For Markov loop ensembles on finite graphs, the paper obtains the joint distribution of the second homology of loops, expressed through a limit of determinants via nilpotent holonomy.
Zeta functions of finite grap hs
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On discrete loop signatures and Markov loops topology
For Markov loop ensembles on finite graphs, the paper obtains the joint distribution of the second homology of loops, expressed through a limit of determinants via nilpotent holonomy.