This collection of reprints covers the main contributions of David Ruelle, and co-authors, to the theory of chaos and its applications. It contains mathematical articles relevant to chaos, specific articles on the theory and articles on applications such as hydrodynamical turbulence.
This collection of reprints covers the main contributions of David Ruelle, and co-authors, to the theory of chaos and its applications. It contains ma...
Consider a space $M$, a map $f:M o M$, and a function $g:M o {mathbb C}$. The formal power series $zeta (z) = exp sum ^infty_{m=1} frac {z^m} sum_{x in mathrm ,f^m} prod ^{m-1}_{k=0} g (f^kx)$ yields an example of a dynamical zeta function. Such functions have unexpected analytic properties and interesting relations to the theory of dynamical systems, statistical mechanics, and the spectral theory of certain operators (transfer operators). The first part of this monograph presents a general introduction to this subject. The second part is a detailed study of the zeta functions...
Consider a space $M$, a map $f:M o M$, and a function $g:M o {mathbb C}$. The formal power series $zeta (z) = exp sum ^infty_{m=1} frac {z^m} sum...
