First International Conference DM-CCG

Discrete Models

Combinatorics, Computation and Geometry

Paris, July 2-5, 2001

Programme






Monday - July 2, 2001




8:30-9:30 Registration of the participants
9:30-9:45 Opening of the conference




Chair: Michel Morvan



9:45-10:45 Invited talk: Denis Gratias (LEM, Chatillon, France)
To be annouced


10:45-11:15 Coffee break




Chair: Jean-Paul Allouche



11:15-12:15 Invited talk: Cris Moore (SFI, Santa Fe, USA)
An n-dimensional generalization of the rhombus tiling

12:15-12:45 Ethan Coven and Aaron Meyerowitz
Tiling the integers with translates of one finite set


12:45-14:30 Lunch




Chair: Cris Moore



14:30-15:30 Invited talk: Nicolas Destainville (LPQ-IRSAMC, Toulouse, France)
Mixing times of plane random rhombus tilings

15:30-16:00 Gilles Radenne
Tilings of a domain on a hexagon mesh with balanced 3-tiles


16:00-16:15 Coffee break




Chair: Petra Gummelt


16:15-16:45 Sergei Bespamyatnikh
Enumerating triangulations of convex polytopes

16:45-17:15 Jan Snellman
A poset classifying non-commutative term orders

17:15-17:45 R. Erra, N. Lygeros and N. Stewart
On minimal strings containing the elements of S_n by decimation

17:45-18:15 Don Rawlings and Travis Herbranson
A Sequential Search Distribution: Proofreading, Russian Roulette, and the Incomplete q-Eulerian Polynomials




Tuesday - July 3, 2001





Chair: Deepak Dhar



9:00-10:00 Invited talk: Mireille Bousquet-Melou (LABRI, Bordeaux, France)
Exact enumeration of "large" classes of lattice animals


10:00-10:30 Coffee break




Chair: Richard Kenyon



10:30-11:00 Invited talk: Eric Goles (DIM, Santiago, Chili)
Foldings and Tilings

11:00-11:30 Arnoux, Berthe, Ei, Ito
Tilings, quasicrystals, discrete planes generalized substitutions and multidimensional continued fractions

11:30-12:00 Jean-Christophe Novelli and Dominique Rossin
On the Toppling of a Sand Pile

12:00-12:30 Chris Barrett, Harry Hunt III, Madhav Marathe, S. Ravi, Daniel Rosenkrantz, Richard Stearns, Predrag Tosic
Garden of Eden and Fixed Point Configurations in Sequential Dynamical Systems

12:30-13:00 Daniel Krob and Ekaterina A. Vassilieva
Performance evaluation of modulation methods: a combinatorial approach


13:00-14:30 Wine and Cheese




AFTERNOON: Guided tours - Paris






Wednesday - July 4, 2001





Chair: James Propp



9:00-10:00 Invited talk: Deepak Dhar (TIFR, Bombay, India)
Distribution of sizes of erased loops in loop-erased random walks


10:00-10:30 Coffee break




Chair: Robert Cori



10:30-11:30 Invited talk: James Propp (Univ. Wisconsin, Madinson, USA)
The many Faces of Alternating-Sign Matrices

11:30-12:00 Clemence Magnien, Ha Duong Phan and Laurent Vuillon
Characterisation of lattices induced by (extended) Chip Firing Games

12:00-12:30 Criel Merino
The chip firing game and matroid complexes


12:30-14:30 Lunch




Chair: Eric Goles



14:30-15:30 Invited talk: Richard Kenyon (TDS, Orsay, France)
Asymptotic shape of random plane partitions

15:30-16:00 Matthieu Latapy
Partitions of an integer into powers

16:00-16:30 F. Boulier, Florent Hivert, Daniel Krob, Jean-Christophe Novelli
Pseudo-Permutations II: Geometry and Representation Theory


16:30-18:30 POSTER SESSION




EVENING: CONFERENCE DINNER






Thursday - July 5, 2001





Chair: Remy Mosseri



9:00-10:00 Invited talk: Petra Gummelt
Modelling of non-crystallographic structures by a "quasi-unit cell"


10:00-10:30 Coffee break




Chair: Jaques Mazoyer


10:30-11:30 Andre Barbe and Fritz von Haeseler
Periodic patterns in Orbits of Certain Linear Cellular Automata

11:00-11:30 Jérôme Durand-Lose
Representing reversible cellular automata with reversible block cellular automata


11:30-12:30 Invited talk: Jean-Paul Allouche (LRI, Orsay, France)
On combinatorics of words and physics

12:30-13:00 Maurice Nivat
Tilings and sequences (linear and bidimensional)


Chair: Nicolas Destainville


14:30-15:00 Kellie Michele Evans
Larger than Life: Digital Creatures in a Family of Two-Dimensional Cellular Automata

15:00-15:30 Jacques Demongeot
Interaction networks in biology: a mathematical approach

15:30-16:00 Alberto Del Lungo, Massimo Mirolli, Renzo Pinzani, Simone Rinaldi
A bijection for directed-convex polyominoes


16:00-16:15 Coffee break




Chair: Mireille Bousquet-Melou


16:15-16:45 Nicolas M. Thiéry
Computing minimal generating sets of invariant rings of permutation groups with SAGBI-Gröbner basis

16:45-17:15 M. Reza Emamy-K. and Martin Ziegler
New Bounds for Hypercube Slicing Numbers

17:15-17:45 Alexander Zvonkin
Megamaps: Construction and Examples


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