Rostislav Grigorchuk
Rostislav Ivanovich Grigorchuk (; ; b. February 23, 1953) is a mathematician working in different areas of mathematics including
group theory,
dynamical systems,
geometry and
computer science. He holds the rank of
Distinguished Professor in the Mathematics Department of
Texas A&M University. Grigorchuk is particularly well known for having constructed, in a 1984 paper, the first example of a
finitely generated group of intermediate
growth, thus answering an important problem posed by
John Milnor in 1968. This group is now known as the
Grigorchuk group and it is one of the important objects studied in
geometric group theory, particularly in the study of branch groups, automaton groups and
iterated monodromy groups. Grigorchuk is one of the pioneers of asymptotic group theory as well as of the theory of dynamically defined groups. He introduced the notion of branch groups and developed the foundations of the related theory. Grigorchuk, together with his collaborators and students, initiated the theory of groups generated by finite Mealy type automata, interpreted them as groups of
fractal type, developed the theory of groups acting on rooted trees, and found numerous applications of these groups in various fields of mathematics including
functional analysis,
topology,
spectral graph theory,
dynamical systems and
ergodic theory.
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