[Turkmath:9411] MSGSU Seminer: M. Gökhan Benli / On growth of random groups of intermediate growth / 13.12.13 CUMA

[Mustafa Topkara]

Mimar Sinan Güzel Sanatlar Üniversitesi - Matematik Bölümü
Genel Seminer

Konuşmacı:
Mustafa Gökhan Benli (Texas A&M University)

Baslik:
On growth of random groups of intermediate growth.

Özet:
The growth of a finitely generated group is an asymptotic invariant and
measures the behaviour of sizes of balls in its Cayley graph. While
examples of groups with polynomial and exponential growth are ubiquitous,
the first examples of groups for which the growth is intermediate were
constructed by R. Grigorchuk in 1984.  We study the growth of typical
groups from this family and  find that, in the sense of category, a
generic group exhibits  oscillating growth with no universal upper bound.
At the same time, from a measure-theoretic point of view (i.e., almost
surely relative to an appropriately chosen probability measure), the growth
function is bounded by $e^{n^\alpha}$ for some $\alpha<1$. This is joint
work with R. Grigorchuk and Y. Vorobets.

Yer:
MSGSÜ Bomonti Kampüsü (Harita <http://math.msgsu.edu.tr/iletisim.html>),
Matematik Bölümü Seminer Odası.

Zaman:
13 Aralık 2013 CUMA, 16:00
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