The quality of food is one of the emergent points worldwide. Many microorganisms produce toxins that are harmful for human and animal health. In particular, mycotoxins from Fusarium fungi are strictly controlled in cereals.
View Article and Find Full Text PDFIt is known that maximal entropy random walks and partition functions that count long paths on graphs tend to become localized near nodes with a high degree. Here, we revisit the simplest toy model of such a localization: a regular tree of degree with one special node ("root") that has a degree different from all the others. We present an in-depth study of the path-counting problem precisely at the localization transition.
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