Entrance hall of the ICMS Workshop

The role of complex analysis in complex dynamics

May 20, 2013 - May 24, 2013

ICMS, 15 South College Street

Organisers

Name Institution
Langley, James University of Nottingham
Rippon, Philip Open University
Stallard, Gwyneth Open University

This workshop will enable progress on fundamental questions in complex dynamics by focusing on important links with complex analysis. Leading experts will present overviews of several deep techniques in complex analysis that have already had significant applications in complex dynamics, and discuss outstanding problems of major significance to which these techniques might be applied successfully.

For a group photograph from this workshop click here.

 

Arrangements

The workshop will commence with Registration 08.45- 09.30 on Monday and close on Friday afternoon at 15.30.

Participation
Applications for this workshop are now closed.   Please email  audrey.brown(at)icms.org.uk   if you have any enquiries.


Venue and Talks
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 dataprojector, 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 (volcanic ash disruptions) that may occur on your trip.

A taxi directly from the airport will cost approximately 16.00 to 20.00 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 3.50 single or 6.00 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 two 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 second railway station is called Haymarket and is at the West End of the city centre.

 

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.

 

Accommodation

  • For Invited Participants (including Keynote Speakers): if requested, accommodation has been arranged by ICMS and details of your accommodation emailed to you.
  • For Graduate Students and Postdocs: ICMS will have emailed details of your accommodation if you requested and were granted financial assistance in the form of accommodation.
  • For all other participants: you should arrange and pay for your own accommodation (only once your application has been accepted).   Many participants will be staying at Pollock Halls of Residence so you may wish to consider this as your first option.   Some suggestions are below:

    Masson House, Pollock Halls of Residence, The University of Edinburgh, 18 Holyrood Park Road, Edinburgh EH16 5AY  (approx 70.00 GBP per night)
    0800 028 7118 (UK only) - +44 (0)131 651 2189 - http://www.book.accom.ed.ac.uk/
    University of Edinburgh accommodation. Pollock Halls is about a 20-25 minute walk.
    Masson House at Pollock Halls is very suitable and many of the participants will stay there.

    Jurys Inn Edinburgh, 43 Jeffrey Street, Edinburgh EH1 1DH (approx 75.00-90.00 GBP per night)
    +44 (0)131 200 3300 - www.jurys-edinburgh-hotels.com
    Only a 5 minute walk from ICMS.

    Edinburgh City Hotel, 79 Lauriston Place, Edinburgh, EH3 9HZ  (approx 70-80 GBP per night)
    +44 (0)131 622 7979 - http://www.edinburghcityhotel.com/

    St Christophers Hostel, 9-13 Market Street, Edinburgh EH1 1DE  (approx 25.00 or less depending on offers available)
    +44 (0)20 7407 1856 -  www.st-christophers.co.uk - bookings@st-christophers.co.uk
    This is Youth Hostel accommodation.

Further details and many more suggestions for accommodation can be found here 

 

Poster Session
The Poster Session will be held after the talks on Tuesday 21 May, at 18.00, in the Chapterhouse on the ground floor of ICMS.  At this time there will be an informal wine reception and time for all participants to view and discuss posters. Full details of the Poster Session were emailed (on 6 May) to all who expressed an interest in presenting a poster.

 

Catering
The workshop grant will cover refreshments throughout the event, lunch on Monday, Tuesday, Thursday and Friday (Wednesday being a 'free' afternoon), an informal wine reception with the Poster Session on Tuesday evening and a Workshop Dinner on Thursday evening.   The Workshop Dinner will be held in The Magnum Restaurant, 1 Albany Street, Edinburgh, EH1 3PY, at 19.30 on Thursday 23 May.  

 

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 50.00 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 have been emailed to all on 6 May 2013.    

 

Programme

Please note that the first two talks of each day are survey talks on an area of complex analysis, followed by the applications of that area to complex dynamics.

 

Monday 20 May 2013

08.45-09.30

Registration & coffee

09.30-10.30

Alan Beardon (University of Cambridge )
The Hyperbolic Metric  pdf of presentation

10.30-11.00

Coffee/Tea in Chapterhouse, Level 1

11.00-12.00

Gwyneth Stallard (Open University)
Applications of the hyperbolic metric in complex dynamics   pdf of presentation

12.00-14.00

Lunch (provided in the Chapterhouse) and discussion

14.00-14.45

Jian-Hua Zheng (Tsinghua University)
Hyperbolic metric and complex dynamics   pdf of presentation

14.45-15.30

Anna Zdunik (University of Warsaw)
Harmonic measure on non-homogenous Cantor sets   pdf of presentation

15.30-16.00

Coffee/Tea in Chapterhouse

16.00-16.45

Dan Nicks (University of Nottingham)
The Julia set in quasiregular dynamics   pdf of presentation

16.45-17.30

Alastair Fletcher (Northern Illinois University)
The fast escaping set and quasiregular mappings   pdf of presentation

 

