Banach Random Walk in the Unit Ball $$S\subset l^{2}$$ S ⊂ l 2 and Chaotic Decomposition of $$l^{2}\left( S,{{\mathbb {P}}}\right) $$ l 2 S , P

Random Matrix Theory and L - Functions at s = 1 / 2

Recent results of Katz and Sarnak [8,9] suggest that the low-lying zeros of families of L-functions display the statistics of the eigenvalues of one of the compact groups of matrices U(N), O(N) or USp(2N). We here explore the link between the value distributions of the L-functions within these families at the central point s = 1/2 and those of the characteristic polynomials Z(U, θ) of matrices ...

Quantum effective potential for U ( 1 ) fields on S 2 L × S 2 L

We compute the one-loop effective potential for noncommutative U (1) gauge fields on S 2 L ×S 2 L. We show the existence of a novel phase transition in the model from the 4−dimensional space S 2 L ×S 2 L to a matrix phase where the spheres collapse under the effect of quantum fluctuations. It is also shown that the transition to the matrix phase occurs at infinite value of the gauge coupling co...

L μ − L τ − L s Symmetry and a Mixed 2 + 2 Scenario for Neutrino Oscillations

Recent results from SuperKamiokande and SNO experiments have set severe constraints on possible mixings of a light sterile neutrino, νs, with the three active species required for a simultaneous explanation of the solar, atmospheric and LSND neutrino oscillation data. A consistent scheme has emerged from a global analysis of the data wherein two of the neutrinos are nearly degenerate with a mas...

The L 2 geometry of spaces of harmonic maps S 2 → S

Random forcing and ( S ) and ( L ) ∗

In this article I will analyze the impact of forcing with a measure algebra on various topological statements. In particular our interest will focus on the study of hereditary separability and the hereditary Lindelöf property in the classes of compact, extremally disconnected, and cometrizable spaces.