Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Stabilization of Percolation Probability in Supercritical Regimes: A Measure Theoretic Approach

Version 1 : Received: 20 September 2024 / Approved: 20 September 2024 / Online: 20 September 2024 (16:06:57 CEST)

How to cite: Montgomery, R. M. Stabilization of Percolation Probability in Supercritical Regimes: A Measure Theoretic Approach. Preprints 2024, 2024091664. https://doi.org/10.20944/preprints202409.1664.v1 Montgomery, R. M. Stabilization of Percolation Probability in Supercritical Regimes: A Measure Theoretic Approach. Preprints 2024, 2024091664. https://doi.org/10.20944/preprints202409.1664.v1

Abstract

In this paper, we present a rigorous proof demonstrating the stabilization of percolation probability in supercritical regimes for percolation models. We analyze a sequence of expanding compact balls in ℝ

Keywords

Keywords: Percolation probability, supercritical regime, measure theory, Monotone Convergence Theorem, Fatou's Lemma, lattice models, infinite systems, statistical physics, compact balls, vanishing corrections.

Subject

Computer Science and Mathematics, Mathematics

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