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現代数学の系譜 工学物理雑談 古典ガロア理論も読む52

321 :現代数学の系譜 雑談 古典ガロア理論も読む :2018/08/13(月) 20:51:31.14 ID:LUqhd4ZE.net
>>314
遅レス失礼
>上のグラフのネルソンは確率量子化のネルソンかね

知らなかったが、調べると、そのようですね(下記)
https://en.wikipedia.org/wiki/Edward_Nelson
Edward Nelson (May 4, 1932 ? September 10, 2014) was a professor in the Mathematics Department at Princeton University. He was known for his work on mathematical physics and mathematical logic.
(抜粋)
Academic work
Stochastic quantum mechanics
Main article: Stochastic quantum mechanics
Nelson made contributions to the theory of infinite-dimensional group representations, the mathematical treatment of quantum field theory, the use of stochastic processes in quantum mechanics, and the reformulation of probability theory in terms of non-standard analysis.
For many years he worked on mathematical physics and probability theory, and he retained a residual interest in these fields, particularly in connection with possible extensions of stochastic mechanics to field theory.

Four color problem
Main articles: Hadwiger?Nelson problem and Four color theorem
In 1950, Nelson formulated a popular variant of the four color problem: What is the chromatic number, denoted {\displaystyle \chi } \chi , of the plane?
In more detail, what is the smallest number of colors sufficient for coloring the points of the Euclidean plane such that no two points of the same color are unit distance apart?[3]
We know by simple arguments that 4 ? χ ? 7. The problem was introduced to a wide mathematical audience by Martin Gardner in his October 1960 Mathematical Games column. The chromatic number problem, also now known as the Hadwiger?Nelson problem, was a favorite of Paul Erd?s, who mentioned it frequently in his problems lectures.
(引用終り)

つづく

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