217 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Université Toulouse III - Paul SabatierFR183 papers
- Institut de Mathématiques de ToulouseFR172 papers
- Centre National de la Recherche ScientifiqueFR171 papers
- Université Fédérale de Toulouse Midi-PyrénéesFR113 papers
- Institut National des Sciences Appliquées de ToulouseFR76 papers
- Université de ToulouseFR44 papers
- Laboratoire d'Analyse et d'Architecture des SystèmesFR18 papers
- University of Rome Tor VergataIT8 papers
- Institut Universitaire de FranceFR7 papers
- Toulouse School of EconomicsFR7 papers
- Université Paris CitéFR7 papers
- Centre de Recherche en Mathématiques de la DécisionFR6 papers
13 papers · 1 filter
On non-visibility of Kobayashi geodesics and the geometry of the boundary
Ahmed Yekta Ökten
We show that on convex domains with sufficiently smooth boundary the limit set of non-visible Kobayashi geodesics are contained in a complex face. In two dimensions, this implies t…
Strong localizations of the Kobayashi distance
Nikolai Nikolov, Ahmed Yekta Ökten
Recently, the visibility property of Kobayashi (almost) geodesics has been used to provide localizations of the Kobayashi distance. In this note, we provide sufficient growth condi…
Local and global notions of visibility with respect to Kobayashi distance, a comparison
Nikolai Nikolov, Ahmed Yekta Ökten, Pascal J. Thomas
In this note, we introduce the notion of visible boundary points with respect to Kobayashi distance for domains in complex euclidean space. Following the work of Sarkar, we obtain…
Strongly Goldilocks Domains, quantitative Visibility, and Applications
Nikolai Nikolov, Ahmed Yekta Ökten
In the last decade, G. Bharali and A. Zimmer defined a class of domains called Goldilocks domains and they showed that such a domain satisfies a visibility condition with respect t…
Weighted Green functions for complex Hessian operators
Hadhami Elaini, Ahmed Zeriahi
Let be two fixed integers. Let be a bounded -hyperconvex domain and a finite set of weighted pol…
Families of singular Chern-Ricci flat metrics
Chung-Ming Pan
We prove uniform a priori estimates for degenerate complex Monge-Ampère equations on a family of hermitian varieties. This generalizes a theorem of Di Nezza-Guedj-Guenancia to herm…
Some Properties of Balanced Hyperbolic Compact Complex Manifolds
Samir Marouani, Dan Popovici
We prove several vanishing theorems for the cohomology of balanced hyperbolic manifolds that we introduced in our previous work and for the harmonic spaces on the universal c…
A Schwarz-type lemma for squeezing function on planar domains
Ahmed Yekta Ökten
With an easy application of maximum principle, we establish a Schwarz-type lemma for squeezing function on finitely connected planar domains that directly yields the explicit formu…
Skew Carleson measures in strongly pseudoconvex domains
Marco Abate, Jasmin Raissy
Given a bounded strongly pseudoconvex domain in with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of $(λ,…
Choquet-Monge-Ampere Classes
Vincent Guedj, Sibel Sahin, Ahmed Zeriahi
We introduce and study Choquet-Monge-Ampere classes on compact Kahler manifolds. They consist of quasi-plurisubharmonic functions whose sublevel sets have small enough asymptotic M…
Galois Groups of Difference Equations of Order Two on Elliptic Curves
Thomas Dreyfus, Julien Roques
This paper is concerned with difference equations on elliptic curves. We establish some general properties of the difference Galois groups of equations of order two, and give appli…
Viscosity solutions to complex Hessian equations
Lu Hoang Chinh
We study viscosity solutions to complex hessian equations. In the local case, we consider a bounded domain in the standard Kähler form in an…
Discontinuity of the Lempert function of the spectral ball
Pascal J. Thomas, Nguyen Van Trao
We give some further criteria for continuity or discontinuity of the Lempert funtion of the spectral ball , with respect to one or both of its arguments, in terms of cyclicity…