Abstract We study the possible dynamical degrees of automorphisms affine space $\mathbb {A}^n$ . In dimension $n=3$ , we determine all arising from composition an automorphism with a triangular one. This generalizes easier case shift-like which can be studied in any dimension. also prove that each weak Perron number is degree affine-triangular for some n and give best quadratic integers, either...

We obtain Drinfeld second realization of the quantum affine superalgebras associated with the affine Lie superalgebra D(1)(2, 1;x). Our results are analogous to those obtained by Beck for the quantum affine algebras. Beck’s analysis uses heavily the (extended) affine Weyl groups of the affine Lie algebras. In our approach the structures are based on a Weyl groupoid. Preprint numbers: MIT-CTP 38...

Abstract We present new results on the computational limitations of affine automata (AfAs). First, we show that using endmarker does not increase power AfAs. Second, computation bounded-error rational-valued AfAs can be simulated in logarithmic space. Third, identify some logspace unary languages are recognized by algebraic-valued Fourth, arbitrary real-valued transition matrices and state vect...

This paper proposes a simple approach to the affine motion interpolation problem, where an affine spline motion is generated that interpolates a given sequence of affine keyframes and satisfies approximately rigidity constraints and certain optimization criteria. An affine spline motion is first generated so as to interpolate the given keyframes; after that, it is progressively refined via knot...