It is shown that the use of a high power alpha of the Laplacian in the dissipative term of hydrodynamical equations leads asymptotically to truncated inviscid conservative dynamics with a finite range of spatial Fourier modes. Those at large wave numbers thermalize, whereas modes at small wave numbers obey ordinary viscous dynamics [C. Cichowlas et al., Phys. Rev. Lett. 95, 264502 (2005)10.1103...

We endow the homotopy category of well generated (pretriangulated) dg categories with a tensor product satisfying universal property. The resulting monoidal structure is symmetric and closed respect to cocontinuous RHom (in sense To\"en [26]). give construction in terms localisations derived categories, making use enhanced Gabriel-Popescu theorem [21]. Given regular cardinal alpha, we define co...

We generalize the partial derivative automaton to regular expressions with shuffle and study its size in the worst and in the average case. The number of states of the partial derivative automata is in the worst case at most 2m, where m is the number of letters in the expression, while asymptotically and on average it is no more than ( 4 3 )m.

Suppose that any t members (t ≥ 2) of a regular family on an n element set have at least k common elements. It is proved that the largest member of the family has at least k1/tn1−1/t elements. The same holds for balanced families, which is a generalization of the regularity. The estimate is asymptotically sharp.

Let G be a random d-regular graph on n vertices. We prove that for every constant $$\alpha > 0$$ , with high probability eigenvector of the adjacency matrix eigenvalue less than $$-2\sqrt{d-2}-\alpha $$ has $$\Omega (n/\textrm{polylog}(n))$$ nodal domains.

We derive a high-resolution formula for the L-quantization errors of Riemann-Liouville processes and the sharp Kolmogorov entropy asymptotics for related Sobolev balls. We describe a quantization procedure which leads to asymptotically optimal functional quantizers. Regular variation of the eigenvalues of the covariance operator plays a crucial role.

A continuum of new monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space are found. They are regular everywhere and specified by their mass and their non-Abelian electric and magnetic charges. A class of monopole solutions which have no node in non-Abelian magnetic fields is shown to be stable against spherically symmetric linear perturbations.

Abstract In this paper, we probe in 4D Einstein–Gauss–Bonnet black hole and its thermodynamics. We illustrate the three asymptotically EGB spacetime as an flat, de Sitter, Anti-de Sitter. Also, apply tunneling of massless particles from horizon gravity investigate correlation between emission modes temperature horizon. flat spacetime, existence coupling constant alone constructs regular radiati...

Asymptotically risk-efficient sequential point estimation of regular functionals of distribution functions based on U-statistics is considered under appropriate regularity conditions. Some auxiliary results on U-statistics are also considered in this context. fu~S Subject Classification: 62L12, 62LlS, 62G99.

Some recovery type error estimators for linear finite elements are analyzed under O(h1+α) (α > 0) regular grids. Superconvergence of order O(h1+ρ) (0 < ρ ≤ α) is established for recovered gradients by three different methods. As a consequence, a posteriori error estimators based on those recovery methods are asymptotically exact.