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Crossing estimates for the Ising model on general s‐embeddings

Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.
Abstract We prove Russo–Seymour–Welsh‐type crossing estimates for the FK–Ising model on general s‐embeddings whose origami map has an asymptotic Lipschitz constant strictly smaller than 1, provided it satisfies a mild non‐degeneracy assumption. This result extends the work of Chelkak and provides a general framework to prove that the usual connection ...
Rémy Mahfouf
wiley +1 more source

Graph fractal dimension and the structure of fractal networks. [PDF]

J Complex Netw, 2020
Skums P, Bunimovich L.
europepmc +1 more source

Asymptotic order of quantization for Cantor distributions in terms of Euler characteristic, Hausdorff and Packing measure

Journal of Mathematical Analysis and Applications, 2008
AbstractFor homogeneous one-dimensional Cantor sets, which are not necessarily self-similar, we show under some restrictions that the Euler exponent equals the quantization dimension of the uniform distribution on these Cantor sets. Moreover for a special sub-class of these sets we present a linkage between the Hausdorff and the Packing measure of ...
openaire +3 more sources

Microstructural properties within the amygdala and affiliated white matter tracts across adolescence. [PDF]