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Curriculum Vitae

Sofia Kalpazidou

Professor, School of Mathematics

Personal Information

skalpa@math.auth.gr
Scopus ID6602743820
MathSciNet ID97370
Επιστημονική Ειδίκευση:
- Θετικές επιστήμες, Μαθηματικά και Πληροφορική
- Μαθηματικά

Education

Προπτυχιακές Σπουδές

1974	Πτυχίο Μαθηματικών Κραγιοβα Romania

Μεταπτυχιακές Σπουδές

1975	ΜΔΕ Μαθηματικών Κραγιοβα Romania Θεωρία Πιθανοτήτων

Διδακτορικό Δίπλωμα

1984	ΔΔ Μαθηματικών Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης Greece

Course Work

Courses of Winter semester of 2017–18 academic year

	TMĪMA MATHĪMATIKŌN
0505	Probability Theory II
0507	Stochastic processes With Complete Connections and Learning Theory

Courses of Spring semester of 2017–18 academic year

	TMĪMA MATHĪMATIKŌN
0563	Stochastic Processes
0963	Didactics of Mathematics

Theses Supervised

Student Theses within AUTh

No results were found.

Administrative Work

Research Projects

1989–1990

Μελέτη στοχαστικών μοντέλων που εμφανίζονται στη Φυσική

Connection to Society

Work Acknowledgement

Work Recognition

Publications

2003

Kalpazidou S, Ganatsiou C (2003). On the inversion of multiple Markov chains. Far East Journal of Mathematical Sciences. vol.10 no.1 p.1-13.

2001

Kalpazidou S, Tzouvaras L (2001). The forward and backward rotational decompositions of Markov chains. Stochastic Analysis and Applications. vol.19 no.3 p.399-412.
Kalpazidou S, Ganatsiou C (2001). Knopfmacher expansions in number theory. Quaestiones Mathematicae. vol.24 no.3 p.393-401.

1999

Kalpazidou S, Tzouvaras L (1999). Afunctional interpretation of cycloid processes: application to the study of asymptotic behaviour. Acta Applicandae Mathematicae. vol.58 no.1-3 p.135-149.
Kalpazidou S (1999). Cycloid decompositions of finite Markov chains. Circuits, Systems and Signal Processing. vol.18 no.3 p.191-204.

1998

Kalpazidou S, Kassimatis N (1998). Markov chains in Banach spaces on cycles. Circuits, Systems and Signal Processing. vol.17 no.5 p.637-652.
Kalpazidou S (1998). Cycle representations of denumerable stochastic matrices. Stochastic Analysis and Applications. vol.16 no.5 p.895-906.

Kalpazidou S (1998). Cycle representations of Markov processes: an application to rotational partitions. Stochastic processes and related topics. Boston, MA. Birkhäuser Boston. p.253-273.

1997

Kalpazidou S, Cohen J.-E (1997). Orthogonal cycle transforms of stochastic matrices. Circuits, Systems and Signal Processing. vol.16 no.3 p.363-374.
Kalpazidou S (1997). From network problem to cycle processes. Nonlinear Anal. vol.30 no.4 p.2041-2049.

1995

Kalpazidou S (1995). On the rotational dimension of stochastic matrices. Annals of Probability. vol.23 no.2 p.966-975.
Kalpazidou S (1995). Circuit duality for recurrent Markov processes. Circuits, Systems and Signal Processing. vol.14 no.2 p.187-211.

Kalpazidou S (1995). Cycle representations of Markov processes. New York. Springer-Verlag.

1994

Kalpazidou S (1994). Rotational representations of transition matrix functions. Annals of Probability. vol.22 no.2 p.703-712.
Kalpazidou S (1994). Cycle generating equations. Stochastic Analysis and Applications. vol.12 no.4 p.481-492.

Kalpazidou S (1994). Cycle processes. Probability theory and mathematical statistics. Vilnius. p.369-389.

1993

Kalpazidou S (1993). On Lévy’s theorem concerning positiveness of transition probabilities of Markov processes: the circuit processes case. Journal of Applied Probability. vol.30 no.1 p.28-39.
Kalpazidou S (1993). An interpretation of the circuit weights representing Markov processes. Revue Roumaine de Mathématique Pures et Appliquées. vol.38 no.9 p.767-770.

Iosifescu M, Kalpazidou S (1993). The nearest integer continued fraction expansion: an approach in the spirit of Doeblin. Doeblin and modern probability. Providence, RI. Amer. Math. Soc. vol.149 p.125-137.

