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- M. Gromov
- 2003

This paper compiles basic components of the construction of random groups and of the proof of their properties announced in [G10]. Justification of each step, as well as the interrelation between them, is straightforward by available techniques specific to each step. On the other hand, there are several ingredients that cannot be truly appreciated without… (More)

- MISHA GROMOV
- 2000

Departing from the symbolic dynamics, we study natural group action on spaces of holomorphic maps and complex subvarieties. Start from some category of spaces X and the maps between them. These can be bare sets with no additional structure and all maps, topological spaces and continuous maps, smooth manifolds, algebraic varieties, linear or affine spaces,… (More)

- Misha GROMOV
- 2007

- Manor Mendel, Misha Gromov
- 2003

This paper is devoted to the study of quotients of finite metric spaces. The basic type of question we ask is: Given a finite metric space M and α ≥ 1, what is the largest quotient of (a subset of) M which well embeds into Hilbert space. We obtain asymptotically tight bounds for these questions, and prove that they exhibit phase transitions. We also study… (More)

- Yasha Eliashberg, Misha Gromov
- 2004

- Thomas Delzant, Misha Gromov, MISHA GROMOV
- 2008

Nous présentons une approche asymptotiquè a la théorie de la petite simplification, et l'appliquonsà l'´ etude des groupes de Burnside libres. Abstract We present an asymptotic approach to small cancelation theory, and apply this method to the study of the free Burnside groups. The point of this article is to give a detailed account of the asymptotic… (More)

- Misha Gromov
- 2011

- M Gromov, M A Shubin
- 2005

- Misha Gromov
- 2012

Mathematics is about ”interesting structures”. What make a structure interesting is an abundance of interesting problems; we study a structure by solving these problems. The worlds of science, as well as of mathematics itself, is abundant with gems (germs?) of simple beautiful ideas. When and how may such an idea direct you toward beautiful mathematics? I… (More)

- Thomas Delzant, Misha Gromov
- 2005

We study fundamental groups of Kähler manifolds via their cuts or relative ends. 1. A group G is called Kähler if it serves as the fundamental group π 1 (V) of a compact Kähler manifold V. Equivalently, such a group G appears as a discrete free co-compact isometry group of a complete simply connected Kähler manifold X – the Galois group acting on the… (More)