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math-ph2023★ 1 cited
Möbius invariant Y-systems (cluster structures) for Miquel dynamics
Niklas Christoph Affolter
Miquel dynamics is a discrete time dynamics for circle patterns, which relies on Miquel's six circle theorem. Previous work shows that the evolution of the circle centers satisfy t…
math.CO2023★ 3 cited
Discrete Differential Geometry and Cluster Algebras via TCD maps
Niklas Christoph Affolter
In this PhD thesis we develop the frame work of triple crossing diagram maps (TCD maps), which describes constrained configurations of points in projective spaces and discrete dyna…