Dimension-free local convergence and perturbations for reflected Brownian motions

DOI10.1214/22-aap1818zbMath1523.60132arXiv2009.12937OpenAlexW3089103927MaRDI QIDQ6103972

Brendan Brown, Sayan Banerjee

Publication date: 5 June 2023

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12937

zbMATH Keywords

diffusion processescouplingWasserstein distancereflected Brownian motionweighted distanceAtlas modelderivative processdimension-free convergence

Mathematics Subject Classification ID

Brownian motion (60J65) Ergodicity, mixing, rates of mixing (37A25) Diffusion processes (60J60) Processes in random environments (60K37) Local time and additive functionals (60J55)

Cites Work

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• Propagation of chaos for rank-based interacting diffusions and long time behaviour of a scalar quasilinear parabolic equation
• Hybrid Atlas models
• Equilibrium fluctuation of the Atlas model
• Propagation of chaos and Poincaré inequalities for a system of particles interacting through their CDF
• Reflected Brownian motion on an orthant
• Infinite systems of competing Brownian particles
• Comparison techniques for competing Brownian particles
• Multidimensional reflected Brownian motions having exponential stationary distributions
• On positive recurrence of constrained diffusion processes
• Large deviations for random walk in random environment with holding times.
• Convergence rates for rank-based models with applications to portfolio theory
• Strong solutions of stochastic equations with rank-based coefficients
• Rates of convergence to equilibrium for potlatch and smoothing processes
• Domains of attraction of invariant distributions of the infinite atlas model
• The infinite Atlas process: convergence to equilibrium
• Stationary gap distributions for infinite systems of competing Brownian particles
• Long time asymptotics for constrained diffusions in polyhedral domains
• One-dimensional Brownian particle systems with rank-dependent drifts
• Reflected Brownian motion in a convex polyhedral cone: tail estimates for the stationary distribution
• Triple and simultaneous collisions of competing Brownian particles
• A note on transportation cost inequalities for diffusions with reflections
• Parameter and dimension dependence of convergence rates to stationarity for reflecting Brownian motions
• Asymptotic Irrelevance of Initial Conditions for Skorohod Reflection Mapping on the Nonnegative Orthant
• Directional Derivatives of Oblique Reflection Maps
• Open Queueing Networks in Heavy Traffic
• Brownian models of open queueing networks with homogeneous customer populations^∗
• Two-Sided Infinite Systems of Competing Brownian Particles
• Ergodicity and steady state analysis for interference queueing networks
• Efficient Steady-State Simulation of High-Dimensional Stochastic Networks
• Rates of Convergence to Stationarity for Reflected Brownian Motion
• Brownian Particles with Rank‐Dependent Drifts: Out‐of‐Equilibrium Behavior
• Systems of Brownian particles with asymmetric collisions

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