Fluctuations of cycles in a finite CW complex
نویسندگان
چکیده
We use algebraic topology to study the stochastic motion of cellular cycles in a finite CW complex. Inspired by statistical mechanics, we introduce homological observable called average current. The latter measures flux probability process. In low temperature, adiabatic limit, prove that current fractionally quantizes, which denominators are combinatorial invariants
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2022
ISSN: ['1565-8511', '0021-2172']
DOI: https://doi.org/10.1007/s11856-022-2303-9