Stability of the LCD Model
Zhenting Hou, Li Tan, Dinghua Shi
TL;DR
This paper rigorously proves the existence and provides a precise expression for the degree distribution in the LCD model using Markov chain first-passage probabilities.
Contribution
It offers a strict proof of degree distribution existence and a detailed expression for the LCD model, enhancing theoretical understanding.
Findings
Confirmed the existence of degree distribution in the LCD model
Derived a precise formula for the degree distribution
Strengthened theoretical foundations of the LCD model
Abstract
In this paper, first-passage probability of Markov chains is used to get a strict proof of the existence of degree distribution of the LCD model presented by Bollobas (Random Structures and Algorithms 18(2001)). Also, a precise expression of degree distribution is presented.
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Taxonomy
TopicsMarkov Chains and Monte Carlo Methods · Mathematical Dynamics and Fractals · Stochastic processes and statistical mechanics