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Novikov Aleksandr Aleksandrovich

Total publications: 91 (77)
in MathSciNet: 75 (74)
in zbMATH: 58 (57)
in Web of Science: 41 (37)
in Scopus: 25 (24)
Cited articles: 59
Citations in Math-Net.Ru: 174
Citations in Web of Science: 208
Citations in Scopus: 183
Presentations: 5

Number of views:
This page:2305
Abstract pages:8471
Full texts:2346
References:429
Professor
Doctor of physico-mathematical sciences (1982)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
E-mail:
Keywords: Martingales, Option Pricing, Optimal Stopping, Boundary Crossings
UDC: 519.2, 519.53, 519.24, 519.214, 519.21

Subject:

Probability Theory, Stochastic Processes, Stochastic Analysis, Financial Mathematics, Statistics

   
Main publications:
  • 1. Novikov, A., Kordzakhia, N. "Pitman Estimators: An Asymptotic Variance Revisited" Theory of Probability and its Applications 2013.
  • 2. Novikov, A., Kordzakhia, N., Ling, T.;:" Pricing of Volume-Weighted Average Options. " Inspired by Finance" Springer, 2013

http://www.mathnet.ru/eng/person23348
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:novikov.alexander-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/600851
http://elibrary.ru/author_items.asp?authorid=5332

Full list of publications:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |



   2018
1. Alexander Gushchin, Nino Kordzakhia, Alexander Novikov, “Translation invariant statistical experiments with independent increments”, Stat. Inference Stoch. Process., 21:2 (2018), 363–383  mathnet  crossref  mathscinet  scopus (cited: 1)
2. Nino E. Kordzakhia, Yury A. Kutoyants, Alexander A. Novikov, Lin-Yee Hin, “On limit distributions of estimators in irregular statistical models and a new representation of fractional Brownian motion”, Statist. Probab. Lett., 139 (2018), 141–151  mathnet  crossref  mathscinet  isi  scopus
3. Konstantin Borovkov, Yuliya Mishura, Alexander Novikov, Mikhail Zhitlukhin, “New and refined bounds for expected maxima of fractional Brownian motion”, Statist. Probab. Lett., 137 (2018), 142–147  mathnet  crossref  mathscinet  isi (cited: 1)  scopus

   2017
4. Konstantin Borovkov, Yuliya Mishura, Alexander Novikov, Mikhail Zhitlukhin, “Bounds for expected maxima of Gaussian processes and their discrete approximations”, Stochastics, 89:1 (2017), 21–37  mathnet  crossref  mathscinet  isi (cited: 1)  isi (cited: 1)  elib  scopus (cited: 2)
5. Nino Kordzakhia, Alexander Novikov, Bernard Ycart, “Approximations for weighted Kolmogorov–Smirnov distributions via boundary crossing probabilities”, Stat. Comput., 27 (2017), 1513 , 1523 pp.  mathnet  crossref  mathscinet  isi  elib  scopus (cited: 3)
6. A. A. Novikov, S. Alexander, N. E. Kordzahiya, T. Ling, “Pricing of asian-type and basket options via bounds”, Theory Probab. Appl., 61:1 (2017), 94–106  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2014
7. A. Novikov, A. N. Shiryaev, “Discussion on “Sequential Estimation for Time Series Models” by T. N. Sriram and Ross Iaci”, Sequential Anal., 33:2 (2014), 182–185  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
8. A. A. Novikov, N. E. Kordzahia, “Lower and upper bounds for prices of Asian-type options”, Proc. Steklov Inst. Math., 287:1 (2014), 225–231  mathnet  crossref  crossref  isi (cited: 6)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 6)

   2013
9. A. Novikov, A. Shiryaev, “Remarks on moment inequalities and identities for martingales”, Statist. Probab. Lett., 83:4 (2013), 1260–1261  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2014
10. A. A. Novikov, N. E. Kordzahiya, T. Ling, “On moments of Pitman estimators: the case of fractional Brownian motion”, Theory Probab. Appl., 58:4 (2014), 601–614  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  elib

