Μέλη τού Τομέα Μαθηματικής Ανάλυσης-Σεμινάριο

Publications
[1] On certain harmonic measures on the unit disk. Colloquium Math.73 (1997), 221-228.
[2] Harmonic measure on simply connected domains of fixed inradius. Ark. Mat. 36 (1998), 275-306.
[3] Polarization, conformal invariants and Brownian motion. Ann. Acad. Sci. Fenn. Ser. A I Math. 23 (1998), 59-82.
[4] On bounded univalent functions that omit two given values. Colloquium Math. 80 (1999), 253-258.
[5] An extension of the Beurling-Nevanlinna projection theorem. Computational Methods in Function Theory (CMFT’97). N.Papamichael, St.Ruscheweyh and E.Saff (Eds.), pp.87-90. World Scientific, 1999.
[6] On conformal capacity and Teichm\”uller’s modulus problem in space. Journal d’Analyse Mathematique 79 (1999), 201-214.
[7] (with A.Yu.Solynin) Extensions of Beuring’s shove theorem for harmonic measure. Complex Variables 42 (2000), 57-65.
[8] (with M.Vuorinen) Estimates for conformal capacity. Constructive Approximation 16 (2000), 589-602.
[9] On the equilibrium measure and the capacity of certain condensers. Illinois J. Math. 44 (2000), 681-689.
[10] Geometric theorems and problems for harmonic measure. Rocky Mountain J. of Math. 31 (2001), 773-795.
[11] Extremal problems for extremal distance and harmonic measure. Complex Variables 45 (2001), 201-212.

[12] Hitting probabilities of conditional Brownian motion and polarization. Bulletin Australian. Math. Soc. 66 (2002), 233-244.
[13] (with A.Yu Solynin) On the distribution of harmonic measure on simply connected planar domains. Journal Australian Math. Soc. 75 (2003), 145-151.
[14] Two point projection estimates for harmonic measure. Bulletin London Math. Soc. 35 (2003), 473-478.
[15] On separating conformal annuli and Mori’s ring domain in $R^n$. Israel J. of Math. 133 (2003), 1-8.
[16] Symmetrization, symmetric stable processes, and Riesz capacities. Trans. Amer. Math. Soc. 356 (2004), 735-755. Addendum 356 (2004), 3821.
[17] Polarization, continuous Markov processes and second order elliptic equations. Indiana Univ. Math. J. 53 (2004), 331-346.
[18] (with K.Samuelsson and M.Vuorinen) The computation of capacity of planar condensers. Publ. Inst. Math. 75 (89) (2004), 233-252.

[19] Elliptic, hyperbolic, and condenser capacity; geometric estimates for elliptic capacity. Journal d’Analyse Mathematique 96 (2005), 37–55.
[20] (with S.Grigoriadou) On the determination of a measure by the orbits generated by its logarithmic potential. Proc. Amer. Math. Soc. 134 (2006), 541–548.
[21] Estimation of the hyperbolic metric by using the punctured plane. Math. Z. 259 (2008), 187–196.
[22] Some properties of $\alpha$-harmonic measure. Colloq. Math. 111 (2008), 297-314.
[23] Equality cases in the symmetrization inequalities for Brownian transition functions and Dirichlet heat kernels. Ann. Acad. Sci. Fenn. Ser. A I Math. (2008), 413–427.
[24] Symmetrization and harmonic measure. Illinois J. Math. 52 (2008), 919-949.
[25] An extremal problem for the hyperbolic metric on Denjoy domains. Comp. Methods Function Theory  10 (2010), 49-59.
[26] Geometric versions of Schwarz’s lemma for quasiregular mappings. Proc. Amer. Math. Soc. 139 (2011), 1397-1407.
[27] Multi-point variations of Schwarz lemma with diameter and width conditions. Proc. Amer. Math. Soc. 139 (2011), 4041-4052.

[28] (with S.Pouliasis) Equality cases for condenser capacity inequalities under symmetrization. Annales Univ. Mariae Curie-Skłodowska 66 (2012), 1-24.

[29] (with S.Pouliasis) Versions of Schwarz’s lemma for condenser capacity and inner radius. Canadian Math. Bul. 56 (2013), 241-250.

