Brian, Éric
Published in
Revue de Synthèse

The article examines several stochastic layers of epistemic reasoning at work in econometrics and in the current economic methods: (1) the argumentative level; (2) the reasoning based on the analogy with gambling; (3) the models based on analytical calculation of probabilities, where the phenomenon is held centered, its uncertainty being controlled...

Christensen, Ole Goh, Say Song

We consider a class of functions, defined on a locally compact abelian group by letting a class of modulation operators act on a countable collection of functions. We derive sufficient conditions for such a class of functions to form a Bessel sequence or a frame and for two such systems to be dual frames. Explicit constructions are obtained via var...

Abassi, Elisa Brugeilles, Carole

Christensen, Ole Goh, Say Song

We consider a class of functions, defined on a locally compact abelian group by letting a class of modulation operators act on a countable collection of functions. We derive sufficient conditions for such a class of functions to form a Bessel sequence or a frame and for two such systems to be dual frames. Explicit constructions are obtained via var...

Abassi, Elisa Brugeilles, Carole

Alahmadi, Adel Aldred, Robert E. L. Alkenani, Ahmad Hijazi, Rola Solé, P. Thomassen, Carsten

In 1993 Ruskey and Savage conjectured that in the d-dimensional hypercube, every matching M can be extended to a Hamiltonian cycle. Fink verified this for every perfect matchingM, remarkably even ifM contains external edges. We prove that this property also holds for sparse spanning regular subgraphs of the cubes: for every d ≥ 7 and every k, where...

Christensen, Ole Goh, Say Song

We consider a class of functions, defined on a locally compact abelian group by letting a class of modulation operators act on a countable collection of functions. We derive sufficient conditions for such a class of functions to form a Bessel sequence or a frame and for two such systems to be dual frames. Explicit constructions are obtained via var...

Alahmadi, Adel Aldred, Robert E. L. Alkenani, Ahmad Hijazi, Rola Solé, P. Thomassen, Carsten

In 1993 Ruskey and Savage conjectured that in the d-dimensional hypercube, every matching M can be extended to a Hamiltonian cycle. Fink verified this for every perfect matchingM, remarkably even ifM contains external edges. We prove that this property also holds for sparse spanning regular subgraphs of the cubes: for every d ≥ 7 and every k, where...

Christensen, Ole Goh, Say Song

We consider a class of functions, defined on a locally compact abelian group by letting a class of modulation operators act on a countable collection of functions. We derive sufficient conditions for such a class of functions to form a Bessel sequence or a frame and for two such systems to be dual frames. Explicit constructions are obtained via var...

Alahmadi, Adel Aldred, Robert E. L. Alkenani, Ahmad Hijazi, Rola Solé, P. Thomassen, Carsten

In 1993 Ruskey and Savage conjectured that in the d-dimensional hypercube, every matching M can be extended to a Hamiltonian cycle. Fink verified this for every perfect matchingM, remarkably even ifM contains external edges. We prove that this property also holds for sparse spanning regular subgraphs of the cubes: for every d ≥ 7 and every k, where...