   2013
11. U. Çetin, A. Novikov, A. N. Shiryaev, “Bayesian sequential estimation of a drift of fractional Brownian motion”, Sequential Anal., 32:3 (2013), 288–296  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 8)
12. A. A. Novikov, N. E. Kordzakhia, “Pitman estimators: an asymptotic variance revisited”, Theory Probab. Appl., 57:3 (2013), 521–529  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 4)

   2011
13. S. Christensen, A. Irle, A. Novikov, “An elementary approach to optimal stopping problems for $\mathrm{AR}(1)$ sequences”, Sequential Anal., 30:1 (2011), 79–93  crossref  mathscinet  zmath  isi (cited: 10)  elib (cited: 7)  scopus (cited: 11)

   2010
14. G. Mititelu, Y. Areepong, S. Sukparungsee, A. Novikov, “Explicit analytical solutions for average run length of CUSUM and EWMA charts”, East-West J. Math., 2010, no. Special Vol., 253–265  mathscinet  zmath
15. J. Hinz, A. Novikov, “On fair pricing of emission-related derivatives”, Bernoulli, 16:4 (2010), 1240–1261  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 9)
16. K. A. Borovkov, A. N. Downes, A. A. Novikov, “Continuity theorems in boundary crossing problems for diffusion processes”, Contemporary quantitative finance, Springer, Berlin, 2010, 335–351  crossref  mathscinet  zmath
17. R. Liptser, A. Novikov, A. G. Tartakovsky, “Celebrating Albert Shiryaev's 75th anniversary”, Sequential Anal., 29:2 (2010), 107–111  crossref  mathscinet  scopus

   2009
18. A. A. Novikov, “On Distributions of First Passage Times and Optimal Stopping of AR(1) Sequences”, Theory Probab. Appl., 53:3 (2009), 419–429  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 6)

   2008
19. A. N. Shiryaev, A. A. Novikov, “On a stochastic version of the trading rule “buy and hold””, Statist. Decisions, 26:4 (2008), 289–302  mathscinet  zmath
20. N. Kordzakhia, A. Novikov, “Pricing of defaultable securities under stochastic interest”, Mathematical control theory and finance, Springer, Berlin, 2008, 251–263  crossref  mathscinet  zmath  scopus
21. K. Borovkov, A. Novikov, “On exit times of Levy-driven Ornstein-Uhlenbeck processes”, Statist. Probab. Lett., 78:12 (2008), 1517–1525  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 10)
22. T. Schmidt, A. Novikov, “A structural model with unobserved default boundary”, Appl. Math. Finance, 15:1-2 (2008), 183–203  crossref  mathscinet  zmath  scopus (cited: 10)
23. A. Novikov, N. Kordzakhia, “Martingales and first passage times of AR(1) sequences”, Stochastics, 80:2-3 (2008), 197–210  mathscinet  zmath  isi (cited: 10)  scopus (cited: 13)

   2007
24. A. Novikov, A. Shiryaev, “On solution of the optimal stopping problem for processes with independent increments”, Stochastics, 79:3-4 (2007), 393–406  mathscinet  zmath  elib (cited: 17)  scopus (cited: 24)

   2006
25. R. Liptser, A. Novikov, “Tail distributions of supremum and quadratic variation of local martingales”, From stochastic calculus to mathematical finance, Springer, Berlin, 2006, 421–432  crossref  mathscinet  zmath

   2005
26. K. Borovkov, A. Novikov, “Explicit bounds for approximation rates of boundary crossing probabilities for the Wiener process”, J. Appl. Probab., 42:1 (2005), 82–92  crossref  mathscinet  zmath  isi (cited: 21)  scopus (cited: 20)
27. A. A. Novikov, A. N. Shiryaev, “On an effective solution of the optimal stopping problem for random walks”, Theory Probab. Appl., 49:2 (2005), 344–354  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 12)  scopus (cited: 13)

