A solution to the Monge transport problem for Brownian martingales
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Publication:2039418
DOI10.1214/20-AOP1462zbMath1475.49056arXiv1903.00527MaRDI QIDQ2039418
Young-Heon Kim, Aaron Zeff Palmer, Nassif Ghoussoub
Publication date: 2 July 2021
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.00527
Related Items (5)
PDE methods for optimal Skorokhod embeddings ⋮ Shadows and barriers ⋮ Backward and forward Wasserstein projections in stochastic order ⋮ Optimal stopping of stochastic transport minimizing submartingale costs ⋮ Shadow martingales -- a stochastic mass transport approach to the peacock problem
Cites Work
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- On a problem of optimal transport under marginal martingale constraints
- An explicit martingale version of the one-dimensional Brenier theorem
- Model-independent bounds for option prices -- a mass transport approach
- Martingale optimal transport and robust hedging in continuous time
- Robust price bounds for the forward starting straddle
- Model-independent hedging strategies for variance swaps
- Optimal mass transportation and Mather theory
- On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation
- The Skorokhod embedding problem and its offspring
- Potentials of stopped distributions
- Abstract cyclical monotonicity and Monge solutions for the general Monge-Kantorovich problem
- Uniqueness of solutions to the Cauchy problem for \(u_ t-u\Delta u+\gamma|\nabla u|^ 2=0\)
- The geometry of optimal transportation
- Complete duality for martingale optimal transport on the line
- Structure of optimal martingale transport plans in general dimensions
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Optimal transport and Skorokhod embedding
- Regularity of potential functions of the optimal transportation problem
- Dual attainment for the martingale transport problem
- PDE methods for optimal Skorokhod embeddings
- The stopping distributions of a Markov process
- Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs
- On the Monotonicity Principle of Optimal Skorokhod Embedding Problem
- The Skorokhod Embedding Problem and Model-Independent Bounds for Option Prices
- Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
- Polar factorization and monotone rearrangement of vector‐valued functions
- User’s guide to viscosity solutions of second order partial differential equations
- Differential equations methods for the Monge-Kantorovich mass transfer problem
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- An Introduction to Variational Inequalities and Their Applications
- Model-Free Hedging
- Optimal Transport with Controlled Dynamics and Free End Times
- The Existence of Probability Measures with Given Marginals
- The Existence of Certain Stopping Times on Brownian Motion
- On a Theorem of Skorohod
- On the Monge mass transfer problem
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