Do people knows where to find the works ALEXANDER IACOVLEVICH KHINCHIN especially his 1937

05 May 2016 6 5K Report

Do people know where to find the works of ALEXANDER IACOVLEVICH KHINCHIN, especially his 1937 papers. Apparently he works on a frequentist account of probability that did not make use or require von mises axiom of randomness (so i presume he allowed and maybe took advantage of place selection functions) in some odd way. OF course from a single case propensity perspective one can still have process randomness, pre-ante- (ie prior to their being any such frequency or trial outcome results) such that the system is immune to ordering problems relating to the ordering of pre-outcome trials, because any such sub collective (by itself and not part of large system) if trialled at such time before there are any results will necessarily lead to the same distribution given the appropriate model. It is only when such sub collectives are part of a larger collective that product randomness is violated for those sub collectived but that is not an issue, as that just an artefact to make sure the ex ante frequencies resulting from the the process randomness of the entire collective, at such time that it is still an indeterministic process (before there are any results) leads to the correct frequency stabilization- ie product randomness, ie to take into account deviations of other sub collectives)

Here are some of them

"A new derivation of a formula of P. Levy," Bull. Moscow Cov. Univ., Vol. 1 (1937),

pp. 1-5.

[82] "On the arithmetic of distribution laws," Bull. Moscow Gov. Univ., Vol. 1 (1937), pp. 6-17.

[83] "On a property of characteristic functions," Bull. Moscow GoC. Univ., Vol. 5 (1937),

pp. 1-3.

[84] "Invariant classes of distribution laws," Bull. Moscow Gov. Univ., Vol. 5 (1937), pp. 4-5.

[85] "Examples of random variables satisfying stable probability laws," EUll. Mocowu Gov.

UTniv., Vol. 5 (1937), pp. 6-9.

[86] "Sur les lois stables" (jointly with P. L6vy), C. R. A cad. sSci. IParis, Vol. 202 (1937),

pp. 374-376.

[87] "Ueber die angeneherte Auflosung linearer Gleichungeni in ganzen Zahlen," Acta Arith.,

Vol. 2 (1937), pp. 161-172.

[88] "Ueber singuliire Zahlensysteme," Composstio Math., Vol. 4 (1937), pp. 424-431.

[89] "Abschatzungen beim Kroneckerschen Approximationensatz," Bull. Inst. Math. Tomsk,

Vol. 1 (1937), pp. 263-265.

[90] "Ueber Klassenkonvergenz von Verteilungsgesetzen," Bull. Inst. Math. To7sk, V'ol. 1

(1937), pp. 258-

Dominik Strzałka

I've found only this

http://philpapers.org/rec/KHIMFO

I think that the best way is to write an e-mail to someone who works in Tomsk Polytechnic University. On page http://tpu.ru/en/structure/institutes/pt/ you will find a lot of useful information.

Dominik Strzałka

A paper

"Ueber die angeneherte Auflosung linearer Gleichungeni in ganzen Zahlen," Acta Arith., Vol. 2 (1937), pp. 161-172.

is here

https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/2/2

http://matwbn.icm.edu.pl/ksiazki/aa/aa2/aa221.pdf

This is Polish Journal, so if you have any problems I can help you.

Dominik Strzałka

A paper

"Ueber singuliire Zahlensysteme," Composstio Math., Vol. 4 (1937), pp. 424-431.

can be taken from page

http://archive.numdam.org/ARCHIVE/CM/CM_1937__4_/CM_1937__4__424_0/CM_1937__4__424_0.pdf

http://www.numdam.org/numdam-bin/feuilleter?id=CM_1937__4_

Dominik Strzałka

If you want papers from Bull. Moscow Gov. Univ.,

see this

page http://new.math.msu.su/vestnik/English/start-in-fr.html

and write e-mail to

Allerton Press, Inc.

250 West 57th Street New York, NY 10107

Tel: 212-459-0535

Fax: 646-424-9695

e-mail: [email protected]

Dmitry Gromov

Hi! Look here

http://www.mathnet.ru/php/person.phtml?option_lang=rus&personid=26863

Many paper can be downloaded. Key words: "Полный текст:" (= full text)

Dmitry Gromov

Here is one paper from 1937

http://www.mathnet.ru/links/438d09219b7ab69123d3810fa769399a/sm5562.pdf

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