A multivariate extension of the Erdös-Taylor theorem

Dimitris Lygkonis, Nikos Zygouras

The Erdös-Taylor theorem [Acta Math. Acad. Sci. Hungar, 1960] states that if ${\mathsf{L}}_N$ is the local time at zero, up to time $2N$, of a two-dimensional simple, symmetric rando…