When a complex system is left alone, it will return to its initial state with almost perfect precision. Gas particles in a container, for example, will return almost exactly to their starting ...

Let T be a bounded linear operator acting on a complex Banach space X and (λn)n∈N a sequence of complex numbers. Our main result is that if |λn|/|λn+1| → 1 and the sequence (λnTn)n∈N is frequently ...

It is one of the most astonishing results of physics: when a complex system is left alone, it will return to its initial state with almost perfect precision. Gas particles, for example, chaotically ...