Geometric group theory | Group theory
In the mathematical area of group theory, the Grigorchuk group or the first Grigorchuk group is a finitely generated group constructed by Rostislav Grigorchuk that provided the first example of a finitely generated group of intermediate (that is, faster than polynomial but slower than exponential) growth. The group was originally constructed by Grigorchuk in a 1980 paper and he then proved in a 1984 paper that this group has intermediate growth, thus providing an answer to an important open problem posed by John Milnor in 1968. The Grigorchuk group remains a key object of study in geometric group theory, particularly in the study of the so-called branch groups and automata groups, and it has important connections with the theory of iterated monodromy groups. (Wikipedia).
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Subscribe to The Daily Upside! (Free Business & Finance Newsletter): https://bit.ly/38LgdGN Russian Oligarchs have become synonymous with superyachts, luxury mansions and the shady political maneuvering of post-Soviet Russia. Since the Russian invasion of Ukraine, Russian billionaires lik
From playlist Long Videos
Rostislav Grigorchuk - Invariant random subgroups of groups of the lamplighter type
Rostislav Grigorchuk (Texas A&M University, USA) After a short introduction to invariant random subgroups (IRS) I will present some results obtained in collaboration with L.Bowen, R.Kravchenko and T.Nagnibeda and with M.Benli and T.Nagnibeda. First I will talk about IRS of groups
From playlist T1-2014 : Random walks and asymptopic geometry of groups.
Alexander Olshanskii - Relative growth of subgroups in finitely generated groups
Alexander Olshanskii (Vanderbilt University, USA and Moscow State University, Russia) Let $H$ be a subgroup of a finitely generated group $G$. The (relative) growth function $f(n)$ of $H$ with respect to a finite set $A$ generating $G$, is given by the formula $f(n) = card \{g\in H;
From playlist T1-2014 : Random walks and asymptopic geometry of groups.
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From playlist Analyses
Anna Erschler: Arboreal structures, Poisson boundary and growth of Groups
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From playlist HIM Lectures: Trimester Program "Logic and Algorithms in Group Theory"
Rostislav Grigorchuk: Random subgroups, totally non free actions and factor representations
I will present results of three studies, performed in collaboration with M.Benli, L.Bowen, A.Dudko, R.Kravchenko and T.Nagnibeda, concerning the invariant and characteristic random subgroups in Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathemat
From playlist Dynamical Systems and Ordinary Differential Equations
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From playlist Topology
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From playlist Geometry, Groups and Dynamics (GGD) - 2017
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From playlist Geometry, Groups and Dynamics (GGD) - 2017
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From playlist Mathematics
Introduction to hyperbolic groups (Lecture – 01) by Mahan Mj
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From playlist Geometry, Groups and Dynamics (GGD) - 2017
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