Ergodic measureLyapunov exponentflowWe prove for n >= 3 that every nonatomic ergodic measure of an n-dimensional flow whose Lyapunov exponents off the flow direction are all negative is supported on an attracting periodic orbit.Barragan, Andres MauricioMorales, Carlos Arnoldo...
20. This is most prominent in the case of hU which is also characterized by a rather large exponent η = 4.9. To understand the impact exerted by the most frequent users on the length of a thread consider the dependence between the normalized number of unique users in a sin- gle thread...
In addition to negative f 's, the multifractals investigated here involve a critical exponent q bottom < 0, such that population moments of exponent q less than q bottom are infinite. The corresponding sample moments are extremely "ill-behaved."The "ordinary" multifractals, whose simplest ...
An adaptive exponent scheme has been adopted for our method instead of the old unitary one, which ensures the theoretical convergence and accelerates the convergence speed thanks to the adaptive exponent. We provide new multiplicative update rules for PNMF based on the squared Euclidean distance and...
A singularity on the negative-fugacity axis ofthe hard-core lattice gas is investigated in terms ofnumerical diagonalization of large-scale transfer matrices.For the hard-square lattice gas, the location of the singular point$z_c^-$ and thecritical exponent u03bd are accurately determined by ...
the exponent of a matrix setcarefully synchronizing automatathe Cerny conjectureA set of nonnegative matrices M = {M-1, M-2,, M-k} is called primitive if there exist possibly equal indices i(1), i(2), ...,i(m) such that M-i1 M-i2 ... M-im is entrywise positive. The ...
The low field susceptibility followed a power law in temperature with an exponent of 0.71. A large negative magnetoresistance was observed for temperatures below 6 K and magnetic fields below 10kG [ (6 kG) (0 kG) = 1 15 at 2K]. Below 10 K the resistivity at low fields varied ...
APPROXIMATIONS OF HYPERSINGULAR INTEGRALS FOR NEGATIVE FRACTIONAL EXPONENT 积分否定分代数字方法分数这篇文章介绍 hypersingular 积分的近似 ? ab g (x)(x-t ) dx 并且 ? ab g (x)| x-t |有任意的单个点 t 的 dx (一, b ) 并且否定部分数字 <-1.这些一般扩大对 hypersingular 积分的一个大范围...
A note on nonlinear biharmonic equations with negative exponentThird order operator with periodic coefficientsSpectral asymptoticsIn this paper we study radially symmetric entire solutions ofΔ2u=−u−q,u>0inR3. We find the asymptotic behavior of these solutions for any q>1 and prove that for ...
local primitivityprimitive setexponentlocal exponentThe article surveys the main results on the primitivity and local primitivity of digraphs and matrices from the inception of this research area in 1912 by now. We review the universal and special......