12 citations · 61 across the 21 of their papers we have counts for
30 papers
Sky sphere representation in language models
Aleksandr Berdnikov, Yevgeny Liokumovich
We analyze whether language models of size ~100B have a representation of the night sky map that is decodable from their residual stream. We find that most of the considered open-s…
Length of a closed geodesic in 3-manifolds of positive scalar curvature
Yevgeny Liokumovich, Davi Maximo, Regina Rotman
Let be a closed -dimensional Riemannian manifold with positive scalar curvature, . We show that contains a non-trivial closed geodesic of length less than $2…
Quantifying stability of non-power-seeking in artificial agents
Evan Ryan Gunter, Yevgeny Liokumovich, Victoria Krakovna
We investigate the question: if an AI agent is known to be safe in one setting, is it also safe in a new setting similar to the first? This is a core question of AI alignment--we t…
The Smale conjecture and min-max theory
Daniel Ketover, Yevgeny Liokumovich
We give a new proof of the Smale conjecture for and all lens spaces using minimal surfaces and min-max theory. For , the conjecture was first proved…
On the waist and width inequality in complete 3-manifolds with positive scalar curvature
Yevgeny Liokumovich, Zhichao Wang
We show that a complete non-compact 3-manifold with scalar curvature bounded below by a positive constant admits a singular foliation by surfaces of controlled area and diameter.
Geodesic nets on non-compact Riemannian manifolds
Gregory R. Chambers, Yevgeny Liokumovich, Alexander Nabutovsky +1
A geodesic flower is a finite collection of geodesic loops based at the same point that satisfy the following balancing condition: The sum of all unit tangent vectors to all ge…