scholarly journals Observing expansive maps

2018 ◽  
Vol 98 (3) ◽  
pp. 501-516
Author(s):  
Mauricio Achigar ◽  
Alfonso Artigue ◽  
Ignacio Monteverde
Keyword(s):  
Expansive Maps

Asymptotic estimates for the periods of periodic points of non-expansive maps

2003 ◽  
Vol 23 (4) ◽  
pp. 1199-1226 ◽  
Author(s):  
ROGER D. NUSSBAUM ◽  
SJOERD M. VERDUYN LUNEL
Keyword(s):  
Periodic Points ◽  
Asymptotic Estimates ◽  
Expansive Maps

scholarly journals On J -Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Jerolina Fernandez ◽  
Neeraj Malviya ◽  
Vahid Parvaneh ◽  
Hassen Aydi ◽  
Babak Mohammadi
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Expansive Maps ◽  
Cone Metric

In the present paper, we define J -cone metric spaces over a Banach algebra which is a generalization of G p b -metric space ( G p b -MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and an application are given at the end to support the usability of our results.

scholarly journals KMS states on C*-algebras associated to expansive maps

2006 ◽  
Vol 134 (7) ◽  
pp. 2067-2078 ◽  
Author(s):  
Alex Kumjian ◽  
Jean Renault
Keyword(s):  
Kms States ◽  
C Algebras ◽  
Expansive Maps

scholarly journals On bijections, isometries and expansive maps

2016 ◽  
Vol 23 (1) ◽  
pp. 57-61
Author(s):  
Alessandro Fedeli ◽  
Attilio Le Donne
Keyword(s):  
Expansive Maps

Fractals in the Large

1998 ◽  
Vol 50 (3) ◽  
pp. 638-657 ◽  
Author(s):  
Robert S. Strichartz
Keyword(s):  
Invariant Measure ◽  
Power Series ◽  
Metric Space ◽  
Iterated Function System ◽  
Invariant Set ◽  
Invariant Sets ◽  
Iterated Function ◽  
Positive Weights ◽  
Self Similar ◽  
Expansive Maps

AbstractA reverse iterated function system (r.i.f.s.) is defined to be a set of expansive maps ﹛T1,…, Tm﹜ on a discrete metric space M. An invariant set F is defined to be a set satisfying , and an invariant measure μ is defined to be a solution of for positive weights pj. The structure and basic properties of such invariant sets and measures is described, and some examples are given. A blowup ℱ of a self-similar set F in ℝn is defined to be the union of an increasing sequence of sets, each similar to F. We give a general construction of blowups, and show that under certain hypotheses a blowup is the sum set of F with an invariant set for a r.i.f.s. Some examples of blowups of familiar fractals are described. If μ is an invariant measure on ℤ+ for a linear r.i.f.s., we describe the behavior of its analytic transform, the power series on the unit disc.

scholarly journals REVERSE ITERATED FUNCTION SYSTEM AND DIMENSION OF DISCRETE FRACTALS

2009 ◽  
Vol 79 (1) ◽  
pp. 37-47 ◽  
Author(s):  
QI-RONG DENG
Keyword(s):  
Iterated Function System ◽  
Invariant Set ◽  
Function System ◽  
Computation Method ◽  
Iterated Function ◽  
Expansive Maps

AbstractA reverse iterated function system is defined as a family of expansive maps {T1,T2,…,Tm} on a uniformly discrete set $M\subset \Bbb {R}^d$. An invariant set is defined to be a nonempty set $F\subseteq M$ satisfying F=⋃ j=1mTj(F). A computation method for the dimension of the invariant set is given and some questions asked by Strichartz are answered.

Sign in / Sign up

Export Citation Format

Share Document