Fomenko A.T.
MATHEMATICAL IMPRESSIONS

AMS (American Mathematical Society), USA,Provedence, 1990.

POSTERS BY ANATOLY FOMENKO

Geometry and probability

No. 246, 1987

(General concepts in probability theory)

India ink and pencil on paper, 38 x47.5 cm.

In a field of dice that lie randomly about, a handful pop up like kernels of corn. On the horizon, mud is pouring and piling up into a mountainous form. This image is the last in a series of three works devoted to simulating probabilistic processes. In recent years, geometry and probability have grown together, creating an interesting union. It turns out that many classical geometric objects, such as curvature tensors and affine connections among others, have arisen rather naturally in probability theory. In the case of certain theorems, geometric language lends itself comfortably to their formulation. Indeed, an underlying theme of this image is the intrinsic unity of geometry and probability.


Geometry and probability