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researcher

F. Durand

15 papers hereh-index 232k citations71 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author6
  • first author4
  • middle author3
  • last author2

Across the 15 of 15 papers where every author was matched, so the position is known.

fields
  • math.DS10
  • math.CO4
  • math.NT1
same name
  • F. Durand — 1 paper, h 4

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity
20032008
most citedBoundary of the Rauzy fractal sets in $\RR \times \CC$ generated by P(x)=x4−x3−x2−x−1

2 citations · 3 across the 14 of their papers we have counts for

collaborators
Showing math.COShow all

4 papers · 1 filter

math.CO2008★ 1 cited

A generalization of Cobham's Theorem

Fabien Durand

If a non-periodic sequence X is the image by a morphism of a fixed point of both a primitive substitution σ and a primitive substitution τ, then the dominant eigenvalues of t…

math.CO2008

A characterization of substitutive sequences using return words

Fabien Durand

We prove that a sequence is primitive substitutive if and only if the set of its derived sequences is finite; we defined these sequences here.

math.CO2008

A theorem of Cobham for non-primitive substitutions

Fabien Durand

In this article we generalize Cobham theorem to a large class of substitutions including non primitive and non constant length substitutions.

math.CO2008

Words and morphisms with Sturmian erasures

Fabien Durand, Adel Guerziz, Michel Koskas

We say $x \in \{0,1,2 \}^{\NN}$ is a word with Sturmian erasures if for any a∈{0,1,2} the word obtained erasing all a in x is a Sturmian word. A large family of such wo…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.