ar X iv : 1 71 2 . 06 07 3 v 1 [ m at h . L O ] 1 7 D ec 2 01 7 Ultrafilters , monads and combinatorial properties

ar X iv : 1 71 2 . 05 94 9 v 1 [ m at h . M G ] 1 6 D ec 2 01 7 ESTIMATES FOR MOMENTS OF GENERAL MEASURES ON CONVEX BODIES

ar X iv : 1 71 2 . 06 96 9 v 1 [ m at h . N T ] 1 9 D ec 2 01 7 THETA OPERATORS ON UNITARY SHIMURA VARIETIES

We define a theta operator on p-adic vector-valued modular forms on unitary groups of arbitrary signature, over a quadratic imaginary field in which p is inert. We study its effect on Fourier-Jacobi expansions and prove that it extends holomorphically beyond the μ-ordinary locus, when applied to scalar-valued forms.

ar X iv : h ep - l at / 0 01 20 10 v 1 7 D ec 2 00 0 1 The Vacuum Polarization : Power Corrections beyond OPE ? ∗

X iv :h ep -l at /0 01 20 10 v1 7 D ec 2 00 0 1 The Vacuum Polarization: Power Corrections beyond OPE ? ∗ M. Göckeler, R. Horsley, W. Kürzinger, V. Linke, D. Pleiter, P. E. L. Rakow and G. Schierholz Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany Deutsches Elektronen-Synchrotron DESY & NIC, D-15735 Zeuthen, Germany Institut für Physik, Humboldt-Universität...

ar X iv : 1 60 6 . 06 71 8 v 3 [ m at h . L O ] 3 1 M ay 2 01 7 ITERATING SYMMETRIC EXTENSIONS

The notion of a symmetric extension extends the usual notion of forcing by identifying a particular class of names which forms an intermediate model of ZF between the ground model and the generic extension, and often the axiom of choice fails in these models. Symmetric extensions are generally used to prove choiceless consistency results. We develop a framework for iterating symmetric extension...

ar X iv : m at h / 06 06 67 7 v 1 [ m at h . D S ] 2 7 Ju n 20 06 COMPLEX MAPS WITHOUT INVARIANT DENSITIES

We consider complex polynomials f (z) = z ℓ + c1 for ℓ ∈ 2N and c1 ∈ R, and find some combinatorial types and values of ℓ such that there is no invariant probability measure equivalent to conformal measure on the Julia set. This holds for particular Fibonacci-like and Feigenbaum combinatorial types when ℓ sufficiently large and also for a class of 'long–branched' maps of any critical order.