Listă de lucrări

Conf. Dr. Gheorghiţă Zbăganu

 

 

A.   Cărţi

1.                 Teoria măsurii şi a probabilităţilor

       Editura Universităţii, Bucureşti 1998

2.                  Comparisons of Stochastic Matrices with Applications in Information Theory, Statistics, Economics and Population Sciences, Birkhauser 1998 (împreună cu J. E. Cohen şi J. H. B. Kemperman)

3.                  Metode matematice în teoria riscului şi actuariat, Editura Universităţii, Bucureşti 2004

 

B.     Articole

1.                  On a theorem concerning convergence of martingales with N2 index set.
Rev. Roum. Math. Pures Appl. 22, 1177-1182 (1977).

Recenzată de : Denis de Brucq MR0474489 (57 #14128)

2.                  Two-parameter filtrations with respect to which all martingales are strong.

(Împreună cu Xing Wu Zhuang)

 Z. Wahrsch. Verw. Gebiete 61 (1982), no. 4, 437--452.

Recenzat de : Xavier Guyon ( MR0682571 (84k:60047))

Citat de

1.             Merzbach E.

          An introduction to the general theory of set-indexed martingales

          LECTURE NOTES IN MATHEMATICS 1802: 41-84 2003

 2.         Merzbach E, Nualart D

        Different kinds of 2-parameter martingales

        ISRAEL JOURNAL OF MATHEMATICS 52 (3): 193-208 1985

.3.         Chen P, Zhuang X.

        Some results about local comparability and applications to multiindex stochastic processes

        STOCHASTIC PROCESSES AND THEIR APPLICATIONS 21 (1):   75-76 DEC 1985

4.             Chen Z.

On right continuity of a family of two-parameter small s- fields

Stochastic Processes and their Applications Volume 66, Issue 1 , 1 February 1997, Pages 107-113

5.             M. Dozzi

Stochastic processes with a multidimensional parameter, Longman 1989

6.             Zhuang, X.

Local Comparability and Vitali condition, Acta Mathematica Sinica 33, 2, p. 244-250(1990)

 

7.      On stochastically independent continuous functions.

(Împreună cu Florin Gonzacenco)

Rev. Roum. Math. Pures Appl. 28, 479-483 (1983).

Recenzată de: A.F.Karr (Zbl 0533.60002), J. Galambos ( MR0715592 (84j:60024) )

 

8.      Asupra modelării unor procese de uzură

În  Proceedings of the national colloquium on probability theory and operational research (Craiova, 1982), 232--246, Univ. Bucureşti  1982. 90B25

            Recenzată : MR0842707

9.      O conjectură privind mediile condiţionate.

În Proceedings of the national colloquium on probability theory and operational research (Craiova, 1982), 247--252, Univ. Bucureşti 1982. 60A10

            Recenzată : MR0842707

            Citat de

R. Zaharopol

            On products of Conditional Expectation Operators, Canadian Mathematical Bulletin , 33 (3), 990,

257-260

 

10.  Asupra celor mai buni aproximanţi în spaţiile Lp
Stud. Cercet. Mat. 35, 549-560 (1983).

Recenzată de : G.Oprisan (Zbl 0553.60038)şi WW Breckner (85k:41034)

11.  Semi-Markov models in characterizing digital communication channels.

(Împreună cu I. Duma, Gh. Oprişan)

Progress in electronics and informatics, Probl. Autom. 13, 97-105 (1983).

Recenzată : MR0792676

12.  Ortogonalitatea a două spaţii de tip L„ şi studiul unei filtraţii cu indici dubli

Stud. Cerc. Mat. 36 (1984), no. 1, 62--72.

Recenzat : MR0738436 (85k:60050)

13.  On computing the OC and ASN for some Markovian SPRTs

(Împreună cu G. Obreja)

Sequential methods in statistics, 423--436, Banach Center Publ., 16, PWN, Warsaw, 1985.

Recenzat de N. Schmitz (MR0847489 (87h:62143)) şi în Zbl 0659.62094

14.  Two inequalities concerning centered moments.

Proceedings of the seventh conference on probability theory (Braşov, 1982), 515--518, VNU Sci. Press, Utrecht, 1985.

Recenzat de: F. Móricz în MR0867469 (88a:60043) şi de R. Norvaisa (în Zbl 0593.60027)

15.  Some entropy-like indices and their connection with the metrization of the s-algebras.

Stud. Cercet. Mat. 38, 76-88 (1986).

Recenzat : Zbl 0593.60004  şi de E. S. Boylan  MR0854855 (88c:60013)

Citat de

1.        T. Van Zandt

The Haussdorff Metric of s -fields and the value of the information, Ann. Prob. 21, nr. 1, 161-167 (1993).

2.       T. H. Blake

Generalized martingales , Probability theory rel. Fieds 79, 3, p. 465-490 (1988)

                3.    Allen  B, Van Zandt T

                        Uniform continuity of information combination

                        JOURNAL OF MATHEMATICAL ECONOMICS 21 (5): 453-459         1992

4.     Licea, Gabriela

On the martingale measures for discrete real processes, Rendiconti del Circolo de Matematica di Palermo, martie 2005

 

 

16.  Continuous independent functions and construction of processes on W=(0,1).

 Rev. Roumaine Math. Pures Appl. 31 (1986), no. 1, 77--84.

