24 citations · 91 across the 19 of their papers we have counts for
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math.AP2013★ 6 cited
Harmonic functions on the lattice: Absolute monotonicity and propagation of smallness
Gabor Lippner, Dan Mangoubi
In this work we establish a connection between two classical notions, unrelated so far: Harmonic functions on the one hand and absolutely monotonic functions on the other hand. We…
math.AP2013★ 1 cited
A gradient estimate for harmonic functions sharing the same zeros
Dan Mangoubi
Let u, v be two harmonic functions in the disk of radius two which have exactly the same set Z of zeros. We observe that the gradient of \log |u/v| is bounded in the unit disk by a…
math.AP2013
Li-Yau inequality on graphs
Frank Bauer, Paul Horn, Yong Lin +3
We prove the Li-Yau gradient estimate for the heat kernel on graphs. The only assumption is a variant of the curvature-dimension inequality, which is purely local, and can be consi…