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In this short note we summarize the main results of our paper [hep-ph/0510055] and reply to a recent comment [hep-ph/0511174] on that paper.

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Walliser , H. Weigel

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

General Topology · Mathematics 2011-05-02 Huseyin Cakalli

We investigate the similarities of pairs of articles which are co-cited at the different co-citation levels of the journal, article, section, paragraph, sentence and bracket. Our results indicate that textual similarity, intellectual…

Digital Libraries · Computer Science 2017-10-30 Giovanni Colavizza , Kevin W. Boyack , Nees Jan van Eck , Ludo Waltman

We extend recent theoretical approximations describing the transition to synchronization in large undirected networks of coupled phase oscillators to the case of directed networks. We also consider extensions to networks with mixed…

Statistical Mechanics · Physics 2009-11-11 Juan G. Restrepo , Edward Ott , Brian R. Hunt

This is a reply to Muff, S. et al. (2022) Rewriting results sections in the language of evidence, Trends in Ecology & Evolution 37, 203-210.

Methodology · Statistics 2022-02-22 Valentin Amrhein , Sander Greenland

Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

Dynamical Systems · Mathematics 2023-03-31 Paolo Bartesaghi

We investigate the synchronization features of a network of spiking neurons under a distance-dependent coupling following a power-law model. The interplay between topology and coupling strength leads to the existence of different…

Neurons and Cognition · Quantitative Biology 2020-11-11 R. C. Budzinski , K. L. Rossi , B. R. R. Boaretto , T. L. Prado , S. R. Lopes

In this paper we introduce new models of complex weighted networks sharing several properties with fractal sets: the deterministic non-homogeneous weighted fractal networks and the stochastic weighted fractal networks. Networks of both…

Statistical Mechanics · Physics 2010-02-02 Timoteo Carletti

Correction to The Annals of Statistics (2006) 34, 1013--1044 [URL: http://projecteuclid.org/euclid.aos/1151418250]

Statistics Theory · Mathematics 2008-12-18 Miklós Csörgõ , Barbara Szyszkowicz , Lihong Wang

We correct a gap in the proof of Theorem 2 in Matsushima et al. (2010).

Theoretical Economics · Economics 2023-04-13 Ian Ball , Deniz Kattwinkel

Randomly evolving systems composed by elements which interact among each other have always been of great interest in several scientific fields. This work deals with the synchronization phenomenon, that could be roughly defined as the…

Probability · Mathematics 2017-12-18 Giacomo Aletti , Irene Crimaldi , Andrea Ghiglietti

We reply to comment on recent paper by Pieplow and Henkel (New J. Phys. 15 (2013) 023027) and our results made by Volokitin and Persson (arXiv: 1405.2525)

Mesoscale and Nanoscale Physics · Physics 2014-07-02 A. A. Kyasov , G. V. Dedkov

We show that there is a very simple approach to determine the 2-adic complexity of periodic binary sequences with ideal two-level autocorrelation. This is the first main result by H. Xiong, L. Qu, and C. Li, IEEE Transactions on Information…

Information Theory · Computer Science 2014-06-17 Honggang Hu

This is a comment on the recent paper by O.V. Selyugin, J.-R. Cudell, and E. Predazzi "Analytic properties of different unitarization schemes" arXiv: 0712.0621v2, [hep-ph]

High Energy Physics - Phenomenology · Physics 2008-01-09 S. M. Troshin

This results in this paper have been merged with the result in arXiv:1003.0167. The authors would like to withdraw this version. Please see arXiv:1008.5356 for the merged version.

Data Structures and Algorithms · Computer Science 2010-09-07 Jian Li , Julián Mestre

See cs.IT/0605135: R. Dabora, S. D. Servetto; On the Role of Estimate-and-Forward with Time-Sharing in Cooperative Communications.

Information Theory · Computer Science 2007-07-13 Ron Dabora , Sergio D. Servetto

The conclusions presented in this Letter arXiv:cond-mat/0412591 rely on not converged calculations and should be considered with caution.

Biological Physics · Physics 2009-01-14 Michael Sanrey , Marc Joyeux

This is a technical report, containing all the theorem proofs and additional evaluations in paper "Efficient Identification of Additive Link Metrics via Network Tomography" by Liang Ma, Ting He, Kin K. Leung, Don Towsley, and Ananthram…

Networking and Internet Architecture · Computer Science 2020-12-23 Liang Ma , Ting He , Kin K. Leung , Don Towsley , Ananthram Swami

In this paper, we generalise a congruence which proved by V. J.-W. Guo and J. Zeng \cite{gz-jnt-2012} involving Ap\'{e}ry numbers, and we obtain a congruence involving Franel numbers which confirms a congruence conjecture of Z.-W. Sun…

Number Theory · Mathematics 2021-11-18 Guo-Shuai Mao

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

Optimization and Control · Mathematics 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo
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