[30] Holomorphic functions with image of given logarithmic or elliptic capacity. J. Australian Math. Soc.  94  (2013), 145-157.

[31] Hyperbolic geometric versions of Schwarz’s lemma. Conformal Geometry and Dynamics 17 (2013), 119-132.

[32] Estimates for convex integral means of harmonic functions. Proc. Edinb. Math. Soc. 57 (2014),  619–630.

[33] On the images of horodisks under holomorphic self-maps of the unit disk. Archiv der Math. (Basel) 102 (2014), 91–99.
[34] Lindelof’s principle and estimates for holomorphic functions involving area, diameter, or integral means. Comp. Methods Function Theory  14 (2014), 85-105.

[35] On the existence of strips inside domains convex in one direction. Journal d’Analyse Mathematique 134 (2018), 107-126.

[36] On the asymptotic behavior of the trajectories of semigroups of holomorphic functions.J. Geometric Analysis 26 (2016), 557-569.

[37] On the rate of convergence of parabolic semigroups of holomorphic functions.Analysis and Math. Physics 5 (2015), 207-216.

[38] On the rate of convergence of hyperbolic semigroups of holomorphic functions. Bulletin London Math. Soc. 47 (2015), 493-500.

[39] Geometric description of the classification of holomorphic semigroups. Proc. Amer. Math. Soc. 144 (2016), 1595-1604.

[40] On the eigenvalues of the infinitesimal generator of a  semigroup of composition operators. J. Funct. Anal. 273 (2017), 2249-2274.

[41] On the eigenvalues of the infinitesimal generator of a  semigroup of composition operators on Bergman spaces. Bulletin Hellenic Math. Soc. 61 (2017), 41-54.

[42] (with S.Pouliasis)  Isometries for the modulus metric are quasiconformal mappings. Trans. Amer.  Math. Soc.  372  (2019), 2735-2752.

[43] Angular derivatives and compactness of composition operators on Hardy spaces. J. Operator Theory 82  (2019),  189-196.

[44] (with G.Kelgiannis, M.Kourou, S.Pouliasis)  On the asymptotic behavior of condenser capacity under Blaschke products and universal covering maps. Proc. Amer. Math. Soc. 147 (2019), 2963-2973.

[45] (with G.Kelgiannis, M.Kourou, S.Pouliasis)  Semigroups of holomorphic functions and condenser capacity.   Analysis and Math. Physics  10 (2020), 18 pp.

[46] (with M. D. Contreras, S. Diaz-Madrigal)  On the rate of convergence of semigroups of holomorphic functions at the Denjoy-Wolff point.  Revista Mathematica Iberoamericana 36 (2020), 1659-1686.

[47] (with M. Boudabra, G. Markowsky)  On the probability of fast exits and long stays of planar Brownian motion in simply connected domains. J. Math. Anal. Appl. 493 (2021),  10 pp.

[48] (with C. Karafyllia, N. Karamanlis)  Hyperbolic metric and membership of conformal maps in the Bergman space. Canadian Math. Bul. 64 (2021), 174-181.  

[49] (with A.Yu. Solynin) Heating long pipes, Analysis and Math. Physics 11 (2021), 35 pp.

[50] (with N. Karamanlis)  Conformal invariants and the angular derivative problem.  J. London Math. Soc.  105 (2022), 587-620.

[51] (with M. Boudabra, G. Markowsky) On the duration of stays of Brownian motion in domains in Euclidean space. Electronic Communications in Probability 27 (2022), Paper No. 58, 12 pp.      

[52]  (with A. Yu. Solynin, M. Vuorinen)   Conformal capacity of hedgehogs. Conformal Geometry and Dynamics 27 (2023), 55-97.

[53] (with A. Yu. Solynin) Temperature of rods with Robin boundary conditions. J. Math. Anal. Appl. 528 (2023), Paper No. 127578, 16 pp.

[54] (with N. Karamanlis)   On the monotonicity of the speeds for semigroups of holomorphic self-maps of the unit disk. Trans. Amer.  Math. Soc. 377 (2024), 1299-1319.

[55]  (with K. Zarvalis) Semigroups of holomorphic functions; rectifiability and Lipschitz properties of the orbits. Canadian  J. Math.

