Organisers: MV Berry (Bristol), CJ Howls (Manchester), MD Kruskal (Rutgers), FWJ Olver (Maryland)
Although quantities which are exponentially small are important and arise frequently in applications, until recently the mathematical literature about them has been sparse. One reason could be Poincare's definition of an asymptotic expansion, which although introducing rigour, did so in a way which was not sufficiently refined to deal with small exponentials. Now there is an upsurge in interest in the subject and a central new concept, resurgence, has emerged which describes how small exponentials are responsible for the divergences of asymptotic series. Resurgence enables the divergent tails to be decoded (for example by resummation) to yield these exponentials. New mathematical techniques are being developed as well as new areas of application, for example pattern formation in fluids, chaos in classical and quantum mechanics, and even philosophy. The aim of the programme is to foster a common culture, based on the recognition that (as with chaos in the 1970s) the problems being studied are essentially the same despite differences of language and approach.
In addition to the research activities of the participants there will be a series of seminars and workshops to widen the appeal to outside visitors. The following meetings are planned:
Hyperasymptotics Wednesday 22nd February
Topics: Hyperasymptotics for integrals and differential equations, practical implementation of the method.
Deadlines: Talk applications 25th January, abstracts and participation 1st February.
Connection Problems and WKB Analysis 14th-16th March
Topics: Physical applications of exponential asymptotics, WKB/Liouville-Green analysis, connection probems, Stokes multipliers, Painleve equations, singular perturbation theory, exact quantum mechanics, perturbation field theory.
Deadlines: Talk applications 14th February, abstracts and participation 28th February.
Asymptotic Analysis 4th-6th April
Topics: Applications of exponential asymptotics, Stokes phenomena, high order expansions, singular perturbation theory, ODEs (linear and nonlinear), integrals, eigenvalues.
Deadlines: Talk applications 7th March, abstracts and participation 21st March.
Resurgence and Non-Standard Asymptotic Analysis 19th-20th April
Topics: Resurgence theory, non-standard asymptotic analysis.
Deadlines: Talk applications 21st March, abstracts and participation 4th April.
Topics: Semiclassical spectra, eigenvalue asymptotics, chaotic systems.
Deadline: Talk applications 13th April, abstracts and participation 27th April.
Summary Meeting week of 19th June
Topics: To be announced
More detailed lists of speakers at these meetings will be confirmed on separate posters. We invite both current and potential participants to submit papers to the organisers via Dr. Chris Howls at the address given below. In addition to a weekly seminar programme, we hope to advertise further lectures in due course.
Stokes Commemoration Meeting
There will be a Stokes Commemoration Meeting on 9-10th June 1995 in Sligo, Ireland. People wishing to attend this event should contact directly Professor A. Wood, Stokes Conference, School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland, phone +353 1 7045293, fax +353 1 7045786.
The following people have been invited to participate during the weeks shown. Financial support is now quite limited. However enquiries are always welcomed, especially from postdoctoral workers and self-supporting participants.
