Paolo Tilli

2.1k total citations
55 papers, 1.2k citations indexed

About

Paolo Tilli is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Paolo Tilli has authored 55 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Applied Mathematics, 28 papers in Computational Theory and Mathematics and 24 papers in Mathematical Physics. Recurrent topics in Paolo Tilli's work include Nonlinear Partial Differential Equations (13 papers), Matrix Theory and Algorithms (13 papers) and Advanced Mathematical Modeling in Engineering (10 papers). Paolo Tilli is often cited by papers focused on Nonlinear Partial Differential Equations (13 papers), Matrix Theory and Algorithms (13 papers) and Advanced Mathematical Modeling in Engineering (10 papers). Paolo Tilli collaborates with scholars based in Italy, United States and Switzerland. Paolo Tilli's co-authors include Luigi Ambrosio, Enrico Serra, Riccardo Adami, Stefano Serra‐Capizzano, Fabio Fagnani, Claudio Canuto, Dario Fasino, Sunra Mosconi, Fabio Nicola and Filippo Santambrogio and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Paolo Tilli

52 papers receiving 995 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Paolo Tilli Italy 19 616 523 369 158 137 55 1.2k
Sergei M. Grudsky Mexico 15 510 0.8× 424 0.8× 354 1.0× 112 0.7× 117 0.9× 75 941
Karl Gustafson United States 20 427 0.7× 482 0.9× 440 1.2× 177 1.1× 72 0.5× 119 1.3k
Daniel Alpay Israel 22 1.8k 2.9× 584 1.1× 776 2.1× 215 1.4× 205 1.5× 270 2.4k
Damir Z. Arov Ukraine 17 543 0.9× 416 0.8× 511 1.4× 326 2.1× 89 0.6× 72 1.3k
Ricardo Estrada United States 16 419 0.7× 162 0.3× 376 1.0× 130 0.8× 72 0.5× 93 960
M. H. Annaby Egypt 18 897 1.5× 182 0.3× 448 1.2× 111 0.7× 145 1.1× 79 1.3k
T. Andô Japan 21 1.0k 1.7× 974 1.9× 349 0.9× 145 0.9× 309 2.3× 44 1.8k
Tamás Erdélyi United States 17 1.1k 1.8× 313 0.6× 286 0.8× 97 0.6× 453 3.3× 116 1.6k
Hugo J. Woerdeman United States 16 333 0.5× 463 0.9× 146 0.4× 75 0.5× 67 0.5× 89 800
László Kérchy Hungary 8 1.2k 1.9× 414 0.8× 1.0k 2.8× 158 1.0× 162 1.2× 25 1.7k

Countries citing papers authored by Paolo Tilli

Since Specialization
Citations

This map shows the geographic impact of Paolo Tilli'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 Paolo Tilli with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Paolo Tilli more than expected).

Fields of papers citing papers by Paolo Tilli

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Paolo Tilli. 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 Paolo Tilli. The network helps show where Paolo Tilli may publish in the future.

Co-authorship network of co-authors of Paolo Tilli

This figure shows the co-authorship network connecting the top 25 collaborators of Paolo Tilli. A scholar is included among the top collaborators of Paolo Tilli 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 Paolo Tilli. Paolo Tilli is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Frank, Rupert L., Fabio Nicola, & Paolo Tilli. (2025). The generalized Wehrl entropy bound in quantitative form. Journal of the European Mathematical Society.
2.
Nicola, Fabio, et al.. (2025). A monotonicity theorem for subharmonic functions on manifolds. Advances in Mathematics. 479. 110423–110423.
3.
Tilli, Paolo, et al.. (2024). Stability of the Faber-Krahn inequality for the short-time Fourier transform. Inventiones mathematicae. 236(2). 779–836. 2 indexed citations
4.
Nicola, Fabio & Paolo Tilli. (2023). The norm of time-frequency and wavelet localization operators. Transactions of the American Mathematical Society. 376(10). 7353–7375. 3 indexed citations
5.
Tilli, Paolo, et al.. (2023). A Faber–Krahn inequality for Wavelet transforms. Bulletin of the London Mathematical Society. 55(4). 2018–2034. 7 indexed citations
6.
Nicola, Fabio & Paolo Tilli. (2022). The Faber–Krahn inequality for the short-time Fourier transform. Inventiones mathematicae. 230(1). 1–30. 22 indexed citations
7.
Barbero, G., L. R. Evangelista, & Paolo Tilli. (2021). The low-frequency limiting behavior of ambipolar diffusive models of impedance spectroscopy. Journal of Statistical Mechanics Theory and Experiment. 2021(12). 123206–123206. 2 indexed citations
8.
Serra, Enrico, et al.. (2020). Uniqueness and non–uniqueness of prescribed mass NLS ground states on metric graphs. IRIS Research product catalog (Sapienza University of Rome). 16 indexed citations
9.
Barbero, G., et al.. (2020). Ambipolar diffusion in the low frequency impedance response of electrolytic cells. Journal of Statistical Mechanics Theory and Experiment. 2020(4). 43202–43202. 4 indexed citations
10.
Bonheure, Denis, Enrico Serra, & Paolo Tilli. (2013). Radial positive solutions of elliptic systems with Neumann boundary conditions. Journal of Functional Analysis. 265(3). 375–398. 17 indexed citations
11.
Tilli, Paolo. (2012). Compliance estimates for two-dimensionalproblems with Dirichlet region of prescribed length. Networks and Heterogeneous Media. 7(1). 127–136. 5 indexed citations
12.
Tilli, Paolo. (2010). Some explicit examples of minimizers for the irrigation problem. PORTO Publications Open Repository TOrino (Politecnico di Torino). 10 indexed citations
13.
Mosconi, Sunra & Paolo Tilli. (2005). Gamma-convergence for the irrigation problem. PORTO Publications Open Repository TOrino (Politecnico di Torino). 16 indexed citations
14.
Leonardi, Gian Paolo & Paolo Tilli. (2005). On a constrained variational problem in the vector-valued case. Journal de Mathématiques Pures et Appliquées. 85(2). 251–268. 2 indexed citations
15.
Tilli, Paolo. (2003). Universal bounds on the convergence rate of extreme Toeplitz eigenvalues. Linear Algebra and its Applications. 366. 403–416. 5 indexed citations
16.
Lellis, Camillo De & Paolo Tilli. (2001). On the spectral distribution of certain sequences of band matrices. Nova Science Publishers, Inc. eBooks. 11–20. 1 indexed citations
17.
Tilli, Paolo, et al.. (2001). On some variational problems in the theory of unitarily invariant norms and Hadamard products. Linear Algebra and its Applications. 326(1-3). 161–172. 1 indexed citations
18.
Fasino, Dario & Paolo Tilli. (2000). Spectral clustering properties of block multilevel Hankel matrices. Linear Algebra and its Applications. 306(1-3). 155–163. 27 indexed citations
19.
Serra‐Capizzano, Stefano & Paolo Tilli. (1999). Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices. Journal of Computational and Applied Mathematics. 108(1-2). 113–130. 37 indexed citations
20.
Tilli, Paolo. (1998). Locally Toeplitz sequences: spectral properties and applications. Linear Algebra and its Applications. 278(1-3). 91–120. 95 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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2026