24 citations · 93 across the 20 of their papers we have counts for
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math.CO2017★ 10 cited
Sandpile solitons via smoothing of superharmonic functions
Nikita Kalinin, Mikhail Shkolnikov
Let be the pointwise minimum of several linear functions. The theory of smoothing of integer-valued superharmonic function allows us to prove that unde…
math.CO2017★ 9 cited
Introduction to tropical series and wave dynamic on them
Nikita Kalinin, Mikhail Shkolnikov
The theory of tropical series, that we develop here, firstly appeared in the study of the growth of pluriharmonic functions. Motivated by waves in sandpile models we introduce a dy…