Dissertation committee:
• Dimitris Cheliotis, Professor, National and Kapodis-
trian University of Athens, Department of Mathemat-
ics. (supervisor)
• Michail Loulakis, Professor, National Technical Uni-
versity of Athens.
• Nikolaos Papadatos, Professor, National and Kapodis-
trian University of Athens, Department of Mathemat-
ics.
• Aristides Katavolos, Emeritus Professor, National and
Kapodistrian University of Athens, Department of Math-
ematics.
• Ioannis Kontoyiannis, Professor, University of Cam-
bridge, Department of Pure Mathematics and Mathe-
matical Statistics.
• Aris Moustakas, Associate Professor, National and
Kapodistrian University of Athens, Department of Physics.
• Konstantinos Tyros, Associate Professor, National
and Kapodistrian University of Athens, Department
of Mathematics
Summary:
This thesis consists of two parts and examines the asymptotic behavior of the extreme
eigenvalues of some random matrix models.
In the first part of the thesis we examine the asymptotic behavior of the least singular value of random matrices with stable entries and in the second part we find sufficient conditions for the convergence of the largest eigenvalue of symmetric random matrices with a variance profile to the largest element of the support of the limiting measure.
