30 citations · 66 across the 8 of their papers we have counts for
8 papers
A 2-dimensional Geometry for Biological Time
Francis Bailly, Giuseppe Longo, Maël Montévil
This paper proposes an abstract mathematical frame for describing some features of biological time. The key point is that usual physical (linear) representation of time is insuffic…
Biological Organization and Negative Entropy: Based on Schroedinger's reflections
Francis Bailly, Giuseppe Longo
This paper proposes a systemic perspective for some aspects of both phylogenesis and ontogenesis, in the light of the notion of biological organization as negative entropy, followi…
Random tilings of high symmetry: II. Boundary conditions and numerical studies
M. Widom, N. Destainville, R. Mosseri +1
We perform numerical studies including Monte Carlo simulations of high rotational symmetry random tilings. For computational convenience, our tilings obey fixed boundary conditions…
Random tilings of high symmetry: I. Mean-field theory
N. Destainville, M. Widom, R. Mosseri +1
We study random tiling models in the limit of high rotational symmetry. In this limit a mean-field theory yields reasonable predictions for the configurational entropy of free boun…
A formula for the number of tilings of an octagon by rhombi
N. Destainville, R. Mosseri, F. Bailly
We propose the first algebraic determinantal formula to enumerate tilings of a centro-symmetric octagon of any size by rhombi. This result uses the Gessel-Viennot technique and gen…
Arctic octahedron in three-dimensional rhombus tilings and related integer solid partitions
M. Widom, R. Mosseri, N. Destainville +1
Three-dimensional integer partitions provide a convenient representation of codimension-one three-dimensional random rhombus tilings. Calculating the entropy for such a model is a…