activity
20122025
most citedA trajectorial interpretation of Doob's martingale inequalities

52 citations · 53 across the 4 of their papers we have counts for

collaborators

5 papers

math.PR2025

Stretched Brownian Motion: convergence of dual optimising sequences

Walter Schachermayer, Pietro Siorpaes

We consider an irreducible pair of probability measures on in convex order. In arXiv:2306.11019, Backhoff, Beiglböck, Schachermayer and Tschiderer have s…

math.PR2024

The Gradient Flow of the Bass Functional in Martingale Optimal Transport

Julio Backhoff-Veraguas, Gudmund Pammer, Walter Schachermayer

Given and , probability measures on in convex order, a Bass martingale is arguably the most natural martingale starting with law and finishing with law …

math.PR2024

The decomposition of stretched Brownian motion into Bass martingales

Walter Schachermayer, Bertram Tschiderer

In previous work J. Backhoff-Veraguas, M. Beiglböck and the present authors showed that the notions of stretched Brownian motion and Bass martingale between two probability measure…

math.PR2023★ 1 cited

The Bass functional of martingale transport

Julio Backhoff-Veraguas, Walter Schachermayer, Bertram Tschiderer

An interesting question in the field of martingale optimal transport, is to determine the martingale with prescribed initial and terminal marginals which is most correlated to Brow…

math.PR2012★ 52 cited

A trajectorial interpretation of Doob's martingale inequalities

B. Acciaio, M. Beiglböck, F. Penkner +2

We present a unified approach to Doob's maximal inequalities for . The novelty of our method is that these martingale inequalities are obtained as consequence…