ar X iv : m at h / 04 05 52 2 v 5 [ m at h . D S ] 2 5 M ay 2 00 5 Dimensions of Julia sets of expanding rational semigroups

ar X iv : h ep - p h / 04 05 03 5 v 1 5 M ay 2 00 4 Determination of the mass of the ΛΛ dibaryon by the method of QCD sum rules

ar X iv : m at h / 06 05 64 5 v 1 [ m at h . A G ] 2 4 M ay 2 00 6 ON NORI ’ S FUNDAMENTAL GROUP SCHEME

The aim of this note is to give two structure theorems on Nori’s fundamental group scheme of a proper connected variety defined over a perfect field and endowed with a rational point.

ar X iv : h ep - p h / 04 05 03 9 v 1 5 M ay 2 00 4 η , η ′ → π + π − γ with coupled channels

ar X iv : a st ro - p h / 05 05 55 5 v 1 2 7 M ay 2 00 5 Pulsars as Tools for Fundamental Physics & Astrophysics

X iv :a st ro -p h/ 05 05 55 5v 1 2 7 M ay 2 00 5 Pulsars as Tools for Fundamental Physics & Astrophysics J. M. Cordes, M. Kramer, T. J. W. Lazio , B. W. Stappers, D. C. Backer, S. Johnston Department of Astronomy and NAIC, Cornell University, Ithaca, NY USA University of Manchester, Jodrell Bank Observatory, Jodrell Bank, UK Naval Research Laboratory, Remote Sensing Division, Washington, DC US...

ar X iv : m at h / 04 11 14 0 v 2 [ m at h . N T ] 4 M ay 2 00 5 THE 3 x + 1 SEMIGROUP

The 3x + 1 semigroup is the multiplicative semigroup S of positive rational numbers generated by { 2k+1 3k+2 : k ≥ 0} together with {2}. This semigroup encodes backwards iteration under the 3x + 1 map, and the 3x + 1 conjecture implies that it contains every positive integer. This semigroup is proved to be the set of positive rationals a b in lowest terms with b 6≡ 0( mod 3), and so contains al...