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math.DS2018★ 3 cited
A first integrability result for Miquel dynamics
Alexey Glutsyuk, Sanjay Ramassamy
Miquel dynamics is a discrete-time dynamical system on the space of square-grid circle patterns. For biperiodic circle patterns with both periods equal to two, we show that the dyn…
math.DS2017★ 2 cited
Miquel dynamics for circle patterns
Sanjay Ramassamy
We study a new discrete-time dynamical system on circle patterns with the combinatorics of the square grid. This dynamics, called Miquel dynamics, relies on Miquel's six circles th…