/ 06 03 57 2 v 1 2 1 M ar 2 00 6 Cut - out sets , fractal voids and cosmic structure

ar X iv : a st ro - p h / 06 06 47 7 v 2 2 6 Ju l 2 00 6 Rotation of Cosmic Voids and Void - Spin Statistics

We present a theoretical study of void spins and their correlation properties. The concept of the spin angular momentum for an unbound void is introduced to quantify the effect of the tidal field on the distribution of matter that make up the void. Both the analytical and numerical approaches are used for our study. Analytically, we adopt the linear tidal torque model to evaluate the void spin-...

ar X iv : m at h / 06 03 57 0 v 1 [ m at h . A P ] 2 4 M ar 2 00 6 NONLOCAL FIRST - ORDER HAMILTON - JACOBI EQUATIONS MODELLING DISLOCATIONS DYNAMICS

We study nonlocal first-order equations arising in the theory of dislocations. We prove the existence and uniqueness of the solutions of these equations in the case of positive and negative velocities, under suitable regularity assumptions on the initial data and the velocity. These results are based on new L 1-type estimates on the viscosity solutions of first-order Hamilton-Jacobi Equations a...

ar X iv : h ep - p h / 06 08 05 0 v 1 4 A ug 2 00 6 Percolation and high energy cosmic rays above 10 17 eV

ar X iv : m at h / 06 11 11 0 v 1 [ m at h . C A ] 4 N ov 2 00 6 DOUBLING MEASURES , MONOTONICITY , AND QUASICONFORMALITY

We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that arise in this way satisfy an isotropic form of the doubling condition. We prove that this isotropic doubling condition is satisfied by the distance functions of certain fractal sets. Finally, we construct an isotropic...

ar X iv : h ep - t h / 06 03 12 5 v 1 1 5 M ar 2 00 6 hep - th / 0603125 ITP – UH – 05 / 06 Noncommutative Instantons on C

We construct explicit solutions of the Hermitian Yang-Mills equations on the noncommutative space C θ . In the commutative limit they coincide with the standard instantons on CP written in local coordinates.