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Mixed tête-à-tête twists as monodromies associated with holomorphic function germs
(Reviews in Mathematical Physics, 2014-12-31)
We conclude our analysis of the linear response of charge transport in lattice systems of free fermions subjected to a random potential by deriving general mathematical properties of its conductivity at the macroscopic ...
Multiplicity and degree as bi‐Lipschitz invariants for complex sets
(Communications on Pure and Applied Mathematics, 2014-07-21)
Electric resistance in conducting media is related to heat (or entropy) production in the presence of electric fields. In this paper, by using Araki's relative entropy for states, we mathematically define and analyze the ...