List of Publications of Yonatan Gutman

  1. Krzysztof Barański, Yonatan Gutman and Adam Śpiewak, Predicting dynamical systems with too few time-delay measurements: error estimates. Submitted. 2024. arXiv
  2. Felipe García-Ramos and Yonatan Gutman, Local mean dimension theory for sofic group actions . To appear in Groups, Geometry, and Dynamics. 2024. arXiv
  3. Yonatan Gutman, Michael Levin and Tom Meyerovitch, Equivariant embedding of finite-dimensional dynamical systems. To appear in Mathematische Annalen. 2024. arXiv, Journal
  4. Krzysztof Barański, Yonatan Gutman and Adam Śpiewak, Regularity of almost-surely injective projections in Euclidean spaces. To appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2024. arXiv, Journal
  5. Krzysztof Barański, Yonatan Gutman and Adam Śpiewak, Prediction of dynamical systems from time-delayed measurements with self-intersections. Journal de Mathématiques Pures et Appliquées 186 (2024), 103–149. arXiv, Journal
  6. Yonatan Gutman and Ruxi Shi, Strongly isomorphic symbolic extensions for expansive topological flows. International Mathematics Research Notices 2024 (2024), Issue 3, 2382–2419. arXiv, Journal
  7. Yonatan Gutman and Bingbing Liang, On the structure theory of cubespace fibrations. Journal of Dynamics and Differential Equations 35 (2023), 163–197. arXiv, Journal
  8. Yonatan Gutman and Zhengxing Lian, Strictly ergodic distal models and a new approach to the Host-Kra factors. Journal of Functional Analysis 284 (2023), no. 4, 109779. arXiv, Journal
  9. Krzysztof Barański, Yonatan Gutman and Adam Śpiewak, On the Shroer-Sauer-Ott-Yorke Predictability Conjecture for Time-Delay Embeddings. Communications in Mathematical Physics 391 (2022), no. 2, 609–641. arXiv, Journal
  10. Yonatan Gutman and Zhengxing Lian, Maximal pronilfactors and a topological Wiener-Wintner theorem. Israel Journal of Mathematics 251 (2022), 495–526. arXiv, Journal
  11. Yonatan Gutman and Adam Śpiewak, Around the variational principle for metric mean dimension. Studia Mathematica 261 (2021), 345–360. arXiv, Journal
  12. Yonatan Gutman, Todor Tsankov and Andy Zucker, Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable. Mathematische Annalen 379 (2021), 1605–1622. arXiv, Journal
  13. Yonatan Gutman and Adam Śpiewak, Metric mean dimension and analog compression. IEEE Transactions on Information Theory 66 (2020), no. 11, 6977–6998. arXiv, Journal
  14. Krzysztof Barański, Yonatan Gutman and Adam Śpiewak, A probabilistic Takens theorem. Nonlinearity 33 (2020), 4940–4966. arXiv, Journal
  15. Yonatan Gutman and Lei Jin, Mean dimension and an embedding theorem for real flows. Fundamenta Mathematicae 251 (2020), 161–181. arXiv, Journal
  16. Yonatan Gutman and Masaki Tsukamoto, Embedding minimal dynamical systems into Hilbert cubes. Inventiones Mathematicae 221 (2020) 113–166. arXiv, Journal
  17. Yonatan Gutman, Freddie Manners and Péter Varjú, The structure theory of Nilspaces III: Inverse limit representations and topological dynamics. Advances in Mathematics 365 (2020), 107059. arXiv, Journal
  18. Yonatan Gutman, Freddie Manners and Péter Varjú, The structure theory of Nilspaces I. Journal d'Analyse Mathématique 140 (2020), 299–369. arXiv, Journal
  19. Yonatan Gutman and Adam Śpiewak, New uniform bounds for almost lossless analog compression. 2019 IEEE International Symposium on Information Theory (ISIT), Paris, France, 2019, pp. 1702-1706. arXiv, Proceedings
  20. Yonatan Gutman, Yixiao Qiao and Masaki Tsukamoto, Application of signal analysis to the embedding problem of $\mathbb{Z}^k$-actions. Geometric and Functional Analysis 29 (2019) 1440–1502. arXiv, Journal
  21. Yonatan Gutman, Freddie Manners and Péter Varjú, The structure theory of Nilspaces II: Representation as nilmanifolds. Transactions of the American Mathematical Society 371 (2019), 4951–4992. arXiv, Journal, Report
