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math.CO2018
Even and odd trees
Irina Busjatskaja, Yury Kochetkov
In this paper we at first consider plane trees with the root vertex and a marked directed edge, outgoing from the root vertex. For such trees we introduce a new characteristic ---…
math.CO2018
An easy proof of Polya's theorem on random walks
Yury Kochetkov
We present an easy proof of Polya's theorem on random walks: with the probability one a random walk on the two-dimensional lattice returns to the starting point.