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20242026
most citedMarked length spectrum rigidity in groups with contracting elements

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math.GR2026

Growth gaps and exponential genericity in acylindrically hyperbolic groups

Lihuang Ding, Wenyuan Yang

Let be a finitely generated group acting by isometries on a geodesic metric space with two independent strongly contracting WPD elements. We prove that, for every finite genera…

math.GR2026

Sublinear projection tracking in acylindrically hyperbolic groups

Lihuang Ding, Wenyuan Yang

We study projection phenomena in word metrics of finitely generated acylindrically hyperbolic groups. For a loxodromic WPD element acting on a hyperbolic space, we prove that short…