V.P.Fomenko, T.G.Fomenko, A.T.Fomenko
AUTHOR'S INVARIANT FOR RUSSIAN LITERARY TEXTS

COMMENTARY of Professor A.T.Fomenko
(Russia, Moscow, Moscow StateUniversity, Faculty of Mathematics and Mechanics).

I suggest to the reader the results obtained by my parentsValentina Polikarpovna Fomenko and Timofei Grigor'evich Fomenko in1974-1981. This is the first English publication of their paper. Theshort Russian version of this work was published in 1983 in the book"Methods for quantitative analysis of narrative texts", Moscow, 1983,Academy of Sciences, Institute of Russian History, pp.86-109.

The main result obtained in the present paper is the finding of the"author's invariant" for Russian literary texts, which allows us todistinguish some authors and solve some problems connected withpossible plagiary. This result was obtained on the basis of somegeneral idea - statistical analysis of volume functions for narrativetexts. These volume functions were introduced in the paper [19], wherewere suggested some new empirico-statistical models for analysis ofevolution of the information in narrative texts. The development ofthese ideas can be found in the paper [20].

1. INTRODUCTION. SHORT HISTORY OF THE PROBLEM.

2. WHAT IS AUTHOR'S INVARIANT?

3. OUR APPROACH. SAMPLES AND STEPS.

4. NUMERICAL EXPERIMENT. LIST OF ANALYZED PARAMETERS.

5. LIST OF RUSSIAN AUTHORS AND THEIR TEXTS ANALYZED IN OUR EXPERIMENT

6. NUMERICAL EXPERIMENT

7. RESULTS OF EXPERIMENT

8. FREQUENCY OF FORM-WORDS IS THE AUTHOR'S INVARIANT

9. NUMERICAL EXAMPLES

10. HOW WE CAN APPLY THE DISCOVERED AUTHOR'S INVARIANT?

11. STATISTICAL ANALYSIS OF SHOLOHOV'S WRITINGS

12. CIRCUMSTANTIAL NOTICES - CHRONOLOGY AND VOLUME OF SHOLOHOV'S WRITINGS

13. ANALYSIS OF SOME KRUKOV'S TEXTS

14. DETAILED TABLE FOR DISTRIBUTION OF FORM-WORDS IN SHOLOHOV'S WRITINGS

REFERENCES

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