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<DIV><FONT face="Bitstream Vera Serif" color=#000080 size=2><EM>Inoltro avviso
di Seminario a me pervenuto.</EM></FONT></DIV>
<DIV><FONT face="Bitstream Vera Serif" color=#000080 size=2><EM>Cordiali
saluti</EM></FONT></DIV>
<DIV><FONT face="Bitstream Vera Serif" color=#000080 size=2><EM>Liviana
Paoletti</EM></FONT></DIV></FONT></DIV></FONT></DIV>
<DIV style="FONT: 10pt arial">----- Original Message -----
<DIV style="BACKGROUND: #e4e4e4; font-color: black"><B>From:</B> <A
title=giuliani@sns.it href="mailto:giuliani@sns.it">Valeria Giuliani</A> </DIV>
<DIV> </DIV>
<DIV><B>Sent:</B> Wednesday, November 09, 2011 10:04 AM</DIV>
<DIV><B>Subject:</B> avviso seminario di sistemi dinamici prof. Claire
Chavaudret (16.11.2011)</DIV></DIV>
<DIV><BR></DIV>
<DIV><FONT face=Arial size=2>
<H2 style="MARGIN: 0cm 0cm 0pt 9pt" align=center><SPAN
style="FONT-FAMILY: 'Times New Roman','serif'; mso-no-proof: yes">
<P class=MsoTitle style="MARGIN: 0cm 0cm 0pt"><SPAN
style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman','serif'"><U>SEMINARIO DI
<SPAN style="mso-no-proof: yes">SISTEMI DINAMICI</SPAN></U></SPAN></P>
<P class=MsoTitle style="MARGIN: 0cm 0cm 0pt"><SPAN
style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman','serif'"><U><SPAN
style="mso-no-proof: yes"></SPAN></U><o:p></o:p></SPAN> </P></SPAN></H2>
<H2 style="MARGIN: 0cm 0cm 0pt 9pt" align=center><SPAN
style="FONT-FAMILY: 'Times New Roman','serif'; mso-no-proof: yes">Mercoledì 16
novembre 2011</SPAN><SPAN
style="FONT-FAMILY: 'Times New Roman','serif'"><o:p></o:p></SPAN></H2>
<P class=MsoNormal
style="MARGIN: 0cm 0cm 0pt 9pt; LINE-HEIGHT: 18pt; TEXT-ALIGN: center; tab-stops: 324.0pt"
align=center><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'">ore <SPAN
style="mso-no-proof: yes">14.00</SPAN><o:p></o:p></SPAN></P>
<P class=MsoNormal
style="MARGIN: 0cm 0cm 0pt 9pt; LINE-HEIGHT: 18pt; TEXT-ALIGN: center; tab-stops: 324.0pt"
align=center><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'"><o:p> </o:p></SPAN></P>
<P class=MsoNormal
style="MARGIN: 0cm 0cm 0pt 9pt; LINE-HEIGHT: 18pt; TEXT-ALIGN: center; tab-stops: 324.0pt"
align=center><U><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'">Scuola Normale
Superiore<o:p></o:p></SPAN></U></P>
<P class=MsoNormal
style="MARGIN: 0cm 0cm 0pt 9pt; LINE-HEIGHT: 18pt; TEXT-ALIGN: center; tab-stops: 324.0pt"
align=center><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'">Pisa<o:p></o:p></SPAN></P>
<P class=MsoNormal
style="MARGIN: 0cm 0cm 0pt 9pt; LINE-HEIGHT: 18pt; TEXT-ALIGN: center; tab-stops: 324.0pt"
align=center><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'">(Aula
Mancini)<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center"
align=center><B style="mso-bidi-font-weight: normal"><SPAN
style="FONT-SIZE: 26pt; COLOR: black; FONT-FAMILY: 'Times New Roman','serif'"></SPAN></B> </P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center"
align=center><B style="mso-bidi-font-weight: normal"><SPAN
style="FONT-SIZE: 26pt; COLOR: black; FONT-FAMILY: 'Times New Roman','serif'">Claire
Chavaudret<o:p></o:p></SPAN></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center"
align=center><I style="mso-bidi-font-style: normal"><SPAN
style="FONT-SIZE: 11pt; COLOR: black; FONT-FAMILY: 'Times New Roman','serif'">Universitè
de Nice<o:p></o:p></SPAN></I></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><SPAN
style="FONT-FAMILY: 'Times New Roman','serif'"><o:p><FONT
size=3> </FONT></o:p></SPAN></P>
<P class=MsoNormal
style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: center; tab-stops: 324.0pt"
align=center><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'">Terrà<SPAN
style="mso-spacerun: yes"> </SPAN>un seminario dal
titolo:<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; tab-stops: 324.0pt"><SPAN
style="FONT-FAMILY: 'Times New Roman','serif'"><o:p><FONT
size=3> </FONT></o:p></SPAN></P><PRE style="TEXT-ALIGN: center"><B style="mso-bidi-font-weight: normal"><I style="mso-bidi-font-style: normal"><SPAN lang=EN-GB style="FONT-SIZE: 24pt; FONT-FAMILY: 'Times New Roman','serif'; mso-no-proof: yes; mso-bidi-font-family: 'Courier New'; mso-ansi-language: EN-GB">“</SPAN></I></B><B style="mso-bidi-font-weight: normal"><SPAN lang=EN-US style="FONT-SIZE: 22pt; COLOR: black; FONT-FAMILY: 'Times New Roman','serif'; mso-ansi-language: EN-US">Reducibility of quasiperiodic linear systems under a Brjuno-Rüssmann arithmetical condition</SPAN></B><SPAN class=apple-style-span><B style="mso-bidi-font-weight: normal"><SPAN lang=EN-US style="FONT-SIZE: 24pt; FONT-FAMILY: 'Times New Roman','serif'; mso-bidi-font-family: 'Courier New'; mso-ansi-language: EN-US">”</SPAN></B></SPAN><SPAN lang=EN-US style="COLOR: black; mso-ansi-language: EN-US"><o:p></o:p></SPAN></PRE>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify"><B
