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- W2914732426 abstract "We summarize features and results on the problem of the existence of Ground States for the Nonlinear Schrodinger Equation on doubly-periodic metric graphs. We extend the results known for the two--dimensional square grid graph to the honeycomb, made of infinitely-many identical hexagons. Specifically, we show how the coexistence between one--dimensional and two--dimensional scales in the graph structure leads to the emergence of threshold phenomena known as dimensional crossover." @default.
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- W2914732426 date "2019-01-29" @default.
- W2914732426 modified "2023-09-27" @default.
- W2914732426 title "Quantum graphs and dimensional crossover: the honeycomb." @default.
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