Duncan Dauvergne

activity

20182022

most citedNon-uniqueness times for the maximizer of the KPZ fixed point

3 citations · 3 across the 2 of their papers we have counts for

collaborators

4 papers

math.PR2022

The SIR model in a moving population: propagation of infection and herd immunity

Duncan Dauvergne, Allan Sly

In a collection of particles performing independent random walks on $Z^{d}$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when…

math.PR2022★ 3 cited

Non-uniqueness times for the maximizer of the KPZ fixed point

Duncan Dauvergne

Let $h_{t}$ be the KPZ fixed point started from any initial condition that guarantees $h_{t}$ has a maximum at every time $t$ almost surely. For any fixed $t$ , almo…

math.PR2021

Last passage isometries for the directed landscape

Duncan Dauvergne

Consider the restriction of the directed landscape $L (x, s; y, t)$ to a set of the form ${x_{1}, \dots, x_{k}} \times {s_{0}} \times R \times {t_{0}}$ . We show that…

math.PR2018

Circular support in random sorting networks

Duncan Dauvergne, Bálint Virág

A sorting network is a shortest path from $12 \dots n$ to $n \dots 21$ in the Cayley graph of the symmetric group generated by adjacent transpositions. For a uniform random sort…