The Dynamics of Off-center Reflection

The dynamical properties, especially the symmetric orbits, of the 2-parameter family of circle maps called off-center reflection is studied.Comment: 15 pages, 11 figures, AMS-LaTeX, revised version, no offset proble

Subadjunction of log canonical divisors II

We extend a subadjunction formula of log canonical divisors as in [K3] to the case when the codimension of the minimal center is arbitrary by using the positivity of the Hodge bundles.Comment: 15 pages, AMS-Te

Rhombus Tilings of a Hexagon with Two Triangles Missing on the Symmetry Axis

We compute the number of rhombus tilings of a hexagon with sides n, n, N, n, n, N, where two triangles on the symmetry axis touching in one vertex are removed. The case of the common vertex being the center of the hexagon solves a problem posed by Propp.Comment: 16 pages, AmS-LaTeX, uses TeXDra

Dipole-interacting Fermionic Dark Matter in positron, antiproton, and gamma-ray channels

Cosmic ray signals from dipole-interacting dark matter annihilation are considered in the positron, antiproton and photon channels. The predicted signals in the positron channel could nicely account for the excess of positron fraction from Fermi LAT, PAMELA, HEAT and AMS-01 experiments for the dark matter mass larger than 100 GeV with a boost (enhancement) factor of 30-80. No excess of antiproton over proton ratio at the experiments also gives a severe restriction for this scenario. With the boost factors, the predicted signals from Galactic halo and signals as mono-energetic gamma-ray lines (monochromatic photons) for the region close to the Galactic center are investigated. The gamma-ray excess of recent tentative analyses based on Fermi LAT data and the potential probe of the monochromatic lines at a planned experiment, AMS-02, are also considered.Comment: Version to be published in PRD(2013), Title changed, text modifie