The Anderson-Moore algorithm provides a well-established solution method for forward-looking linear rational expectations models. It is widely used at the Federal Reserve Board for a variety of purposes, ranging from simulations of macroeconometric models to computations based on models of...

Integral identities for particular Bloch functions in finite periodic systems are derived. All following statements are proven for a finite domain consisting of an integer number of unit cells. It is shown that matrix elements of particular Bloch functions with respect to periodic differential...

The time–displacement operator for Hamiltonian dynamical systems M(t|t0) is a symplectic transformation — Lie map. Any truncated Lie map (Lie approximant) loses the very important symplectic property.

This report presents a method of constructing approximate symmetries and invariants in dynamical systems. At first, a similar approach was developed for linear systems (for example, the time-dependent invariants by Leach and Lewis). Beam line systems are considered as an example of such...

We propose definitions of QAC^0, the quantum analog of the classical class AC^0 of constant-depth circuits with AND and OR gates of arbitrary fan-in, and QACC^0[q], where n-ary Mod-q gates are also allowed. We show that it is possible to make a `cat' state on n qubits in constant depth if and...