research topics:
(under construction)
New
A special issue of the International Journal of Foundations of Computer Science
on Frontier between Decidability and Undecidability and Related Problems
look at the call for paper
here, .pdf file
deadlines :
- submissions: December, 31, 2010
- notifications of decisions: May, 1, 2011
- if accepted, revised version: July, 1st, 2011
- final decision for revised version: October, 1st, 2011
Now
- Turing machines
- non-erasing deterministic machines
- self-describing machines
- descriptive study of the motion of the machine head on its tape
- molecular computing
- test-tube model
- time-varying distributed models
technical report, ps file
paper being presented to DNA6,
in LNCS 2054, ps file
paper being presented to DNA7,
in LNCS 2340, ps file
paper being presented to SCI'2001, ps file
paper being presented at Curta de Arges,
August 2001, ps file
paper being presented to DNA9, in LNCS 2943, ps file
- P systems, membrane computing;
paper in
Fundamenta Informaticae, 59
paper being presented to WMC'03, Taragona, in LNCS 2933,
ps file
- hyperbolic tilings
- a pentagonal à la Wang tile
- regular rectangular grids of the hyperbolic plane
JUCS, 9,5,
technical report, ps file
- infinigons and infinigrids of the hyperbolic plane
paper in
Fundamenta Informaticae, 56 ,
technical report, ps file
- the tiling of the hyperbolic 4D space by the 120-cell
paper in
JUCS, 10,9 , also available here:
technical report, ps file
- the undecidability of the generalized origin-constrained
tiling problem for the hyperbolic plane
click here for the new gz compressed file
technical report, ps.gz file
and also, an uncompressed .pdf file:
technical report, .pdf file
- the undecidability of the
tiling problem for the hyperbolic plane
click here for the new gz compressed file
technical report, ps.gzip file
and also, an uncompressed .pdf file:
technical report, .pdf file
and a new complement:
pdf file, very similar to arXiv:07050086
a synthesis of the previous papers is now published
in the Bulletin of the
EATCS, vol. 93
also see arXiv site, here
where you find my paper under the reference arXiv:0706.4161
the full paper is
here for a .pdf file
a full paper is under press now in TCS: click
here to access the paper on
line and indicate doi:10.1016/j.tcs.2008.04.038 or insert Margenstern on the
author field
- cellular automata in hyperbolic geometry
- the pentagrid of the hyperbolic plane
JUCS, 5,9 ,
JUCS, 6,12,
TCS site
technical report, ps file
- the rectangular dodecahedral tiling of the hyperbolic 3D space
paper in
Fundamenta Informaticae, 58 ,
technical report, ps file
- NEW! A book:
Cellular Automata in Hyperbolic spaces, vol. 1: Theory,
Old City Publishing, Philadelphia, 422p.,
available
here, with the
possibility to order
and also
here, with another possibility to order
also available on amazon.fr
and on amazon.com
- a NEW result:
the injectivity of the global function of a cellular automaton on the
ternary heptagrid is undecidable:
see arXiv,
paper arXiv:0806.1602v2, or/and an abridged version,
see here
for a .pdf file of it
- Universality results:
weak universality results (infinite
initial configuration, but a regular one), using the
railway circuit model devised by Ian Stewart, see
Scientific American, (1994), 90-92.
- In the pentagrid:
a long time ago, with Francine Hermann, 22 states,
Theoretical Computer Science 296, (2003),
327-364.
recently, with Yu Song: 9 states,
Parallel Processing Letters, 19(2), (2009),
225-246.
- In the heptagrid:
recently, with Yu Song: 6 states,
Electronic Notes in Theoretical Computer Science,
223,(2008), 167-185.
-
Simulations by hyperbolic cellular automata on a triangular grid
See the slides here.
Once upon a time
- à la Markov constructive analysis
- a simple extension of the predicate calculus
- practical numbers
list of publications
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