PDE methods for optimal Skorokhod embeddings

N Ghoussoub, YH Kim, AZ Palmer - Calculus of Variations and Partial …, 2019 - Springer
We consider cost minimizing stop** time solutions to Skorokhod embedding problems,
which deal with transporting a source probability measure to a given target measure through …

A Benamou–Brenier formulation of martingale optimal transport

M Huesmann, D Trevisan - 2019 - projecteuclid.org
Abstract We introduce a Benamou–Brenier formulation for the continuous-time martingale
optimal transport problem as a weak length relaxation of its discrete-time counterpart. By the …

Fine properties of the optimal Skorokhod embedding problem

M Beiglböck, M Nutz, F Stebegg - Journal of the European Mathematical …, 2021 - ems.press
We study the problem of stop** a Brownian motion at a given distribution while optimizing
a reward function that depends on the (possibly randomized) stop** time and the …

The geometry of multi-marginal Skorokhod embedding

M Beiglböck, AMG Cox, M Huesmann - Probability Theory and Related …, 2020 - Springer
Abstract The Skorokhod Embedding Problem is one of the classical problems in the theory
of stochastic processes, with applications in many different fields [cf. the surveys (Hobson in …

Non-decreasing martingale couplings

B Jourdain, K Shao - ESAIM: Probability and Statistics, 2025 - esaim-ps.org
For many examples of couples (μ, ν) of probability measures on the real line in the convex
order, we observe numerically that the Hobson and Neuberger martingale coupling, which …

Martingale optimal transport in the discrete case via simple linear programming techniques

N Bäuerle, D Schmithals - Mathematical Methods of Operations Research, 2019 - Springer
We consider the problem of finding consistent upper price bounds and super replication
strategies for exotic options, given the observation of call prices in the market. This field of …

Fine properties of the optimal Skorokhod embedding problem

MBMNF Stebegg - 2021 - ems.press
We study the problem of stop** a Brownian motion at a given distribution while optimizing
a reward function that depends on the (possibly randomized) stop** time and the …

[PDF][PDF] STOCHASTIC MASS TRANSFER

J BACKHOFF-VERAGUAS, M HUESMANN - mat.univie.ac.at
The theory of optimal transport (OT) has seen a tremendous development in the last 25
years with fascinating applications ranging from geometric and functional inequalities over …

[PDF][PDF] The geometry of multi-marginal Skorokhod Embedding

MB OCK, AMG COX, M HUESMANN - 2017 - people.bath.ac.uk
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 [48, 34]) …