style="mso-bidi-font-weight: normal"><I
style="mso-bidi-font-style: normal"><SPAN lang=EN-GB
style="FONT-SIZE: 24pt; FONT-FAMILY: 'Times New Roman','serif'; mso-ansi-language: EN-GB"><o:p> </o:p></SPAN></I></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify"><B
style="mso-bidi-font-weight: normal"><I
style="mso-bidi-font-style: normal"><SPAN lang=EN-GB
style="FONT-SIZE: 11pt; FONT-FAMILY: 'Times New Roman','serif'; mso-ansi-language: EN-GB">Abstract:<o:p></o:p></SPAN></I></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify"><B
style="mso-bidi-font-weight: normal"><I
style="mso-bidi-font-style: normal"><SPAN lang=EN-GB
style="FONT-SIZE: 11pt; FONT-FAMILY: 'Times New Roman','serif'; mso-ansi-language: EN-GB"><o:p> </o:p></SPAN></I></B></P>
<P class=MsoNormal
style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt"><I
style="mso-bidi-font-style: normal"><SPAN lang=EN-US
style="FONT-SIZE: 11pt; COLOR: black; FONT-FAMILY: 'Times New Roman','serif'; mso-ansi-language: EN-US">Linear
quasiperiodic systems can have complicated dynamics, however they are well
understood in the case when they are reducible, i.e when they can be conjugated
to a system with constant coefficients. If the frequency vector of the system is
diophantine, it is known that reducibility happens most of the time. As in other
linearization problems, there is the problem of finding an optimal arithmetical
condition on the frequency vector (and, in 2-dimensional systems, on the
rotation number) which will imply reducibility. Using a slow convergence KAM
scheme, we will see a link between reducibility of 2-dimensional quasiperiodic
systems and a Brjuno condition (which is weaker than the diophantine condition)
both on the frequency vector and on the rotation number</SPAN></I><SPAN
lang=EN-US
style="FONT-SIZE: 10pt; COLOR: black; FONT-FAMILY: 'Courier New'; mso-ansi-language: EN-US">.
<o:p></o:p></SPAN></P>
<P class=MsoNormal
style="MARGIN: 0cm 0cm 0pt; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt"><SPAN
lang=EN-US
style="FONT-SIZE: 10pt; COLOR: black; FONT-FAMILY: 'Courier New'; mso-ansi-language: EN-US"><o:p> </o:p></SPAN></P>
<P class=MsoNormal
style="MARGIN: 0cm 0cm 0pt; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt"><SPAN
lang=EN-US
style="FONT-SIZE: 10pt; COLOR: black; FONT-FAMILY: 'Courier New'; mso-ansi-language: EN-US"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify"><B
style="mso-bidi-font-weight: normal"><I
style="mso-bidi-font-style: normal"><SPAN lang=EN-US
style="FONT-SIZE: 10pt; FONT-FAMILY: 'Times New Roman','serif'; mso-ansi-language: EN-US"><o:p> </o:p></SPAN></I></B></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify"><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'">Tutti gli
interessati sono invitati a partecipare.<o:p></o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify"><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify"><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'"><o:p> </o:p></SPAN></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify"><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'"><o:p> </o:p></SPAN></P>
<P class=MsoBodyText style="MARGIN: 0cm 0cm 0pt; tab-stops: 9.0cm"><SPAN
style="FONT-SIZE: 16pt; FONT-FAMILY: 'Times New Roman','serif'; mso-ansi-language: IT"><SPAN
style="mso-tab-count: 2">
</SPAN>Classe di Scienze<o:p></o:p></SPAN></P></FONT></DIV>
<DIV><FONT face=Arial
size=2>--------------------------------------------------------------------------------<BR>Valeria
Giuliani<BR>Scuola Normale Superiore<BR>Servizio Supporto Attività
Didattiche<BR>Tel. 050-509260<BR>Fax. 050-509045<BR>Piazza dei Cavalieri,
7<BR>56126 Pisa<BR>E-Mail: <A
href="mailto:v.giuliani@sns.it">v.giuliani@sns.it</A> <BR>E-Mail: <A
href="mailto:segreteria.scienze@sns.it">segreteria.scienze@sns.it</A></FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=Arial size=2>Le informazioni contenute nella presente e-mail e
nei relativi allegati possono essere riservate e sono, comunque, destinate
esclusivamente al destinatario in indirizzo.<BR>E’ vietata, pertanto, la
diffusione, distribuzione e/o copiatura di tali informazioni da parte di
qualsiasi soggetto diverso dal destinatario. <BR>Chiunque abbia ricevuto o letto
questa e-mail per errore o senza esserne legittimato è invitato a darne
immediatamente notizia al mittente tramite fax o e-mail e a
distruggerla.<BR>Grazie.</FONT></DIV>
<DIV> </DIV>
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