Under detailed balance, a finite-state master equation is equivalent to a discrete diffusion equation whose Laplacian is self-adjoint with respect to a weighted inner product.
Kubo, et Al, Statistical physics II , Springer (1991)
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Diffusion equations from master equations -- A discrete geometric approach --
Under detailed balance, a finite-state master equation is equivalent to a discrete diffusion equation whose Laplacian is self-adjoint with respect to a weighted inner product.