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Candidate Thesis

Supervisor: Professor L.G. Afanassieva

• Full text, 137 pages ps.gz [420k] pdf [1100k];

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• Review text, 20 pages ps.gz [137k] pdf [342k];

  Landscape version, two pages per sheet, 11 sheets ps.gz [138k]

• Texts, not included into the main body of PhD ps.gz [137k] pdf [342k]

PhD Thesis

Khmelev D.V. Rigidity Theory for Circle Homeomorphisms with Singularities. Cambridge/Edinburgh, 2002.

Supervisor: Professor K. Khanin

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• Official version, 172 pages ps.gz [523k] pdf [1265k]
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• Landscape one-sided printing, two pages per sheet, 77 pages ps.gz [526k]

PUBLICATIONS IN REFEREED JOURNALS

1. Khmelev D.V. Reconstruction of linear index expressions for reducing programs to a linear class//Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki. Rossiiskaya Akademiya Nauk, 1998, vol.38, pp.532-544. Translated in ``Computational Mathematics and Mathematical Physics'', 1998, vol. 38, No.3, pp.513-525. HTML, L^AT_EX, dvi, PS.

2. Khmelev D.V. Limiting theorems for asymmetrical transportation networks//Fundamental and Applied mathematics, 2001, vol.7, no.4, pp. 1259-1266 PS Abstract (in Russian) gif Abstract gif

3. Oseledets V.I., Khmelev D.V. Stochastic transportation networks and the stability of dynamical systems//Teoriya Veroyatnostei i ee Primeneniya, 2001, v.46, No.1, pp.147-154. Translated in `Theory of Probability and its Applications''. Text PS PDF

4. Oseledets V.I., Khmelev D.V. Global stability of infinite systems of nonlinear differential equations, and non-homogeneous countable Markov chains (in Russian)[Global'naya ustoichivost' beskonechnykh system nelineinykh differencial'nykh uravnenii]//Problemy Peredachi Informatsii, 2000, vol.36, no.1, pp.60-76. Translated in ``Problems of Information Transmission'', 2000, vol.36, no.1, pp.54-70 Text PS PDF PDF[engl., 2487kb]. See also Khmelev D.V. A couple of notices on strict non-uniform contraction.

5. Khmelev D.V. Markov chains and classification of text passages. (in Russian) [Raspoznavaniye avtora teksta s ispol'zovaniyem cepei A.A. Markova] Vestnik MGU, Ser.9:Philologiya, No 2, 2000, pp. 115-126. Text PS PDF (From Word PDF HTML RTF)

6. Khmelev D.V. Disputed Authorship Resolution through Using Relative Empirical Entropy for Markov Chains of Letters in Human Language Text//Journal of Quantitative Linguistics, 2000, Volume 7, No 3, pp.201-207. HTML MS Word

7. Kukushkina O.V., Polikarpov A.A., Khmelev D.V., Using Literal and Grammatical Statistics for Authorship Attribution (in Russian) [Opredeleniye avtorstva teksta s ispol'zovaniyem bukvennoi i grammaticheskoi informacii]//Problemy Peredachi Informatsii, 2001, vol.37, no.2, pp.96-108. Translated in ``Problems of Information Transmission'', pp. 172-184. Text in Russian in English PS (in Russian) PS (in English) PDF (in Russian) PDF (in English)

8. Khmelev D., Tweedie F. Using Markov Chains for Identification of Writers//Literary and Linguistic Computing, 2001, vol.16, no.4, pp.299-307. Text L^AT_EX PS PDF

9. Khanin K., Khmelev D., Rybko A., Vladimirov A. Steady solutions for FIFO networks//Moscow Mathematical Journal, vol.1, no.3, pp.407-419. PDF Local PDF.

10. Khmelev D.V., Spodarev E. Infinite closed Jackson networks. Proceedings of the Seminar on Stability Problems for Stochastic Models, Part III (Naleczow, 1999). J. Math. Sci. (New York) 106 (2001), no. 2, 2820-2829. PS from E.Spodarev's site and local version.

11. Khmelev D., Teahan W. Comment. Phys. Rev. Lett., 90(8), 2003. L^AT_EX PS PDF

12. Khanin K., Khmelev D. Renormalizations and Rigidity Theory for Circle Homeomorphisms with Singularities of the Break Type. Periodic Rotation Numbers. ``Communications in Mathematica Physics'' Volume 235, Number 1, April 2003. pp. 69 - 124. PDF(493 Kb)

13. Vladimirov A., Oseledets V.I., Rybko A. Khanin K.M., Khmelev D.V. A Nonlinear Generalization of Perron's theorem. ``Doklady Mathematics'', Vol.67, No. 2, 2003. In Russian: L^AT_EX L^AT_EX(in DOS encoding) PS PDF In English: L^AT_EX PS PDF

14. Khmelev D., Teahan W. A repetition based measure for verification of text collections and for text categorization. SIGIR'2003, July 28-August 1, 2003, Toronto, Canada. Text L^AT_EX PS PDF

15. Khmelev D. Periodic trajectories for homeomorphisms of the circle with two break-type singularities. Submitted to ``Ergodic Theory and Dynamical Systems''

16. Khanin K., Khmelev D., Sobolevskii A. On velocities of Lagrangian minimizers. Submitted to Moscow Mathematical Journal.

