The compact support property for measure-valued processes

The purpose of this article is to give a rather thorough understanding of the compact support property for measure-valued processes corresponding to semi-linear equations of the form $$\begin{aligned}& u_t=Lu+\beta u-\alpha u^p \text{in} R^d\times (0,\infty), p\in(1,2]; &u(x,0)=f(x) \text{in} R^d; &u(x,t)\ge0 \text{in} R^d\times[0,\infty). \end{aligned}$$ In particular, we shall investigate how the interplay between the underlying motion (the diffusion process corresponding to $L$) and the branching affects the compact support property. In \cite{EP99}, the compact support property was shown to be equivalent to a certain analytic criterion concerning uniqueness of the Cauchy problem for the semi-linear parabolic equation related to the measured valued process. In a subsequent paper \cite{EP03}, this analytic property was investigated purely from the point of view of partial differential equations. Some of the results obtained in this latter paper yield interesting results concerning the compact support property. In this paper, the results from \cite{EP03} that are relevant to the compact support property are presented, sometimes with extensions. These results are interwoven with new results and some informal heuristics. Taken together, they yield a rather comprehensive picture of the compact support property. \it Inter alia\rm, we show that the concept of a measure-valued process \it hitting\rm a point can be investigated via the compact support property, and suggest an alternate proof of a result concerning the hitting of points by super-Brownian motion

A Spatial Decision Support System for Property Valuation

May 6-

Equicontinuous Families of Markov Operators in View of Asymptotic Stability

Relation between equicontinuity, the so called e property and stability of Markov operators is studied. In particular, it is shown that any asymptotically stable Markov operator with an invariant measure such that the interior of its support is nonempty satisfies the e property

Connected Lie groups and property RD

For a locally compact group, property RD gives a control on the convolution norm of any compactly supported measure in terms of the $L^2$-norm of its density and the diameter of its support. We give a complete classification of those Lie groups with property RD.Comment: 29 page

Who Wants to Revise Privatization and Why? Evidence from 28 Post-Communist Countries

A 2006 survey of 28,000 individuals in 28 post-communist countries reveals overwhelming public support for the revision of privatization in the region. A majority of respondents, however, favors a revision of privatization that ultimately leaves firms in private hands. We identify which factors influence individuals’ support for revising privatization and explore whether respondents’ views are driven by a preference for state property or a concern for the fairness of privatization. We find that human capital poorly suited for a market economy with private ownership and a lack of privately owned assets increase support for revising privatization with the primary reason being a preference for state over private property. Economic hardships during transition and work in the state sector also increase support for revising privatization, but mainly due to the perceived unfairness of privatization. The effects of human capital and asset ownership on support for revising privatization are independent of a countries’ institutional environment. In contrast, good governance institutions amplify the impact of positive and negative transition experiences on attitudes toward revising privatization. In countries with low inequality,individuals with positive and negative transition experiences hold significantly different views about the superiority of private property, but this difference is much smaller in countries with high inequality.privatization, revision, nationalization, property rights, demand for property rights, legitimacy of property rights, transition