We study the large exceedance probabilities and large exceedance paths of the recursive sequence Vn = Mn Vn−1 + Qn, where {(Mn, Qn)} is an i.i.d. sequence, and M1 is a d × d random matrix and Q1 is a ...

ABSTRACT: Difference equations or discrete dynamical systems is diverse field whose impact almost every branch of pure and ap- plied mathematics. Every dynamical system an+1=f(an) determines a ...

Because recursive sequence generation applying this bracket protocol has been tested exclusively in primate species so far, the implied assumption is that the ability to track syntactic relationships ...

Recursion -- the computational capacity to embed elements within elements of the same kind -- has been lauded as the intellectual cornerstone of language, tool use and mathematics. A ...

Abstract: Consideration is given to the design and application of a recursive algorithm to a sequence of images of a moving object to estimate both its structure and kinematics. The object is assumed ...

1 Department of Psychology, University of Connecticut, Storrs, CT, USA 2 Haskins Laboratories, New Haven, CT, USA In this study, we aim to elucidate the process of recursion learning. We therefore ...

ABSTRACT: Difference equations or discrete dynamical systems is diverse field whose impact almost every branch of pure and ap- plied mathematics. Every dynamical system an+1=f(an) determines a ...