9 citations · 16 across the 3 of their papers we have counts for
4 papers
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 is the local time at zero, up to time , of a two-dimensional simple, symmetric rando…
Moments of the 2d directed polymer in the subcritical regime and a generalisation of the Erdös-Taylor theorem
Dimitris Lygkonis, Nikos Zygouras
We compute the limit of the moments of the partition function of the directed polymer in dimension in the subcritical regime, i.e. when the inverse temperature…
Edwards-Wilkinson fluctuations for the directed polymer in the full -regime for dimensions
Dimitris Lygkonis, Nikos Zygouras
We prove that in the full -regime the partition function of the directed polymer model in dimensions , if centered, scaled and averaged with respect to a test functio…
Localized versions of function spaces and generic results
Dimitris Lygkonis, Vassilis Nestoridis
We consider generalizations of classical function spaces by requiring that a holomorphic in function satisfies some property when we approach from , not the whole boundary,…