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Asymptotics of Divide-And-Conquer Recurrences Via Iterated Function Systems [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
Let $k≥2$ be a fixed integer. Given a bounded sequence of real numbers $(a_n:n≥k)$, then for any sequence $(f_n:n≥1)$ of real numbers satisfying the divide-and-conquer recurrence $f_n = (k-mod(n,k))f_⌊n/k⌋+mod(n,k)f_⌈n/k⌉ + a_n, n ≥k$, there is a unique ...
John Kieffer
doaj   +1 more source

Sensitivity of iterated function systems [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2016
The present work is concerned with the equicontinuity and sensitivity of iterated function systems (IFSs). Here, we consider more general case of IFSs, i.e. the IFSs generated by a family of relations.
F. Ghane   +3 more
semanticscholar   +1 more source

The three-loop equal-mass banana integral in ε-factorised form with meromorphic modular forms

open access: yesJournal of High Energy Physics, 2022
We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterated integral of ...
Sebastian Pögel   +2 more
doaj   +1 more source

Carcinomas and Carcinoid Tumors of the Lungs and Bronchi in Children and Adolescents: The EXPeRT Recommendations

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Primary lung carcinomas and bronchial carcinoid tumors (BC) are very rare malignancies in childhood. While typical BC and mucoepidermoid carcinomas are mostly low‐grade, localized tumors with a more favorable prognosis than in adults, necessitating avoidance of overtreatment, adenocarcinomas of the lung are often diagnosed at advanced disease ...
Michael Abele   +19 more
wiley   +1 more source

Scale-Free Fractal Interpolation

open access: yesFractal and Fractional, 2022
An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here.
María A. Navascués   +2 more
doaj   +1 more source

Iterated Reduced Cluster Functions

open access: yesReal Analysis Exchange, 2005
Let \(X\) and \(Y\) be topological spaces, let \(2^Y\) be the collection of all subsets of \(Y\), and let \(F: X\to 2^Y\) be a multifunction. For \(x\in X\) let \({\mathcal U}(x)\) be the family of all open neighborhoods of \(x\). Define the cluster function \(C( F; x)=\bigcap\{\text{cl}(F(U)): U\in{\mathcal U}(x)\}\) for \(x\in X\) and the reduced ...
openaire   +3 more sources

Orbital fuzzy iterated function systems

open access: yesFuzzy Sets and Systems, 2023
In this paper we introduce the concept of orbital fuzzy iterated function system and prove that the fuzzy operator associated to such a system is weakly Picard. An example is provided.
Alexandru Mihail, Irina Savu
openaire   +2 more sources

Exploring Preferences for a Digital Single‐Session Intervention for Adolescent Siblings of Youth With Cancer

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Adolescent siblings of children with cancer are at elevated risk for psychosocial problems. Unfortunately, various barriers such as limited family time and resources, conflicting schedules, and psychosocial staffing constraints at cancer centers hinder sibling access to support.
Christina M. Amaro   +10 more
wiley   +1 more source

On Product Neutrosophic Fractal Spaces and α-Density Theory with Arbitrarily Small and Controlled Error

open access: yesFractal and Fractional
In this manuscript, we present the classical Hutchinson–Barnsley theory on the product neutrosophic fractal spaces by utilizing an iterated function system, which is enclosed by neutrosophic Edelstein contractions and a finite number of neutrosophic b ...
Khaleel Ahmad   +4 more
doaj   +1 more source

Iterated function systems of logistic maps: synchronization and intermittency

open access: yesNonlinearity, 2018
We discuss iterated function systems generated by finitely many logistic maps, with a focus on synchronization and intermittency. We provide sufficient conditions for synchronization, involving negative Lyapunov exponents and minimal dynamics.
Neda Abbasi, M. Gharaei, A. Homburg
semanticscholar   +1 more source

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