   2004
28. A. A. Novikov, “Martingales and first passage times for Ornstein–Uhlenbeck processes with a jump component”, Theory Probab. Appl., 48:2 (2004), 288–303  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 11)

   2003
29. A. Novikov, V. Frishling, N. Kordzakhia, “Time-dependent barrier options and boundary crossing probabilities”, Dedicated to the memory of Professor Revaz Chitashvili, Georgian Math. J., 10:2 (2003), 325–334  mathscinet  zmath

   2002
30. “Geometric Lévy Process Pricing Model”, Proc. Steklov Inst. Math., 237 (2002), 176–191  mathnet  mathnet  mathscinet  zmath
31. K. Borovkov, A. Novikov, “On a new approach to calculating expectations for option pricing”, J. Appl. Probab., 39:4 (2002), 889–895  crossref  mathscinet  zmath  scopus (cited: 23)

   2001
32. K. Borovkov, A. Novikov, “On a piece-wise deterministic Markov process model”, Statist. Probab. Lett., 53:4 (2001), 421–428  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 8)

   2000
33. Theory Probab. Appl., 44:3 (2000), 591–604  mathnet  crossref  crossref  mathscinet  zmath  isi

   1999
34. A. Novikov, V. Frishling, N. Kordzakhia, “Approximations of boundary crossing probabilities for a Brownian motion”, J. Appl. Probab., 36:4 (1999), 1019–1030  crossref  mathscinet  zmath
35. A. Novikov, E. Valkeila, “On some maximal inequalities for fractional Brownian motions”, Statist. Probab. Lett., 44:1 (1999), 47–54  crossref  mathscinet  zmath  isi (cited: 30)
36. A. A. Novikov, “Hedging of options with a given probability”, Theory Probab. Appl., 43:1 (1999), 135–143  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)

   1997
37. L. I. Galtchouk, A. A. Novikov, “On Wald's equation. Discrete time case”, Séminaire de Probabilités, XXXI, Lecture Notes in Math., 1655, Springer, Berlin, 1997, 126–135  crossref  mathscinet  zmath
38. A. A. Novikov, “Martingales, Tauberian theorem, and strategies of gambling”, Theory Probab. Appl., 41:4 (1997), 716–729  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)

   1996
39. A. A. Novikov, V. V. Novikov, “Sequential procedures for multihypotheses testing”, Probability theory and mathematical statistics (Tokyo, 1995), World Sci. Publ., River Edge, NJ, 1996, 363–378  mathscinet  zmath
40. A. Le Breton, A. Novikov, “Some results about averaging in stochastic approximation”, ProbaStat '94 (Smolenice Castle, 1994), Tatra Mt. Math. Publ., 7, 1996, 255–260  mathscinet  zmath

   1995
41. A. Le Breton, A. Novikov, “Some results about averaging in stochastic approximation”, Second International Conference on Mathematical Statistics (Smolenice Castle, 1994), Metrika, 42, no. 3-4, 1995, 153–171  crossref  mathscinet  zmath

   1994
42. A. Le Breton, A. A. Novikov, “Averaging for estimating covariances in stochastic approximation”, Math. Methods Statist., 3:3 (1994), 244–266  mathscinet  zmath
43. A. A. Novikov, B. A. Èrgashev, “Limit theorems for the first passage time of autoregression process over a level”, Proc. Steklov Inst. Math., 202 (1994), 169–186  mathnet  mathscinet  zmath

   1993
44. A. A. Novikov, A. N. Shiryaev, “Foreword”, Statistics and control of stochastic processes, Trudy Mat. Inst. Steklov., 202, TVP, Moscow, 1993, 3  mathnet  zmath
45. Statistika i upravlenie sluchainymi protsessami, Tr. MIAN, 202, ed. A. A. Novikov, A. N. Shiryaev, E. F. Mischenko, TVP, M., 1993 , 304 pp.  mathnet  zmath