Recenzat de : William C. Torrez MR0837780 (87j:60060) şi în Zbl 0611.60057

17.  A generalization of F4-hypothesis of Cairoli and Walsh.

 Rev. Roumaine Math. Pures Appl. 31 (1986), no. 10, 919--922.

Recenzat de: : A. N. Al-Hussaini  MR0872444 (88d:60132) .

18.  Martingale cu indici dubli cu variaţie independentă de drum şi martingale cu creşteri ortogonale

 Stud. Cercet. Mat. 39, 79-94 (1987).

Recenzat în Zbl 0619.60056 şi în  MR0902146 (88h:60093)

15.       Some remarks concerning the angle between two subspaces of Lp(W,K,P)
Rev. Roum. Math. Pures Appl. 32, 273-286 (1987).

            Recenzat în Zbl 0639.46028 şi MR0893798 (89g:46060)

16.        When is a planar set union between a horizontal graph and a vertical one?

Stud. Cercet. Mat. 41, No.1, 55-60 (1989).

Recenzat de S. Stahl în Zbl 0688.05022 şi de Larry Basensspiler în MR1010872 (90g:05163)

17.        Computing the angle between two L„-spaces.
       Stud. Cercet. Mat. 41, No.2, 143-148 (1989).

Recenzat de : S.S.Dragomir Zbl 0693.46018 şi de M. Ostrovski în MR1011455 (90m:46050)

18.         Some Banach algebras of functions of bounded variation.

       (Împreună cu Gh. Răuţu)

        Stud. Cercet. Mat. 41, No.6, 513-519 (1989).

        Recenzat : Zbl 0702.46034 şi de F. Brooks în MR1043851 (91e:46068)

Citat de

M. Iosifescu, S. Grigorescu

Dependence with complete connections, Cambridge University Press, 1990

19.        A class of contraction coefficients and improving the majorization                                    inequalities.

      Rev. Roum. Math. Pures Appl. 37, No.10, 945-957 (1992).

      Recenzat de : F.Liese Zbl 0781.60021 şi E. Seneta MR1195096 (94c:15030)

20.        Waiting for an ape to type a poem.

      Izv. Akad. Nauk Respub. Moldova Mat. 1992, no. 2, 66--74.

            Recenzat MR1604077 şi de N.Curteanu Zbl 0915.60010

21.        Relative entropy under mappings by stochastic matrices.

      (Împreună cu J.E. Cohen, Y. Ywas, Gh. Răuţu, M.B. Ruskai, E. Seneta)

      Linear Algebra Appl. 179, 211-235 (1993).

      Recenzat : Zbl 0764.60068 şi de A. Rhodius  MR1200153 (93m:60145)

Citat de

  1.  M. Choi, M.B. Ruskai, E. Seneta, Equivalences of certain entropy coefficients , Lin. Alg. and its appl. 208/109,199, p. 29-36
  2.  D. Morales, L. Pardol, I. Vajda, Uncertainty of Discrete Stoch. Systems - General Theorems and Statistical Inference, IEEE Transactions on Systems, 26,6,681-697 (1996)
  3.   Rădulescu M, Rădulescu S, Generalization of Dobrushin inequalities, Journal of Math. Analysis Appl.,204, 3, 631-645 (1996)

4.        Del Moral P, Ledoux M, Miclo L,   On contraction properties of Markov kernels

         PROBABILITY THEORY AND RELATED FIELDS 126 (3): 395-420 JUN          2003

       5.         Zyczkowski K, Kus M, Slomczynski W, et al.,  Random unistochastic matrices

         JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 36 (12): 3425-3450 MAR 28                     2003

        6.        Miclo L ., About relaxation time of finite generalized metropolis algorithms

         ANNALS OF APPLIED PROBABILITY 12 (4): 1492-1515 NOV 2002

        7.        Hill MF, Witman JD, Caswell H.,  Spatio-temporal variation in Markov chain models of   subtidal community  succession ,  ECOLOGY LETTERS 5 (5): 665-675 SEP 2002

8.        Hill MF, Witman JD, Caswell H.,   Markov chain analysis of succession in a rocky      subtidal community ,  AMERICAN NATURALIST 164 (2): E46-E61 AUG 2004

7.        Lesniewski A, Ruskai MB.,     Monotone Riemannian metrics and relative entropy on                    noncommutative  probability spaces ,   JOURNAL OF MATHEMATICAL PHYSICS 40 (11):                          5702-5724 NOV          1999

        8.        Ruskai  MB.,   BEYOND STRONG SUBADDITIVITY - IMPROVED BOUNDS ON THE

            CONTRACTION OF GENERALIZED RELATIVE ENTROPY, REV.MATHEMATICAL             PHYSICS 6 (5A): 1147-1161 Sp. Iss. SI  1994

        9.        ITOH Y, COHEN JE., COMPETITIVE TERNARY INTERACTIONS AND RELATIVE        ENTROPY  OF SOLUTIONS ,    JR. PHYSICS A-MATH.GEN. 27 (19): 6383-6393 OCT 7 1994

