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math.NT2026
Spherical statistics and phase transitions in high-dimensional lattices
Thijs Laarhoven
We study the spherical statistics of all the points in a thin shell of a high-dimensional random lattice. The exact relations between lattice points make it unclear when prediction…
math.NT2012★ 3 cited
The Collatz conjecture and De Bruijn graphs
Thijs Laarhoven, Benne de Weger
We study variants of the well-known Collatz graph, by considering the action of the 3n+1 function on congruence classes. For moduli equal to powers of 2, these graphs are shown to…