Timeline for Does a random walk on a surface visit uniformly?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 5, 2021 at 23:26 | comment | added | Joseph O'Rourke | @AndreaMarino: "1.2. Proof Techniques. The main component of our proof is a coupling argument, where we couple the initial velocity by parallel transport (Section 5). We then use comparison theorems from differential geometry [1, 7, 33] to show that our assumptions of positive curvature bounds imply that the distance between the two chains contracts over each step in the Markov chain (Section 6). This contraction estimate immediately implies a bound on the Wasserstein mixing time and other relevant quantities [29] (Section 7)." | |
| Jun 5, 2021 at 21:17 | comment | added | Andrea Marino | Is the idea of the proof summarizable? | |
| Jun 5, 2021 at 20:51 | comment | added | Joseph O'Rourke | Thanks! Interesting that there is not local non-uniform density as a function of curvature. | |
| Jun 5, 2021 at 20:47 | vote | accept | Joseph O'Rourke | ||
| Jun 5, 2021 at 20:47 | |||||
| Jun 5, 2021 at 19:29 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
added 7 characters in body
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| Jun 5, 2021 at 19:22 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |