Results 51 to 60 of about 1,534 (98)
On bivariate Archimedean copulas with fractal support
Dependence ModelingDue to their simple analytic form (bivariate) Archimedean copulas are usually viewed as very smooth and handy objects, which should distribute mass in a fairly regular and certainly not in a pathological way. Building upon recently established results on
Sánchez Juan Fernández +1 more
doaj +1 more source
Subexponentially increasing sums of partial quotients in continued fraction expansions
, 2015 We investigate from a multifractal analysis point of view the increasing rate of the sums of partial quotients $S\_n(x)=\sum\_{j=1}^n a\_j(x)$, where $x=[a\_1(x), a\_2(x), \cdots ]$ is the continued fraction expansion of an irrational $x\in (0,1 ...
Liao, Lingmin, Rams, Michal
core +2 more sources
On bivariate fractal interpolation for countable data and associated nonlinear fractal operator
Demonstratio MathematicaFractal interpolation has been conventionally treated as a method to construct a univariate continuous function interpolating a given finite data set with the distinguishing property that the graph of the interpolating function is the attractor of a ...
Pandey Kshitij Kumar +2 more
doaj +1 more source
Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents [PDF]
, 2012 We study certain multiple ergodic averages of an iterated functions system generated by two contractions on the unit interval. By using the dynamical coding ${0,1}^{\mathbb{N}}$ of the attractor, we compute the Hausdorff dimension of the set of points ...
Liao, Lingmin, Rams, Michal
core +2 more sources
Products of Snowflaked Euclidean Lines Are Not Minimal for Looking Down
Analysis and Geometry in Metric Spaces, 2017 We show that products of snowflaked Euclidean lines are not minimal for looking down. This question was raised in Fractured fractals and broken dreams, Problem 11.17, by David and Semmes.
Joseph Matthieu, Rajala Tapio
doaj +1 more source
Regularity results for p-Laplacians in pre-fractal domains
Advances in Nonlinear Analysis, 2018 We study obstacle problems involving p-Laplace-type operators in non-convex polygons. We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal
Capitanelli Raffaela +2 more
doaj +1 more source
The strong maximum principle for Schrödinger operators on fractals
Demonstratio Mathematica, 2019 We prove a strong maximum principle for Schrödinger operators defined on a class of postcritically finite fractal sets and their blowups without boundary.
Ionescu Marius V. +2 more
doaj +1 more source
IFSs consisting of generalized convex contractions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we introduce the concept of iterated function system consisting of generalized convex contractions. More precisely, given n ∈ ℕ*, an iterated function system consisting of generalized convex contractions on a complete metric space (X; d) is
Georgescu Flavian
doaj +1 more source
Some Remarks on the Fractal Structure of Irrigation Balls
Advanced Nonlinear Studies, 2019 The paper is related to a conjecture by Pegon, Santambrogio and Xia concerning the dimension of the boundary of some sets which we are calling “irrigation balls”.
Devillanova Giuseppe, Solimini Sergio
doaj +1 more source
On the fast Khintchine spectrum in continued fractions
, 2012 For $x\in [0,1)$, let $x=[a_1(x), a_2(x),...]$ be its continued fraction expansion with partial quotients ${a_n(x), n\ge 1}$. Let $\psi : \mathbb{N} \rightarrow \mathbb{N}$ be a function with $\psi(n)/n\to \infty$ as $n\to \infty$. In this note, the fast
Ai-Hua, Fan +3 more
core +1 more source