activity
20082017
most citedMonotone Martingale Transport Plans and Skorohod Embedding

9 citations · 20 across the 7 of their papers we have counts for

collaborators

7 papers

math.PR2017★ 1 cited

The geometry of multi-marginal Skorokhod Embedding

Mathias Beiglboeck, Alexander Cox, Martin Huesmann

The Skorokhod Embedding Problem (SEP) is one of the classical problems in the study of stochastic processes, with applications in many different fields (cf.~ the surveys \cite{Ob04…

math.PR2017★ 6 cited

Dual attainment for the martingale transport problem

Mathias Beiglboeck, Tongseok Lim, Jan Obłój

We investigate existence of dual optimizers in one-dimensional martingale optimal transport problems. While [BNT16] established such existence for weak (quasi-sure) duality, [BHP13…

math.PR2017★ 9 cited

Monotone Martingale Transport Plans and Skorohod Embedding

Mathias Beiglboeck, Pierre Henry-Labordere, Nizar Touzi

We show that the left-monotone martingale coupling is optimal for any given performance function satisfying the martingale version of the Spence-Mirrlees condition, without assumin…

math.PR2012★ 1 cited

A Simple Proof of the Bichteler-Dellacherie Theorem

Mathias Beiglboeck, Pietro Siorpaes

We give a simple and rather elementary proof of the celebrated Bichteler-Dellacherie-Mokobodzki Theorem, which states that a process S is a good integrator if and only if it is a s…

math.CA2010★ 3 cited

On the Duality Theory for the Monge-Kantorovich Transport Problem

Mathias Beiglböck, Christian Léonard, Walter Schachermayer

The paper is accompanying "A general Duality Theorem for the Monge-Kantorovich Transport Problem". We explain the methods used in this article in an elementary setting and present…

math.DS2009

Sumset Phenomenon in Countable Amenable Groups

Mathias Beiglboeck, Vitaly Bergelson, Alexander Fish

Jin proved that whenever and are sets of positive upper density in , is piecewise syndetic. Jin's theorem was subsequently generalized by Jin and Keisler to a cer…