Problems of Information Transmission, Vol. 38, No. 4, 2002, pp. 377–385. Translated from Problemy Peredachi Informatsii, No. 4, 2002, pp. 147–156.
Original Russian Text Copyright
2002 by Tikhomirov.
On the 100th Anniversary since the Birth
of Andrei Nikolaevich Kolmogorov
Leningrad, December 31, 1956
On the 26th, I did not get from you the write-out of the lecture on ε-nets and I told you that
I would manage with my personal notes. However, my lecture notes on ε-nets happen to be those
of January 9 and 11 only, and by having your write-out I would have saved some time preparing
them. Moreover, if I had the second part of Ya. Sinai’s work (lower bounds for N
in his case),
I would have exposed his results as well. Accordingly, I would be happy to receive
(a) from you the processing of the above-mentioned lectures and all kinds of your own results
(b) from Ya. Sinai the second part of his work;
the address to send it all to is
Leningrad 100, Lesnoi prospect 61, apt. 156
to Yuri Vladimirovich Linnik
This makes sense only if dispatched from Moscow not later than the 5th. In this case, I shall
receive it before my lecture on the 7th.
In Leningrad, the lectures on ε-nets are separated from the series of four lectures on infor-
mation theory in its probability setting (two of which I have already given) in order to give the
nonprobabilists an opportunity to listen to what they are interested in. About 100 people attend
the information theory course. Furthermore, I have made a report on the limit theorems with ε
in front of quite a small audience. Nevertheless, besides Yu.V. Linnik, there are Petrov,
Staulyavichus, Ibragimov, Richter, who work well in probability theory, so there was a seminar
with their talks.
After that, I have two lectures on the 2nd, and one each on the 4th, 5th, 7th, 9th, and 11th,
but from the 3rd to the 7th I will be mostly with Ibragimov in the holiday resort of LSU in
Zelenogorsk. Meanwhile, I visit museums with Yu.V. Prokhorov and P.S. Alexandrov. Recalling
our past conversation, I think that it would not be bad to take you along on a voyage like this.
If you are interested in nonmathematical contact with me, besides mathematical conversations
during the seminar meeting on the 15th and 16th, I would be eager to ﬁx in advance your arrival
in Komarovka for Friday evening, the 18th, or for the ﬁrst half of Saturday, the 19th.
Best regards for 1957,
We publish here two letters from Kolmogorov to V.M. Tikhomirov and a detailed commentary “A.N. Kol-
mogorov and Information Theory” by Tikhomirov.
2002 MAIK “Nauka/Interperiodica”