312,291 research outputs found
Euclidean solutions of Yang-Mills-dilaton theory
Classical solutions of the Yang-Mills-dilaton theory in Euclidean space-time
are investigated. Our analytical and numerical results imply existence of
infinite number of branches of dyonic type solutions labelled by the number of
nodes of gauge field amplitude . We find that the branches of solutions
exist in finite region of parameter space and discuss this issue in detail in
different dilaton field normalization.Comment: 16 pages, 11 figures, references added, matches published vesio
Distributed Estimation of Graph Spectrum
In this paper, we develop a two-stage distributed algorithm that enables
nodes in a graph to cooperatively estimate the spectrum of a matrix
associated with the graph, which includes the adjacency and Laplacian matrices
as special cases. In the first stage, the algorithm uses a discrete-time linear
iteration and the Cayley-Hamilton theorem to convert the problem into one of
solving a set of linear equations, where each equation is known to a node. In
the second stage, if the nodes happen to know that is cyclic, the algorithm
uses a Lyapunov approach to asymptotically solve the equations with an
exponential rate of convergence. If they do not know whether is cyclic, the
algorithm uses a random perturbation approach and a structural controllability
result to approximately solve the equations with an error that can be made
small. Finally, we provide simulation results that illustrate the algorithm.Comment: 15 pages, 2 figure
Elements with finite Coxeter part in an affine Weyl group
Let be an affine Weyl group and be the
natural projection to the corresponding finite Weyl group. We say that has finite Coxeter part if is conjugate to a Coxeter element of
. The elements with finite Coxeter part is a union of conjugacy classes of
. We show that for each conjugacy class of with finite
Coxeter part there exits a unique maximal proper parabolic subgroup of
, such that the set of minimal length elements in is exactly
the set of Coxeter elements in . Similar results hold for twisted
conjugacy classes.Comment: 9 page
Lax Operator for the Quantised Orthosymplectic Superalgebra U_q[osp(2|n)]
Each quantum superalgebra is a quasi-triangular Hopf superalgebra, so
contains a \textit{universal -matrix} in the tensor product algebra which
satisfies the Yang-Baxter equation. Applying the vector representation ,
which acts on the vector module , to one side of a universal -matrix
gives a Lax operator. In this paper a Lax operator is constructed for the
-type quantum superalgebras . This can in turn be used to
find a solution to the Yang-Baxter equation acting on
where is an arbitrary module. The case is included
here as an example.Comment: 15 page
Distribusi stasioner rantai markov waktu diskrit
Misalkan X, n > 0 adalah Rantai Markov dalam ruang
11
bagian w berhingga atau tak berhingga tetapi terbilang dan dibatasi pada dua state. Masing-masing state akan melakukan distribusi ke state yang lain dengan Distribusi Stasioner 11. Formula Distribusi Stasioner n adalah
Jika varibel random xi ,x2 , ..,xn e w _clan masing-masing
juga mengalami Distrbusi Stasioner 11 akan dibuktikan bahwa
itu tunggal dengan menggunakan Distribusi Awal no.
Dengan menggunakan Proporsi Rata-rata Kedatangan dari state x ke state y yang dinotasikan dengan Gn(x'Y)
n
dimana state x adalah Rekuren dan Rekuren Positif akan dibuktikan ketunggalan dari Distribusi Stasioner fl
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