Explosive percolation in finite dimensions
Explosive percolation (EP) has received significant research attention due to its rich and
anomalous phenomena near criticality. In our recent study [Phys. Rev. Lett. 130, 147101 …
anomalous phenomena near criticality. In our recent study [Phys. Rev. Lett. 130, 147101 …
A survey of fractal features of Bernoulli percolation
AS Balankin - Chaos, Solitons & Fractals, 2024 - Elsevier
This work is devoted to the fractal features of Bernoulli percolation in different space
dimensions. The focus is made on the fractal attributes associated with the connectivity …
dimensions. The focus is made on the fractal attributes associated with the connectivity …
Extended-range percolation in five dimensions
Z Xun, D Hao, RM Ziff - ar** discrete hyperspheres on hypercubic
lattices in dimension D= 3, 4, 5. Taking the continuum limit of the thresholds for discrete …
lattices in dimension D= 3, 4, 5. Taking the continuum limit of the thresholds for discrete …
Multiple and Asymmetric Scalings in Explosive Percolation
Explosive percolation in the Achlioptas process has recently attracted much research
attention. From extensive simulations in an event-based ensemble, we find that, in …
attention. From extensive simulations in an event-based ensemble, we find that, in …
A Walk through the Forest: the Geometry and Topology of Random Systems
N Halberstam - 2023 - repository.cam.ac.uk
We prove several theorems on the geometry and topology of random walks and random
forests, with analysis of the latter of these random systems often relying on analysis of the …
forests, with analysis of the latter of these random systems often relying on analysis of the …