[Turkmath:10102] GSÜ Matematik Bölümü seminer duyurusu: Deniz Karlı

[Ayberk Zeytin]

Değerli liste üyeleri,

Galatasaray Üniversitesi Matematik Bölümü Seminerleri kapsamında 15 Ekim (Çarşamba günü) saat 15.00'da FEF 09 nolu sınıftaki konuşmacımız  Işık Üniversitesi'nden Deniz Karlı olacaktır. Konuşma ile ilgili detaylı bilgiler şöyledir:

Başlık: Stable processes and bounded L^p operators

Özet : There is a strong connection between Analysis and Probability Theory. The classical results of Analysis can be obtained by using tools of Martingale Theory, and Brownian motion as the underlying process. Brownian motion is a very specific L\'evy process which embraces many ``nice" properties where these properties allows one to reproduce probabilistic alternatives of classical tools. On the other hand, it is possible to study more general L\'evy processes with some cost.\\ In this talk, we will discuss the question that to what extent we can generalise this process provided that the connection with Analysis is not lost. We will consider some results on bounded linear operators on $L^p(\mathbb{R}^d)$ when the underlying process is taken to be the symmetric stable process which shares some fundamental properties of Brownian motion. We will argue the tools obtained by means of this more general process, and define a new class of harmonic functions to work with. We will also provide a Harnack's Inequality for this new class of harmonic functions.

Bölümümüzdeki genel seminerlere ve diger araştırma faaliyetlerine:

http://math.gsu.edu.tr/faaliyet.html

adresinden ulaşabilirsiniz.

Saygılarımla,
-- 
Ayberk Zeytin
Matematik Bölümü
Galatasaray Üniversitesi
http://math.gsu.edu.tr/azeytin/