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- : Associate 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] (with A.Yu Solynin) On the distribution of
harmonic measure on simply connected planar domains. Journal
Australian Math. Soc. 75 (2003), 145-151.
[13]
Hitting probabilities of conditional Brownian motion and polarization.
Bulletin Australian. Math. Soc. 66 (2002), 233-244.
[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] (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.
[20] Elliptic, hyperbolic, and condenser capacity;
geometric estimates for elliptic capacity. Journal d'Analyse
Mathematique 96 (2005), 37--55.
[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.
pdf
[25] An extremal problem for the hyperbolic
metric on Denjoy domains. Comp. Methods Function Theory.
pdf
[26] Geometric versions of Schwarz's lemma for quasiregular mappings. Proc. Amer. Math. Soc.
pdf
[27] Multi-point variations of Schwarz lemma with diameter and width conditions. Proc. Amer. Math. Soc.
pdf
[28] (with S.Pouliasis) Versions of Schwarz's lemma for condenser capacity and inner radius. Canadian Math. Bul.
pdf
August 2011