   1990
46. A. A. Novikov, “On the first exit time of an autoregressive process beyond a level and an application to the “change-point” problem”, Theory Probab. Appl., 35:2 (1990), 269–279  mathnet  crossref  mathscinet  zmath  isi (cited: 20)
47. A. V. Mel'nikov, A. A. Novikov, “Statistical inferences for semimartingale regression models”, Probability theory and mathematical statistics (Vilnius, 1989), v. II, “Mokslas”, Vilnius, 1990, 150–167  mathscinet

   1989
48. A. A. Novikov, “On a family of martingales connected with an autoregressive process”, Statistics and control of random processes (Preila, 1987), “Nauka”, Moscow, 1989, 160–169 (Russian)  mathscinet

   1988
49. A. V. Melnikov, A. A. Novikov, “Sequential Inferences with Prescribed Accuracy for Semimartingales”, Theory Probab. Appl., 33:3 (1988), 446–459  mathnet  crossref  mathscinet  zmath  isi (cited: 4)
50. A. A. Novikov, V. P. Dragalin, “Asymptotic expansions for 2-SPRT”, Probability theory and mathematical statistics (Kyoto, 1986), Lecture Notes in Math., 1299, Springer, Berlin, 1988, 366–375  crossref  mathscinet
51. A. A. Novikov, T. L. Shervashidze, “The Twenty-First School-Colloquium on Probability Theory and Mathematical Statistics”, Theory Probab. Appl., 33:1 (1988), 197–198  mathnet  crossref

   1987
52. V. P. Dragalin, A. A. Novikov, “The Asymptotic Solution of the Kiefer–Weiss Problem for Processes with Independent Increments”, Theory Probab. Appl., 32:4 (1987), 617–627  mathnet  crossref  mathscinet  zmath  isi (cited: 6)
53. V. I. Lotov, A. A. Novikov, “Asymptotic expansions in some problems of sequential testing”, Proceedings of the 1st World Congress of the Bernoulli Society (Tashkent, 1986), v. 2, VNU Sci. Press, Utrecht, 1987, 411–420  mathscinet
54. T. L. Shervashidze, A. A. Novikov, “XX Winter School on Probability Theory and Mathematical Statistics”, Theory Probab. Appl., 32:4 (1987), 751  mathnet  crossref  isi
55. A. N. Shiryaev, A. A. Novikov, E. L. Presman, “First World Congress of Bernoulli Society for Mathematical Statistics and Probability (continuation)”, Theory Probab. Appl., 32:2 (1987), 384–385  mathnet  crossref
56. A. N. Shiryaev, A. A. Novikov, E. L. Presman, “First World Congress of Bernoulli Society for Mathematical Statistics and Probability”, Theory Probab. Appl., 32:2 (1987), 199–200  mathnet  crossref  isi
57. Theory Probab. Appl., 31:2 (1987), 221–232  mathnet  crossref  mathscinet  zmath  isi (cited: 8)

   1985
58. A. A. Novikov, “Consistency of least squares estimates in regression models with martingale errors”, Statistics and control of stochastic processes (Moscow, 1984), Transl. Ser. Math. Engrg., Optimization Software, New York, 1985, 389–409  mathscinet

   1986
59. A. E. Bashirov, A. A. Novikov, “Information on the International conference «Stochastic differential systems»”, Theory Probab. Appl., 30:1 (1986), 223  mathnet  crossref

   1988
60. A. A. Novikov, “Efficiency of selection procedures”, J. Soviet Math., 42, no. 1 (1988), 1475–1479  mathnet  crossref  mathscinet  zmath

   1984
61. A. A. Novikov, “Martingale identities and inequalities and their applications in nonlinear boundary-value problems for random processes”, Math. Notes, 35:3 (1984), 241–249  mathnet  crossref  mathscinet  zmath  isi

   1985
62. A. A. Novikov, T. L. Shervashidze, “XVIII Winter School on Probability Theory and Mathematical Statistics”, Theory Probab. Appl., 29:3 (1985), 640–643  mathnet  crossref

   1984
63. A. A. Novikov, A. N. Širyaev, “IV Soviet-Japanese symposium on probability theory and mathematical statistics”, Theory Probab. Appl., 28:1 (1984), 208–209  mathnet  crossref

