3 papers
math.DS2025
Products of exact dynamical systems and Lorentzian continued fractions
Brandon G. Barreto-Rosa, Jean-Philippe Burelle, Anton Lukyanenko +1
We describe a new continued fraction system in Minkowski space , proving convergence, ergodicity with respect to an explicit invariant measure, and Lagrange's theo…
cs.LG2025
CayleyPy RL: Pathfinding and Reinforcement Learning on Cayley Graphs
A. Chervov, M. Obozov, A. Soibelman +31
This paper is the second in a series of studies on developing efficient artificial intelligence-based approaches to pathfinding on extremely large graphs (e.g. nodes) wit…
math.NT2022
Convergence of improper Iwasawa Continued Fractions
Anton Lukyanenko, Joseph Vandehey
We prove the convergence of a wide class of continued fractions, including generalized continued fractions over quaternions and octonions. Fractional points in these systems are no…