Students' Theses
PhD Theses
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Problems in Geometric Functional Analysis
Nikos Skarmogiannis, University of Athens, October 2020 (in Greek,
pdf)
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Functional inequalities and applications to convex and stochastic geometry
Dimitris-Marios Liakopoulos, University of Athens, June 2019 (in Greek,
pdf)
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Geometric Problems in Non-Linear Functional Analysis
Giorgos Chasapis, University of Athens, September 2018 (in Greek,
pdf)
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Geometric Functional Analysis and Applications to Combinatorics
Silouanos Brazitikos, University of Athens, November 2017 (in Greek,
pdf)
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Probabilistic Methods in Convex Geometric Analysis
Labrini Hioni, University of Athens, June 2017 (in Greek,
pdf)
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Classical positions of convex bodies
Eleftherios Markessinis, University of Athens, May 2015 (in Greek,
pdf)
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Geometry of the L_q Centroid Bodies
Pantelis Stavrakakis, University of Athens, February 2014 (in Greek,
pdf)
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Geometry of isotropic log-concave measures
Beatrice-Helen Vritsiou, University of Athens, June 2013 (in Greek,
pdf)
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Problems in Asymptotic Geometric Analysis
Petros Valettas, University of Athens, May 2012 (in Greek,
pdf)
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Probabilistic Methods in Asymptotic Geometric Analysis
Nikos Dafnis, University of Athens, January 2010 (in Greek,
pdf)
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Random Polytopes
Nikos Markoulakis, University of Crete, November 2006 (in Greek,
pdf)
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Volume Inequalities for Sections and Projections of Convex
Bodies
Grigoris Paouris, University of Crete, January 2004 (in Greek,
pdf)
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Probabilistic Methods in the Theory of Convex Bodies
Marianna Hartzoulaki, University of Crete, March 2003 (in Greek, pdf)
MSc Theses
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Bourgain's slicing problem and Kannan-Lovasz-Simonovits
isoperimetry up to polylog
Sotiris Armeniakos, University of Athens, April 2023 (in Greek,
pdf).
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Hadwiger's covering problem
Natalia Tziotziou, University of Athens, March 2023 (in Greek,
pdf).
-
Improved Holder and inverse Holder inequalities for Gaussian random vectors
Elisavet Dimoula, University of Athens, September 2022 (in Greek,
pdf)
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Quantitative versions of Roth's theorem on arithmetic progressions
Christos Falaras, University of Athens, September 2021 (in Greek,
pdf)
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Ergodic theory of actions on locally compact groups
Alexandros Vlandos, University of Athens, July 2021 (in Greek,
pdf)
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Borsuk-Ulam theorem and applications to combinatorics, geometry and analysis
Despina Stamataki, University of Athens, June 2021 (in Greek,
pdf)
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Fourier multipliers and Littlewood-Paley theory
Vassiliki Balidou, University of Athens, June 2021 (in Greek,
pdf)
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Banach spaces of continuous functions
Panagiotis Gasparis, University of Athens, May 2021 (in Greek,
pdf)
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Approaches to the hyperplane conjecture on the volume of sections of convex bodies
Konstantinos Patsalos, University of Athens, March 2021 (in Greek,
pdf)
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Consistency of the generalized continuum hypothesis with the ZFC axioms
George Maraggelis, University of Athens (co-advisor: C. Dimitrakopoulos),
March 2021 (in Greek,
pdf)
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Unital quantum channels, majorization and Nielsen's theorem
Argiro Karimali, University of Athens (co-advisor: M. Anoussis),
March 2021 (in Greek,
pdf)
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Entropy, hypercontractivity and Talagrand's inequalities
Minas Pafis, University of Athens, October 2020 (in Greek,
pdf)
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Ergodic structure theorems and applications to multiplicative functions
Konstantinos Tsinas, University of Athens, September 2019 (co-advisors: N. Frantzikinakis and D. Gatzouras,
in Greek,
pdf)
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Topics in Additive Number Theory
Alexandros Iliopoulos, University of Athens, September 2019 (in Greek,
pdf)
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Random Fourier Series
Ioannis Smyth, University of Athens, June 2019 (in Greek,
pdf)
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Ricci curvature of Markov chains in metric spaces
George Papadakis, University of Athens, January 2019 (in Greek,
pdf)
