Výsledky vyhledávání - "Volodymyr Nekrashevych"

Autor: Volodymyr Nekrashevych

Publikováno v: Ergodic Theory and Dynamical Systems. 39:707-732

We associate with every etale groupoid G two normal subgroups S(G) and A(G) of the topological full group of G, which are analogs of the symmetric and alternating groups. We prove that if G is a minimal groupoid of germs (e.g., of a group action), th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e8431dc86c7de30f0fe9159d5dd29fb
https://doi.org/10.1017/etds.2017.47

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Mating, paper folding, and an endomorphism of ℙℂ²

Autor: Volodymyr Nekrashevych

Publikováno v: Conformal Geometry and Dynamics of the American Mathematical Society. 20:303-358

We are studying topological properties of the Julia set of the map F ( z , p ) = ( ( 2 z p + 1 − 1 ) 2 , ( p − 1 p + 1 ) 2 ) F(z, p)=\left (\left (\frac {2z}{p+1}-1\right )^2, \left (\frac {p-1}{p+1}\right )^2\right ) of the complex projective pl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3a0fd9befa48d59d45cca78963dd740b
https://doi.org/10.1090/ecgd/302

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Growth of étale groupoids and simple algebras

Autor: Volodymyr Nekrashevych

Publikováno v: International Journal of Algebra and Computation. 26:375-397

We study growth and complexity of \'etale groupoids in relation to growth of their convolution algebras. As an application, we construct simple finitely generated algebras of arbitrary Gelfand-Kirillov dimension $\ge 2$ and simple finitely generated

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6af2c9126e4364e5bdc0bf61973d0381
https://doi.org/10.1142/s0218196716500156

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Hyperbolic groupoids: metric and measure

Autor: Volodymyr Nekrashevych

Publikováno v: Groups, Geometry, and Dynamics. 8:883-932

We construct Patterson-Sullivan measure and a natural metric on the unit space of a hyperbolic groupoid. In particular, this gives a new approach to defining SRB measures on Smale spaces using Gromov hyperbolic graphs.
36 pages

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::febafcabd370580b1d120d15675c5a02
https://doi.org/10.4171/ggd/252

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Elektronická kniha

Hyperbolic Groupoids and Duality

Autor: Volodymyr Nekrashevych

The author introduces a notion of hyperbolic groupoids, generalizing the notion of a Gromov hyperbolic group. Examples of hyperbolic groupoids include actions of Gromov hyperbolic groups on their boundaries, pseudogroups generated by expanding self-c

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A group of non-uniform exponential growth locally isomorphic to $IMG(z^2+i)$

Autor: Volodymyr Nekrashevych

Publikováno v: Transactions of the American Mathematical Society. 362:389-398

We prove that a sequence of marked three-generated groups isomorphic to the iterated monodromy group of z 2 + i converges to a group of non-uniform exponential growth, which is an extension of the infinite direct sum of cyclic groups of order 4 by a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::29b5c854156face8bf3cc5da2cd756b8
https://doi.org/10.1090/s0002-9947-09-04825-9

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