Open Access
Convergence Of Probability Measures
About:
The article was published on 2016-01-01 and is currently open access. It has received 420 citations till now. The article focuses on the topics: Convergence of random variables & Total variation distance of probability measures.read more
Citations
More filters
Journal ArticleDOI
Dynamic Matching for Real-Time Ride Sharing
Erhun Özkan,Amy R. Ward +1 more
TL;DR: In a ride-sharing system, arriving customers must be matched with available drivers, and decisions affect the overall number of customers matched, because they impact whether future available drivers are matched.
Journal ArticleDOI
Nonparametric predictive distributions based on conformal prediction
TL;DR: This paper introduces and explores predictive distribution functions that always satisfy a natural property of validity in terms of guaranteed coverage for IID observations, and applies conformal prediction to derive predictive distributions that are valid under a nonparametric assumption.
Journal ArticleDOI
Martingale–coboundary decomposition for families of dynamical systems
TL;DR: In this paper, the authors prove statistical limit laws for sequences of Birkhoff sums of the type ∑ j = 0 n − 1 v n ∘ T n j where T n is a family of nonuniformly hyperbolic transformations.
Journal ArticleDOI
The Edwards–Wilkinson Limit of the Random Heat Equation in Dimensions Three and Higher
Yu Gu,Lenya Ryzhik,Ofer Zeitouni +2 more
TL;DR: In this article, the Edwards-Wilkinson model was used to describe large scale random fluctuations in the heat equation with additive white noise, and the renormalized solution converges to the solution of a deterministic diffusion equation with an effective diffusivity.
Journal ArticleDOI
Long-time behaviour and phase transitions for the McKean--Vlasov equation on the torus
TL;DR: In this paper, the McKean-Vlasov equation with periodic boundary conditions on the torus was studied, and the existence of nontrivial solutions branching from the homogeneous steady state through possibly infinitely many bifurcations was shown.
References
More filters
Journal ArticleDOI
Dynamic Matching for Real-Time Ride Sharing
Erhun Özkan,Amy R. Ward +1 more
TL;DR: In a ride-sharing system, arriving customers must be matched with available drivers, and decisions affect the overall number of customers matched, because they impact whether future available drivers are matched.
Journal ArticleDOI
The Gromov-Wasserstein distance between networks and stable network invariants
Samir Chowdhury,Facundo Mémoli +1 more
TL;DR: In this article, the Gromov-Wasserstein distance on weighted, directed networks is defined, and a network invariant based on optimal transport is proposed to approximate this distance by means of lower bounds.
Journal ArticleDOI
Long-Time Behaviour and Phase Transitions for the Mckean–Vlasov Equation on the Torus
TL;DR: In this article, the McKean-Vlasov equation with periodic boundary conditions on the torus was studied, and the existence of nontrivial solutions branching from the homogeneous steady state, through possibly infinitely many bifurcations, under appropriate assumptions on the interaction potential was shown.
Journal ArticleDOI
Nonparametric predictive distributions based on conformal prediction
TL;DR: This paper introduces and explores predictive distribution functions that always satisfy a natural property of validity in terms of guaranteed coverage for IID observations, and applies conformal prediction to derive predictive distributions that are valid under a nonparametric assumption.
Posted Content
Steady-state analysis of the Join the Shortest Queue model in the Halfin-Whitt regime
TL;DR: It is proved that the diffusion limit is exponentially ergodic, and the diffusion scaled sequence of the steady-state number of idle servers and non-empty buffers is tight, which means that the process-level convergence proved in Eschenfeldt & Gamarnik (2015) implies convergence of steady- state distributions.