9 citations · 34 across the 20 of their papers we have counts for
27 papers
Finite Stick Breaking Sequences
Jan-Tino Brethouwer, Anne Buijsrogge, Robbert Fokkink
In 1949, De Bruijn and Erdős considered infinite stick-breaking sequences. In this work, we consider finite sequences and prove that an infinite sequence that is due to De Bruijn,…
Collapse to extremality: The third law of black hole thermodynamics in quantum gravity
Gustavo J. Turiaci, Chih-Hung Wu
We present a two-step construction to violate the classical third law of black hole thermodynamics for charged black holes in four dimensions. A near-extremal black hole with an $\…
Cobham's theorem for the Gaussian integers
Álvaro Bustos-Gajardo, Robbert Fokkink, Reem Yassawi
Assuming the four exponentials conjecture, Hansel and Safer showed that if a subset of the Gaussian integers is both - and -recognizable, then it is syndetic,…
On Cloitre's hiccup sequences
Robbert Fokkink, Gandhar Joshi
In 2003, Benoit Cloitre entered a family of sequences in the OEIS that we call hiccup sequences. We collect the various claims, observations, and proofs of properties of these sequ…
Anti-recurrence sequences
Robbert Fokkink, Gandhar Joshi
We extend previous work on anti-recurrence sequences of Kimberling and Moses, Zaslavsky, and Bosma et al. Kimberling and Moses have formulated several questions on these sequences,…
On the records and zeros of a deterministic random walk
Henk Bruin, Robbert Fokkink
We settle two questions on sequence A120243 in the OEIS that were raised by Clark Kimberling and partly solve a conjecture of Van de Lune and Arias de Reyna. We extend Kimberling's…