Resonances of the cusp family

We study a family of chaotic maps with limit cases the tent map and the cusp map (the cusp family). We discuss the spectral properties of the corresponding Frobenius--Perron operator in different function spaces including spaces of analytic functions. A numerical study of the eigenvalues and eigenfunctions is performed.Comment: 14 pages, 3 figures. Submitted to J.Phys.

Operator interpretation of resonances generated by some operator matrices

We consider the analytic continuation of the transfer function for a 2x2 matrix Hamiltonian into the unphysical sheets of the energy Riemann surface. We construct a family of non-selfadjoint operators which reproduce certain parts of the transfer-function spectrum including resonances situated on the unphysical sheets neighboring the physical sheet. On this basis, completeness and basis properties for the root vectors of the transfer function (including those for the resonances) are proved.Comment: LaTeX, 15 pages, no figures; Contribution to Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, August 18-22, 199

Difference equations and boundary value problems

We study multidimensional difference equations with a continual variable in the Sobolev-Slobodetskii spaces. Using ideas and methods of the theory of boundary value problems for elliptic pseudo-differential equations, we suggest to consider certain boundary value problems for such difference equation

A New U.S.-U.S.S.R. Seismological Program

On July 9, 1986, a team of researchers from the University of California, San Diego; University of Nevada, Reno; and the University of Colorado, Boulder established the first of three seismic stations to be located in the vicinity of the Soviet nuclear test site in eastern Kazakhstan (KTS) (see cover). Under an agreement reached between the Soviet Academy of Sciences and the Natural Resources Defense Council, a nonprofit U.S. environmental organization, these stations, which are configured to meet the specifications of the proposed new global seismographic network [Incorporated Research Institutions for Seismology (IRIS), 1984], will be complemented by three similarly equipped stations to be installed in the vicinity of the U.S. nuclear test site in southern Nevada (NTS). The stations are to be operated cooperatively by Soviet and U.S. personnel (Figure 1)

Capital Structure and Oligarch Ownership

This study examines the effects of oligarch ownership on corporate capital structures. Using panel data from Ukraine, I find that oligarch-owned companies employ significantly more debt and liabilities than their peers. However, there is no direct relation between oligarch ownership and target capital structure. Whereas the determinants of target leverage are similar across all owners, differences in firm characteristics also have a fairly small effect. I show that larger leverage is due to better access to debt, which results in lower rebalancing costs and faster restructurings of oligarch-owned companies. The findings clearly suggest that oligarchs benefit from the accumulated advantages