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Percolation for 2D Classical Heisenberg Model and Exit Sets of Vector Valued GFF.
Commun Math Phys
January 2025
Centro de Modelamiento Matemático (AFB170001), UMI-CNRS 2807, Universidad de Chile, Beauchef 851, Santiago, Chile.
Our motivation in this paper is twofold. First, we study the geometry of a class of exploration sets, called , which are naturally associated with a 2D vector-valued Gaussian Free Field : . We prove that, somewhat surprisingly, these sets are a.
View Article and Find Full Text PDFSimultaneous Emergent Phenomena: Leadership and Team Synchrony.
Nonlinear Dynamics Psychol Life Sci
January 2025
Marquette University, Milwaukee, WI.
Emergent phenomena exhibit interesting dynamics when considered individually. The present article examines two emergent processes that could be occurring simultaneously in an intense team interaction: the emergence of leaders and the emergence of autonomic synchrony within teams making dynamic decisions. In the framework of panarchy theory and related studies on complex systems, autonomic synchrony would be a fast dynamic that is shaped or controlled by leadership emergence, which is a slower dynamic.
View Article and Find Full Text PDFAutocatalytic Nucleation and Self-Assembly of Inorganic Nanoparticles into Complex Biosimilar Networks.
Angew Chem Int Ed Engl
December 2024
Center of Complex Particle Systems (COMPASS), University of Michigan, Ann Arbor, USA.
Self-replication of bioorganic molecules and oil microdroplets have been explored as models in prebiotic chemistry. An analogous process for inorganic nanomaterials would involve the autocatalytic nucleation of metal, semiconductor, or ceramic nanoparticles-an area that remains largely uncharted. Demonstrating such systems would be both fundamentally intriguing and practically relevant, especially if the resulting particles self-assemble into complex structures beyond the capabilities of molecules or droplets.
View Article and Find Full Text PDFFractal analysis and assessment of lacunarity in mandibular osteoradionecrosis: a cross-sectional study with control group.
Braz Oral Res
December 2024
Universidade Federal de Minas Gerais - UFMG, School of Dentistry, Department of Oral Pathology and Surgery, Belo Horizonte, MG, Brazil.
Article Synopsis
- - The study aimed to compare the fractal dimension (FD) and lacunarity of mandibular bone in patients with osteoradionecrosis (ORN) versus those without, using digital panoramic radiographs and ImageJ software for analysis.
- - A total of 25 patients were divided into two groups (14 with ORN and 11 without), and while FD and lacunarity values were similar across groups, certain thresholds were identified that helped differentiate between the two populations.
- - Although the differences in FD and lacunarity were not statistically significant, the effect sizes suggest potential clinical relevance, indicating that these measurements could be useful in evaluating bone health post-radiotherapy.
Anomalous scaling of branching tidal networks in global coastal wetlands and mudflats.
Nat Commun
November 2024
State Key Laboratory of Estuarine and Coastal Research, East China Normal University, Shanghai, China.
Branching networks are key elements in natural landscapes and have attracted sustained research interest across the geosciences and numerous intersecting fields. The prevailing consensus has long held that branching networks are optimized and exhibit fractal properties adhering to power-law scaling relationships. However, tidal networks in coastal wetlands and mudflats exhibit scaling properties that defy conventional power-law descriptions, presenting a longstanding enigma.
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