101 citations · 389 across the 22 of their papers we have counts for
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math.NT2013
Arithmetic Differential Equations of Painleve' VI Type
Alexandru Buium, Yuri I. Manin
Using the description of Paileve' VI family of differential equations in terms of a universal elliptic curve, going back to R. Fuchs (cf. [Ma96]), we translate it into the realm of…
cs.CC2013★ 26 cited
Complexity vs Energy: Theory of Computation and Theoretical Physics
Yuri I. Manin
This paper is a survey dedicated to the analogy between the notions of {\it complexity} in theoretical computer science and {\it energy} in physics. This analogy is not metaphorica…
math.HO2013★ 6 cited
Kolmogorov complexity as a hidden factor of scientific discourse: from Newton's law to data mining
Yuri I. Manin
The word "complexity" is most often used as a meta--linguistic expression referring to certain intuitive characteristics of a natural system and/or its scientific description. Thes…