3 papers
math.GT2025
Subspace stabilisers in hyperbolic lattices
Mikhail Belolipetsky, Nikolay Bogachev, Alexander Kolpakov +1
This paper shows that immersed totally geodesic -dimensional suborbifolds of -dimensional arithmetic hyperbolic orbifolds correspond to finite subgroups of the commensurator…
math.CO2025
Expansion properties of Whitehead moves on cubic graphs
Laura Grave de Peralta, Alexander Kolpakov
The present note concerns the "graph of graphs" that has cubic graphs as vertices connected by edges represented by the so-called Whitehead moves. Here, we prove that the outer-con…
cs.CC2024
On the impossibility of discovering a formula for primes using AI
Alexander Kolpakov, Aidan Rocke
The present work explores the theoretical limits of Machine Learning (ML) within the framework of Kolmogorov's theory of Algorithmic Probability, which clarifies the notion of entr…