M. Shkolnikov

activity

20102026

most citedSelf-Organized Criticality and Pattern Emergence through the lens of Tropical Geometry

24 citations · 108 across the 21 of their papers we have counts for

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2 papers · 1 filter

math.NT2017

Tropical formulae for summation over a part of SL(2, Z)

Nikita Kalinin, Mikhail Shkolnikov

Let $f (a, b, c, d) = a^{2} + b^{2} + c^{2} + d^{2} - (a + c)^{2} + (b + d)^{2}$ , let $(a, b, c, d)$ stand for $a, b, c, d \in Z_{\geq 0}$ such that $a d - b c = 1$ . Define \begin{equation} \label{…

math.NT2017★ 1 cited

The number $π$ and summation by $S L (2, Z)$

Nikita Kalinin, Mikhail Shkolnikov

We obtained a new formula for $π$ .

Tropical formulae for summation over a part of SL(2, Z)

The number π and summation by SL(2,Z)

The number $π$ and summation by $S L (2, Z)$