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Liouville integrability: an effective Morales-Ramis-Simo theorem – Thomas Dreyfus (Institut de Mathématiques de Toulouse)

Morales-Ramis theorem roughly states as follows: Given an Hamiltonian system, we may linearize it to obtain the variational equation. Then, we associate to the variational equation a group, the differential Galois group. Morales and Ramis have…

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Fixed points, semigroups and rigidity of holomorphic mappings – David Shoikhet (ORT College Braude, Israele)

There is a long history associated with the problem of iterating nonexpansive and holomorphic mappings and finding their fixed points, with the modern results of K. Goebel, W.-A. Kirk, T. Kuczumow, S. Reich, W. Rudin and J.-P. Vigue’ being among the…

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Piecewise contractions defined by iterated function systems – Arnaldo Nogueira (Universita’ di Aix Marseille )

We are interested in the asymptotical behavior of piecewise contractions of the interval (PCs). A map $f:[0,1)\to [0,1)$ is an {\it $n$ interval PC} if there exists a partition of the interval $[0,1)$ into subintervals $J_1,\ldots,J_n$ such that…

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