We present some simple examples of exponentially mixing hyperbolic suspension flows. We include some speculations indicating possible applications to suspension flows of algebraic Anosov systems. We conclude with some remarks about generalizations of our methods.

This article examines some of the recent advances in our understanding of algorithmic randomness. It also discusses connections with various areas of mathematics, computer science and other areas of science. Some questions and speculations will be discussed.

A previous evaluation of one-graviton loop corrections to the energy-momentum tensor has been extended to particles with unit spin and speculations are presented concerning general properties of such forms.

We discuss the possibility of defining an emergent local temperature in extended quantum many-body systems evolving out equilibrium. For most simple case free-fermionic systems, we give explicit formula for effective of, not necessarily unitary, Gaussian preserving dynamics. In this framework, consider hopping fermions on a one-dimensional lattice submitted to randomly distributed projective me...