127 citations
- Université d'OrléansFR26 papers
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- Institut national de recherche en sciences et technologies du numériqueFR3 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR3 papers
- Université de ToulonFR3 papers
- Weierstrass Institute for Applied Analysis and StochasticsDE3 papers
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math.AP2013★ 13 cited
An explicit formula for the cubic Szegö equation
Patrick Gérard, Sandrine Grellier
We derive an explicit formula for the general solution of the cubic Szegö equation and of the evolution equation of the corresponding hierarchy. As an application, we prove that al…
math.CA2013
Hausdorff and harmonic measures on non-homogeneous Cantor sets
Athanasios Batakis, Anna Zdunik
We consider (not self-similar) Cantor sets defined by a sequence of piecewise linear functions. We prove that the dimension of the harmonic measure on such a set is strictly smalle…