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<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>The department of
Mathematics and Statistics invites you to a seminar by our own </span></font><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'>Prof. Krzysztof Podgorski (Department of Mathematics and
Statistics, UL): <o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>---------------------------------------------------------------------------------------<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Title:&nbsp; </span></font><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'>How big are big waves? - practicing statistics on the sea surface<o:p></o:p></span></font></p>

<p><font size=2 color=navy face=Arial><span lang=EN-IE style='font-size:10.0pt;
font-family:Arial;color:navy'>Abstract:&nbsp; </span></font><font size=2
color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'>The sea surface is a classical example of stochastic field that is
evolving in time. Extreme events that are occurring on such a surface are
random and of interest for practitioners - ocean engineers are interested in
large waves and damage they may cause to an oil platform or to a ship. <o:p></o:p></span></font></p>

<p><font size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:
Arial;color:navy'>Thus data on the ocean surface elevation are constantly
collected by system of buoys, ship- or air-borne devices, and satelites all
around the globe. These vast data require statistical analysis to answer
important questions about random events of interest. For example, one can ask
about statistical distribution of wave sizes, in particular, how distributed
large waves are or how steep they are. Waves often travel in groups and a group
of waves typically causes more damage to a structure or a ship than an
individual wave even if the latter is bigger than each one in the group. So one
can be interested in how many waves there is per group or how fast groups are
traveling in comparison to individual waves. <o:p></o:p></span></font></p>

<p><font size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:
Arial;color:navy'>In the talk, a methodology that allows answer all such
questions is presented. It is based on a classical result of Rice and allows
for computation of statistical distributions of events sampled from the sea
surface. The methodology initially was applied to Gaussian sea but in fact, it
is also valid for quite general dynamically evolving stochastic surfaces. In
recent years, the focus has been shifted from the Gaussian models to more
general second order fields. These general models can account for vertical and
horizontal asymmetry of observed data as well as heavier than Gaussian tails
that are also often recorded in practice. An illustration of the impact of
``non-Gaussianity'' on the fatigue damage occurring at a simple linear
structure is presented. <o:p></o:p></span></font></p>

<p><font size=2 color=navy face=Arial><span lang=EN-IE style='font-size:10.0pt;
font-family:Arial;color:navy'>---------------------------------------------------------------------------------------</span></font><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'><o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>The seminar will take
place on <b><span style='font-weight:bold'>Friday 27<sup>th</sup> November, at
4pm</span></b>, in A2-002.<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>If you have any questions
regarding this seminar, please direct them to Sarah Mitchell (061 202259, <a
href="mailto:sarah.mitchell@ul.ie" title="blocked::mailto:sarah.mitchell@ul.ie"><font
color=navy title="blocked::mailto:sarah.mitchell@ul.ie"><span
title="blocked::mailto:sarah.mitchell@ul.ie"><span style='color:navy;
text-decoration:none'>sarah.mitchell@ul.ie</span></span></font></a>).&nbsp; A
full list of Seminars for this semester can be found at: <o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><a
href="http://www.staff.ul.ie/mitchells/MACSI_seminars.html"
title="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><font
color=navy title="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><span
title="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><span
style='color:navy'>http://www.staff.ul.ie/mitchells/MACSI_seminars.html</span></span></font></a><o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>----------------------------------------------------------------------------<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Supported by Science
Foundation Ireland Mathematics Initiative funding, MACSI - the Mathematics
Applications Consortium for Science and Industry (<a href="www.macsi.ie"
title="blocked::www.macsi.ie"><font color=navy title="blocked::www.macsi.ie"><span
title="blocked::www.macsi.ie"><span title="blocked::www.macsi.ie"><span
style='color:navy;text-decoration:none'>www.macsi.ie</span></span></span></font></a>),
centred at the University of Limerick, is dedicated to the mathematical
modelling and solution of problems which arise in science, engineering and
industry in Ireland<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>----------------------------------------------<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><img border=0 width=142
height=142 id="_x0000_i1028" src="cid:image001.jpg@01CA6EB8.41147CE0"><o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p>&nbsp;</o:p></span></font></p>

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