Interpretation of percolation in terms of infinity computations

DOI10.1016/j.amc.2011.11.044zbMath1252.82059arXiv1205.0691OpenAlexW1989257491MaRDI QIDQ440670

J. Herrera, H. S. Yoon

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0691

zbMATH Keywords

phase transitioninfinite setspercolation cluster

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) Critical phenomena in equilibrium statistical mechanics (82B27) Numerical algorithms for computer arithmetic, etc. (65Y04)

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Cites Work

• Numerical point of view on calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains
• Higher order numerical differentiation on the infinity computer
• Numerical computations and mathematical modelling with infinite and infinitesimal numbers
• On accuracy of mathematical languages used to deal with the Riemann zeta function and the Dirichlet eta function
• Using grossone to count the number of elements of infinite sets and the connection with bijections
• Numerosities of labelled sets: A new way of counting
• Methodology of Numerical Computations with Infinities and Infinitesimals
• A new applied approach for executing computations with infinite and infinitesimal quantities
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