ar X iv : c on d - m at / 0 20 64 78 v 1 2 5 Ju n 20 02 Currents in System of Noisy Mesoscopic Rings

ar X iv : c on d - m at / 9 30 20 08 v 2 1 6 Ju l 1 99 3 UCF - CM

We present an approach to steady-state mesoscopic transport based on the maximum entropy principle formulation of nonequilibrium statistical mechanics. Our approach is not limited to the linear response regime. We show that this approach yields the quantization observed in the integer quantum Hall effect at large currents, which until now has been unexplained. We also predict new behaviors of n...

ar X iv : h ep - p h / 02 06 17 1 v 2 2 4 Ju n 20 02 IPHE 2002 - 009 June 24 , 2002 B 0 – B 0 MIXING

ar X iv : 0 70 4 . 17 02 v 2 [ m at h . A G ] 2 6 Ju n 20 08 THE CANONICAL VOLUME OF 3 - FOLDS OF GENERAL TYPE WITH χ ≤ 0

We prove that the canonical volume K ≥ 1 30 for all 3-folds of general type with χ(O) ≤ 0. This bound is sharp.

ar X iv : 0 70 4 . 17 02 v 3 [ m at h . A G ] 2 7 Ju n 20 08 THE CANONICAL VOLUME OF 3 - FOLDS OF GENERAL TYPE WITH χ ≤ 0

We prove that the canonical volume K ≥ 1 30 for all 3-folds of general type with χ(O) ≤ 0. This bound is sharp.

ar X iv : m at h - ph / 0 20 60 17 v 1 1 2 Ju n 20 02 Z 3 - graded Grassmann Variables , Parafermions and their Coherent States

A relation between the Z3-graded Grassmann variables and parafermions is established. Coherent states are constructed as a direct consequence of such a relationship. We also give the analog of the Bargmann-Fock representation in terms of these Grassmann variables.