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- Jane Gilman, Linda Keen
- 2002

There are certain sequences of words in the generators of a twogenerator subgroup of SL(2,C) that frequently arise in the Teichmüller theory of hyperbolic three-manifolds and Kleinian groups. In this paper we establish the connection between two such families, the family of Farey words that have been used by Keen-Series to understand the boundaries of the… (More)

- LINDA KEEN, JANINA KOTUS
- 1997

We study the the tangent family F = {λ tan z, λ ∈ C − {0}} and give a complete classification of their stable behavior. We also characterize the the hyperbolic components and give a combinatorial description of their deployment in the parameter plane.

- Linda Keen, Bernard Maskit
- 1993

J. Reine Angew. Math 436 (1993), pp. 209– 219. Stony Brook IMS Preprint #1991/23 December 1991 Let G ⊂ PSL(2,C) be a geometrically finite Kleinian group, with region of discontinuity Ω(G). By Ahlfors’ finiteness theorem, the quotient, Ω(G)/G, is a finite union of Riemann surfaces of finite type. Thus on it, there are only finitely many mutually disjoint… (More)

- Linda Keen
- 1977

In this paper we give a complete description of the space QF of quasifuchsian punctured torus groups in terms of what we call pleating invariants. These are natural invariants of the boundary ∂C of the convex core of the associated hyperbolic 3-manifold M and give coordinates for the non-Fuchsian groups QF −F . The pleating invariants of a component of ∂C… (More)

- L Keen, M Amar, D J Beadle, I Bermudez
- Tissue & cell
- 1994

Insect glial cells derived from the embryonic brain of Periplaneta americana cockroaches have been kept in primary culture conditions for up to 3 weeks. Under the culture conditions used, the glial cells differentiated and formed a complex cellular network on the floor of the culture vessels from which glial-glial and glial-neuronal contacts could be seen.… (More)

- BY LINDA KEEN, LINDA KEEN
- 2007

Let T(S) be the Teichmüller space of Riemann surfaces of finite type and let M(S) be the corresponding modular group. In [11] we described T(S) in terms of real analytic parameters. In this paper we determine a subspace R(S) of T(S) which is a "rough fundamental domain" for M (S) acting on T(S). The construction of R(S) is a generalization of the… (More)

- LINDA KEEN, NIKOLA LAKIC
- 2004

Given a random sequence of holomorphic maps f1, f2, f3, . . . of the unit disk ∆ to a subdomain X, we consider the compositions Fn = f1 ◦ f2 ◦ . . . fn−1 ◦ fn. The sequence {Fn} is called the iterated function system coming from the sequence f1, f2, f3, . . . . We prove that a sufficient condition on the domain X for all limit functions of any {Fn} to be… (More)

- LINDA KEEN
- 1992

We construct new coordinates for the Teichmüller space Teich of a punctured torus into R x R+ . The coordinates depend on the representation of Teich as a space of marked Kleinian groups GM that depend holomorphically on a parameter p varying in a simply connected domain in C . They describe the geometry of the hyperbolic manifold H3/^ ; they reflect… (More)

- JANE GILMAN, LINDA KEEN
- 2008

We consider non-elementary representations of two generator free groups in PSL(2,C), not necessarily discrete or free, G = 〈A,B〉. A word in A and B, W (A,B), is a palindrome if it reads the same forwards and backwards. A word in a free group is primitive if it is part of a minimal generating set. Primitive elements of the free group on two generators can be… (More)