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math-ph2022★ 5 cited
Differences between Robin and Neumann eigenvalues on metric graphs
Ram Band, Holger Schanz, Gilad Sofer
We consider the Laplacian on a metric graph, equipped with Robin (-type) vertex condition at some of the graph vertices and Neumann-Kirchhoff condition at all others. The corres…
nlin.CD2022★ 23 cited
A novel concept of fractal dimension in deterministic and stochastic Lorenz-63 systems
Tommaso Alberti, Davide Faranda, Valerio Lucarini +3
Many natural systems show emergent phenomena at different scales, leading to scaling regimes with signatures of chaos at large scales and an apparently random behavior at small sca…