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20042026
most citedTraffic Instabilities in Self-Organized Pedestrian Crowds

217 citations

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13 papers · 1 filter

math.CV2023★ 1 cited

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…

math.CV2022

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…

math.CV2022★ 7 cited

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…

math.CV2022★ 2 cited

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…

math.CV2022★ 2 cited

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…

math.CV2021★ 2 cited

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…

math.CV2021★ 8 cited

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…

math.CV2021

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…

math.CV2017

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,…

math.CV2016

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…

math.CV2014★ 8 cited

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…

math.CV2012★ 43 cited

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…

math.CV2008★ 3 cited

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…