Showing 2026Show all
2 papers · 1 filter
math.CO2026
The Birthday Paradox for non-backtracking walks on regular graphs
Benjamin Dozier
We show a birthday paradox for random non-backtracking walk on regular graphs of degree at least : such a walk of length has high probability of self-intersecting when i…
math.DS2026
Unbounded bunching of saddle connections on the golden L
Benjamin Dozier
We show there is a translation surface (the golden L) that has unbounded bunching: for every positive integer K there exists a ball B of radius 1 in R^2 that contains at least K ve…