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arXiv · 2302.05876

Statistics of paths on graphs with two heavy roots

Z. D. Matyushina
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Abstract

The paper considers the behaviour of the number of paths of length $N$ on graphs with two heavy roots. Such vertices can be entropic traps. Numerical analysis is carried out for graphs with different degrees of root vertices. In the symmetric case, a numerical analysis of the number of paths is performed. It is found that localisation is observed with the same ratio of vertex degrees as in the case of a single root. An analysis of the entropy forces of interaction was also carried out for two roots.

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Z. D. Matyushina. 2023-02-12. Statistics of paths on graphs with two heavy roots. https://arxiv.org/abs/2302.05876

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