A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples. In recent years a number of methods have been devised to computeâ€¦ (More)

We prove that in the high temperature regime (T/J > 1) the deviation of the total free energy of the Sherrington-Kirkpatrick (S-K) spin glass model from the easily computed logAv(ZN({Î²J})) convergesâ€¦ (More)

Abstract. A dynamical zeta function Î¶ and a transfer operator L are associated with a piecewise monotone map f of the interval [0, 1] and a weight function g. The analytic properties of Î¶ and theâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

2003

We study the nonequilibrium statistical mechanics of a finite classical system subjected to nongradient forces xi and maintained at fixed kinetic energy (Hoover-Evans isokinetic thermostat). Weâ€¦ (More)

C ertain generating functionsâ€”encoding properties of objects like prime numbers, periodic orbits, ...â€”have received the name of zeta functions. They are useful in studying the statistical propertiesâ€¦ (More)

We introduce a sharp trace Tr # M and a sharp determinant Det # (1 ? zM) for an algebra of operators M acting on functions of bounded variation on the real line. We show that the zeroes of the sharpâ€¦ (More)