Transverse velocities, intermittency and asymmetry in fully developed turbulence

Using experimental transverse velocities data for very high Reynolds number turbulence, we suggest a model describing both formation of intermittency and asymmetry of turbulence. The model, called "bump-model" is a modification of ramp-model suggested earlier, S.I. Vainshtein and K.R. Sreenivasan, Phys. Rev. Lett., 73, 3085 (1994). The connection between asymmetry and intermittency makes it possible to study the latter with relatively low moments.Comment: 3 pages, 2 figure

ηc\eta_c - glueball Mixing and Resonance X(1835)

The mixing of $\eta_c$ and the lowest mass pseudoscalar glueball is estimated within the framework of the instanton liquid model. It is demonstrated that the mixing is large and may explain the difference between the observed mass of the glueball candidate X(1835) and the theoretical prediction of QCD sum rule analysis.Comment: 5 pages, 1 figure, Late

Restricted 132-avoiding permutations

We study generating functions for the number of permutations on n letters avoiding 132 and an arbitrary permutation $\tau$ on k letters, or containing $\tau$ exactly once. In several interesting cases the generating function depends only on k and is expressed via Chebyshev polynomials of the second kind.Comment: 10 page