-07-02 Fabien Pazuki

A polar coding scheme is introduced in this paper for the wire-tap channel. It is shown that the provided scheme achieves the entire rate-equivocation region for the case of symmetric and degraded wire-tap channel, where the weak notion of…

Information Theory · Computer Science 2015-03-17 Eran Hof , Shlomo Shamai

In this paper we study super-isolated abelian varieties, that is, abelian varieties over finite fields whose isogeny class contains a single isomorphism class. The goal of this paper is to (1) characterize whether a product of…

Number Theory · Mathematics 2022-01-19 Stefano Marseglia , Travis Scholl

General properties of the differential cross section and of the polarization observables are derived for the $e^++e^-\to N+\bar N$ reaction, in presence of two--photon exchange. Polarization effects are investigated for longitudinally…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. I. Gakh , E. Tomasi-Gustafsson

The problem of distributed data compression for function computation is considered, where (i) the function to be computed is not necessarily symbol-wise function and (ii) the information source has memory and may not be stationary nor…

Information Theory · Computer Science 2015-05-12 Shigeaki Kuzuoka , Shun Watanabe

We study polarization for nonbinary channels with input alphabet of size q=2^r,r=2,3,... Using Arikan's polarizing kernel H_2, we prove that the virtual channels that arise in the process of polarization converge to q-ary channels with…

Information Theory · Computer Science 2012-01-25 Woomyoung Park , Alexander Barg

The circular polarization of gravitational waves is a powerful observable to test parity violation in gravity and to distinguish between the primordial or the astrophysical origin of the stochastic background. This property comes from the…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-02 Lorenzo Valbusa Dall'Armi , Atsushi Nishizawa , Angelo Ricciardone , Sabino Matarrese

A polar coding scheme for interference networks is introduced. The scheme combines Arikan's monotone chain rules for multiple-access channels and a method by Hassani and Urbanke to 'align' two incompatible polarization processes. It…

Information Theory · Computer Science 2014-01-29 Lele Wang , Eren Sasoglu

In this work, we consider a distributed source coding problem with a joint distortion criterion depending on the sources and the reconstruction. This includes as a special case the problem of computing a function of the sources to within…

Information Theory · Computer Science 2008-08-21 Dinesh Krithivasan , S. Sandeep Pradhan

We analyze the dispersions of distributed lossless source coding (the Slepian-Wolf problem), the multiple-access channel and the asymmetric broadcast channel. For the two-encoder Slepian-Wolf problem, we introduce a quantity known as the…

Information Theory · Computer Science 2014-01-23 Vincent Y. F. Tan , Oliver Kosut

The polarization of a coherent depolarized incident light beam passing through a disordered medium is investigated. The local polarization of the scattered far field and the probability density function are calculated and show an excellent…

Optics · Physics 2011-06-06 Jacques Sorrentini , Myriam Zerrad , Gabriel Soriano , Claude Amra

Discussions of political disagreement emphasize two patterns: polarization, where beliefs diverge toward opposite extremes on each issue dimension; and issue alignment, where individuals' views across issues become more internally…

Theoretical Economics · Economics 2026-03-10 Tuval Danenberg

We consider the problem of distributed binary hypothesis testing of two sequences that are generated by an i.i.d. doubly-binary symmetric source. Each sequence is observed by a different terminal. The two hypotheses correspond to different…

Information Theory · Computer Science 2018-01-03 Eli Haim , Yuval Kochman

In this paper, we analyze the asymptotics of the normalized remaining uncertainty of a source when a compressed or hashed version of it and correlated side-information is observed. For this system, commonly known as Slepian-Wolf source…

Information Theory · Computer Science 2016-06-01 Vincent Y. F. Tan , Masahito Hayashi

This paper addresses lossy transmission of a common source over a broadcast channel when there is correlated side information at the receivers, with emphasis on the quadratic Gaussian and binary Hamming cases. A digital scheme that combines…

Information Theory · Computer Science 2009-11-24 Jayanth Nayak , Ertem Tuncel , Deniz Gunduz

Arikan's polar coding method is extended to two-user multiple-access channels. It is shown that if the two users of the channel use the Arikan construction, the resulting channels will polarize to one of five possible extremals, on each of…

Information Theory · Computer Science 2016-11-15 Eren Sasoglu , Emre Telatar , Edmund Yeh

Channel coding over arbitrarily-permuted parallel channels was first studied by Willems et al. (2008). This paper introduces capacity-achieving polar coding schemes for arbitrarily-permuted parallel channels where the component channels are…

Information Theory · Computer Science 2015-03-17 Eran Hof , Igal Sason , Shlomo Shamai , Chao Tian

Source localization aims to locate information diffusion sources only given the diffusion observation, which has attracted extensive attention in the past few years. Existing methods are mostly tailored for single networks and may not be…

Social and Information Networks · Computer Science 2024-04-24 Chen Ling , Tanmoy Chowdhury , Jie Ji , Sirui Li , Andreas Züfle , Liang Zhao

Alternative theories of gravity predict up to six distinct polarization modes for gravitational waves. Strong gravitational lensing of gravitational waves allows us to probe the polarization content of these signals by effectively…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Ignacio Magaña Hernandez

This paper investigates the error probability of several decoding methods for a source code with decoder side information, where the decoding methods are: 1) symbol-wise maximum a posteriori decoding, 2) successive-cancellation decoding,…

Information Theory · Computer Science 2019-04-11 Jun Muramatsu
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