arXiv subjects

Christophe Dubussy

Publications and source records attributed to Christophe Dubussy.

3 recordsLinked to original sources

arXiv2026

On the minimum number of chips allowing an infinite Chip-firing game

In this article, we provide three formulas allowing to compute the minimum amount of initial chips leading to an infinite Chip-firing game, answering a question originally posed by Björner and Lovász in 1992. These formulas hold for strongly connected directed loop-free multigraphs and generalize what was already known in the Eulerian case. The various proofs heavily rely on a notion of dynamical bound, which allows to encode some specific sequences of chip configurations.

math.CO↗

arXiv2019

Enhanced Laplace transform and holomorphic Paley-Wiener-type theorems

Starting from a remark about the computation of Kashiwara-Schapira's enhanced Laplace transform by using the Dolbeault complex of enhanced distributions, we explain how to obtain explicit holomorphic Paley-Wiener-type theorems. As an example, we get back some classical theorems due to Polya and Méril as limits of tempered Laplace-isomorphisms. In particular, we show how contour integrations naturally appear in this framework.

math.CV↗

arXiv2018

Holomorphic cohomological convolution and Hadamard product

In this article, we explain the link between Pohlen's extended Hadamard product and the holomorphic cohomological convolution on $\mathbb{C}^*$. For this purpose, we introduce a generalized Hadamard product, which is defined even if the holomorphic functions do not vanish at infinity, as well as a notion of strongly convolvable sets.

math.CV↗