User profiles for M. Sapir

Mark Sapir

Vanderbilt University
Verified email at vanderbilt.edu
Cited by 4081

[HTML][HTML] Tree-graded spaces and asymptotic cones of groups

C Druţu, M Sapir - Topology, 2005 - Elsevier
… In Section 8 and in the Appendix (written by Osin and Sapir), we prove the characterization
… piece M and not contained in M , then a point z in p ⧹ M is on a sub-arc p ′ of p intersecting …

[BOOK][B] Diagram groups

V Guba, M Sapir - 1997 - books.google.com
… Meakin and M.Sapir and was first explored by V. Kilibarda, in her thesis [17]. In particular,
she proved that every equivalence class of semigroup diagrams contains unique diagram …

Algorithmic problems in varieties

OG Kharlampovich, MV Sapir - International Journal of Algebra and …, 1995 - World Scientific
… For example if :1; is a natural number then we can represent m as :1; units. Then the size of
:c will be equal to 2:. If we represent a; as a sequence of binary digits then the size of x will be …

The relationship between ethnicity and advance directives in a frail older population

…, H Strothers, M Sapir, M Wei, M Wilson - Journal of the …, 1996 - Wiley Online Library
OBJECTIVE: To assess the relationship between ethnicity and Health Care wishes, including
Advance Directives, in a group of frail older persons in PACE (Program For All Inclusive …

Intersystem crossing in the helicenes

M Sapir, E Vander Donckt - Chemical Physics Letters, 1975 - Elsevier
The rate constants of radiationless S 1 → T n and T 1 → S 0 intersystem crossing of six
helicenes have been evaluated by combining emission lifetimes and quantum yields of …

Non-amenable finitely presented torsion-by-cyclic groups

AY Ol'shanskii, MV Sapir - Publications Mathématiques de l'Institut des …, 2003 - Springer
We construct a finitely presented non-amenable group without free non-cyclic subgroups thus
providing a finitely presented counterexample to von Neumann’s problem. Our group is an …

Problems of Burnside type and the finite basis property in varieties of semigroups

MV Sapir - Mathematics of the USSR-Izvestiya, 1988 - iopscience.iop.org
… Is every semigroup in 97t satisfying an identity of the form xn =xn+m, m > 1, locally finite?
P2 (the analogue of the generalized Burnside problem). Is every periodic semigroup in 371 …

[BOOK][B] Combinatorial algebra: syntax and semantics

MV Sapir - 2014 - books.google.com
… After m hours you will get a word of length m. For example, you can drive along the US
Interstate 80 from Chicago (IL) to Lincoln (NE) with a speed of 65 miles per hour and every hour …

Divergence in lattices in semisimple Lie groups and graphs of groups

C Druţu, S Mozes, M Sapir - Transactions of the American Mathematical …, 2010 - ams.org
Divergence functions of a metric space estimate the length of a path connecting two points $
A $, $ B $ at distance $\le n $ avoiding a large enough ball around a third point $ C $. We …

Isoperimetric and isodiametric functions of groups

MV Sapir, JC Birget, E Rips - Annals of Mathematics, 2002 - JSTOR
Sapir realized that although the group B'(M) does not simulate the Turing machine M, it still
simulates a "machine" related to MSapir's proof of this fact presented in this paper is probably …