Results 61 to 70 of about 2,419 (215)

Parabolic Towers and the Asymptotic Geometry of the Mandelbrot Set [PDF]

open access: yes, 2023
Understanding the geometry of the Mandelbrot set has been a central pillar of holomorphic dynamics over the past four decades. Much of its structure is now understood, but a critical question remains unresolved: is the Mandelbrot set locally connected ...
Kapiamba, Alex
core   +1 more source

On the Mean Residual Life of Cantor-Type Distributions: Properties and Economic Applications

open access: yesAustrian Journal of Statistics, 2021
In this paper, we consider the mean residual life (MRL) function of the Cantor distribution and study its properties. We show that the MRL function is continuous at all points, locally decreasing at all points outside the Cantor set and has a unique ...
Stefanos Leonardos, Costis Melolidaksi
doaj   +1 more source

Araguainha Dome, Brazil: A polygonal impact structure due to a complex pre‐impact regional structural framework

open access: yesMeteoritics &Planetary Science, Volume 61, Issue 7, Page 1355-1385, July 2026.
Abstract We investigated the structural framework of the north–northwestern Paraná Basin in Brazil to test whether the pre‐impact structures in this region may have had any influence on the first‐order formation and morphostructure of the Araguainha impact structure (AIS).
Renato B. Bernardes   +5 more
wiley   +1 more source

The Critical Point Behind The Mandelbrot Set [PDF]

open access: yes, 1997
The classic Mandelbrot set gives information about the behavior of points under the iteration, or repeated application, of a family of complex-valued quadratic functions.
David Assaf, IV
core  

Fractal Generation via CR Iteration Scheme With S-Convexity

open access: yesIEEE Access, 2019
The visual beauty, self-similarity, and complexity of Mandelbrot sets and Julia sets have made an attractive field of research. One can find many generalizations of these sets in the literature.
Young Chel Kwun   +4 more
doaj   +1 more source

Baleen Whale Occurrence in the Waters Off Virginia and North Carolina, U.S.A. From 2001 to 2019

open access: yesMarine Mammal Science, Volume 42, Issue 3, July 2026.
ABSTRACT Eighteen years of visual survey and strandings data were used to describe baleen whale occurrence along the continental shelf of Virginia and North Carolina, U.S.A. This region experiences heavy anthropogenic use, which poses risks for mortality and injury to baleen whales. Between 2001 and 2019, six species of baleen whales were recorded, and
Sarah D. Mallette   +18 more
wiley   +1 more source

Calculation of the Structure of a Shrub in the Mandelbrot Set

open access: yesDiscrete Dynamics in Nature and Society, 2011
We calculate the external arguments of the structure of any shrub in the Mandelbrot set. Before calculating, we revise, expand, and clarify some tools useful for this paper: harmonics, pseudoharmonics, the concept of structure, the structure of a shrub ...
G. Pastor   +5 more
doaj   +1 more source

A Multivariate Method for Dynamic System Analysis: Multivariate Detrended Fluctuation Analysis Using Generalized Variance

open access: yesTopics in Cognitive Science, Volume 18, Issue 3, July 2026.
Abstract Fractal fluctuations are a core concept for inquiries into human behavior and cognition from a dynamic systems perspective. Here, we present a generalized variance method for multivariate detrended fluctuation analysis (mvDFA). The advantage of this extension is that it can be applied to multivariate time series and considers intercorrelation ...
Sebastian Wallot   +5 more
wiley   +1 more source

The Wire Is Not the Territory: Understanding Representational Drift in Olfaction With Dynamical Systems Theory

open access: yesTopics in Cognitive Science, Volume 18, Issue 3, July 2026.
Abstract Representational drift is a phenomenon of increasing interest in the cognitive and neural sciences. While investigations are ongoing for other sensory cortices, recent research has demonstrated the pervasiveness in which it occurs in the piriform cortex for olfaction.
Ann‐Sophie Barwich   +1 more
wiley   +1 more source

A Novel Multiband Fractal Antenna Based on Three-Dimensional Mandelbrot-Set Structure

open access: yesIEEE Open Journal of Antennas and Propagation
Mandelbrot fractals are a class of geometric structures characterized by non-integer dimensions, whose unique quasi-self-similarity provides fractal antennas with enhanced electrical lengths and diverse electromagnetic properties.
Xiao Yu Li, Yi Tao Huang, Mei Song Tong
doaj   +1 more source

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