Curriculum Vitae
for Dimitrios Betsakos

Address
Department of Mathematics,
Aristotle University of Thessaloniki,
54124 Thessaloniki, Greece.

Telephone numbers: 30 2310 997935
E-mail: betsakos@math.auth.gr
Web site: http://users.auth.gr/~betsakos

Education
1. Department of Mathematics, Aristotle University of Thessaloniki 1986-1990. B.Sc. 1990.
2. Department of Mathematics, Washington University, St.Louis, 1991-1996. M.Sc. 1994.
Ph.D. 1996; Advisor: Albert Baernstein.


Research Interests
Complex analysis, potential theory, geometric function theory, conformal mapping, harmonic measure, capacity, extremal length, hyperbolic metric, Brownian motion, probabilistic potential theory.

Employment
1. 1998-1999: Postdoctoral Fellow, Department of Mathematics, University of Helsinki.
2. 1999-2000: Visiting assistant professor, School of Engineering, Aristotle University of Thessaloniki.
3. 2000-2002: Visiting assistant professor, Department of Applied Mathematics, University of Crete.
4. 2002-2008: Assistant professor, Department Mathematics, Aristotle University of Thessaloniki.
5. 2008-2014: Associate professor, Department Mathematics, Aristotle University of Thessaloniki.

6. 2014- : Professor, Department Mathematics, Aristotle University of Thessaloniki.



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), 619630.

[33] On the images of horodisks under holomorphic self-maps of the unit disk. Archiv der Math. (Basel) 102 (2014), 9199.
[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 (to appear).pdf

[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. (to appear). pdf

[41] On the eigenvalues of the infinitesimal generator of a semigroup of composition operators on Bergman spaces, Bulletin of the Hellenic Mathematical Society.

 

 

 

 

August 2017