27 citations · 201 across the 34 of their papers we have counts for
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math.DS2008
Attractor Networks on Complex Flag Manifolds
Joachim Hilgert
Robbin and Salamon showed that attractor-repellor networks and Lyapunov maps are equivalent concepts and illustrate this with the example of linear flows on projective spaces. In t…
math.RT2008★ 8 cited
Chevalley's restriction theorem for reductive symmetric superpairs
Alexander Alldridge, Joachim Hilgert, Martin R. Zirnbauer
Let (g,k) be a reductive symmetric superpair of even type, i.e. so that there exists an even Cartan subspace a in p. The restriction map S(p^*)^k->S(a^*)^W where W=W(g_0:a) is the…
math.DS2008★ 2 cited
Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one
J. Hilgert, A. D. Pohl
We present a strategy for a geometric construction of cross sections for the geodesic flow on locally symmetric orbifolds of rank one. We work it out in detail for ,…