Rational group ring elements with kernels having irrational dimension

On group Elements Having Square Roots

on group elements having square roots

Rational and Irrational Bubbles

Financial Fragility with Rational and Irrational Exuberance

This article formalizes investor rationality and irrationality, exuberance and apprehension, to consider the implications of belief formation for the fragility of an economy’s financial structure. The model presented generates a financial structure with portfolio linkages that make it susceptible to contagious financial crises, despite the absence of coordination failures. Investors forecast th...

Learning Languages with Rational Kernels

We present a general study of learning and linear separability with rational kernels, the sequence kernels commonly used in computational biology and natural language processing. We give a characterization of the class of all languages linearly separable with rational kernels and prove several properties of the class of languages linearly separable with a fixed rational kernel. In particular, w...