53 citations
- International Center for Transitional JusticeUS38 papers
- Lyon 1 UniversitéFR36 papers
- Centre National de la Recherche ScientifiqueFR16 papers
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- Institut FourierFR3 papers
- Nankai UniversityCN3 papers
- Institutul de Cercetari ElectrotehniceRO2 papers
- Rutgers, The State University of New JerseyUS2 papers
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- Analyse, Géométrie et ModélisationFR1 paper
- Carleton UniversityCA1 paper
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11 papers · 1 filter
Spontaneous Dynamics of Asymmetric Random Recurrent Spiking Neural Networks
H. Soula, G. Beslon, O. Mazet
We study in this paper the effect of an unique initial stimulation on random recurrent networks of leaky integrate and fire neurons. Indeed given a stochastic connectivity this so-…
Quivers with relations and cluster tilted algebras
Philippe Caldero, Frederic Chapoton, Ralf Schiffler
Cluster algebras were introduced by S. Fomin and A. Zelevinsky in connection with dual canonical bases. To a cluster algebra of simply laced Dynkin type one can associate the clust…
Cluster algebras as Hall algebras of quiver representations
Philippe Caldero, Frederic Chapoton
Recent articles have shown the connection between representation theory of quivers and the theory of cluster algebras. In this article, we prove that some cluster algebras of type…
Quasi-bialgebras and dynamical r-matrices
Serge Parmentier, Romaric Pujol
We study the relationship between general dynamical Poisson groupoids and Lie quasi-bialgebras. For a class of Lie quasi-bialgebras naturally compatible with a reductive decomposit…
Normalized height of projective toric varieties
Patrice Philippon, Martin Sombra
We present an explicit expression for the normalized height of a projective toric variety. This expression decomposes as a sum of local contributions, each term being the integral…
On some -identities related to divisor functions
Jiang Zeng
We give generalizations and simple proofs of some -identities of Dilcher, Fu and Lascoux related to divisor functions.