In two recent publications, [Commun. PDE 22, 307–335 (1997), Commun. Math. Phys. 203, 1–19 (1999)], A. Komech, M. Kunze and H. Spohn studied the joint dynamics of a classical point particle and a wave type generalization of the Newtonian gravity potential, coupled in a regularized way. In the present paper the many-body dynamics of this model is studied. The Vlasov continuum limit is obtained i...

In two recent publications, [Commun. PDE 22, 307–335 (1997), Commun. Math. Phys. 203, 1–19 (1999)], A. Komech, M. Kunze and H. Spohn studied the joint dynamics of a classical point particle and a wave type generalization of the Newtonian gravity potential, coupled in a regularized way. In the present paper the many-body dynamics of this model is studied. The Vlasov continuum limit is obtained i...

By the Suslinian number Sln(X) of a continuum X we understand the smallest cardinal number κ such that X contains no disjoint family C of non-degenerate subcontinua of size |C| ≥ κ. For a compact space X, Sln(X) is the smallest Suslinian number of a continuum which contains a homeomorphic copy of X. Our principal result asserts that each compact space X has weight ≤ Sln(X)+ and is the limit of ...

Assuming Active Galactic Nuclei are powered by accretion onto a massive black hole we suggest that the growth of the central black hole mass due to the matter accreted over the AGN lifetime causes evolution of the luminosity and spectrum. We show that the effective temperature of the UV continuum spectrum is likely to be anti-correlated with the black hole mass and with the luminosity. We estim...

We suggest that the growth of the central black hole in active galactic nuclei (AGN) due to the matter accreted over the AGN lifetime causes an evolution of the luminosity and spectrum. In a previous paper we have shown that the effective temperature of the UV continuum spectrum and the emission-lineequivalent width are anti-correlated with the black-hole mass. Here we estimate the change in th...

We identify conditions for separating signaling equilibria where attributes are randomly related to costs. Under discrete attributes, a necessary and sufficient condition is the ordering of the cost distributions conditional on attributes by the Monotone Likelihood Ratio Property (MLRP). An equivalent condition is the monotone ordering of the cost elasticities of these distributions. Under a co...

The infrared dynamics in the (3 + 1)–dimensional supersymmetric and non–supersymmetric Nambu–Jona–Lasinio model in a constant magnetic field is studied. While at strong coupling the dynamics in these two models is essentially different, it is shown that the models become equivalent at weak coupling. In particular, at weak coupling, as the strength of the magnetic field goes to infinity, both th...

The near-critical behavior of (d = 3)-dimensional Ising-model ferromagnets or simple lattice gases with equivalent first, second, and third nearest-neighbor interactions is studied through Monte Carlo simulations using histogram reweighting techniques and comparisons with series expansions. By carefully analyzing numerical data from relatively small finite systems using scaling and extrapolatio...