Entrance hall of the ICMS

Pseudospectra of operators: spectral singularities, semiclassics, pencils and random matrices

Sep 15, 2014 - Sep 19, 2014

ICMS, 15 South College Street

Organisers

Name Institution
Boulton, Lyonell Heriot-Watt University
Marletta, Marco Cardiff University

Pseudospectra of operators have been studied since the mid-1970s and during the 1990s interest in the subject grew pushed by the scientific work and personal enthusiasm of Nick Trefethen. Pseudospectra crop up in diverse areas but it is unusual to have a workshop devoted to this as a central topic but with the developments in the subject over the last decade it now feels appropriate to survey the current state of the subject, identify problems of interest and speculate on future directions.

The workshop will focus on the following topics:

  • pseudospectra, matrix polynomials and operator pencils

  • spectral singularities, evolution equations and pseudospectra

  • semiclassical and asymptotic methods for pseudospectra of differential operators

  • (structured) pseudospectra of random matrices

The workshop will feature an "open science day" on the computation of pseudospectra: real-life challenges offering scientists and engineers an opportunity to discuss issues they encounter. The workshop will also have a public lecture at 4pm on Wednesday 17th September .

Arrangements

It is anticipated that the workshop will commence with Registration on Monday morning 15 September and close around midday on Friday 19 September 2014.   Please take these timings into account when organising your travel to the workshop.

Participation
Participation is by invitation only.   Invitations were sent at the end of March. If you were expecting an invitation and have not received one please contact diane.horberry(at)icms.org.uk .

Venue
The workshop will be held at 15 South College Street, Edinburgh.  You may also find this map useful for the workshop.  All lectures will be held in the Newhaven Lecture Theatre.
The Lecture Theatre is equipped with a data projector, computer, visualiser (the new generation of overhead projectors) and two blackboards.  The projector and one board may be used simultaneously.  It is best to bring your presentation on a memory stick to use in our ICMS computer.   Alternatively, it is possible for you to use your own laptop with our data projector, but please be aware that you may have to alter your laptop resolutions/settings. 
 
Travel
Information about travel to the UK and Edinburgh is available here.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies that may occur on your trip.

A taxi directly from the airport will cost approximately 20.00 to 25.00 GBP to the city centre for a one-way journey.     There is also a bus service direct from the airport to the city centre which will cost 4.00 GBP single or 7.00 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.50 for a single, £3.50 for a day ticket. Please note that the exact fare is required and no change is given.


If travelling by train, please note that Edinburgh has three railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. (The other stations are Haymarket and Edinburgh Park at the West side of the city). 
 
UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.
Participants who require a visa for entry to the UK should contact ICMS as soon as possible.

Accommodation
Most participants will be staying at Pollock Halls of Residence:

Masson House, Pollock Halls of Residence, The University of Edinburgh, 18 Holyrood Park Road, Edinburgh EH16 5AY
0800 028 7118 (UK only) - +44 (0)131 651 2189

Pollock Halls is about a 20-25 minute walk from ICMS.

Catering
The workshop grant will cover refreshments throughout the event, lunch on three days, an informal wine reception and a workshop dinner.

Wireless Access
The workshop venue, 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network.  For those without laptops, there will also be a couple of computers available for you to check your emails. 

Registration Fee
A 70.00 GBP registration fee is payable by all.  Unfortunately, we do not yet have an on-line payment system at ICMS.   Details of how to pay will be emailed nearer the time of the workshop.  

Who to contact?
If you have any enquiries about the arrangements for this workshop, please email:    diane.horberry(at)icms.org.uk .

Programme

Monday 15 September 2014

09.00-10.00

Registration & coffee in the Chapterhouse, Level 1

10.00-11.00

Nils Dencker (Lund University)
Pseudospectra of non-selfadjoint semiclassical operators 
pdf of presentation

11.00-11.30

Coffee/Tea in the Chapterhouse

11.30-12.30

Olavi Nevanlinna (Aalto University)
Polynomial hulls, low rank perturbations and multicentric calculus 
pdf of presentation

12.30-14.00

Lunch provided in the Chapterhouse

14.00-14.30

Bernd Schroers (Heriot-Watt University)
Resonances in quantised monopole dynamics  
pdf of presentation

14.30-15.00

Michael Levitin (University of Reading)
Real and non-real spectra of indefinite linear pencils 
pdf of presentation

15.00-15.30

Coffee/Tea in the Chapterhouse

15.30-16.00

Melina Freitag (University of Bath)
A quadratically convergent algorithm for matrix distance problems  
pdf of presentation

16.00-16.30

E.B. Davies (King's College London)
Complex eigenvalues of a self-adjoint linear pencil  
pdf of presentation

video

 

17.00-18.30

Informal wine reception in the Chapterhouse

 

Tuesday 16 September 2014

09.30-10.30

Karl Meerbergen (KU Leuven)
Lyapunov and Sylvester inverse iteration for solving parametric eigenvalue problem  

pdf of presentation

10.30-11.00

Coffee/Tea in the Chapterhouse

11.00-12.00

Michael L. Overton (New York University)
Pseudospectra and spectral value sets: results and open problems  
pdf of presentation

12.00-14.00

Lunch provided in the Chapterhouse

14.00-14.30

Charles Batty (University of Oxford)
From resolvent estimates to rates of decay

14.30-15.00

Anders Hansen (University of Cambridge)
Can everything be computed? - On the Solvability Complexity Index and Towers of Algorithms  

pdf of presentation

15.00-15.30

Coffee/Tea in the Chapterhouse

15.30-16.00

Luka Grubisic (University of Zagreb)
Resolvent estimates and eigenvalue decay of solutions to Lyapunov operator equations 

pdf of presentation

16.00-16.30

Joe Viola (Universite de Nantes)
Solution operators for evolution equations with quadratic generators

 

 

Wednesday 17 September 2014

09.30-10.30

Seamus Garvey (Nottingham University)
An alternative view of the pseudo spectrum of quadratic matrix pencils with real matrix coefficients

10.30-11.00

Coffee/Tea in the Chapterhouse

11.00-11.30

I. Goldshied (Queen Mary University of London)
Eigenfunctions of non-selfadjoint Jacobi-type matrices

11.30-12.00

Boris Khoruzhenko (Queen Mary University of London)
How many eigenvalues of a truncated orthogonal matrix are real?

