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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Quicksilver solutions of a q-discrete Painlev equa
tion - Joshi\, N (University of Sydney)
DTSTART;TZID=Europe/London:20130708T093000
DTEND;TZID=Europe/London:20130708T100000
UID:TALK46130AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/46130
DESCRIPTION:Critical solutions of the classical Painlev equati
ons arise as universal limits in many nonlinear sy
stems. Their asymptotic properties have been studi
ed from several different points of view. This tal
k focusses on their discrete versions\, for which
many questions remain open.\nMuch of the activity
in this field has been concentrated on deducing th
e correct discrete\nversions of the Painlev equati
ons\, finding transformations and other algebraic
properties and describing solutions that can be ex
pressed in terms of earlier known functions\, such
as q-hypergeometric functions.\nIn this talk\, I
focus on solutions that cannot be expressed in ter
ms of earlier known functions.\nIn particular\, I
will describe solutions of the so called q-PI equa
tion\, which is a q-discrete versionof the first P
ainlev equation. The solutions I will describe are
analogous to the critical or the tritronque solut
ions\, but their complex analytic properties diffe
r. For this reason\, I propose a new name: quicksi
lver solutions and provide a glimpse into their as
ymptotic properties.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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