Results 1 - 10 of 992

FOR MULTIMODAL MAPS

by Sebastian Van Strien, Edson Vargas, See Profile
"... 2 authors: ..."
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2 authors:

Renormalization Theory For Multimodal Maps

by Daniel Smania - Eletronic Preprint, IMPA , 2001
"... We study the dynamics of the renormalization operator for multimodal maps. In particular, we develop a combinatorial theory for certain kind of multimodal maps. We also prove that renormalizations of innitely renormalizable multimodal maps with same bounded combinatorial type are exponentially c ..."
Abstract - Cited by 4 (4 self) - Add to MetaCart
We study the dynamics of the renormalization operator for multimodal maps. In particular, we develop a combinatorial theory for certain kind of multimodal maps. We also prove that renormalizations of innitely renormalizable multimodal maps with same bounded combinatorial type are exponentially

DIMENSION THEORY FOR MULTIMODAL MAPS

by Godofredo Iommi, Mike Todd
"... Abstract. This paper is devoted to the study of dimension theory, in particular multifractal analysis, for multimodal maps. We describe the Lyapunov spectrum, generalising previous results by Todd. We also study the multifractal spectrum of pointwise dimension. The lack of regularity of the thermody ..."
Abstract - Cited by 8 (1 self) - Add to MetaCart
Abstract. This paper is devoted to the study of dimension theory, in particular multifractal analysis, for multimodal maps. We describe the Lyapunov spectrum, generalising previous results by Todd. We also study the multifractal spectrum of pointwise dimension. The lack of regularity

1 RENORMALIZATION THEORY FOR MULTIMODAL MAPS

by Daniel Smania , 2001
"... Abstract. We study the dynamics of the renormalization operator for multimodal maps. In particular, we prove the exponential convergence of this operator for infinitely renormalizable maps with same bounded combinatorial type. 1. ..."
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Abstract. We study the dynamics of the renormalization operator for multimodal maps. In particular, we prove the exponential convergence of this operator for infinitely renormalizable maps with same bounded combinatorial type. 1.

PHASE SPACE UNIVERSALITY FOR MULTIMODAL MAPS

by Daniel Smania
"... Abstract. We study the dynamics of the renormalization operator for multi-modal maps. In particular, we develop a combinatorial theory for certain kind of multimodal maps. We also prove that renormalizations of infinitely renor-malizable multimodal maps with same bounded combinatorial type are expo- ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
Abstract. We study the dynamics of the renormalization operator for multi-modal maps. In particular, we develop a combinatorial theory for certain kind of multimodal maps. We also prove that renormalizations of infinitely renor-malizable multimodal maps with same bounded combinatorial type are expo

Multifractal analysis for multimodal maps

by Mike Todd
"... Abstract. Given a multimodal interval map f: I → I and a Hölder potential ϕ: I → R, we study the dimension spectrum for equilibrium states of ϕ. The main tool here is inducing schemes, used to overcome the presence of critical points. The key issue is to show that enough points are ‘seen ’ by a clas ..."
Abstract - Cited by 7 (3 self) - Add to MetaCart
Abstract. Given a multimodal interval map f: I → I and a Hölder potential ϕ: I → R, we study the dimension spectrum for equilibrium states of ϕ. The main tool here is inducing schemes, used to overcome the presence of critical points. The key issue is to show that enough points are ‘seen ’ by a

Natural equilibrium states for multimodal maps

by Godofredo Iommi, Mike Todd - Comm. Math. Phys
"... Abstract. This paper is devoted to the study of the thermodynamic formalism for a class of real multimodal maps. This class contains, but it is larger than, Collet-Eckmann. For a map in this class, we prove existence and uniqueness of equilibrium states for the geometric potentials −tlog |Df|, for t ..."
Abstract - Cited by 11 (4 self) - Add to MetaCart
Abstract. This paper is devoted to the study of the thermodynamic formalism for a class of real multimodal maps. This class contains, but it is larger than, Collet-Eckmann. For a map in this class, we prove existence and uniqueness of equilibrium states for the geometric potentials −tlog |Df

Multimodal maps: An agent-based approach

by Adam Cheyer, Luc Julia - International Conference on Cooperative Multimodal Communication (CMC/95 , 1995
"... Abstract. In this paper, we discuss how multiple input modalities may be combined to produce more natural user interfaces. To illustrate this technique, we present a prototype map-based application for a travel planning domain. The application is distinguished by a synergistic combination of handwri ..."
Abstract - Cited by 67 (28 self) - Add to MetaCart
Abstract. In this paper, we discuss how multiple input modalities may be combined to produce more natural user interfaces. To illustrate this technique, we present a prototype map-based application for a travel planning domain. The application is distinguished by a synergistic combination

Quasi-symmetric invariance of S-multimodal maps ∗

by Li Chenxin , 2001
"... The Collet-Eckmann condition is crucial in the study of maps with neg-ative Schwarzian derivatives. Therefore, we provided a geometrical charac-terization of Collet-Eckmann condition of the S-multimodal maps and use it proved that Collet-Eckmann condition is a quasi-symmetric (topologi-cal) invarian ..."
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The Collet-Eckmann condition is crucial in the study of maps with neg-ative Schwarzian derivatives. Therefore, we provided a geometrical charac-terization of Collet-Eckmann condition of the S-multimodal maps and use it proved that Collet-Eckmann condition is a quasi-symmetric (topologi-cal

Complex bounds for multimodal maps: bounded combinatorics. Nonlinearity

by Daniel Smania , 2001
"... Abstract. We proved the so called complex bounds for multimodal, infinitely renormalizable analytic maps with bounded combinatorics: deep renormalizations have polynomial-like extensions with definite modulus. The complex bounds is the first step to extend the renormalization theory of unimodal maps ..."
Abstract - Cited by 6 (4 self) - Add to MetaCart
Abstract. We proved the so called complex bounds for multimodal, infinitely renormalizable analytic maps with bounded combinatorics: deep renormalizations have polynomial-like extensions with definite modulus. The complex bounds is the first step to extend the renormalization theory of unimodal
Results 1 - 10 of 992