@article{ivanisvili_nazarov_2022, title={On Weissler's Conjecture on the Hamming Cube I}, volume={2022}, ISSN={["1687-0247"]}, DOI={10.1093/imrn/rnaa363}, abstractNote={Abstract}, number={9}, journal={INTERNATIONAL MATHEMATICS RESEARCH NOTICES}, author={Ivanisvili, P. and Nazarov, F.}, year={2022}, month={Apr}, pages={6991–7020} }
 @article{frank_ivanisvili_2021, title={Hypercontractivity of the semigroup of the fractional Laplacianon the n-sphere}, volume={281}, ISSN={["1096-0783"]}, DOI={10.1016/j.jfa.2021.109145}, abstractNote={For 1 < p ≤ q we show that the Poisson semigroup e − t − Δ on the n -sphere is hypercontractive from L p to L q in dimensions n ≤ 3 if and only if e − t n ≤ p − 1 q − 1 . We also show that the equivalence fails in large dimensions.}, number={8}, journal={JOURNAL OF FUNCTIONAL ANALYSIS}, author={Frank, Rupert L. and Ivanisvili, Paata}, year={2021}, month={Oct} }
 @article{ivanisvili_handel_volberg_2020, title={Rademacher type and Enflo type coincide}, volume={192}, ISSN={["1939-8980"]}, DOI={10.4007/annals.2020.192.2.8}, abstractNote={A nonlinear analogue of the Rademacher type of a Banach space was introduced in classical work of Enflo. The key feature of Enflo type is that its definition uses only the metric structure of the Banach space, while the definition of Rademacher type relies on its linear structure. We prove that Rademacher type and Enflo type coincide, settling a long-standing open problem in Banach space theory. The proof is based on a novel dimension-free analogue of Pisier's inequality on the discrete cube.}, number={2}, journal={ANNALS OF MATHEMATICS}, author={Ivanisvili, Paata and Handel, Ramon and Volberg, Alexander}, year={2020}, month={Sep}, pages={665–678} }