Aoki, T (27 Feb-24 Mar) Joshi, N (9 Jan-30 Jun) Baesens, C (16 Jan-27 Jan) Joye, A (15 Jan-28 Jan) Bender, C (5 Jun-30 Jun) Kawai, T (27 Feb-1 Apr) Bogomolny, E (1 May-2 Jun) Keating, J (22 May-9 Jun) Boyd, W (20 Feb-14 Apr) Kruskal, M (1 Jan-30 Jun) Braaksma, B (15 Jan-27 Jan) Lochak, P (17 Apr-12 May) Braaksma, BLJ(27 Feb-17 Mar) Lutz, D (8 Jan-30 Jan) Costin, O (25 Mar-14 Apr) Majima, H (27 Feb-24 Mar) Delabaere, E (20 Feb-17 Mar) McLeod, J (1 Apr-14 Apr) Diener, F (10 Apr-6 May) Mulholland, A (16 Jan-27 Jan) Diener, M (24 Apr-20 May) Nikishov, A (3 Apr-26 May) Dunster, T (2 Jan-30 Jun) Odlyzko, A (20 Mar-31 Mar) Fröman, N (6 Feb-31 Mar) Ohyama, Y (27 Feb-24 Mar) Fröman, P (6 Feb-31 Mar) Olde Daalhuis, A(9Jan-30Jun) Giller, S (5 Jun-30 Jun) Olver, F (11 Jan-30 Jun) Goldhaber, A (15 Mar-30 Jun) O'Malley, R (2 Jan-30 Jun ) Guttman, A (1 May-19 May) Paris, R (20 Mar-14 Apr) Hakim, V (17 Apr-5 May) Pham, F (17 Apr-30 Apr) Howls, C (2 Jan-30 Jun) Ritus, V (3 Apr-26 May) Hu, J (5 Jun-30 Jun) Sacchetti, A (16 Jan-27 Jan) Jaksic, V (6 Feb-3 Mar) Salvy, B (2 Jan-31 Jan) Jones, D (20 Mar-14 Apr) Schafke, R (17 Apr-12 May) Shatalov, V (17 Apr-31 May) Silverstone, H (6 Mar-13 Apr) Slavyanov, S (15 Jan-15 May) Solov'ev, E (1 May-30 Jun) Spigler, R (3 Apr-21 Apr) Sternin, B (17 Apr-31 May) Tajima, S (27 Feb-24 Mar) Takasaki, K (20 Mar-9th Apr) Takei, Y (27 Feb-24 Mar) Tanveer, S (23 Apr-7 Jun) Temme, N (2 Jan-31 Jan) Tovbis, A (8 May-30 Jun) Ursell, F (5 Jun-30 Jun) van den Berg, I (17 Apr-9 Jun) Voros, A (27 Mar-22 Apr) Wei, J (16 Jan-27 Jan) Weniger, E (15 Jan-27 Jan) Wickham, G (5 Jun-30 Jun) Wong, R (11 Jun-24 Jun) Wood, A (17 Apr-30 Apr) Yngve, S (1 Jun-30 Jun) Zinn-Justin, J(13 Mar-31 Mar)
Subscribe for the latest updates on events and news
INI is a creative collaborative space which is occupied by up to fifty-five mathematical scientists at any one time (and many more when there is a workshop). Some of them may not have met before and others may not realise the relevance of other research to their own work.
INI is especially important as a forum where early-career researchers meet senior colleagues and form networks that last a lifetime.
Here you can learn about all activities past, present and future, watch live seminars and submit your own proposals for research programmes.
Within this section of the website you should find all the information required to arrange and plan your visit to the Institute. If you have any further questions, or are unable to find the information you require, please get in touch with the relevant staff member or our Reception team via our contact pages.
INI and its programme participants produce a range of publications to communicate information about activities and events, publish research outcomes, and document case studies which are written for a non-technical audience. You will find access to them all in this section.
The Isaac Newton Institute aims to maximise the benefit of its scientific programmes to the UK mathematical science community in a variety of ways.
Whether spreading research opportunities through its network of correspondents, offering summer schools to early career researchers, or hosting public-facing lectures through events such as the Cambridge Festival, there is always a great deal of activity to catch up on.
Find out about all of these endeavours in this section of the site.
There are various ways to keep up-to-date with current events and happenings at the Isaac Newton Institute. As detailed via the menu links within this section, our output covers social media streams, news articles, a regular podcast series, an online newsletter, and more detailed documents produced throughout the year.
“A world famous place for research in the mathematical sciences with a reputation for efficient management and a warm welcome for visitors”
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
INI has a vital national role, building on many strengths that already exist in UK universities, aiming to generate a new vitality through stimulating and nurturing research throughout the country.During each scientific programme new collaborations are made and ideas and expertise are exchanged and catalysed through lectures, seminars and informal interaction, which the INI building has been designed specifically to encourage.
For INI’s knowledge exchange arm, please see the Newton Gateway to Mathematics.
The Institute depends upon donations, as well as research grants, to support the world class research undertaken by participants in its programmes.
Fundraising activities are supported by a Development Board comprising leading figures in academia, industry and commerce.
Visit this section to learn more about how you could play a part in supporting INI’s groundbreaking research.
In this section you can find contact information, staff lists, maps and details of how to find INI’s main building in Cambridge.
Our administrative staff can help you with any queries regarding a prospective or planned visit. If you would like to discuss a proposed a research programme or other event, our senior management team will be happy to help.