AbstractWe prove that the semi-conjugacy, obtained by P. Arnoux (1988, Bull. Soc. Math. France116, 489–500), between an interval exchange map and a translation on the torus is Hölder continuous and we compute the Hölder exponent. This semi-conjugacy is a particular case of a space filling curve
Certain elliptic equations arising in catalysis theory can be transformed into ordinary differential...
ABSTRACT. We prove that the solutions of the cohomological equation for Roth type interval exchange ...
In this paper, we further the study of super and δ-continuities using δ-open and θ-open sets. ...
International audienceThe Arnoux-Rauzy systems are defined in [5], both as symbolic systems on three...
International audienceThe Arnoux-Rauzy systems are defined in [5], both as symbolic systems on three...
PreprintIt is well known that a continuous piecewise monotone interval map with positive topological...
In this article, we provide sufficient conditions on a self-similar interval exchange map, whose ren...
Abstract. Let f1 and f2 be rational maps with Julia sets J1 and J2, and let Ψ: J1 → P1 be any contin...
Abstract. Hausdorff continuous (H-continuous) functions are special interval-valued functions which ...
We present a complete bi-Lipschitz classification of germs of semialgebraic curves (semialgebraic se...
International audienceWe consider a substitution associated with the Arnoux-Yoccoz interval exchange...
A standard interval exchange map is a one-to-one map of the interval that is locally a translation e...
summary:F. van Gool [Comment. Math. Univ. Carolin. {\bf 33} (1992), 505--523] has introduced the co...
We extend some results of Marmi\u2013Moussa\u2013Yoccoz on the cohomological equations and local con...
AbstractSemi-hyperbolic mappings in Banach spaces are Lipschitz continuous and not necessarily inver...
Certain elliptic equations arising in catalysis theory can be transformed into ordinary differential...
ABSTRACT. We prove that the solutions of the cohomological equation for Roth type interval exchange ...
In this paper, we further the study of super and δ-continuities using δ-open and θ-open sets. ...
International audienceThe Arnoux-Rauzy systems are defined in [5], both as symbolic systems on three...
International audienceThe Arnoux-Rauzy systems are defined in [5], both as symbolic systems on three...
PreprintIt is well known that a continuous piecewise monotone interval map with positive topological...
In this article, we provide sufficient conditions on a self-similar interval exchange map, whose ren...
Abstract. Let f1 and f2 be rational maps with Julia sets J1 and J2, and let Ψ: J1 → P1 be any contin...
Abstract. Hausdorff continuous (H-continuous) functions are special interval-valued functions which ...
We present a complete bi-Lipschitz classification of germs of semialgebraic curves (semialgebraic se...
International audienceWe consider a substitution associated with the Arnoux-Yoccoz interval exchange...
A standard interval exchange map is a one-to-one map of the interval that is locally a translation e...
summary:F. van Gool [Comment. Math. Univ. Carolin. {\bf 33} (1992), 505--523] has introduced the co...
We extend some results of Marmi\u2013Moussa\u2013Yoccoz on the cohomological equations and local con...
AbstractSemi-hyperbolic mappings in Banach spaces are Lipschitz continuous and not necessarily inver...
Certain elliptic equations arising in catalysis theory can be transformed into ordinary differential...
ABSTRACT. We prove that the solutions of the cohomological equation for Roth type interval exchange ...
In this paper, we further the study of super and δ-continuities using δ-open and θ-open sets. ...
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