We investigate the dynamical behavior in the large scale region of non-equilibrium systems , by employing data on the assessed value of land in 1983 – 2006 Japan. In the system we find the detailed quasi-balance, which has the symmetry: x 1 ↔ a x 2 θ (x 1 and x 2 are two successive land prices). By using the detailed quasi-balance and Gibrat's law, we derive Pareto's law with varying Pareto ind...

We present a game-theoretic account of irrational agent behavior and define conditions under which irrational behavior may be considered quasi-rational. To do so, we use a 2-player, zero-sum strategic game, parameterize the reward structure and study how the value of the game changes with this parameter. We argue that for any “underdog” agent, there is a point at which the asymmetry of the game...

Under certain conditions, we give an estimate from above on the number of differential equations of order r+1 with prescribed regular singular points, prescribed exponents at singular points, and having a quasi-polynomial flag of solutions. The estimate is given in terms of a suitable weight subspace of the tensor power U(n−) , where n is the number of singular points in C and U(n−) is the enve...

We describe a method for computing the highest degree coefficients of a weighted Ehrhart quasi-polynomial for a rational simple polytope.

In this note the stability of a second-order quasi-polynomial with a single delay is studied. Although there is a vast literature on this problem, most available solutions are limited to some particular cases. Moreover, some published results on this subject appear to contain imprecise, or even wrong, conditions. The purpose of this note is to show that by accurate application of known theories...

In investigating homotopy equivalences of smooth G-manifolds where G is a compact Lie group, Pétrie [3], [4], [5] makes use of proper G-maps of degree 1 from one G-module to another of the same complex dimension. The first nontrivial example of such a map, called a quasi-equivalence, was given by Pétrie [6] for two-dimensional S -modules. Necessary and sufficient conditions for the existence of...

Quasiquotation is the technology commonly used in Lisp to write program generating programs In this paper I will review the history and development of this technology and explain why it works so well in practice

This note contains two types of small ball estimates for random vectors in finite dimensional spaces equipped with a quasi-norm. In the first part, we obtain bounds for the small ball probability of random vectors under some smoothness assumptions on their density function. In the second part, we obtain Littlewood-Offord type estimates for quasi-norms. This generalizes a result which was previo...

For n > 2, let G(n) denote the two-fold covering group of SO.(l,n). Incase n > 3, G(n) is isomorphic to Spin(l, n) and is simply connected. In a previous paper we determined all the irreducible quasi-simple representations of these groups, up to infinitesimal equivalence. The main purpose of the present paper is to determine which of these representations are unitarizable. Thus, with the aid of...