In 1957, Anatolii Volodymyrovych Skorokhod began to lecture at Kiev University after his return
from Moscow, where he had his
postgraduate course. I was lucky to be among the first students at his lectures
and, later on, to work under his leadership at the Institute of Mathematics in
Kyiv and, for more than 30 years (from the end of 1950s), to observe the
process of birth and formation of the Kyiv probabilistic school and the
exceptional role played in this process by Skorokhod’s scientific activity, his
original ideas, and the exclusiveness of his personality.
At the third year of my studies, a new specialization ("probability
theory") was organized at the faculty, and 10 students of our group were
enrolled to it. Every semester, we had some special courses. Anatolii
Volodymyrovych constantly read special courses. We were quite diligent and also
attended his lectures at another, younger, course. That lectures were not
similar to those which he read for our group. They had a lot of new facts, and
even those facts that he gave at our lectures, were argued, as a rule,
differently.
In September 1960, six of us, fourth-year students, had a pleasant surprise: we
were recommended by the faculty students’ scientific society to the scientific
conference in Vilnius. Those were the
memorable days for me, really a holiday which is always with me. First of all,
we had the opportunity to become acquainted with Lithuania, such a
distinctive country, and to feel the patriotic spirit of the Lithuanians. On
the other hand, these days in Vilnius gathered all the best creative forces of
the Soviet Union, a large cohort of young talented persons, who worked in the
field of probability theory, so passionate, as if they shone by creative ideas.
Among other wonderful events of those days, I was very impressed by Skorokhod’s
lecture. He said about the estimation of probabilities that the sequence of
normalized sums of independent identically distributed random variables were
between certain curved boundaries. To solve this problem, he suggested to
replace the sequences of the sums by the values of the Brownian motion process
at certain random points of time such that the distributions of both the
sequences coincided. But we already knew these results from his lectures at the
special course! It turned out that these beautiful elegant theorems were his
own and were just born! But we believed that they were already well-known ...
So we opened that Anatolii Volodymyrovych had also acquainted us with his own
results at our special courses! [It is worth noting that the idea of
this Skorokhod’s result later on became the basis for a
new direction of research in the theory of random
processes and this
direction is called
“Skorokhod embedding problem”].
At the Kiev University, there was a tradition
of "The Last Bell". Before the last winter session, one of the
lecturers appealed to the students with a farewell speech. Moreover, the
students themselves elected the lecturer for the Last Bell speech and invited
him. In December 1961, the students of our course invited Skorokhod to read
such a lecture, because he was our first lecturer at 1957.
All the participants of this action (students and lecturers) gathered in the
large audience. Skorokhod’s speech was very bright and thoughtful. He spoke
about the nature of mathematics, its difference from other sciences. Its main
points are the following:
Mathematics has no authority. Mathematician never says: "This thought is
right, because some respectable person considered so”. In mathematics, each assertion
must be logically proven. Mathematics develops the logical thinking, so,
regardless of the need for its direct application, all the persons who need the
ability to think logically have to know mathematics. No wonder that
Abraham Lincoln being a President of the United States had studied the
"Geometry" by Euclid. Mathematics
contributes to the development of science in general, technology development,
and human development. In our progressive movement, we are going to build a
better society, and the role of mathematics will be increased with the time in
this track. Mathematics thrills, it has its own laws of development and its
uniqueness.
- "While you are young, - Skorokhod appealed to the audience, - and are
not burdened by the need to take care of the earnings for keeping the family,
try to penetrate deeper into the essence of mathematics and to appreciate its
beauty."
The official boss, the Dean of the faculty, did not like this speech. He had a
speech after Skorokhod and subjected the first speaker to a sharp criticism.
His was outraged by the indifference of the previous speaker in politics, who
did not even mention the benefits of our social system relative to a capitalism
and, speaking of a better future, did not even pronounced the word
"communism"! "This speech, - said the Dean, - could pronounce a
teacher from capitalist countries, such as, for example, the U.S.A."
We all were sitting as electrified. Finally, I could not stand and wrote a note
to the Dean that we, the students, did not agree with his assessment of
Skorokhod’s speech, that he spoiled us all the holiday of the Last Bell. After
reading my note, the Dean immediately went out. The meeting was closed
immediately.
I had considerable troubles because of my quick temper.
But this history gave rise to my civic enlightenment, understanding that there is an
extensive system of pressure on people in our society.
Halyna Syta