 

 

Σταμάτης Πουλιάσης (2008-2011)

Γαλάτεια Κλεάνθους (2011-2014)

Γεώργιος Κελγιάννης (2013-2019)

Μαρία Κούρου (2016-2019)

Χριστίνα Καραφυλλιά (2017-2020)

Νικόλαος Καραμανλής (2018-2021)

Κωνσταντίνος Ζάρβαλης (2019-2022)

Χρήστος Παπαδημητρίου (2022-)

 

1. Αθανασία Μπαχάρογλου, 2005.
Κατόπιν διδάκτορας Α.Π.Θ.

2. Σταμάτης Πουλιάσης, 2007.
Κατόπιν διδάκτορας Α.Π.Θ.

3. Νικολέτα Αλεξάνδρου, 2007.
Κατόπιν διδάκτορας Πανεπιστημίου Κύπρου.

4. Νικόλαος Τύμης, 2007.
Κατόπιν διδάκτορας τού  Loughborough University.

5. Μιχαήλ Μούργογλου, 2007.
Κατόπιν διδάκτορας τού University of Missouri.

6. Ελένη Χάσικου, 2008.
Κατόπιν καθηγήτρια στη δευτεροβάθμια εκπαίδευση.

7. Βάιος Λάσχος, 2009.
Κατόπιν διδάκτορας τού University of Bath.

8. Αικατερίνη Καρέτσου, 2010.
Κατόπιν υποψήφια διδάκτορας Α.Π.Θ.

9. Γαλάτεια Κλεάνθους, 2011.
Κατόπιν διδάκτορας Α.Π.Θ.

10. Ιάσων Εφραιμίδης, 2012.
Κατόπιν διδάκτορας τού
Univesidad Autonoma de Madrid.

11. Βασιλική Ευδωρίδου, 2012.
Κατόπιν διδάκτορας τού Open University, UK.

12. Γεώργιος Κελγιάννης, 2013.
Κατόπιν διδάκτορας Α.Π.Θ.

13. Αργύριος Χριστοδούλου, 2016.
Κατόπιν διδάκτορας τού Open University, UΚ.

14. Ιωάννης Δουρέκας, 2016.
Κατόπιν διδάκτορας τού Open University, UK.

15. Βασίλειος Χατζηπαναγιώτου, 2016.
Κατόπιν καθηγητής Μουσικής.

16. Χριστίνα Καραφυλλιά, 2017.
Κατόπιν διδάκτορας Α.Π.Θ.

17. Σοφία Γλυκίδου, 2017.
Κατόπιν καθηγήτρια στη δευτεροβάθμια εκπαίδευση.

18. Χρήστος Τανταλάκης, 2017.
Κατόπιν διδάκτορας τού King’s College, London.

19. Χριστίνα Γιαννίτση, 2017.
Κατόπιν  διδάκτορας τού Georgia Institute of Technology.

20. Μιχαήλ Παπαρίζος, 2018.
Κατόπιν διδάκτορας τού Michigan State University.

21. Στυλιανός Σαχπάζης, 2018.
Κατόπιν  διδάκτορας τού Universite de Montreal.

22. Αθανάσιος Τσαντάρης, 2018.
Κατόπιν διδάκτορας τού  University of Nottingham.

23. Κωνσταντίνος Ζάρβαλης, 2019.
Κατόπιν διδάκτορας Α.Π.Θ.

24. Δημήτριος Βαβίτσας, 2019.
Κατόπιν διδάκτορας τού Jagiellonian University.

25. Αθανάσιος Μπεσλίκας, 2020.
Κατόπιν υποψήφιος διδάκτορας τού Jagiellonian University.

26. Γρηγόριος Κοψαχείλης, 2020.
Κατόπιν  διδάκτορας τού Universitat Munster.

27. Χρήστος Παπαδημητρίου, 2021.
Κατόπιν υποψήφιος διδάκτορας Α.Π.Θ.

28. Νικόλαος Παπαδόπουλος, 2021.

29. Κωνσταντίνος Μπάμπουρας, 2022.
Κατόπιν υποψήφιος διδάκτορας τού  NTNU.

30. Ευάγγελος Κοτζαφίλιος, 2022.
Κατόπιν υποψήφιος διδάκτορας τού Imperial College

31. Πολύκαρπος Ατματζίδης, 2023.

32. Αλέξανδρος Σιμηχανίδης, 2024.