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WORKSHOP ON PIECEWISE ISOMETRIES
Marseille-Luminy
(IML)
June
2-15, 2002
sponsored by CNRS , FRUMAM , CPT and IML
(updated: April, 2002)
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Piecewise
Isometries are two and higher dimensional
generalizations of well-known interval exchange transformations. Recent wide
interest in the subject is partially driven by (a) analogies with one
dimensional maps, (b) spectacular fractal
mosaics of cells, as well as, (c) potential applications. These include other
areas of mathematics such as dual billiards, Hamiltonian systems, as well as
other areas of science: Electrical Engineering (Digital Filters) and
Psychiatry.
The workshop will bring together researchers interested in the development of
the theory of piecewise isometric maps and in related topics. Apart from
research talks a series of introductory lectures will be delivered aimed at
graduates students and nonexperts.
The workshop will be held in Luminy, one of the
world centers for dynamical systems. The campus is located
closed to Marseille
and Callanques . Callanques
are a unique natural sanctuary located at a spectacular 45--60 minute walk
from campus to the Mediteranian sea. The old part
of Marseille can be reached within 30-40 minutes by bus. Maps and
directions are available from the CPT page.
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Partial List of
Participants.
(*) indicates no commitment
Dates or arrival and
departure are approximate.
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02/6- 9/6
30/5-30/6
2/6- 8/6
9/6-14/6
2/6- 9/6
30/5-12/6
2/6 -14/6
2/6 -14/6
2/6-15/6
2/6 -9/6
29/5 -10/6
2/6 - 10/6
2/6 - 9/6
2/6 - 9/6
2/6 -13/6
2/6 - 13/6
14/5 -14/6
9/6 - 15/6
10/5-10/7
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P. Ashwin
(Exeter, GB)
M. Boshernitzan (Rice, Houston)-J. Buzzi(*)
H. Bruin (Groningen)
Y. Cheung (Northwestern)
A. Eskin
(*)
M. Field (Houston)
D. Gaboriau (*)
J. Gambaudo (several days)
D. Genin (State College)
A. Goetz (SFSU,San Francisco)
N. Haydn (USC,Los Angeles)
C. Holton (Berkeley)
H. Hu (Los Angeles)
B. Kahng (W&M, Virginia)
E. Lanneau (Rennes)
S. Lelievre (Rennes)
G. Levitt (*)
J. Lowenstein (New York)
H. Masur (*)
I. Melbourne
M. Mendes (Surrey)
M. Misiurewicz (IUPUI, Indiana)
M. Nicol (Surrey)
F. Przytycki (Warsaw)
M. Rams (Warsaw)
I. Sammis (SFSU, San Francisco)
S. Tabachnikov (S. College)
F. Vivaldi (London)
A. Zorich (*)
L. Zamboni (Denton,TX)
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Local Participants:
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A. Aberkane,
B. Adamczewski,
P. Arnoux,
N. Bedaride,
V. Berthe,
F. Blanchard,
X. Bressaud,
J. Cassaigne,
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S. Ferenczi,
(first week)
B.Fernandez,
P. Hubert,
J. Los,
G. Poggiaspalla,
S. Ruette,
S. Troubetzkoy,
S. Vaienti.
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Organizer : S. Troubetzkoy (IML-CPT),
troubetz@iml.univ-mrs.fr or serge@cpt.univ-mrs.fr
Scientific committee : P. Ashwin
(University of Exeter), M. Boshernitzan (Rice
University), N. Haydn (University of Southern California), F. Przytycki (Polish Academy of Sciences and Warsaw
University).
Organizing committee
: X. Bressaud (IML), J. Cassaigne
(IML), S. Ferenczi (IML), A. Goetz (San Francisco
State University), P. Hubert (IML), G. Poggiaspalla
(CPT-Universite Aix Marseille II),
S. Troubetzkoy (IML-CPT), S. Vaienti
(CPT et Universite de Toulon et du Var).
Local organizing committee
: X. Bressaud (IML), P. Hubert (IML), S.
Troubetzkoy (IML-CPT), S. Vaienti
(CPT, Universitte de Toulon et du Var).
Secretary : J. Brohan (IML),
brohan@iml.univ-mrs.fr
Address: Institut de Mathematiques de Luminy,Luminy Case 907
F-13288 Marseille Cedex 09, France
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Tentative Schedule:
Minicourses:
Week 1
Sebastien Ferenczi ,Unique ergodicity of interval
exchanges, a symbolic proof. We
explain a proof due to M. Boshernitzan of the
famous Veech-Masur result, that almost all interval
exchange transformations are uniquely ergodic. This uses only
elementary tools such as complexity function and graph of words, and might be
useful to understand more general piecewise isometries.