  22. Yonatan Gutman, Lei Jin and Masaki Tsukamoto, A Lipschitz refinement of the Bebutov-Kakutani dynamical embedding theorem. Journal of Dynamics and Differential Equations 31 (2019), 81–91. arXiv, Journal
  23. Yonatan Gutman and Lei Jin, An explicit compact universal space for real flows. Journal of Differential Equations 266(6) (2019), 3438–3449. arXiv, Journal
  24. Eli Glasner, Yonatan Gutman and XiangDong Ye, Higher order regionally proximal equivalence relations for general minimal group actions. Advances in Mathematics 333 (2018), 1004–1041. arXiv, Journal
  25. Yonatan Gutman, Yixiao Qiao and Gábor Szabó, The embedding problem in topological dynamics and Takens' theorem. Nonlinearity 31 (2018) 597–620. arXiv, Journal
  26. Yonatan Gutman, Wen Huang, Song Shao and XiangDong Ye, Almost sure convergence of the multiple ergodic average for certain weakly mixing systems. Acta Mathematica Sinica, English Series 34 (2018), 79–90. arXiv, Journal
  27. Yonatan Gutman, Embedding topological dynamical systems with periodic points in cubical shifts. Ergodic Theory and Dynamical Systems 37 (2017), 512–538. PDF, Journal, Corrigendum
  28. Yonatan Gutman, Elon Lindenstrauss and Masaki Tsukamoto, Mean dimension of $\mathbb{Z}^k$-actions. Geometric and Functional Analysis 26 (2016), no. 3, 778–817. arXiv, Journal
  29. Yonatan Gutman, Takens embedding theorem with a continuous observable. In Ergodic Theory: Advances in Dynamical Systems, pp. 134–142. Walter de Gruyter GmbH & Co KG, 2016. arXiv, Book
  30. Yonatan Gutman, Mean dimension & Jaworski-type theorems. Proceedings of the London Mathematical Society 111 (2015), no. 4, 831–850. arXiv, Journal
  31. Yonatan Gutman and Lionel Nguyen Van Thé, On relative extreme amenability. Scientiae Mathematicae Japonicae 28 (2015), 133–141. arXiv, Journal
  32. Yonatan Gutman and Masaki Tsukamoto, Mean dimension and a sharp embedding theorem: extensions of aperiodic subshifts. Ergodic Theory and Dynamical Systems 34 (2014), 1888–1896. arXiv, Journal
  33. Tomasz Downarowicz, Yonatan Gutman and Dawid Huczek, Rank as a function of measure. Discrete and Continuous Dynamical Systems 34 (2014), no. 7, 2741–2750. arXiv, Journal
  34. Lewis Bowen and Yonatan Gutman, A Juzvinskiĭ addition theorem for finitely generated free group actions. Discrete and Continuous Dynamical Systems 34 (2014), no. 1, 95–109. arXiv, Journal
  35. Lewis Bowen and Yonatan Gutman, Corrigendum to L. Bowen. Nonabelian free group actions: Markov processes, the Abramov-Rohlin formula and Yuzvinskii's formula. Ergodic Theory and Dynamical Systems 30 (2010), no. 6, 1629–1663. Ergodic Theory and Dynamical Systems 33 (2013), 643–645. arXiv, Journal
  36. Eli Glasner and Yonatan Gutman, Minimal hyperspace actions of homeomorphism groups of h-homogeneous spaces. Journal d'Analyse Mathématique 119 (2013) , 305–332. arXiv Journal
  37. Yonatan Gutman and Hanfeng Li, A new short proof for the uniqueness of the universal minimal space. Proceedings of the American Mathematical Society 141 (2013), 265–267. arXiv, Journal
  38. Eli Glasner and Yonatan Gutman, The universal minimal space for groups of homeomorphisms of h-homogeneous spaces. In Dynamical Systems and Group Actions, Contemporary Mathematics 567 (2012), 105–117. Amer. Math. Soc., Providence, RI. arXiv, Book
  39. Yonatan Gutman, Embedding $\mathbb{Z}^k$-actions in cubical shifts and $\mathbb{Z}^k$-symbolic extensions. Ergodic Theory and Dynamical Systems 31 (2011), 383–403. PDF, Journal
  40. Yonatan Gutman and Michael Hochman,On processes which cannot be distinguished by finite observation. Israel Journal of Mathematics 164 (2008), 265–284. PDF, Journal
  41. Yonatan Gutman, Minimal actions of homeomorphism groups. Fundamenta Mathematicae 198 (2008), no. 3. 191–215. PDF, Journal