tag:blogger.com,1999:blog-1352688022620133175.post1393453796366187245..comments2016-08-13T13:08:25.620+01:00Comments on The NAG Blog: Lawrence intro / Painleve equationsKatie O'Harehttp://www.blogger.com/profile/09366741271809330805noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-1352688022620133175.post-57465359238290506872010-03-15T09:45:36.495+00:002010-03-15T09:45:36.495+00:00Thanks Alex for the addition information.
One of ...Thanks Alex for the addition information.<br /><br />One of the reasons I will be there is to find out about the application areas for these equations. The more areas there are the more I can build up a case for NAG getting involved in collaborative projects on developing library grade software in this field.Lawrence Mulhollandhttp://www.blogger.com/profile/01045459211178088315noreply@blogger.comtag:blogger.com,1999:blog-1352688022620133175.post-71224347603907700282010-03-15T01:59:03.776+00:002010-03-15T01:59:03.776+00:00Dear Lawrence,
I'm also attending the worksho...Dear Lawrence,<br /><br />I'm also attending the workshop.<br />Thanks for the link to Clarkson's slides.<br />Folkmar Bornemann has done lovely recent work using Fredholm determinants to evaluate PDFs arising in random matrix theory that are usually evaluated via Painleve ODEs:<br /><br />http://arxiv.org/abs/0904.1581<br /><br />So, random matrices (which have lots of apps in quantum physics and statistics) are the main area I have come across Painleve. But, I think we'll enjoy learning some other connections we didn't know about...<br /><br />Cheers, Alexalex barnetthttp://math.dartmouth.edu/~ahbnoreply@blogger.comtag:blogger.com,1999:blog-1352688022620133175.post-13288298476128880612010-01-18T08:56:51.121+00:002010-01-18T08:56:51.121+00:00I'm new to these too.The objectives set out fo...I'm new to these too.<br>The objectives set out for the Edinburgh Workshop states the following: <br><br>"people are finding that the solutions to an extraordinarily broad array of scientific problems, from neutron scattering theory, to PDEs, to transportation problems, to combinitorics, etc, can be expressed in terms of Painleve transcendents."<br><br>One of the main driving forces of the research in this area seems to be Professor Peter Clarkson at the University of Kent:<br>http://www.kent.ac.uk/ims/staff/pac3/<br><br>I have started by reading his lengthy presentation:<br>http://www.ima.umn.edu/talks/workshops/7-22-8-2-2002/clarkson/SF02L.ps<br><br>I found the relation to soliton solutions of well-known nonlinear wave equations illuminating.Lawrence Mulhollandhttp://www.blogger.com/profile/01045459211178088315noreply@blogger.comtag:blogger.com,1999:blog-1352688022620133175.post-45295125432556568472010-01-15T16:24:49.503+00:002010-01-15T16:24:49.503+00:00I've never heard of them to be honest. What s...I've never heard of them to be honest. What sort of applications do they have?Mike Croucherhttp://www.walkingrandomly.comnoreply@blogger.com