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The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy. (English) Zbl 1311.82044
The authors introduce and analyze $$d-$$dimensional Coulomb gases with random charge distribution and general external confining potential. It is demonstrated that heterogeneous gases show substantially different phenomenology compared to homogeneous gases.

##### MSC:
 82D05 Statistical mechanical studies of gases 60F10 Large deviations 78A30 Electro- and magnetostatics 82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics
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