The main difficulties in constructing a viable early Universe bouncing model are: to bypass the observational and theoretical no-go theorem, construct stable non-singular phase, perhaps, major concern of it is attractor solution which can evade Belinsky–Khalatnikov–Lifshitz (BKL) instability as well. In this article, homogeneous isotropic background, we extensively study stability analysis rece...

A new class of near-rational sunspot equilibria is identified in economies expressed as non-linear forward-looking models. The new equilibria are natural extensions of the usual sunspot equilibria associated to the linearized version of the economy, and are near-rational in that agents use the optimal linear forecasting model when forming expectations. A generic existence result is established....

For a linear model with multiple rational expectations equilibria (REE) we discuss the set of possible REE. Solutions include (i) locally unique minimal state variable solutions. taking an AR(I) form and (ii) continua of solutions which may depend on sunspots. We analyze the convergence of econometric learning to the different REE. There exist cases with more than one stable AR(l) solution. It ...

In this paper, we study the minimal model theory for threefolds in mixed characteristic. As a generalization of result Kawamata, show that program (MMP) holds strictly semi-stable schemes over an excellent Dedekind scheme V <mml:annotation enco...