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Geometric analysis of Sobolev inequalities
Athanasios Zacharopoulos, University of Athens, November 2018 (in Greek,
pdf)
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Rearrangement inequalities and applications to convex geometric analysis
Panagiota Chatziantoni, University of Athens, October 2018 (in Greek,
pdf)
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Isoperimetric inequalities for the Gaussian measure
Maria Mastrotheodorou, University of Athens, January 2018 (in Greek,
pdf)
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Type-cotype and the Maurey-Pisier theorem
Vasilis Sterios, University of Athens, June 2017 (in Greek,
pdf)
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Logarithmic Brunn-Minkowski inequality and the logarithmic Minkowski problem
Pavlos Kalantzopoulos, University of Athens, June 2017 (in Greek,
pdf)
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Bourgain discretization theorem and quantitative differentiation
Stelios Botsis, University of Athens, June 2017 (in Greek,
pdf)
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Pointwise convergence of Fourier series: Carleson's theorem
Nikos Skarmogiannis, University of Athens, July 2016 (in Greek,
pdf)
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High dimensional maximal functions associated to convex bodies
Nikolaos Panagiotakos, University of Athens, June 2016 (in Greek,
pdf)
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The best constant in Grothendieck's inequality
Alexandros Georgakopoulos, University of Athens, June 2016 (in Greek,
pdf)
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Spectral sparsification and the Kadison-Singer problem
Konstantinos Stoumpos, University of Athens, July 2015 (in Greek,
pdf)
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Optimal Transportation and Geometric Inequalities
Tania Papanikolaou, University of Athens, November 2014 (in Greek,
pdf)
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The Bernoulli conjecture
Dimitris-Marios Liakopoulos, University of Athens, July 2014 (in Greek,
pdf)
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Metric type and cotype
George Chasapis, National Technical University of Athens, March 2014 (in Greek,
pdf)
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Kannan-Lovasz-Simonovits conjecture
Silouanos Brazitikos, University of Athens, February 2014 (in Greek,
pdf)
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The central limit problem for log-concave probability measures
Labrini Hioni, University of Athens, February 2013 (in Greek,
pdf)
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The approximation property and the basis problem in Banach spaces
Andreas Mitropoulos, University of Athens, February 2012 (in Greek,
pdf)
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Arithmetic progressions in the primes: the Green-Tao theorem
Beatrice-Helen Vritsiou, University of Athens, October 2010 (in Greek,
pdf)
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Invertibility of large matrices and the Kadison-Singer problem
Lefteris Markessinis, University of Athens, September 2010 (in Greek,
pdf)
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Functional inequalities and concentration of measure
Pantelis Stavrakakis, University of Athens, June 2009 (in Greek,
pdf)
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Finite dimensional subspaces of L_p
Petros Valettas, University of Athens, May 2009 (in Greek,
pdf)
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Embeddings of finite metric spaces into normed spaces
Tasos Tsesmetzis, National Technical University of Athens, April 2005 (in Greek,
pdf)
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Majorizing measures
Nikos Dafnis, University of Crete, November 2002 (in Greek,
pdf)
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Concentration of measure in product spaces
Nikos Markoulakis, University of Crete, September 2001 (in Greek,
pdf)
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Mahler's conjecture and the inverse Santalo inequality
George Tzibragos, University of Crete, September 2001 (in Greek,
pdf)
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The theorems of Dvoretzky and Krivine
Marianna Hartzoulaki, University of Crete, April 1999 (in Greek,
pdf)
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The hyperplane conjecture for convex bodies
Grigoris Paouris, University of Crete, April 1999 (in Greek,
pdf)
BSc Theses
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The Thue-Siegel-Roth theorem
Vassiliki Laina, University of Athens, June 2010 (in Greek,
pdf)
-
Geometry of numbers
Eleni Tzanaki, University of Crete, May 2000 (in Greek,
pdf)
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The Komlos conjecture
Nikos Dafnis, University of Crete, May 2000 (in Greek,
pdf)
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The diameter of the Banach-Mazur compactum
Dimitris Mitsotakis, University of Crete, April 2000 (in Greek,
pdf)
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Isoperimetric inequalities and concentration of measure
Marisa Zimonopoulou, University of Crete, March 1998 (in Greek,
pdf)