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Mandelbrot and Fractals: The Geometry of Chaos

When:

Tue 30 May 2017, 7:00pm

Where: Massey University Albany Campus, State Highway 17, Albany, Auckland

Restrictions: All Ages

Ticket Information:

  • Admission: Free

Listed by: c37286j

Distinguished Professor Gaven Martin.

Fractals and fractal structures are ubiquitous in nature where small scale symmetries are repeated at ever larger scales or large-scale symmetries repeated at the ever-finer detail. We can see this in snowflakes and in the Mandelbrot set.

The remarkable fractal Lorenz Butterfly (the butterfly effect) arising from simple models of weather predictions shows fractal structures naturally arising in chaotic systems.

The mathematical concept is difficult to define formally even for mathematicians, but key features can be understood with little mathematical background. We will discuss these, along with the notion of fractional dimensions (a measure of the scaling properties of an object) and emergent structures in dynamical systems.

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