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- W4381551143 abstract "Universal representation of geometric patterns of disordered matters is investigated with the aid of general topology. By utilizing the result obtained in the previous study (S. Ohmori, et.al., Phys. Scr. 94, 105213 (2019)) that any patterns can be represented by a specific topological space, a construction of topological representation of patterns using Cantor set is shown. The obtained topological representations are then demonstrated by the contractions that characterize the self-similarity of Cantor set. For some practical geometric patterns, e.g., network, dendritic, and clusterized patterns, their topological representations are focused on." @default.
- W4381551143 created "2023-06-22" @default.
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- W4381551143 date "2023-06-16" @default.
- W4381551143 modified "2023-09-26" @default.
- W4381551143 title "Construction of topological representation of geometric patterns using Cantor self-similar set" @default.
- W4381551143 doi "https://doi.org/10.48550/arxiv.2306.10237" @default.
- W4381551143 hasPublicationYear "2023" @default.
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