1992

Kalpazidou S (1992). On the weak convergence of sequences of circuit processes: a probabilistic approach. Journal of Applied Probability. vol.29 no.2 p.374-383.
Kalpazidou S (1992). On the asymptotic behaviour of spectral representations for Markov processes. Stochastic Analysis and Applications. vol.10 no.1 p.1-16.
Kalpazidou S (1992). On Kendall’s conjecture concerning 0+-equivalence of Markov transition functions: the circuit processes case. Revue Roumaine de Mathématique Pures et Appliquées. vol.37 no.10 p.915-928.
Kalpazidou S (1992). On circuit generating processes. Stochastic Analysis and Applications. vol.10 no.5 p.591-602.
Kalpazidou S (1992). Circuit processes and the corresponding one-parameter semigroup of weight operators. Journal of Theoretical Probability. vol.5 no.1 p.205-216.

1991

Kalpazidou S, Knopfmacher A, Knopfmacher J (1991). Metric properties of alternating Lüroth series. Portugaliae Mathematica. vol.48 no.3 p.319-325.
Kalpazidou S (1991). On Beurling’s inequality in terms of thermal power. Journal of Applied Probability. vol.28 no.1 p.104-115.
Kalpazidou S (1991). Invariant stochastic properties of a class of directed circuits. Journal of Applied Probability. vol.28 no.4 p.727-736.
Kalpazidou S (1991). The entropy production for superior order Markov chains. Stochastic Analysis and Applications. vol.9 no.3 p.271-283.
Kalpazidou S (1991). Continuous parameter circuit processes with finite state space. Stochastic Processes and their Applications. vol.39 no.2 p.301-323.
Kalpazidou S (1991). Circulation distribution on groups. Journal of Theoretical Probability. vol.4 no.3 p.475-483.

1990

Kalpazidou S, Knopfmacher A, Knopfmacher J (1990). Lüroth-type alternating series representations for real numbers. Acta Arithmetica. vol.55 no.4 p.311-322.
Kalpazidou S (1990). On transience of circuit processes. Stochastic Processes and their Applications. vol.35 no.2 p.315-329.
Kalpazidou S (1990). On the growth function of circuit processes. Stochastic Analysis and Applications. vol.8 no.1 p.75-89.
Kalpazidou S (1990). On reversible multiple Markov chains. Revue Roumaine de Mathématique Pures et Appliquées. vol.35 no.7 p.617-629.
Kalpazidou S (1990). Asymptotic behaviour of sample weighted circuits representing recurrent Markov chains. Journal of Applied Probability. vol.27 no.3 p.545-556.

1989

Kalpazidou S (1989). Representation of denumerable Markov chains with multiple states by weighted circuits. Journal of Applied Probability. vol.26 no.1 p.23-35.
Kalpazidou S (1989). On multiple circuit chains with a countable infinity of states. Stochastic Processes and their Applications. vol.31 no.1 p.51-70.

1988

Kalpazidou S (1988). On the representation of finite multiple Markov chains by weighted circuits. Journal of Multivariate Analysis. vol.25 no.2 p.241-271.
Kalpazidou S (1988). On circuit chains defined by forward and backward passages. Stochastic Analysis and Applications. vol.6 no.4 p.397-416.
Kalpazidou S (1988). Khintchine’s constant for Lüroth representation. Journal of Number Theory. vol.29 no.2 p.196-205.

1987

Kalpazidou S (1987). On the application of dependence with complete connections to the metrical theory of G-continued fractions. Dependence with complete connections. Litovskiĭ Matematicheskiĭ Sbornik. vol.27 no.1 p.68-79.

Kalpazidou S (1987). On the entropy of expansions with odd partial quotients. Probability theory and mathematical statistics, Vol. II. Utrecht. VNU Sci. Press. p.55-61.

1986

Kalpazidou S (1986). Some asymptotic results on digits of the nearest integer continued fraction. Journal of Number Theory. vol.22 no.3 p.271-279.
Kalpazidou S (1986). Optimal transforms by two predictable processes. Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie.Nouvelle Série. vol.30(78) no.4 p.313-319.
Kalpazidou S (1986). On nearest continued fractions with stochastically independent and identically distributed digits. Journal of Number Theory. vol.24 no.1 p.114-125.
Kalpazidou S (1986). On a class of Markov chains arising in the metrical theory of the continued fraction to the nearer integer expansion. Revue Roumaine de Mathématique Pures et Appliquées. vol.31 no.10 p.877-890.
Kalpazidou S (1986). A Gaussian measure for certain continued fractions. Proceedings of the American Mathematical Society. vol.96 no.4 p.629-635.

1985

Kalpazidou S (1985). On some bidimensional denumerable chains of infinite order. Stochastic Processes and their Applications. vol.19 no.2 p.341-357.
Kalpazidou S (1985). On a random system with complete connections associated with the continued fraction to the nearer integer expansion. Revue Roumaine de Mathématique Pures et Appliquées. vol.30 no.7 p.527-537.
Kalpazidou S (1985). Denumerable chains of infinite order and Hurwitz expansion. Statist.Decisions. p.83-87.

2006

Kalpazidou S (2006). Cycle representations of Markov processes: Stochastic Modelling and Applied Probability. New York. Springer.

Mis à jour: 2018-03-24

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