Doeblin Curves
Recent research on Doeblin coefficients has shed light on their usefulness as a multi-way generalization of the Dobrushin contraction coefficient for TV distance, in a separate vein from their classic role in the theory of Markov chain ergodicity. However, strong conditions, such as being bounded away from 0, are typically necessary for Doeblin coefficients to establish the existence of information contraction. Building on recently formulated concepts of nonlinear information contraction, we aim to propose a finer-grained Doeblin-based characterization of multi-way contraction behavior which yields non-vacuous contraction guarantees even for channels whose Doeblin coefficient is 0. To thi...
| Authors | Dongmin Lee, William Lu, Anuran Makur et al. |
|---|---|
| Primary category | cs.IT |
| Published | 18 June 2026 |
| Last updated at source | 18 June 2026 |
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