4 papers
Hyperbolic generalized triangle groups, property (T) and finite simple quotients
Pierre-Emmanuel Caprace, Marston Conder, Marek Kaluba +1
We construct several series of explicit presentations of infinite hyperbolic groups enjoying Kazhdan's property (T). Some of them are significantly shorter than the previously know…
Geometric Disentanglement by Random Convex Polytopes
Michael Joswig, Marek Kaluba, Lukas Ruff
We propose a new geometric method for measuring the quality of representations obtained from deep learning. Our approach, called Random Polytope Descriptor, provides an efficient d…
Polymake.jl: A new interface to polymake
Marek Kaluba, Benjamin Lorenz, Sascha Timme
We present the Julia interface Polymake.jl to polymake, a software for research in polyhedral geometry. We describe the technical design and how the integration into Julia makes it…
On property (T) for and
Marek Kaluba, Dawid Kielak, Piotr W. Nowak
We prove that has Kazhdan's property (T) for every . Together with a previous result of Kaluba, Nowak, and Ozawa, this gives the same state…