4 papers · 1 filter
Surviving from the tip of a cone in competing first-passage percolation
Daniel Ahlberg, Maria Deijfen, Matteo Sfragara
In two-type first passage percolation on , two entities compete to capture the sites of the lattice. The entities spread between nearest neighbor sites at times speci…
Gaussian fluctuations in mean field stable matchings
Daniel Ahlberg, Maria Deijfen, Tiffany Y. Y. Lo
Two sets of objects of size are to be matched to each other based on i.i.d. costs associated to every pair of objects. Objects prefer to be matched as cheaply as possible, and…
Chaos, concentration and multiple valleys in first-passage percolation
Daniel Ahlberg, Maria Deijfen, Matteo Sfragara
A decade and a half ago Chatterjee established the first rigorous connection between anomalous fluctuations and a chaotic behaviour of the ground state in certain Gaussian disorder…
Mean field stable matchings
Daniel Ahlberg, Maria Deijfen, Matteo Sfragara
Consider the complete bipartite graph on vertices where the edges are equipped with i.i.d. exponential costs. A matching of the vertices is stable if it does not contain any…