Stefano Luzzatto

706 total citations
24 papers, 304 citations indexed

About

Stefano Luzzatto is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Geometry and Topology. According to data from OpenAlex, Stefano Luzzatto has authored 24 papers receiving a total of 304 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Mathematical Physics, 14 papers in Statistical and Nonlinear Physics and 8 papers in Geometry and Topology. Recurrent topics in Stefano Luzzatto's work include Mathematical Dynamics and Fractals (23 papers), Quantum chaos and dynamical systems (11 papers) and Chaos control and synchronization (6 papers). Stefano Luzzatto is often cited by papers focused on Mathematical Dynamics and Fractals (23 papers), Quantum chaos and dynamical systems (11 papers) and Chaos control and synchronization (6 papers). Stefano Luzzatto collaborates with scholars based in United Kingdom, Brazil and Portugal. Stefano Luzzatto's co-authors include José F. Alves, Henk Bruin, Sebastian van Strien, Yongluo Cao, Warwick Tucker, Jorge Milhazes Freitas, Sandro Vaienti, Mark Holland, Karla Díaz-Ordaz and Paweł Pilarczyk and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Statistical Physics and Journal of Differential Equations.

In The Last Decade

Stefano Luzzatto

22 papers receiving 271 citations

Peers

Stefano Luzzatto

SNP

CNC

Paulo Varandas Brazil

José F. Alves Portugal

Ľubomír Snoha Slovakia

Ercai Chen China

Weixiao Shen China

Shaobo Gan China

Antti Käenmäki Finland

Martı́n Sambarino Uruguay

Marc Keßeböhmer Germany

Dominik Kwietniak Poland

Paulo Varandas Brazil

Stefano Luzzatto

327 ×1.1

189 ×1.0

SNP

103 ×1.7

27 ×0.8

CNC

19 ×0.6

Citations per year, relative to Stefano Luzzatto Stefano Luzzatto (= 1×) peers Paulo Varandas

Countries citing papers authored by Stefano Luzzatto

Since Specialization

Citations

This map shows the geographic impact of Stefano Luzzatto's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Stefano Luzzatto with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Stefano Luzzatto more than expected).

Fields of papers citing papers by Stefano Luzzatto

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stefano Luzzatto. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Stefano Luzzatto. The network helps show where Stefano Luzzatto may publish in the future.

Co-authorship network of co-authors of Stefano Luzzatto

This figure shows the co-authorship network connecting the top 25 collaborators of Stefano Luzzatto. A scholar is included among the top collaborators of Stefano Luzzatto based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Stefano Luzzatto. Stefano Luzzatto is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Luzzatto, Stefano, et al.. (2024). Persistent Non-statistical Dynamics in One-Dimensional Maps. Communications in Mathematical Physics. 405(4).

Luzzatto, Stefano, et al.. (2023). Doubly Intermittent Full Branch Maps with Critical Points and Singularities. Communications in Mathematical Physics. 402(2). 1845–1878. 4 indexed citations

Luzzatto, Stefano & Marcelo Viana. (2018). Positive Lyapunov exponents for Lorenz-like families with criticalities. Astérisque.

Alves, José F., et al.. (2017). SRB measures for partially hyperbolic systems whose central direction is weakly expanding. Journal of the European Mathematical Society. 19(10). 2911–2946. 14 indexed citations

Luzzatto, Stefano, et al.. (2016). Integrability of dominated decompositions on three-dimensional manifolds. Ergodic Theory and Dynamical Systems. 37(2). 606–620. 1 indexed citations

Climenhaga, Vaughn, Stefano Luzzatto, & Yakov Pesin. (2016). The Geometric Approach for Constructing Sinai–Ruelle–Bowen Measures. Journal of Statistical Physics. 166(3-4). 467–493. 8 indexed citations

Luzzatto, Stefano, et al.. (2015). Uniform Expansivity Outside a Critical Neighborhood in the Quadratic Family. Experimental Mathematics. 25(2). 116–124. 2 indexed citations

Luzzatto, Stefano, et al.. (2013). Uniform hyperbolic approximations of measures with non-zero Lyapunov exponents. Proceedings of the American Mathematical Society. 141(9). 3157–3169. 5 indexed citations

Alves, José F., et al.. (2012). Geometry of expanding absolutely continuous invariant measures and the liftability problem. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 30(1). 101–120. 5 indexed citations

10.

Alves, José F., Jorge Milhazes Freitas, Stefano Luzzatto, & Sandro Vaienti. (2011). From rates of mixing to recurrence times via large deviations. Advances in Mathematics. 228(2). 1203–1236. 34 indexed citations

11.

Araújo, Vı́tor, Stefano Luzzatto, & Marcelo Viana. (2009). Invariant measures for interval maps with critical points and singularities. Advances in Mathematics. 221(5). 1428–1444. 6 indexed citations

12.

Cao, Yongluo, et al.. (2008). Uniform hyperbolicity for random maps with positive Lyapunov exponents. Proceedings of the American Mathematical Society. 136(10). 3591–3600. 7 indexed citations

13.

Luzzatto, Stefano & Lanyu Wang. (2006). Topological invariance of generic non-uniformly expanding multimodal maps. Mathematical Research Letters. 13(3). 343–357. 5 indexed citations

14.

Díaz-Ordaz, Karla, Mark Holland, & Stefano Luzzatto. (2006). STATISTICAL PROPERTIES OF ONE-DIMENSIONAL MAPS WITH CRITICAL POINTS AND SINGULARITIES. Stochastics and Dynamics. 6(4). 423–458. 19 indexed citations

15.

Holland, Mark & Stefano Luzzatto. (2005). Stable manifolds under very weak hyperbolicity conditions. Journal of Differential Equations. 221(2). 444–469. 3 indexed citations

16.

Bruin, Henk & Stefano Luzzatto. (2005). Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps. Proceedings of the American Mathematical Society. 134(1). 265–272. 2 indexed citations

17.

Alves, José F., et al.. (2005). Markov structures and decay of correlations for non-uniformly expanding dynamical systems. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 22(6). 817–839. 55 indexed citations

18.

Cao, Yongluo, et al.. (2004). A minimum principle for Lyapunov exponents and a higher-dimensional version of a theorem of Mañé. Qualitative Theory of Dynamical Systems. 5(2). 261–273. 8 indexed citations

19.

Alves, José F., et al.. (2004). Lyapunov exponents and rates of mixing for one-dimensional maps. Ergodic Theory and Dynamical Systems. 24(3). 637–657. 18 indexed citations

20.

Bruin, Henk, Stefano Luzzatto, & Sebastian van Strien. (2003). Decay of correlations in one-dimensional dynamics. Annales Scientifiques de l École Normale Supérieure. 36(4). 621–646. 51 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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