12.00 onwards

Free afternoon

15.30

Doors open for Open Science Session

16.00-17.00

Open Science session
Alastair Spence (University of Bath) 
Algorithms for network analysis: from the Minotaur to the Laplacian matrix 

pdf of presentation

 

Thursday 18 September 2014

09.30-10.30

Simon Chandler-Wilde (University of Reading)
On Spectral Inclusion Sets and Computing the Spectra and Pseudospectra of Bounded Linear Operators

pdf of presentation

10.30-11.00

Coffee/Tea in the Chapterhouse

11.00-12.00

Marko Lindner (Hamburg University of Technology)
Essential pseudospectra 
pdf of presentation

12.00-14.00

Lunch provided in the Chapterhouse

14.00-14.30

Eugene Shargorodsky (King's College London)
On the definition of pseudospectra  
pdf of presentation

14.30-15.00

Sergey Naboko ( University of Kent and St Petersburg State University)
On the detectable subspaces of the nonself-adjoint Friedrichs model

15.00-15.30

Coffee/Tea in the Chapterhouse

15.30-16.00

Thomas Ransford (Laval University)
Do the pseudospectra of a matrix determine its behavior? 
pdf of presentation

19.00

Workshop dinner at Magnum Restaurant, 1 Albany Street, Edinburgh

 

Friday 19 September 2014

09.30-10.30

Maciej Zworski (University of California at Berkeley)
Stochastic stability for Pollicott-Ruelle resonances

10.30-11.00

Coffee/Tea in the Chapterhouse

11.00-12.00

Mark Embree (Virginia Tech)
Nonnormality and the solution of matrix equations

12.00

Close of workshop

 

 

Presentations:

Presentation Details
Batty, Charles
From resolvent estimates to rates of decay
View Abstract Down
Chandler-Wilde, Simon
On Spectral Inclusion Sets and Computing the Spectra and Pseudospectra of Bounded Linear Operators
View Abstract Down
Davies, E.B.
Complex eigenvalues of a self-adjoint linear pencil
View Abstract Down
Dencker, Nils
Pseudospectra of non-selfadjoint semiclassical operators
View Abstract Down
Embree, Mark
Nonnormality and the solution of matrix equations
View Abstract Down
Freitag, Melina
A quadratically convergent algorithm for matrix distance problems
View Abstract Down
Goldsheid, Ilya
Eigenfunctions of non-selfadjoint Jacobi-type matrices
View Abstract Down
Grubisic, Luka
Resolvent estimates and eigenvalue decay of solutions to Lyapunov operator equations.
View Abstract Down
Hansen, Anders
Can everything be computed? - On the Solvability Complexity Index and Towers of Algorithms
View Abstract Down
Khoruzhenko, Boris
How many eigenvalues of a truncated orthogonal matrix are real?
View Abstract Down
Levitin, Michael
Real and non-real spectra of indefinite linear pencils
View Abstract Down
Lindner, Marko
Essential pseudospectra
View Abstract Down
Meerbergen, Karl
Lyapunov and Sylvester inverse iteration for solving parametric eigenvalue problem
View Abstract Down
Naboko, Sergey
On the detectable subspaces of the nonself-adjoint Friedrichs model.
View Abstract Down
Nevanlinna, Olavi
Polynomial hulls, low rank perturbations and multicentric calculus
View Abstract Down
Overton, Michael L.
Pseudospectra and spectral value sets: results and open problems
View Abstract Down
Ransford, Thomas
Do the pseudospectra of a matrix determine its behavior?
View Abstract Down
Schroers, Bernd
Resonances in quantised monopole dynamics
View Abstract Down
Shargorodsky, Eugene
On the definition of pseudospectra
View Abstract Down
Viola, Joe
Solution operators for evolution equations with quadratic generators.
View Abstract Down
Zworski, Maciej
Stochastic stability for Pollicott-Ruelle resonances
View Abstract Down

Participants

Name Institution
Anahtarci, Berkay Sabanci University
Batty, Charles University of Oxford
Bögli, Sabine University of Bern
Boulton, Lyonell Heriot-Watt University
Chandler-Wilde, Simon University of Reading
Davies, E.B. King's College London
Dencker, Nils Lund University
Embree, Mark Virginia Tech
Freitag, Melina University of Bath
Garvey, Seamus Nottingham University
Goldsheid, Ilya Queen Mary University of London
Grubisic, Luka University of Zagreb
Hansen, Anders University of Cambridge
Khoruzhenko, Boris Queen Mary University of London
Levitin, Michael University of Reading
Lindner, Marko Hamburg University of Technology
Marletta, Marco Cardiff University
Meerbergen, Karl KU Leuven
Melkonian, Houry Heriot-Watt University
Naboko, Sergey University of Kent and St Petersburg State University
Nevanlinna, Olavi Aalto University
Overton, Michael L. New York University
Ransford, Thomas Laval University
Schroers, Bernd Heriot-Watt University
Shargorodsky, Eugene King's College London
Smedley-Williams, Kim Heriot-Watt University
Spence, Alastair University of Bath
Viola, Joe Universite de Nantes
Zworski, Maciej University of California at Berkeley