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<DIV><FONT color=#000080><FONT face=Arial color=#000000 size=2>Colloqui De
Giorgi:</FONT>
<DIV> </DIV>
<DIV><FONT face=Arial size=2>Giovedì 10 aprile 2003, in aula Mancini alle ore
15:00,</FONT></DIV>
<DIV><FONT face=Arial size=2><STRONG>Prof. Hakan Eliasson</STRONG> - Parigi
VII</FONT></DIV>
<DIV><FONT face=Arial size=2>"Q</FONT><FONT face=Arial size=2>uasi-periodic
Schroedinger operators - spectral theory and dynamics"</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>Abstract: T</FONT><FONT face=Arial size=2>he
quasi-periodic schroeinger operator in one dimension has a very rich structure.
It has a spectrum that tends to be a Cantor set, and may have absolutely
cintinuous, singular continuous or pure point spectral types. From dynamical
point of view it displays both integrable and non-uniformly hyperboic
dynamics with homoclinic solutions.<BR>These operators have been intensively
studied during the last 25 years but are still far from being completely
understood.<BR></FONT></DIV></FONT></DIV>
<DIV><FONT
color=#000080>************************************************<BR>-Segreteria
Didattica-<BR>Giulia Curciarello<BR>Tel. 050-2213219</FONT></DIV>
<DIV> </DIV>
<DIV><FONT color=#000080><A
href="mailto:curciare@dm.unipi.it">curciare@dm.unipi.it</A><BR>*************************************************</FONT></DIV></BODY></HTML>