ar X iv : c s . IT / 0 50 50 54 v 1 2 1 M ay 2 00 5 The Partition Weight Enumerator of MDS Codes and its Applications

ar X iv : 0 90 3 . 54 50 v 1 [ m at h - ph ] 3 1 M ar 2 00 9 On an average over the Gaussian Unitary Ensemble ∗

We study the asymptotic limit for large matrix dimension N of the partition function of the unitary ensemble (β = 2) with weight w(x) := exp − z 2 2x 2 + t x − x 2 2. We compute the leading order term of the partition function and of the coefficients of its Taylor expansion. Our results are valid in the region c 1 N − 1 2 < z < c 2 N 1 4. Such partition function contains all the information on ...

ar X iv : n uc l - th / 0 50 50 24 v 1 9 M ay 2 00 5 Structure of isomeric states in 66 As and 67 As

ar X iv : g r - qc / 0 50 51 30 v 1 2 6 M ay 2 00 5 An Exact Solution for Static Scalar Fields Coupled to Gravity in ( 2 + 1 ) - Dimensions

We obtain an exact solution for the Einstein’s equations with cosmological constant coupled to a scalar, static particle in static, ”spherically” symmetric background in 2 + 1 dimensions. ————————————————————————————

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...

ar X iv : 0 70 5 . 15 31 v 1 [ he p - ph ] 1 0 M ay 2 00 7 Semiclassical thermodynamics of scalar fields

We present a systematic semiclassical procedure to compute the partition function for scalar field theories at finite temperature. The central objects in our scheme are the solutions of the classical equations of motion in imaginary time, with spatially independent boundary conditions. Field fluctuations – both field deviations around these classical solutions, and fluctuations of the boundary ...