9,944 research outputs found
A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras
Mainly motivated by Pirashvili's spectral sequences on a Leibniz algebra, a
cohomological characterization of Leibniz central extensions of Lie algebras is
given based on Corollary 3.3 and Theorem 3.5. In particular, as applications,
we obtain the cohomological version of Gao's main Theorem in \cite{Gao2} for
Kac-Moody algebras and answer a question in \cite{LH}.Comment: 12 pages. Proc. Amer.Math.Soc. (to appear in a simplified version
Non-Archimedean meromorphic solutions of functional equations
In this paper, we discuss meromorphic solutions of functional equations over
non-Archimedean fields, and prove analogues of the Clunie lemma, Malmquist-type
theorem and Mokhon'ko theorem
Comparing a few distributions of transverse momenta in high energy collisions
Transverse momentum spectra of particles produced in high energy collisions
are very important due to their relations to the excitation degree of
interacting system. To describe the transverse momentum spectra, one can use
more than one probability density functions of transverse momenta, which are
simply called the functions or distributions of transverse momenta in some
cases. In this paper, a few distributions of transverse momenta in high energy
collisions are compared with each other in terms of plots to show some
quantitative differences. Meanwhile, in the framework of Tsallis statistics,
the distributions of momentum components, transverse momenta, rapidities, and
pasudorapidities are obtained according to the analytical and Monte Carlo
methods. These analyses are useful to understand carefully different
distributions in high energy collisions.Comment: 11 pages, 7 figures. Results in Physics, Accepte
A new description of transverse momentum spectra of identified particles produced in proton-proton collisions at high energies
The transverse momentum spectra of identified particles produced in high
energy proton-proton () collisions are empirically described by a new
method with the framework of participant quark model or the multisource model
at the quark level, in which the source itself is exactly the participant
quark. Each participant (constituent) quark contributes to the transverse
momentum spectrum, which is described by the TP-like function, a revised
Tsallis--Pareto-type function. The transverse momentum spectrum of the hadron
is the convolution of two or more TP-like functions. For a lepton, the
transverse momentum spectrum is the convolution of two TP-like functions due to
two participant quarks, e.g. projectile and target quarks, taking part in the
collisions. A discussed theoretical approach seems to describe the
collisions data at center-of-mass energy GeV, 2.76 TeV, and 13
TeV very well.Comment: 19 pages, 7 figures. Advances in High Energy Physics, accepte
Enabling controlling complex networks with local topological information
Complex networks characterize the nature of internal/external interactions in real-world systems
including social, economic, biological, ecological, and technological networks. Two issues keep as
obstacles to fulflling control of large-scale networks: structural controllability which describes the
ability to guide a dynamical system from any initial state to any desired fnal state in fnite time, with a
suitable choice of inputs; and optimal control, which is a typical control approach to minimize the cost
for driving the network to a predefned state with a given number of control inputs. For large complex
networks without global information of network topology, both problems remain essentially open.
Here we combine graph theory and control theory for tackling the two problems in one go, using only
local network topology information. For the structural controllability problem, a distributed local-game
matching method is proposed, where every node plays a simple Bayesian game with local information
and local interactions with adjacent nodes, ensuring a suboptimal solution at a linear complexity.
Starring from any structural controllability solution, a minimizing longest control path method can
efciently reach a good solution for the optimal control in large networks. Our results provide solutions
for distributed complex network control and demonstrate a way to link the structural controllability and
optimal control together.The work was partially supported by National Science Foundation of China (61603209), and Beijing Natural Science Foundation (4164086), and the Study of Brain-Inspired Computing System of Tsinghua University program (20151080467), and Ministry of Education, Singapore, under contracts RG28/14, MOE2014-T2-1-028 and MOE2016-T2-1-119. Part of this work is an outcome of the Future Resilient Systems project at the Singapore-ETH Centre (SEC), which is funded by the National Research Foundation of Singapore (NRF) under its Campus for Research Excellence and Technological Enterprise (CREATE) programme. (61603209 - National Science Foundation of China; 4164086 - Beijing Natural Science Foundation; 20151080467 - Study of Brain-Inspired Computing System of Tsinghua University program; RG28/14 - Ministry of Education, Singapore; MOE2014-T2-1-028 - Ministry of Education, Singapore; MOE2016-T2-1-119 - Ministry of Education, Singapore; National Research Foundation of Singapore (NRF) under Campus for Research Excellence and Technological Enterprise (CREATE) programme)Published versio
Author correction: Enabling controlling complex networks with local topological information
Correction to: Scientific Reports https://doi.org/10.1038/s41598-018-22655-5, published online 15 March 2018.
The Acknowledgements section in this Article is incomplete.The work was partially supported by National Science Foundation of China (61603209, 61327902), and Beijing Natural Science Foundation (4164086), and the Study of Brain-Inspired Computing System of Tsinghua University program (20151080467), and SuZhou-Tsinghua innovation leading program 2016SZ0102, and Ministry of Education, Singapore, under contracts RG28/14, MOE2014-T2-1-028 and MOE2016-T2-1-119. Part of this work is an outcome of the Future Resilient Systems project at the Singapore-ETH Centre (SEC), which is funded by the National Research Foundation of Singapore (NRF) under its Campus for Research Excellence and Technological Enterprise (CREATE) program. (61603209 - National Science Foundation of China; 61327902 - National Science Foundation of China; 4164086 - Beijing Natural Science Foundation; 20151080467 - Study of Brain-Inspired Computing System of Tsinghua University program; 2016SZ0102 - SuZhou-Tsinghua innovation leading program; RG28/14 - Ministry of Education, Singapore; MOE2014-T2-1-028 - Ministry of Education, Singapore; MOE2016-T2-1-119 - Ministry of Education, Singapore; National Research Foundation of Singapore (NRF) under its Campus for Research Excellence and Technological Enterprise (CREATE) program)Published versio
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