110 citations · 301 across the 19 of their papers we have counts for
22 papers
Scalar halos and conical matching for finite-width vortices at a wormhole throat
Vedant Subhash
We study the static matter constraint associated with a conical deficit that varies along a string near a wormhole throat. A positive scalar-dependent factor multiplying the comple…
Upper tail large deviations of the directed landscape
Sayan Das, Duncan Dauvergne, Bálint Virág
Starting from one-point tail bounds, we establish an upper tail large deviation principle for the directed landscape at the metric level. Metrics of finite rate are in one-to-one c…
The directed landscape from Brownian motion
Duncan Dauvergne, Bálint Virág
We construct an almost sure bijection that recovers the directed landscape on the half-plane from a sequence of independent Brownian motions. This map is the natural scaling limit…
The 27 geodesic networks in the directed landscape
Duncan Dauvergne
The directed landscape is a random directed metric on the plane that arises as the scaling limit of classical metric models in the KPZ universality class. Typical pairs of points i…
Wiener densities for the Airy line ensemble
Duncan Dauvergne
The parabolic Airy line ensemble is a central limit object in the KPZ universality class and related areas. On any compact set …
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 we study the spread of an infection with SIR dynamics. Susceptible particles become infected when…
Non-uniqueness times for the maximizer of the KPZ fixed point
Duncan Dauvergne
Let be the KPZ fixed point started from any initial condition that guarantees has a maximum at every time almost surely. For any fixed , almo…
RSK in last passage percolation: a unified approach
Duncan Dauvergne, Mihai Nica, Bálint Virág
We present a version of the RSK correspondence based on the Pitman transform and geometric considerations. This version unifies ordinary RSK, dual RSK and continuous RSK. We show t…
Last passage isometries for the directed landscape
Duncan Dauvergne
Consider the restriction of the directed landscape to a set of the form . We show that…
Spread of infections in a heterogeneous moving population
Duncan Dauvergne, Allan Sly
We consider a model where an infection moves through a collection of particles performing independent random walks. In this model, Kesten and Sidoravicius established linear growth…
The scaling limit of the longest increasing subsequence
Duncan Dauvergne, Bálint Virág
We provide a framework for proving convergence to the directed landscape, the central object in the Kardar-Parisi-Zhang universality class. For last passage models, we show that co…
Disjoint optimizers and the directed landscape
Duncan Dauvergne, Lingfu Zhang
We study maximal length collections of disjoint paths, or 'disjoint optimizers', in the directed landscape. We show that disjoint optimizers always exist, and that their lengths ca…
Three-halves variation of geodesics in the directed landscape
Duncan Dauvergne, Sourav Sarkar, Bálint Virág
We show that geodesics in the directed landscape have -variation and that weight functions along the geodesics have cubic variation. We show that the geodesic and its landscap…
Hidden invariance of last passage percolation and directed polymers
Duncan Dauvergne
Last passage percolation and directed polymer models on are invariant under translation and certain reflections. When these models have an integrable structure coming…
Uniform convergence to the Airy line ensemble
Duncan Dauvergne, Mihai Nica, Bálint Virág
We show that classical integrable models of last passage percolation and the related nonintersecting random walks converge uniformly on compact sets to the Airy line ensemble. Our…
A necessary and sufficient condition for convergence of the zeros of random polynomials
Duncan Dauvergne
Consider random polynomials of the form , where the are i.i.d.\ non-degenerate complex random variables, and is a sequence of orthonorma…
Bulk properties of the Airy line ensemble
Duncan Dauvergne, Bálint Virág
The Airy line ensemble is a central object in random matrix theory and last passage percolation defined by a determinantal formula. The goal of this paper is to provide a set of to…
The directed landscape
Duncan Dauvergne, Janosch Ortmann, Balint Virag
The conjectured limit of last passage percolation is a scale-invariant, independent, stationary increment process with respect to metric composition. We prove this for Brownian las…
The Archimedean limit of random sorting networks
Duncan Dauvergne
A sorting network (also known as a reduced decomposition of the reverse permutation), is a shortest path from to in the Cayley graph of the symmetric gr…
Circular support in random sorting networks
Duncan Dauvergne, Bálint Virág
A sorting network is a shortest path from to in the Cayley graph of the symmetric group generated by adjacent transpositions. For a uniform random sort…
Asymptotic zero distribution of random orthogonal polynomials
Thomas Bloom, Duncan Dauvergne
We consider random polynomials of the form where the are i.i.d non-degenerate complex random variables, and the are orthonorma…
The Local Limit of Random Sorting Networks
Omer Angel, Duncan Dauvergne, Alexander E. Holroyd +1
A sorting network is a geodesic path from to in the Cayley graph of generated by adjacent transpositions. For a uniformly random sorting network,…