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math.CO2011★ 2 cited
Inverse problem in cylindrical electrical networks
Thomas Lam, Pavlo Pylyavskyy
In this paper we study the inverse Dirichlet-to-Neumann problem for certain cylindrical electrical networks. We define and study a birational transformation acting on cylindrical e…
math.RT2011★ 20 cited
Electrical networks and Lie theory
Thomas Lam, Pavlo Pylyavskyy
We introduce a new class of "electrical" Lie groups. These Lie groups, or more precisely their nonnegative parts, act on the space of planar electrical networks via combinatorial o…