   1983
64. A. A. Novikov, “On the moment of crossing the one-sided nonlinear boundary by sums of independent random variables”, Theory Probab. Appl., 27:4 (1983), 688–702  mathnet  crossref  mathscinet  zmath  isi (cited: 7)

   1981
65. A. A. Novikov, “Small deviations of Gaussian process”, Math. Notes, 29:2 (1981), 150–155  mathnet  crossref  mathscinet  zmath  isi (cited: 6)

   1983
66. A. A. Novikov, “The martingale approach in problems on the time of the first crossing of nonlinear boundaries”, Proc. Steklov Inst. Math., 158 (1983), 141–163  mathnet  mathscinet  zmath

   1982
67. A. A. Novikov, “On the exit time of sums of bounded random variables out of a curve strip”, Theory Probab. Appl., 26:2 (1982), 279–292  mathnet  crossref  mathscinet  zmath  isi (cited: 1)

   1981
68. A. A. Novikov, “A martingale approach to first passage problems and a new condition for Wald's identity”, Stochastic differential systems (Visegrád, 1980), Lecture Notes in Control and Information Sci., 36, Springer, Berlin, 1981, 146–156  crossref  mathscinet

   1982
69. A. A. Novikov, T. L. Shervashidze, “The fifteenth all-union colloquium on probability theory and mathematical statistics”, Theory Probab. Appl., 26:4 (1982), 867–869  mathnet  crossref  isi

   1981
70. A. A. Novikov, T. L. Shervashidze, “The fourteenth all-union colloquium on probability theory and mathematical statistics”, Theory Probab. Appl., 26:1 (1981), 209–211  mathnet  crossref
71. A. A. Novikov, “On estimates and the asymptotic behavior of the probability of nonintersection of moving boundaries by sums of independent random variables”, Math. USSR-Izv., 17:1 (1981), 129–145  mathnet  crossref  mathscinet  zmath  isi

   1980
72. A. A. Novikov, “On conditions for uniform integrability for continuous exponential martingales”, Stochastic differential systems, Proc. IFIP-WG 7/1 Working Conf. (Vilnius, 1978), Lecture Notes in Control and Information Sci., 25, Springer, Berlin, 1980, 304–310  crossref  mathscinet
73. A. A. Novikov, “Recursive interpolation of partially observable random fields”, Mathematical statistics, Banach Center Publ., 6, PWN, Warsaw, 1980, 245–247  mathscinet

   1981
74. A. A. Novikov, “On estimates and the asymptotic behavior of nonexit probabilities of a Wiener process to a moving boundary”, Math. USSR-Sb., 38:4 (1981), 495–505  mathnet  crossref  mathscinet  zmath  isi (cited: 9)

   1980
75. A. A. Novikov, “On the conditions of the uniform integrability of the continuous nonnegative martingales”, Theory Probab. Appl., 24:4 (1980), 820–824  mathnet  crossref  mathscinet  zmath  isi (cited: 5)

   1979
76. A. A. Novikov, “On stopping times of semistable diffusion processes”, Probability theory, Papers, VIIth Semester, Stefan Banach Internat. Math. Center, Warsaw, 1976, Banach Center Publ., 5, PWN, Warsaw, 1979, 203–209  mathscinet
77. A. A. Novikov, “Optimal interpolation of partially observed two-dimensional random fields”, Probability theory, Papers, VIIth Semester, Stefan Banach Internat. Math. Center, Warsaw, 1976, Banach Center Publ., 5, PWN, Warsaw, 1979, 211–220  mathscinet

   1980
78. A. A. Novikov, T. L. Šervašidze, “The Thirteenth All-Union Colloquium on Probability Theory and Mathematical Statistics”, Theory Probab. Appl., 24:4 (1980), 888–890  mathnet  crossref  isi

