• Corpus ID: 245650804

Quantitative control of Wasserstein distance between Brownian motion and the Goldstein--Kac telegraph process

  title={Quantitative control of Wasserstein distance between Brownian motion and the Goldstein--Kac telegraph process},
  author={Gerardo Barrera and Jani Lukkarinen},
In this manuscript, we provide a non-asymptotic process level control between the telegraph process and the Brownian motion with suitable diffusivity constant via a Wasserstein distance with quadratic average cost. In addition, we derive non-asymptotic estimates for the corresponding time average p-th moments. The proof relies on coupling techniques such as coinflip coupling, synchronous coupling and the Komlós–Major–Tusnády coupling. 


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