City College of New York

output

19922026

most citedExperimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions

3.4k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2002 · math.GRShow all

7 papers · 2 filters

math.GR2002

Automorphic orbits in free groups

Alexei G. Myasnikov, Vladimir Shpilrain

Let $F_{n}$ be the free group of a finite rank $n$ . We study orbits $O r b_{ϕ} (u)$ , where $u$ is an element of the group $F_{n}$ , under the action of an automorphism $ϕ$ . If an orbit like…

math.GR2002★ 1 cited

Average-case complexity and decision problems in group theory

Ilya Kapovich, Alexei Myasnikov, Paul Schupp +1

We investigate the average-case complexity of decision problems for finitely generated groups, in particular the word and membership problems. Using our recent results on ``generic…

math.GR2002★ 3 cited

Thompson's group F is not almost convex

Sean Cleary, Jennifer Taback

We show that Thompson's group F does not satisfy Cannon's almost convexity condition AC(n) for any integer n in the standard finite two generator presentation. To accomplish this,…

math.GR2002

Multiplicative measures on free groups

Alexandre V. Borovik, Alexei G. Myasnikov, Vladimir N. Remeslennikov

We introduce a family of atomic measures on free groups generated by no-return random walks. These measures are shown to be very convenient for comparing "relative sizes" of subgro…

math.GR2002

Measuring sets in infinite groups

Alexandre V. Borovik, Alexei G. Myasnikov, Vladimir Shpilrain

We are now witnessing a rapid growth of a new part of group theory which has become known as "statistical group theory". A typical result in this area would say something like ``a…

math.GR2002

Representing braids by automorphisms

Vladimir Shpilrain

Based on a normal form for braid group elements suggested by Dehornoy, we prove several representations of braid groups by automorphisms of a free group to be faithful. This includ…

math.GR2002

Generic-case complexity, decision problems in group theory and random walks

Ilya Kapovich, Alexei Myasnikov, Paul Schupp +1

We give a precise definition of ``generic-case complexity'' and show that for a very large class of finitely generated groups the classical decision problems of group theory - the…