Key properties of multimedia traac are characterized by the great diversity of correlation and burstiness. Construct the multimedia traac by heterogeneous 2-state Markov chains as in 1] 2]. Here we allow each 2-state MC to be deened on diierent transition intervals, representing the diversity of peak access rate from individual sources. Upon time renormalization, the queue is modeled by a multi...

Surface distortions to an otherwise planar channel flow introduce vorticity perturbations. In Newtonian fluids, the induced by small surface undulations on lower wall is advected background and diffuses into fluid. When fluid viscoelastic, we identify new mechanisms which significant perturbations can be generated in both inertialess elasto-inertial flows. We focus case where lengthscale of dis...

In this paper we study the vanishing and non-vanishing of generalized local cohomology and generalized local homology. In particular for a Noetherian local ring (R,m) and two non-zero finitely generated R-modules M and N , it is shown that H m (M,N) 6= 0.

We give a partial answer to the effective non-vanishing problem for algebraic surfaces in positive characteristic, and also give counterexamples for the Kawamata-Viehweg vanishing and the logarithmic semipositivity on ruled surfaces in positive characteristic.