PROCEEDINGS AND PREPRINTS

1. Afanassieva L.G., Khmelev D.V. Large transportation networks with finite-dimensional state space. Asymptotic approach//Proc. of 7th Vilnus Conference on Math. Stat., 1998. Text L^AT_EX PS PDF

2. Afanassieva L.G., Khmelev D.V. Large transportation networks with a finite-dimensional state space//Teorija Verojatnostei i ee Primenenija 1999, vol.44, N1, p.157-158. Translated to English in ``Theory of Probability and its Applications'' 1999, vol.44, N1, p.142-143. Text in Russian PS (in Russian) PDF (in Russian)

3. Khmelev D.V., Oseledets V.I. Mean-field approximation for stochastic transportation network and stability of dynamical system//Technical Report 445, University of Bremen, June 1999. Preprint. PS and Abstract. Local PS and Abstract.

4. Khmelev D., Spodarev E. Stability of infinite closed Jackson networks//XX International Seminar on Stability Problems for Stochastic Models, Lublin - Naleczow, 5-11 September, 1999, Abstracts, p.85. PS from E.Spodarev's site and local version.

5. Khmelev D., Polikarpov A.A. Basic Assumptions about a Sign's Life Cycle for Mathematical Modelling of Language System Evolution//Proceedings of the fourth conference of the International Quantitative Linguistics Association edited by R.H. Baayen. Prague, August 24-26, 2000. Text L^AT_EX PS PDF

6. Khmelev D. Disputed Authorship Resolution Using Relative Empirical Entropy For Markov Chain of Letters in a Text//Proceedings of the fourth conference of the International Quantitative Linguistics Association edited by R.H. Baayen. Prague, August 24-26, 2000. Text L^AT_EX PS PDF

7. Khmelev D.V., Spodarev E. Infinite closed Jackson networks. Technical Report Math/Inf/00/07, Friedrich-Schiller-Universität Jena, April 2000. PS from E.Spodarev's site and local version. Published in the Journal of Mathematical Sciences (New York), for exact reference see above.

8. Khmelev D., Spodarev E. ``Non-homogeneous zero-range interaction processes'', resume of the contribution to the XX Seminar on Stability Problems for Stochastic Models, Lublin - Naleczow, september 5-11 1999. PS from E.Spodarev's site and local version.

9. Khmelev D.V. Complexity Approach to Disputed Authorship Attribution (In Russian: Slozhnostnoi podkhod k zadache opredeleniya avtorstva)//Proceedings of the International Congress ``Russian Language: Contemporaneity and Fates in History'', pp.426-427, Moscow, March 2001. HTML PDF RTF (MS Word)

10. Khmelev D., Teahan W. Comment on Reply. http://www.arxiv.org, cond-mat/0303261 L^AT_EX PS PDF

11. Khmelev D. Periodic Trajectories for Homeomorphisms of The Circle With Break-Type Singularities. Published in proceedings for ``Kolmogorov and Contemporary Mathematics'', Moscow, 2003, p.58. Text L^AT_EX PS PDF

12. Khmelev D. On Convergence To Equilibrium of Infinite Closed Jackson Networks. Published in proceedings for ``Kolmogorov and Contemporary Mathematics'', Moscow, 2003, p.466. Text L^AT_EX PS PDF

13. Malyutov M.B. , Khmelev D. Statistical Anomaly In The First Bi-Lines Of Shakespeare Sonnets. Published in proceedings for ``Kolmogorov and Contemporary Mathematics'', Moscow, 2003, p.490. Text L^AT_EX PS PDF

14. Sobolevskii A., Khanin K., Khmelev D. A variational approach to the Burgers turbulence in an unbounded domain. Published in proceedings for ``Kolmogorov and Contemporary Mathematics'', Moscow, 2003, p.757.

15. Khanin K., Khmelev D., Sobolevskii A. A blow-up Phenomenon in the Hamilton-Jacobi Equation in an Unbounded Domain. Proceedings of ``Idempotent Mathematics and Mathematical Physics'' workshop at the Erwin Schrödinger Institute in Vienna, 2003. To appear in ``Contemporary Mathematics'' series of AMS.

16. Khmelev D.V. Burrows-Wheeler Transformation, suffix array, and compression of dictionaries//The winner of the contest for the best compression-related paper at http://compression.ru. HTML PDF PS

IN PREPARATION

1. Khmelev D. Relaxation to equilibrium of an essentially finite zero-range process. (2002)

2. Khmelev D.V., Teahan W.J. Relative entropy estimators for multiple-choice classification. (2002)

UNPUBLISHED MANUSCRIPTS

1. Khmelev D.V. On program ``Repetitor''//http://zhurnal.lib.ru/h/hmelew_d_w/ Text PS PDF

2. Khmelev D. Rational Rotation Numbers for Homeomorphisms with Two Break-type Singularities. Text L^AT_EX PS PDF

3. Khmelev D.V. A couple of notices on strict non-uniform contraction. Text PS PDF

4. Khmelev D., Teahan W. How to Publish a Comment in PRL. True story. Text L^AT_EX PS PDF

5. Khmelev D.V. Infinite Assymetric Closed Jackson Network: convergence to equilibrium. L^AT_EX PS PDF