   1979
79. A. A. Novikov, “On conditions for absolute continuity of probability measures”, Math. USSR-Sb., 35:5 (1979), 697–707  mathnet  crossref  mathscinet  zmath  isi (cited: 1)
80. A. A. Novikov, “Recurrent interpolation of partially observed random fields with discrete parameter”, Theory Probab. Appl., 23:2 (1979), 390–395  mathnet  crossref  mathscinet  zmath
81. A. A. Novikov, A. S. Holevo, “The Twelfth All-Union Seminar on Probability Theory and Mathematical Statistics”, Theory Probab. Appl., 23:4 (1979), 853  mathnet  crossref

   1975
82. A. A. Novikov, “On discontinuous martingales”, Theory Probab. Appl., 20:1 (1975), 11–26  mathnet  crossref  mathscinet  zmath
83. A. A. Novikov, “Martingale inequalities”, Proceedings of the School and Seminar on the Theory of Random Processes (Druskininkai, 1974), Part II, Inst. Fiz. i Mat. Akad. Nauk Litovsk. SSR, Vilnius, 1975, 89–126  mathscinet

   1974
84. A. A. Novikov, “Inequalities and identities for a certain class of martingales”, Papers presented at the Fifth Balkan Mathematical Congress (Belgrade, 1974), Math. Balkanica, 4, 1974, 465–467  mathscinet  zmath

   1973
85. A. A. Novikov, “On moment inequalities and identities for stochastic integrals”, Proceedings of the Second Japan-USSR Symposium on Probability Theory (Kyoto, 1972), Lecture Notes in Math., 330, Springer, Berlin, 1973, 333–339  crossref  mathscinet

   1974
86. A. A. Novikov, “Letter to the Editor”, Theory Probab. Appl., 18:3 (1974), 642  mathnet  crossref

   1972
87. A. A. Novikov, “Sequential estimation of the parameters of diffusion processes”, Math. Notes, 12:5 (1972), 812–818  mathnet  crossref  zmath

   1973
88. A. A. Novikov, “On an identity for stochastic integrals”, Theory Probab. Appl., 17:4 (1973), 717–720  mathnet  crossref  mathscinet  zmath

   1972
89. A. A. Novikov, “Estimation of the parameters of diffusion processes”, Studia Sci. Math. Hungar., 7 (1972), 201–209 (Russian)  mathscinet  zmath

   1971
90. A. A. Novikov, “On moment inequalities for stochastic integrals”, Theory Probab. Appl., 16:3 (1971), 538–541  mathnet  crossref  mathscinet  zmath
91. A. A. Novikov, “On stopping times for the Wiener process”, Theory Probab. Appl., 16:3 (1971), 449–456  mathnet  crossref  mathscinet  zmath

Presentations in Math-Net.Ru
1. First passage time problems: martingale approach revised
A. A. Novikov
Conference "Stochastics, Statistics, Financial Mathematics" in honor of Professor Albert Shiryaev's 80th anniversary
October 14, 2014 14:30   
2. Lower and upper bounds for Asian-type options: a unified approach
Alexander Novikov
International conference "Advanced Finance and Stochastics"
June 24, 2013 12:10   
3. An approach to calculating the variance of Pitman estimators
A. A. Novikov, N. E. Kordzahiya
Principle Seminar of the Department of Probability Theory, Moscow State University
February 9, 2011 16:45
4. О вероятностях разорения в моделях рисков с постоянной процентной ставкой
Nino Kordzahiya, Alexander Novikov, Gurami Tsitsiashvili
Principle Seminar of the Department of Probability Theory, Moscow State University
March 31, 2010 16:45
5. Некоторые мартингальные приемы в получении точных результатов в граничных задачах для броуновского движения
A. A. Novikov, A. N. Shiryaev
Principle Seminar of the Department of Probability Theory, Moscow State University
October 26, 2005

Books in Math-Net.Ru
  1. Statistics and control of stochastic processes, Trudy Mat. Inst. Steklov., 202, ed. A. A. Novikov, A. N. Shiryaev, E. F. Mishchenko, 1993, 304 с.
    http://mi.mathnet.ru/book1103

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