Subadditive Pressure for IFS with Triangular Maps
نویسندگان
چکیده
منابع مشابه
MAGDM Problems with Correlation Coefficient of Triangular Fuzzy IFS
No part of this journal may be reproduced or used in any form or by any means without written permission from the publisher, except for noncommercial, educational use including classroom teaching purposes. Product or company names used in this journal are for identification purposes only. Inclusion of the names of the products or companies does not indicate a claim of ownership by IGI Global of...
متن کاملKneading Theory for Triangular Maps
Abstract. The main purpose of this paper is to present a kneading theory for two-dimensional triangular maps. This is done by defining a tensor product between the polynomials and matrices corresponding to the one-dimensional basis map and fiber map. We also define a Markov partition by rectangles for the phase space of these maps. A direct consequence of these results is the rigorous computati...
متن کاملA Generalization of Ifs with Probabilities to Innnitely Many Maps
This paper considers the problem of extending the notion of an IFS with probabilities from the case of nitely many maps in the IFS to the case of innnitely many maps. We prove that under an average contractiv-ity condition the IFS is contractive in the Monge-Kantorovich metric. We also show that the invariant distribution is continuous with respect to the parameters of the IFS. Furthermore, usi...
متن کاملContinuity of Subadditive Pressure for Self-affine Sets
A certain ‘pressure’ functional Φ(T1, . . . , TN ), defined as the limit of sums of singular value functions of products of linear mappings (T1, . . . , TN ), is central in analysing fractal dimensions of self-affine sets. We investigate the continuity of Φ with respect to the linear mappings (T1, . . . , TN ) which underlie the self-affine sets.
متن کاملElementary Maps on Triangular Algebras
In this note we prove that elementary surjective maps on triangular algebras are automatically additive. The study of elementary maps was initiated by Brešar and Šerml. Following ([1]), elementary maps are defined as follows. Definition 1. Let R and R be two rings. Suppose that M : R → R and M : R → R are two maps. Call the ordered pair (M,M) an elementary map of R×R if
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Polish Academy of Sciences Mathematics
سال: 2009
ISSN: 0239-7269,1732-8985
DOI: 10.4064/ba57-3-8