My talk will be divided into two parts: In the first I will present a novel

measure of chaotic scattering amplitudes. For chaotic scattering the distribution function is given

by the β-ensemble of random matrix theory (RMT). We show that amplitudes of one highly

excited string (HES) state with two or three scalars in open bosonic string theory admit

this behavior. Quite remarkably this measure applies also to the distributin of non-trivial

zeros of the Riemann zeta function.

The second part will be about deterministic Chaos in Integrable Models. We present

analytical and numerical evidences that classical integrable models possessing infinitely many

degrees of freedom exhibit some features that are typical of chaotic systems. We investigate

this phenomenon in the explicit examples of the KdV equation and the sine-Gordon model

and further provide general arguments supporting this statement

## Dates:

## Localisation / Location:

## Salle / Local:

- Séminaire

## Nom/Prénom // Last name/First name:

## Affiliation:

## Equipe(s) organisatrice(s) / Organizing team(s):

- Théorie