Tuesday 21 May

09.30-10.30

James Langley (University of Nottingham )
An introduction to Nevanlinna theory   pdf of presentation

10.30-11.00

Coffee/Tea in Chapterhouse

11.00-12.00

Aimo Hinkkanen (University of Illinois at Urbana-Champaign)
Applications of Nevanlinna theory in complex dynamics   pdf of presentation

12.00-14.00

Lunch (provided in the Chapterhouse) and discussion

14.00-14.45

Krzysztof Barański (University of Warsaw)
Absorbing domains for meromorphic maps   pdf of presentation

14.45-15.30

Boguslawa Karpińska (Warsaw University of Technology)
Connectivity of Julia sets of meromorphic maps   pdf of presentation

15.30-16.00

Coffee/Tea in Chapterhouse

16.00-16.20

Anand Prakash Singh (Central University of Rajasthan)
Spiraling Baker domain   PowerPoint of presentation

16.20-16.40

David Martí Pete (Universitat de Barcelona)
The escaping set of holomorphic self-maps of C*  pdf of presentation

16.40-17.00

Sebastian Vogel (University of Kiel)
On the measure of the escaping set of a quasiregular analogue of the sine function  
pdf of presentation

17.00-17.20

John Osborne (Open University)
Connectedness properties of the set K(f) where the iterates of an entire function f are bounded   pdf of presentation

17.20-17.50

John Mayer (University of Alabama at Birmingham)
The Central Strip Lemma for laminations of degree d>2: identity return polygons
pdf of presentation

18.00-19.30

Poster Session and Wine Reception

 

Wednesday 22 May

09.30-10.30

Alexandre Eremenko (University of Purdue)
An introduction to inverse function singularities   pdf of presentation

10.30-11.00

Coffee/Tea in Chapterhouse

11.00-12.00

Núria Fagella (University of Barcelona)
Introduction to quasiconformal surgery   pdf of presentation

12.00-13.00

Mitsuhiro Shishikura (Kyoto University)
Introduction to quasiconformal surgery   pdf of presentation

 

Thursday 23 May

09.30-10.30

Lasse Rempe-Gillen (University of Liverpool)
Constructing polynomials and entire functions by quasiconformal folding  pdf of presentation

10.30-11.00

Coffee/Tea in Chapterhouse

11.00-12.00

Xavier Jarque (University of Barcelona)
Bishop's quasiconformal folding and wandering domains in Eremenko-Lyubich class
pdf of presentation

12.00-14.00

Lunch (provided in the Chapterhouse) and discussion

14.00-14.45

Adam Epstein (University of Warwick)
Dynamics and deformations of finite type analytic maps   pdf of presentation

14.45-15.30

Open Problem Session  Complex Dynamics Problems

15.30-16.00

Coffee/Tea in Chapterhouse

16.00-16.20

Simon Albrecht (University of Kiel)
On the construction of entire functions in the Speiser class   pdf of presentation

16.20-16.40

Dave Sixsmith (Open University)
The size of the Julia set of some families of functions outside the Eremenko-Lyubich class
pdf of presentation

16.40-17.00

Markus Baumgartner (University of Kiel)
On boundaries of multiply connected wandering domains   pdf of presentation

17.00-17.30

Tuen Wai Ng (University of Hong Kong)
On finite Blaschke products sharing preimage of connected compact sets
pdf of presentation

19.30

Dinner at The Magnum Restaurant, 1 Albany Street, Edinburgh, EH1 3PY

 

Friday 24 May

09.30-10.30

David Drasin (Purdue University)
Introduction and background to harmonic and subharmonic functions   pdf of presentation

10.30-11.00

Coffee/Tea in Chapterhouse

11.00-12.00

Philip Rippon (Open University)
Applications of harmonic functions in complex dynamics  pdf of presentation

12.00-13.00

Lunch (provided in the Chapterhouse)

13.00-13.30

Shaun Bullett (Queen Mary, University of London)
The discreteness locus for a family of correspondences    pdf of presentation

13.30-14.15

Janina Kotus (Warsaw University of Technology)
The Hausdorff dimemsion of the set of escaping paramaters and the escaping set
pdf of presentation

14.15-15.00

Mariusz Urbanski (University of North Texas)
Regularity and irregularity of fiber dimensions of non-autonomous holomorphic dynamical systems   pdf of presentation

15.00-15.30

Coffee/Tea in Chapterhouse

 

Presentations:

