Chaotic fluctuations in mathematical economics

Mathematical Models in Economics

Gaussian Fluctuations in Chaotic Eigenstates

We study the fluctuations that are predicted in the autocorrelation function of an energy eigenstate of a chaotic, two-dimensional billiard by the conjecture (due to Berry) that the eigenfunction is a gaussian random variable. We find an explicit formula for the root-mean-square amplitude of the expected fluctuations in the autocorrelation function. These fluctuations turn out to be O(h̄) in the...

Mathematical Models in Economics

The chapter provides a concise discussion of the role of mathematics in economic theory. After a brief overview of the main applications of the mathematical methods to economic problems, the chapter focuses on general equilibrium theory in its atemporal and intertemporal versions and discusses the concepts of equilibrium and dynamics in natural sciences and economics. In this context, business ...

Mathematical Models in Regional Economics

This chapter reviews the evolution of mathematical and statistical models that have been used for the development of theory and policy analysis in regional economics. The benefits of mathematical approaches are outlined. Theories and estimation techniques have developed in tandem with developments in the availability of geo-referenced data, new technologies and particularly computing power. Reg...

Mathematical Models in Spatial Economics