Timeline for Graph which do not satisfy a pseudo-Poincaré inequality
Current License: CC BY-SA 4.0
9 events
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| Jan 31, 2019 at 3:17 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| Jan 24, 2019 at 16:58 | comment | added | ARG | @PiotrHajlasz I did not read anything stupid... The reference for the english survey of Pittet and Saloff-Coste is "A survey on the relationships between volume growth, isoperimetry, and the behavior of simple random walk on Cayley graphs, with examples". It is freely available if you google it. The result is section 4 of this survey. | |
| Jan 24, 2019 at 16:52 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| Jan 24, 2019 at 16:51 | comment | added | Piotr Hajlasz | @ARG Thank you for details. I was not aware of this result. I will read your proof and erase my stupid comments about counterexamples. | |
| Jan 24, 2019 at 16:08 | comment | added | ARG | @PiotrHajlasz Many thanks for the details in the $\ell^p$-$\ell^q$-case. As I mentioned, the $\ell^1$-inequality is known to hold in all Cayley graphs (not just those of polynomial growth). I added the proof in case you are curious about it. | |
| Jan 24, 2019 at 14:40 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| Jan 24, 2019 at 13:45 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| Jan 24, 2019 at 13:36 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
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| Jan 24, 2019 at 13:19 | history | answered | Piotr Hajlasz | CC BY-SA 4.0 |