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Hausdorff Dimension and Conformal Dynamics III: Computation of Dimension
(Johns Hopkins University Press, 1998)
This paper presents an eigenvalue algorithm for accurately computing the Hausdorff dimension of limit sets of Kleinian groups and Julia sets of rational maps. The algorithm is applied to Schottky groups, quadratic polynomials ...
Self-Similarity of Siegel Disks and Hausdorff Dimension of Julia Sets
(Springer Netherlands, 1998)
Let f(z) = e2 i z +z2, where θ is an irrational number of bounded type. According
to Siegel, f is linearizable on a disk containing the origin. In this paper we show:
• the Hausdorff dimension of the Julia set J(f) is ...
The Classification of Conformal Dynamical Systems
(International Press, 1995)
On the Computational Architecture of the Neocortex II: The Role of Cortico-Cortical Loops
(Springer Verlag, 1992)
This paper is a sequel to an earlier paper which proposed an active role for the thalamus, integrating multiple hypotheses formed in the cortex via the thalamo-cortical loop. In this paper, I put forward a hypothesis on ...
Ring-Theoretic Properties of Certain Hecke Algebras
(Princeton University, 1995)
Icosahedral Galois Representations
(Mathematical Sciences Publishers, 1997)
To the memory of Olga Taussky-Todd
Riemann Surfaces and the Geometrization of 3-Manifolds
(American Mathematical Society, 1992)
Rational Maps and Kleinian Groups
(Springer, 1991)
Rational Maps and \(Teichm\ddot{u}ller\) Space
(Springer, 1994)
The Role of the Primary Visual Cortex in Higher Level Vision
(Elsevier, 1998)
In the classical feed-forward, modular view of visual processing, the primary visual cortex (area V1) is a module that serves to extract local features such as edges and bars. Representation and recognition of objects are ...