... The main direction is discrete complex analysis, additional directions are rational classification of embeddings and classification of circular surfaces. I. Discrete complex analysis. ... One of our past results was application of discrete complex analysis to description of all polygons which can be tiled by squares (with Prasolov, 2010). ... The first planned result is convergence of discrete harmonic functions on general lattices to a harmonic function when the lattice becomes finer and finer. ...
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