N ov 2 00 7 Skorohod - reflection of Brownian Paths and BES 3

A Skorohod-type Lemma and a Decomposition of Reflected Brownian Motion Krzysztof Burdzy

We consider 2-dimensional reflected Brownian motions in sharp thorns pointed downward with horizontal vectors of reflection. We present a decomposition of the process into a Brownian motion and a process which has bounded variation away from the tip of the thorn. The construction is based on a new Skorohod-type lemma.

ov 2 00 5 σ , κ and f 0 ( 980 ) in E 791 and BES II data

ar X iv : 0 71 1 . 45 13 v 1 [ gr - q c ] 2 8 N ov 2 00 7 Conformal classes of asymptotically flat , static vacuum data

We show that time-reflection symmetric, asymptotically flat, static vacuum data which admit a non-trivial conformal rescaling which leads again to such data must be axi-symmetric and admit a conformal Killing field. Moreover, it is shown that there exists a 3-parameter family of such data. PACS: 04.20.Ex, 04.20.Ha, 04.20.Jb

1 N ov 2 00 7 Links between connections , parallel transports and transports along paths

The axiomatic approach to parallel transport theory is partially discussed. Bijective correspondences between the sets of connections, (axiomatically defined) parallel transports and transports along paths satisfying some additional conditions are constructed. In particular, the equivalence between the concepts “connection” and “(axiomatically defined) parallel transport” is established. Bozhid...

ar X iv : h ep - p h / 06 11 08 3 v 1 7 N ov 2 00 6 Quasi - particle perspective on critical end - point

Within a quasi-particle model for the equation of state of strongly interacting matter for two quark flavors we include phenomenologically features of the QCD critical point and discuss its impact on the equation of state. In particular, we investigate the influence on the quark number susceptibility and the pattern of isentropic trajectories which describe the evolutionary paths of matter duri...