Results 31 to 40 of about 156,340 (332)
From Fractal Groups to Fractal Sets [PDF]
, 2003 This paper is a survey, with few proofs, of ideas and notions related to self-similarity of groups, semi-groups and their actions. It attempts to relate these concepts to more familiar ones, such as fractals, self-similar sets, and renormalizable dynamical systems.
Bartholdi, Laurent +2 more
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A Brief Survey of Paradigmatic Fractals from a Topological Perspective
Fractal and Fractional, 2023 The key issues in fractal geometry concern scale invariance (self-similarity or self-affinity) and the notion of a fractal dimension D which exceeds the topological dimension d.
Julián Patiño Ortiz +3 more
doaj +1 more source
New Journal of Physics, 2020 Abstract We analyse the spatial inhomogeneities (‘spatial clustering’) in the distribution of particles accelerated by a force that changes randomly in space and time. To quantify spatial clustering, the phase-space dynamics of the particles must be projected to configuration space.
Meibohm, Jan +3 more
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Self-Assembly of 4-sided Fractals in the Two-handed Tile Assembly Model
, 2018 We consider the self-assembly of fractals in one of the most well-studied models of tile based self-assembling systems known as the Two-handed Tile Assembly Model (2HAM).
D Doty +16 more
core +1 more source
Using Fractals in Information Hiding [PDF]
Engineering and Technology Journal, 2009 Fractals are generated by simple, recursive calculations. Encryption anddecryption algorithms that take advantage of fractals are developed. This paper presents a new approach for information hiding using iterated function system (IFS) this approach ...
Nadia M. Al-Saidie, Thanaa A. Kadhim
doaj +1 more source
Exact calculations of first-passage quantities on recursive networks
, 2012 We present general methods to exactly calculate mean-first passage quantities on self-similar networks defined recursively. In particular, we calculate the mean first-passage time and the splitting probabilities associated to a source and one or several ...
A. Barrat +7 more
core +1 more source
On certain families of planar patterns and fractals
, 2017 This survey article is dedicated to some families of fractals that were introduced and studied during the last decade, more precisely, families of Sierpi\'nski carpets: limit net sets, generalised Sierpi\'nski carpets and labyrinth fractals.
Cristea, Ligia L.
core +1 more source
Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals
, 2009 We provide two methods for constructing smooth bump functions and for smoothly cutting off smooth functions on fractals, one using a probabilistic approach and sub-Gaussian estimates for the heat operator, and the other using the analytic theory for p.c ...
Rogers, Luke G +2 more
core +1 more source
Chaos, Solitons & Fractals, 2001 We consider the recent description of elementary particles in terms of Quantum Mechanical Kerr-Newman Black Holes, a description which provides a rationale for and at the same time reconciles the Bohm-hydrodynamical formulation on the one hand and the Nelsonian stochastiic formulation on the other.
openaire +3 more sources
Algebraic features of algorithm composition for calculating fractal structure [PDF]
E3S Web of Conferences, 2020 The construction methods analysis of known geometric fractals allows us to reveal algebraic features of fractal algorithms composition. The main concept of the analysis results is fractal operators which are basic operations for constructing fractals of ...
Maikov K.A. +3 more
doaj +1 more source