ar X iv : m at h . FA / 9 31 22 09 v 1 29 D ec 1 99 3 ON FUNCTIONS OF FINITE BAIRE INDEX

ar X iv : m at h / 93 12 20 9 v 1 [ m at h . FA ] 2 9 D ec 1 99 3 ON FUNCTIONS OF FINITE BAIRE INDEX

It is proved that every function of finite Baire index on a separable metric space K is a D-function, i.e., a difference of bounded semi-continuous functions on K. In fact it is a strong D-function, meaning it can be approximated arbitrarily closely in D-norm, by simple D-functions. It is shown that if the n derived set of K is non-empty for all finite n, there exist D-functions on K which are ...

ar X iv : m at h - ph / 9 81 20 09 v 1 1 3 D ec 1 99 8 Quantum dots A survey of rigorous results

ar X iv : h ep - l at / 9 31 20 16 v 1 3 D ec 1 99 3 1 Lattice QCD Calculation of Hadron Scattering Lengths ∗

Method of calculating hadron multi-point functions and disconnected quark loop contributions which are not readily accessible through conventional techniques is proposed. Results are reported for π-π, π-N and N-N scattering lengths and the flavor singlet-non singlet meson mass splitting estimated in quenched QCD.

ar X iv : h ep - l at / 9 31 10 65 v 2 1 D ec 1 99 3 1 2 - and 3 - Point Gluon Correlation Functions on the Lattice

I present some preliminary results, obtained in collaboration with C. Bernard and A. Soni, for the lattice evaluation of 2-and 3-point gluon correlation functions in momentum space, with emphasis on the amputated 3-gluon vertex function. The final goal of this approach is the study of the running QCD coupling constant as defined from the amputated 3-gluon vertex.

ar X iv : g r - qc / 9 61 20 09 v 1 3 D ec 1 99 6 Signal analysis of gravitational waves