Question

How to uncouple and reduce/solve a system of 2nd order PDEs

score 118 · Answer 1 · 2026-02-22 19:52:43

118

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How to uncouple and reduce/solve a system of 2nd order PDEs

Published on 22 Feb 2026 - 19:52

score 89 · Answer 2 · 2026-02-22 21:53:26

89

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Showing that the balls respect to Wasserstein metric with equal radius in $\mathcal{P}_{p}(\Xi)$ and $\mathcal{P}(\Xi)$ respectively are equal.

Published on 22 Feb 2026 - 21:53

score 708 · Answer 3 · 2026-02-22 21:46:31

708

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Trying to Understand Coupling Arguments Through a Simple Markov Chain Example

Published on 22 Feb 2026 - 21:46

score 2.3k · Answer 4 · 2026-02-22 21:47:18

2.3k

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Proof for total variation distance for product measure using coupling

Published on 22 Feb 2026 - 21:47

score 110 · Answer 5 · 2026-02-22 21:43:42

110

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Coupling two random variables

Published on 22 Feb 2026 - 21:43

score 310 · Answer 6 · 2026-02-22 21:44:58

310

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Coupling via push-forward from a source space

Published on 22 Feb 2026 - 21:44

score 155 · Answer 7 · 2026-02-22 21:49:54

155

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Realize a coupling in the target space via a measure on the source space

Published on 22 Feb 2026 - 21:49

score 1.7k · Answer 8 · 2026-02-22 21:43:46

1.7k

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How does Markov Chain coupling work?

Published on 22 Feb 2026 - 21:43

score 86 · Answer 9 · 2026-02-22 21:43:46

86

Views

Give a coupling under which a random variable dominates another random variable

Published on 22 Feb 2026 - 21:43

score 269 · Answer 10 · 2026-02-22 21:52:32

269

Views

Successful couplings and total variation convergence to equilibrium for time-homogeneous Markov processes

Published on 22 Feb 2026 - 21:52

score 103 · Answer 11 · 2026-02-22 21:51:09

103

Views

Diagonalization and numerical simulation of a 2x2 System of PDEs

Published on 22 Feb 2026 - 21:51

score 116 · Answer 12 · 2026-02-22 23:29:51

116

Views

Find a modified coupling $((X_n,\tilde Y_n))_{n∈ℕ_0}$ with the same coupling time $τ$ and $\tilde Y_n=X_n$ for $n≥τ$ in the coupling lemma

Published on 22 Feb 2026 - 23:29

score 79 · Answer 13 · 2026-02-22 23:25:30

79

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Question about Coupling of Measures

Published on 22 Feb 2026 - 23:25

score 63 · Answer 14 · 2026-02-22 23:24:38

63

Views

Example/Reference needed for Laplace equation coupled with another equation

Published on 22 Feb 2026 - 23:24

score 318 · Answer 15 · 2026-02-22 23:24:37

318

Views

Simple random walk on $\mathbb Z$; Coupling Argument

Published on 22 Feb 2026 - 23:24

List Question

How to uncouple and reduce/solve a system of 2nd order PDEs

Showing that the balls respect to Wasserstein metric with equal radius in $\mathcal{P}_{p}(\Xi)$ and $\mathcal{P}(\Xi)$ respectively are equal.

Trying to Understand Coupling Arguments Through a Simple Markov Chain Example

Proof for total variation distance for product measure using coupling

Coupling two random variables

Coupling via push-forward from a source space

Realize a coupling in the target space via a measure on the source space

How does Markov Chain coupling work?

Give a coupling under which a random variable dominates another random variable

Successful couplings and total variation convergence to equilibrium for time-homogeneous Markov processes

Diagonalization and numerical simulation of a 2x2 System of PDEs

Find a modified coupling $((X_n,\tilde Y_n))_{n∈ℕ_0}$ with the same coupling time $τ$ and $\tilde Y_n=X_n$ for $n≥τ$ in the coupling lemma

Question about Coupling of Measures

Example/Reference needed for Laplace equation coupled with another equation

Simple random walk on $\mathbb Z$; Coupling Argument

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