66 citations · 66 across the 4 of their papers we have counts for
4 papers
Spectrum of analytic continuation
David V. Ingerman
I will show that operator of analytic (harmonic) continuation on a lattice graph has a positive spectrum. I use a theorem about positivity of eigenvalues of totally positive matric…
The Square of the Dirichlet-to-Neumann map equals minus Laplacian
David V. Ingerman
The Dirichlet-to-Neumann maps connect boundary values of harmonic functions. It is an amazing fact that the square of the non-local Dirichlet-to-Neumann map for the uniform conduct…
Linearization of the inverse conductivity problem
David V. Ingerman
A positive function (conductivity) on the edges of a graph induces the Dirichlet-to- Neumann map between boundary values of harmonic functions. The inverse conductivity problem is…
Configurational transition in a Fleming-Viot-type model and probabilistic interpretation of Laplacian eigenfunctions
K. Burdzy, Robert Holyst, D. Ingerman +1
We analyze and simulate a two dimensional Brownian multi-type particle system with death and branching (birth) depending on the position of particles of different types. The system…