Results 51 to 60 of about 6,037,193 (187)
The Symmetry in the Noise-Perturbed Mandelbrot Set
Symmetry, 2019 This paper investigates the destruction of the symmetrical structure of the noise-perturbed Mandelbrot set (M-set). By applying the “symmetry criterion” method, we quantitatively compare the damages to the symmetry of the noise-perturbed Mandelbrot set ...
Tianwen Sun, Da Wang
semanticscholar +1 more source
Energy Science &Engineering, Volume 13, Issue 11, Page 5373-5384, November 2025.This figure illustrates the multisegment fractal characteristics of the pores in the deep dolomite sample. ABSTRACT Deep dolomite reservoirs are predominantly tight reservoirs characterized by strong heterogeneity, which is primarily induced by various diagenetic processes such as dissolution, compaction, and cementation.
Zhao Zhang +3 more
wiley +1 more source
A Numerical Study on the Role of Wear During Seismic Cycles of Rough Faults
Journal of Geophysical Research: Solid Earth, Volume 130, Issue 11, November 2025.Abstract Fault zones mature through the accumulation of slip from multiple earthquakes and the wearing of contact asperities at multiple scales. This study examines how wear affects the evolution of fault seismicity, focusing on earthquake nucleation, recurrence, and moment partitioning.
Miguel Castellano +3 more
wiley +1 more source
On the Stability Domain of a Class of Linear Systems of Fractional Order
Fractal and Fractional, 2022 In this paper, the shape of the stability domain Sq for a class of difference systems defined by the Caputo forward difference operator Δq of order q∈(0,1) is numerically analyzed.
Marius-F. Danca
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Fractional Gaussian Noise: Spectral Density and Estimation Methods
Journal of Time Series Analysis, Volume 46, Issue 6, Page 1146-1174, November 2025.The fractional Brownian motion (fBm) process, governed by a fractional parameter H∈(0,1)$$ H\in \left(0,1\right) $$, is a continuous‐time Gaussian process with its increment being the fractional Gaussian noise (fGn). This article first provides a computationally feasible expression for the spectral density of fGn.
Shuping Shi, Jun Yu, Chen Zhang
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On the Mean Residual Life of Cantor-Type Distributions: Properties and Economic Applications
Austrian 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
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Asymmetric stable stochastic volatility models: estimation, filtering, and forecasting
Journal of Time Series Analysis, Volume 46, Issue 6, Page 1098-1124, November 2025.This article considers a stochastic volatility model featuring an asymmetric stable error distribution and a novel way of accounting for the leverage effect. We adopt simulation‐based methods to address key challenges in parameter estimation, the filtering of time‐varying volatility, and volatility forecasting.
Francisco Blasques +2 more
wiley +1 more source
Archaeometry, Volume 67, Issue 5, Page 1283-1308, October 2025.Abstract This study represents the first attempt to develop archaeometric software that enables researchers without programming knowledge to address archaeometric challenges, specifically determining the provenance of rocks extracted from ancient quarries.
Domenico Miriello, Raffaella De Luca
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lacunr: Efficient 3D lacunarity for voxelized LiDAR data from forested ecosystems
Methods in Ecology and Evolution, Volume 16, Issue 9, Page 1906-1913, September 2025.Abstract Structural complexity has been considered a key driver of ecological phenomena in forested ecosystems. Geographic metrics that attempt to summarize the heterogeneity of complex 3‐dimensional (3D) spatial structures, such as fractal dimension and rugosity, provide insights into ecological processes such as biodiversity, productivity and ...
Elliott A. Smeds +2 more
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Acquisition and Utilization of Recursive Rules in Motor Sequence Generation
Cognitive Science, Volume 49, Issue 9, September 2025.Abstract Recursive hierarchical embedding allows humans to generate multiple hierarchical levels using simple rules. We can acquire recursion from exposure to linguistic and visual examples, but only develop the ability to understand “multiple‐level” structures like “[[second] red] ball]” after mastering “same‐level” conjunctions like “[second] and ...
Maurício D. Martins +5 more
wiley +1 more source