Arek Goetz, Dynamics
of Piecewise Isometries, from introductory examples
to current research questions. The
series will start off from the introduction to the subject accessible to non
experts and then it will quickly move to a survey of theory and research
tools. While preserving the mathematical rigor, the series will be augmented
by frequent interactive computer illustrations and animations.
Week 2
Michael Boshernitzan
TBA,TBA,TBA
Franco Vivaldi
""Arithmetic dynamics of some linear and piecewise
linear maps."
Talks: Detailed schedule of
talks will be posted here
within two weeks or so. Talks will last between 40 minutes and one hour each.
Reaching Luminy
If you happen
to need urgent advice, please call Arek Goetz on
his French cell phone, 06.77.87.26.74.
While many
visitors to Luminy now choose to fly to Paris
and then take a convenient fast train (slightly more than three hours) from
the airport CDG in Paris, the
instructions below include an option when a visitor arrives in Marseille by
plane and by train.
If you
arrive in Marseille by plane, use the shuttle bus from the airport to the
city center that runs every 20 minutes. A ticket costs 7,60
EUR. Get off the bus at the final
stop, at the main railway station (St Charles).
From the station, until 21:00, take
metro line 2 towards Ste Marguerite-Dromel. Get off one stop before the end of the
line, at Rond-Point du Prado, then take bus 21 towards Luminy to its last stop. The The bus
stop is on the other side of the avenue.
On Sundays, all busses of the line run to Luminy;
on weekdays, avoid busses marked "Valmante"
that do not go all the way. The
metro ticket 1,40 EUR is also valid on the bus, you
do not need to buy a new one.
After 21:00, the metro does not run any more, but
there is a direct bus from the railway station to Luminy:
line 521, departing from St Charles
at 21:19, 21:54, 22:34,
23:09, 23:49 and 00:24.
To reach
the 521 bus stop (after 21:00) from the railway station, follow the signs "gare routičre" and
exit the station on the side opposite to the airport shuttle, near track
M. Then take the street (rue Honnorat) to the left, then turn
right along the fence.
For further
information about public transportation in Marseille: http://www.lepilote.com/
Of course,
you can also come by taxi. By day
the fare should be around 55 EUR from the airport and 20 EUR from the
station.
From Saint-Charles railway station to Etape Hotel: Take subway line 1, direction La Timone, get off at Vieux Port,
the hotel is a 5 minutes walk. Rue Sainte is the 2nd street parallel to the
(left if facing from the top) bank of the Vieux Port.
From the train station to Hotel President,
12 Bd Salvator 04 91
48 67 29.
By
foot: Descend the grand staircase of the station (stone staircase, construction
of the beginning of the 20th century). Walk straight for approximately 15 to
20 minutes. One crosses many
small streets, but only one large street one crosses is called la Canebiere. The street which one follows changes its many
several times, but after approximately 5 minutes is is
called cours Lieutaud. On
passes under 2 bridges. Boulevard
Salvator is the 2nd street on the right
after the second bridge. This is
a steeply descending street, with trees.
The hotel is at the bottom of the street.
By metro: Take line 2 in the
direction: Sainte Marguerite Dromel. Exit at the
station: Notre Dame du Mont, Cours
Julien. Take the exit labeled: Cours
Julien. At the top of the escalator continue to
walk in the direction of the exit. You will arrive at a long square place
Notre Dame du Mont. Cross this diagonally. At the other end of the square the
church Notre Dame du Mont will be on your
left. Take the rue des Berger
which slopes down on your right.
Cross cours Lieutaud. The boulevard Salvator
is the continuation of the rue Berger. The hotel is at the bottom of the
street.
Directions from the trains station to CITADINES
PRADO-CHANOT, 9/11 boulevard de Louvain,
13008 Marseille, Tel. : 08 25 01 03 68. Take the
metro, line 2 in the direction: Sainte Marguerite Dromel.
Exit at the station Perrier or Rond Point de Prado. Walk along Ave du Prado until you reach bloulevard
de Louvain, it is half way between the two stops on
your left if you are coming from Perrier and on your right if you are coming
from the Rond Point. The hotel is approximately 150 meters
on your left (opposite the main entrance to the hospital Ste Joseph).
From Saint-Charles railway station to Luminy :
Take subway line 2, direction Dromel Ste
Marguerite, get off at Rond Point du Prado, then, take the Bus 21 to the terminus.
From Etape
Hotel to Luminy : Walk to Vieux
Port, take subway line 1 direction La Timone,
get off at Castellane and take the Bus 21, direction
Luminy to the terminus.
The subway
runs from 5.00a.m. to 9.00p.m.
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