      10.        VANENTER ACD, FERNANDEZ R, SOKAL AD

      REGULARITY PROPERTIES AND PATHOLOGIES OF POSITION-SPACE RENORMALIZATION-GROUP TRANSFORMATIONS - SCOPE AND LIMITATIONS OF GIBBSIAN THEORY ,  JOURNAL OF STATISTICAL PHYSICS 72 (5-6): 879-1167 SEP 1993

 

22.        Majorization, monotonicity of relative entropy, and stochastic matrices.

      (Împreună cu J. E. Cohen şi Y. Derrienic)

       Doeblin and modern probability (Blaubeuren, 1991), 251--259, Contemp. Math.,               149, Amer. Math. Soc., Providence, RI, 1993.

Recenzat de : Adolf Rhodius MR1229968 (94i:15017)  şi în Zbl 0785.15011

Citat de

Anil M., Kishan M., Chilukuri K., Mohan S. R.

Replicators, Majorization and Genetic Algorithms: New Models and Analytical tools

FOGA, 1996/Tech Report available. Foundations of Genetic Algorithms (FOGA)  workshop

 

23.         On a conjecture of Kemperman concerning the contractivity of a stochastic                    matrix with respect to sublinear functions.

Rev. Roumaine Math. Pures Appl. 42 (1997), no. 5-6, 461--476.

Recenzat de : D. J. Hartfiel)  MR1648369 (99i:15032) şi în  Zbl 1048.15501

24.        A class of contraction coefficients of a Markov kernel inspired from the                          average error of a code.

Rev. Roum. Math. Pures Appl. 43, No.9-10, 897-908 (1998).

Recenzat de : K. Lee  MR1844974 (2002b:94058)  şi în  Zbl 1002.94538

25.        A remark concerning the ergodicity coefficients with respect to the tensor product.

      Stud. Cerc. Mat. 50 (1998), no. 3-4, 277--288. 60J99 (28D99)

Recenzat : MR1839647 şi în Zbl 1014.60084

26.        Dobrushin coefficients of ergodicity and asymptotically stable L1-contractions.

(Împreună cu R. Zaharopol)
J. Theor. Probab. 12, No.4, 885-902 (1999).

Recenzat de: Farruh Mukhamedov Zbl 0965.47010 şi W. Bartoszek MR1729461 (2000m:47011)

Citat de

Del Moral P, Ledoux M, Miclo L

                 On contraction properties of Markov kernels

                 PROBABILITY THEORY AND RELATED FIELDS 126 (3): 395-420 JUN 2003

27.        On the lattice of waiting times.

Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 19, 199-210 (2000).

            Recenzat de : A. P. Godbole MR1787969 (2001k:60017) şi în  Zbl 0981.60001

28.        On the coupon collector problem in uncountable settings.

(Împreună cu S. Bontaş)

Rev. Roumaine Math. Pures Appl. 45 (2000), no. 1, 49--66.

            Recenzat : MR1818196 (2001m:60021) şi în  Zbl 0991.60008

29.       On the existence of an optimal covering strategy.

Rev. Roum. Math. Pures Appl. 45, No.6, 1047-1062

Recenzat de  : D.N. Shanbag  MR1886537 (2003g:60036)  şi în Zbl 0995.60012

30.       A new inequality with applications in measure and information theories.

Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci. 1 (2000), no. 1, 15--19.

Recenzat de : E. S. Boylan MR2027263 (Review) şi în Zbl 1021.26020

31.        Exact calculus of the performance of a channel in sending two messages.

Rev. Roum. Math. Pures Appl. 47, No.4, 509-522 (2002).

            Recenzat : Zbl pre02098690 şi MR1998899

32.       An inequality of M. Radulescu and S. Radulescu which characterizes the inner product spaces.

Rev. Roum. Math. Pures Appl. 47, No.2, 253-258 (2002).

Recenzat : Zbl pre02098682 şi de C. Benitez  MR1979046 (2004c:46035a)

33.        Addenda to: "An inequality of M. Radulescu and S. Radulescu which characterizes the inner product spaces"

Rev. Roumaine Math. Pures Appl. 47 (2002), no. 4, 523 (2003).

Recenzat de :  Carlos Benítez  MR1998900 (2004c:46035b)

34.        Elementary inequalities that involve two nonnegative  vectors or functions

(Împreună cu J.E. Cohen şi J.H.B. Kemperman)

Proceeedings of National Academy of Sciences, vol. 101,  no. 42 15018-15022 October 19, 2004

35.       A family of inequalities originating from coding of messages

(Împreună cu J.E. Cohen şi J.H.B. Kemperman)

Linear Algebra and its Applications 395 (2005) 1-82

36.       Instantaneous interest rates and hazard rates

           (Acceptată spre publicare la Proceedings of Romanian Academy of Sciences)

37.       Life insurance plans and stochastic orders

            (Acceptată spre publicare la Proceedings of Romanian Academy of Sciences)