Dynamics of symmetric holomorphic maps on projective spaces

We consider complex dynamics of a critically finite holomorphic map from P^k to P^k, which has symmetries associated with the symmetric group S_{k+2} acting on P^k, for each k \ge 1. The Fatou set of each map of this family consists of attractive basins of superattracting points. Each map of this family satisfies Axiom A.Comment: 12 page

Dynamics of superattracting skew products on the attracting basins: B\"{o}ttcher coordinates and plurisubharmonic functions

We study the dynamics of a superattracting skew product $f$ on the attracting basin. As the first strategy, we find out forward $f$-invariant wedge-shaped regions in the basin, on some of which $f$ is conjugate to monomial maps, and consider whether the unions of all the preimages of the regions coincide with the basin. As the second strategy, we show the existence and properties of several kinds of plurisubharmonic functions of $f$, the main functions of which are induced from the B\"{o}ttcher coordinates, and investigate the asymptotic behavior of the functions toward the boundaries of the unions. Consequently, we obtain a plurisubharmonic function on the complement of specific fibers in the basin, which is continuous and pluriharmonic on open and dense subsets of the complement and describes an certain weighted vertical dynamics well.Comment: 45 pages,16 table

Accumulation and depletion layer thicknesses in organic field effect transistors

We present a simple but powerful method to determine the thicknesses of the accumulation and depletion layers and the distribution curve of injected carriers in organic field effect transistors. The conductivity of organic semiconductors in thin film transistors was measured in-situ and continuously with a bottom contact configuration, as a function of film thickness at various gate voltages. Using this method, the thicknesses of the accumulation and depletion layers of pentacene were determined to be 0.9 nm (VG=-15 V) and 5 nm (VG=15 V).Comment: 3 pages, 4 figures, Jap. J. Appl. Phys. in pres