. M N / 0 51 00 55 v 1 2 9 O ct 2 00 5 Signal Propagation in Nonlinear Stochastic Gene Regulatory Networks

RTES-03 Interfaces.indd

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ar X iv : m at h - ph / 0 51 00 88 v 1 2 6 O ct 2 00 5 Quasi - Chaplygin Systems and Nonholonimic Rigid Body Dynamics ∗

We show that the Suslov nonholonomic rigid body problem studied in [10, 13, 26] can be regarded almost everywhere as a generalized Chaplygin system. Furthermore, this provides a new example of a multidimensional nonholonomic system which can be reduced to a Hamiltonian form by means of Chaplygin reducing multiplier. Since we deal with Chaplygin systems in the local sense, the invariant manifold...

ar X iv : g r - qc / 0 51 01 27 v 1 3 1 O ct 2 00 5 Imprints of Spacetime Topology in the Hawking - Unruh Effect

ar X iv : n uc l - th / 0 51 00 19 v 1 6 O ct 2 00 5 Break - up fragments excitation and the freeze - out volume

Abstract We investigate, in microcanonical multifragmentation models, the influence of the amount of energy dissipated in break-up fragments excitation on freeze-out volume determination. Assuming a limiting temperature decreasing with nuclear mass, we obtain for the Xe+Sn at 32 MeV/nucleon reaction [J. D. Frankland et al., Nucl. Phys. A689, 905 (2001); A689, 940 (2001)] a freeze-out volume alm...

ar X iv : 0 71 0 . 27 55 v 1 [ m at h . PR ] 1 5 O ct 2 00 7 Reduced branching processes with very heavy tails

The reduced Markov branching process is a stochastic model for the genealogy of an unstructured biological population. Its limit behavior in the critical case is well studied for the Zolotarev-Slack regularity parameter α ∈ (0, 1]. We turn to the case of very heavy tailed reproduction distribution α = 0 assuming Zubkov’s regularity condition with parameter β ∈ (0,∞). Our main result gives a new...