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Chapter 1 References

E.A. Abbott (1884). Flatland: a Romance of Many

Dimensions. Seeley, London.

K. Falconer (1990). Fractal Geometry. Wiley,

Chichester.

M. Kac (1966). Can one hear the shape of a drum?

American Mathematical Monthly 73 1-23.

MLL. Lapidus, J.W. Neuberger, R.J. Renka, and C.A.

Griffith (1996). Snowflake harmonics and computer

graphics: numerical computation of spectra on frac-

tal drums. International Journal of Bifurcation and

Chaos 6 1185-1210.

G. Lawler, O. Schramm, and W. Werner (2000).

The dimension of the planar Brownian frontier is */,.

Preprint, Duke University.

E. Lorenz (1963). Deterministic nonperiodic flow.

Journal of the Atmospheric Sciences 20 130-141.

B. Mandelbrot (1977). Fractals: Form, Chance, and

Dimension. Freeman, San Francisco.

B. Mandelbrot (1982). The Fractal Geometry of

Nature. Freeman, San Francisco.

D. Ruelle and F. Takens (1971). On the nature

of turbulence, Communications in Mathematical

Physics 20 167-192.

I. Stewart (1996). From Here to Infinity. OUP, Oxford.

I. Stewart (2001). Flatterland. Macmillan, London.