Presentation Details
Albrecht, Simon
On the construction of entire functions in the Speiser class
View Abstract Down
Badeńska, Agnieszka
POSTER: Functions with real multipliers of all repelling periodic orbits
Barański, Krzysztof
Absorbing domains for meromorphic maps
View Abstract Down
Baumgartner, Markus
On boundaries of multiply connected wandering domains
View Abstract Down
Beardon, Alan
The hyperbolic metric
View Abstract Down
Bullett, Shaun
The discreteness locus for a family of correspondences
View Abstract Down
Canela, Jordi
POSTER: Tongues in degree 4 Blaschke products
Drasin, David
An introduction and background to harmonic and subharmonic functions
View Abstract Down
Epstein, Adam
Dynamics and deformations of finite type analytic maps
Eremenko, Alexandre
An introduction to inverse function singularities
View Abstract Down
Fagella, Núria
Introduction to quasiconformal surgery
View Abstract Down
Fletcher, Alastair
The fast escaping set and quasiregular mappings
View Abstract Down
Hinkkanen, Aimo
Applications of Nevanlinna theory in complex dynamics
View Abstract Down
Jarque, Xavier
Bishop's quasiconformal folding and wandering domains in Eremenko-Lyubich class
View Abstract Down
Karpińska, Boguslawa
Connectivity of Julia sets of meromorphic maps
View Abstract Down
Kisaka, Masashi
POSTER: Transcendental entire functions whose Julia sets are Sierpinski carpets
Kotus, Janina
The Hausdorff dimemsion of the set of escaping paramaters and the escaping set
View Abstract Down
Langley, James
An introduction to Nevanlinna theory
View Abstract Down
Martí Pete, David
The escaping set of holomorphic self-maps of C*
View Abstract Down
Mayer, John
The Central Strip Lemma for laminations of degree d>2: identity return polygons
View Abstract Down
Mukherjee, Sabyasachi
POSTER: Towards a combinatorial description of the multicorns
Ng, Tuen Wai
On finite Blaschke products sharing preimage of connected compact sets
View Abstract Down
Nicks, Dan
The Julia set in quasiregular dynamics
View Abstract Down
Osborne, John
Connectedness properties of the set K(f) where the iterates of an entire function f are bounded
View Abstract Down
Penrose, Christopher
POSTER: Super-statistics of Blaschke products
View Abstract Down
Pérez-Garrandés, Carlos
POSTER: Ergodicity of laminations in compact surfaces
View Abstract Down
Rempe-Gillen, Lasse
Constructing polynomials and entire functions by quasiconformal folding
View Abstract Down
Rippon, Philip
Applications of harmonic functions in complex dynamics
View Abstract Down
Shishikura, Mitsuhiro
Introduction to quasiconformal surgery
View Abstract Down
Singh, Anand Prakash
Spiraling Baker domain
View Abstract Down
Sixsmith, Dave
The size of the Julia set of some families of functions outside the Eremenko-Lyubich class
View Abstract Down
Stallard, Gwyneth
Applications of the hyperbolic metric in complex dynamics
View Abstract Down
Urbanski, Mariusz
Regularity and irregularity of fiber dimensions of non-autonomous holomorphic dynamical systems
View Abstract Down
Vogel, Sebastian
On the measure of the escaping set of a quasiregular analogue of the sine function
View Abstract Down
Zdunik, Anna
Harmonic measure on non-homogenous Cantor sets
View Abstract Down
Zheng, Jian-Hua
Hyperbolic metric and complex dynamics
View Abstract Down

Participants

Name Institution
Albrecht, Simon University of Liverpool
Badeńska, Agnieszka Warsaw University of Technology
Barański, Krzysztof University of Warsaw
Baumgartner, Markus University of Kiel
Beardon, Alan University of Cambridge
Blokh, Alexander University of Alabama at Birmingham
Bullett, Shaun Queen Mary, University of London
Canela, Jordi University of Barcelona
Drasin, David Purdue University
Epstein, Adam University of Warwick
Eremenko, Alexandre University of Purdue
Fagella, Núria University of Barcelona
Fletcher, Alastair Northern Illinois University
Hinkkanen, Aimo University of Illinois at Urbana-Champaign
Jacques, Matthew Open University
Jarque, Xavier Universitat de Barcelona
Karpińska, Boguslawa Warsaw University of Technology
Kisaka, Masashi Kyoto University
Kotus, Janina Warsaw University of Technology
Langley, James University of Nottingham
Lodge, Russell Jacobs University Bremen
Mamayusupov, Khudoyor Jacobs University Bremen
Martí Pete, David University of Barcelona
Mayer, John University of Alabama at Birmingham
Morosawa, Shunsuke Kochi University
Mukherjee, Sabyasachi Jacobs University Bremen
Nada, Alhabib University of Liverpool
Ng, Tuen Wai University of Hong Kong
Nicks, Dan University of Nottingham
Osborne, John Open University
Oversteegen, Lex University of Alabama at Birmingham
Penrose, Christopher Queen Mary, University of London
Pérez-Garrandés, Carlos Universidad Complutense de Madrid
Rempe-Gillen, Lasse University of Liverpool
Rippon, Philip Open University
Shishikura, Mitsuhiro Kyoto University
Short, Ian Open University
Singh, Anand Prakash Central University of Rajasthan
Sixsmith, Dave Open University
Sommerfeld, Daniel Christian-Albrechts-Universität zu Kiel
Stallard, Gwyneth Open University
Urbanski, Mariusz University of North Texas
Vogel, Sebastian University of Kiel
Zdunik, Anna University of Warsaw
Zheng, Jian-Hua Tsinghua University