The group Am of automophisms of a one-rooted m-ary tree admits a diagonal monomorphism which we denote by x. Let A be an abelian state-closed (or self-similar) subgroup of Am. We prove that the recurrence and tree-topological closure A∗ of A is additively a finitely presented Zm [[x]]module where Zm is the ring of m-adic integers. Moreover, if A∗ is torsion-free then it is a finitely generated ...

We will need a general fact relating intersection products and the diagonal. The setup is as follows: Let X ρ −→ S be a (locally trivial) fiber bundle, where X and S are oriented smooth manifolds, and the fibers are compact ndimensional manifolds. (In our application, S will be an approximation space for BG.) Then we have a Gysin map ρ∗ : H X → H S. Assume HX is a free module over HS, and let {...

Let D be a division algebra for a non-Archimedean local field. Given an irreducible representation π of GL2(D), we describe its restriction to the diagonal subgroup D∗ × D∗. The description is in terms of the structure of the twisted Jacquet module of the representation π. The proof involves Kirillov theory that we have developed earlier in joint work with Dipendra Prasad. The main result on re...

The Hilbert series of the Garsia-Haiman module can be written as a generating function of standard fillings of Ferrers diagrams. It is conjectured by Haglund and Loehr that the Hilbert series of the diagonal harmonics can be written as a generating function of parking functions. In this paper we present a weight-preserving injection from standard fillings to parking functions for certain cases....

Off-diagonal (or skewed) parton distributions provide important information about the nonperturbartive structure of the nucleon [1]. They can in principle be measured in such processes as deeply virtual Compton scattering, diffractive vector meson production or diffractive high-pT jet production. Just as for the ordinary (diagonal) parton distributions, the QCD evolution equations [2] play an i...

Basing on the principle of virtual equivalent velocity, this paper adapt the method of extending axis flow impeller to the quasi 3-D flow design of diagonal flow impeller with the experimental cascade data of circular arc blade. The performances of diagonal flow fan with outlet guide volute designed by this method, are compared with that designed by airfoil section cascade data. The reasonablen...

We briefly discuss the problem of specifying initial conditions for evolution of off-diagonal (skewed) parton distributions. We present numerical results to show that evolution rapidly washes out differences of input. Off-diagonal (or skewed) parton distributions provide important information about the nonper-turbartive structure of the nucleon [ 1]. They can in principle be measured in such pr...

1 Why Distributed Virtual Worlds? Although many research groups are currently designing and building virtual worlds based upon the functionality of a single hardware platform or a small number of tightly connected platforms, the need for distributing virtual worlds has been well demonstrated in domains such as ight simulators (Lee, Rissman, D'Ippolito, Plinta and Van Scoy 1988) and distributed ...

We present a parameterization of the non-collinear (virtual) Compton scattering tensor in terms of form factors, in which the Lorentz tensor associated with each form factor possesses manifest electromagnetic gauge invariance. The main finding is that in a well-defined form factor expansion of the scattering tensor, the form factors are either symmetric or antisymmetric under the exchange of tw...