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Rendiconti Lincei. Matematica e Applicazioni

Rendiconti Lincei. Matematica e Applicazioni 

The Rendiconti Lincei, Matematica e Applicazioni (ISSN: 1120-6330) have been published since 2006 by the European Mathematical Society ( it is a quarterly journal, which also has an online version  ( .

Managing Editor: Ciro Ciliberto

Associated Editors: Enrico Arbarello, Fabrizio Catanese, Nicola Fusco, Luigi Preziosi, Giuseppe Toscani.


The Accademia dei Lincei (Lynx), founded in 1603, is the oldest academy dedicated to the study of humanities as well as physics, mathematics and the natural sciences in the world. Through the centuries, some of the most important scientists of their time have been among their members, including Galileo Galilei, Enrico Fermi and Vito Volterra.

After its merger with the Accademia Pontificia dei Nuovi Lincei, the academy began publishing in 1847 with the Atti dell'Accademia Pontificia dei Nuovi Lincei. In 1870 this society was divided into two separate academies, one of which published its transactions as Atti della Reale Accademia dei Lincei and under the name Atti della Reale Accademia dei Lincei, Transunti as of 1876. Continued in 1884 as Atti della Reale Accademia dei Lincei, Rendiconti and under the present name in 1990, the Rendiconti Lincei have been one of the best Italian journals ever since. Papers by the most outstanding Italian mathematicians such as Betti, Bianchi, Caccioppoli, Castelnuovo, Enriques, Levi-Civita, Picone, Tonelli, Volterra and, more recently, Andreotti, Fichera, De Giorgi, Segre, Severi and Stampacchia have been published.

The journal is dedicated to the publication of high-quality, peer-reviewed expository texts on important mathematical topics, high-quality research articles, and early announcements of important results from all fields of mathematics and its applications.

Editorial Board 

Sergio Albeverio (Universität Bonn)
Luigi Ambrosio (Scuola Normale Superiore di Pisa)
Enrico Arbarello (Università di Roma La Sapienza)
Zdeněk P. Bažant (Northwestern University)
Enrico Bombieri (Institute for Advanced Study)
Haïm Brezis (Rutgers University)
Franco Brezzi (Consiglio Nazionale delle Ricerche)
Annalisa Buffa (École polytechnique fédérale de Lausanne)
Luis A. Caffarelli (University of Texas at Austin)
Fabrizio Catanese (Universität Bayreuth)
Maurizio Cornalba (Università di Pavia)
Constantine M. Dafermos (Brown University)
Gianni Dal Maso (SISSA)
Giuseppe Da Prato (Scuola Normale Superiore di Pisa)
Corrado De Concini (Università di Roma La Sapienza)
Pierre R. Deligne (Institute for Advanced Study)
Simon Donaldson (Stony Brook University and Imperial College London)
Antonio Fasano (Università di Firenze)
Nicola Fusco (Università di Napoli ''Federico II'')
Sandro Graffi (Università di Bologna)
Phillip A. Griffiths (Institute for Advanced Study)C. Antony R. Hoare (Microsoft Research)
Alberto Isidori (Università di Roma La Sapienza)
Victor G. Kac (Massachusetts Institute of Technology)
Giorgio Letta (Università di Pisa)
Pierre-Louis Lions (Université Paris-Dauphine)
Carlangelo Liverani (Università di Roma Tor Vergata)
Giulio Maier (Politecnico di Milano)
Silvio Micali (Massachusetts Institute of Technology)
H. Keith Moffatt (University of Cambridge)
David B. Mumford (Brown University)
Sergei P. Novikov (Steklov Institute of Mathematics)
Kieran G. O'Grady (Università di Roma La Sapienza)
Jacob Palis (Instituto de Matemática Pura e Aplicada)
Roger Penrose (University of Oxford)
Renzo Piva (Università di Roma La Sapienza)
Paolo Podio-Guidugli (Università di Roma Tor Vergata)
Errico Presutti (Gran Sasso Science Institute)
Luigi Preziosi (Politecnico di Torino)
Mario Primicerio (Università di Firenze)
Claudio Procesi (Università di Roma La Sapienza)
Mario Pulvirenti (Università di Roma La Sapienza)
Alfio Quarteroni (École Polytechnique Fédérale de Lausanne)
Paul H. Rabinowitz (University of Wisconsin-Madison)
Fulvio Ricci (Scuola Normale Superiore di Pisa)
Andrea Rinaldo (École Polytechnique Fédérale de Lausanne)
Tommaso Ruggeri (Università di Bologna)
Carlo Sbordone (Università di Napoli ''Federico II'')
Giovanni Seminara (Università di Genova)
Sergio Spagnolo (Università di Pisa)
Katepalli Sreenivasan (New York University)
Alberto Tesei (Università di Roma La Sapienza)
John G. Thompson (University of Cambridge)
Giuseppe Toscani (Università di Pavia)
Claire Voisin (Collège de France)
Shing-Tung Yau (Harvard University)
Umberto Zannier (Scuola Normale Superiore di Pisa)

General rules for the publication

1. The Rendiconti Lincei –Matematica e Applicazioni (ISSN: 1120-6330) have been pub-lished since 2006 by the European Mathematical Society Press ( it is a quarterly journal, which also has an online version (https :// As of 2023 the journal is “open access”. The journal is dedicated to the publication of valuable expository texts on important mathematical topics, high–quality research ar-ticles, and preliminary announcements of important results, in all fields of mathematics and its applications. All articles undergo a rigorous peer review.

2. The papers accepted for publication are presented monthly during the sessions of the Class of Physical, Mathematical and Natural Sciences of the Accademia dei Lincei by the Director of the journal who gives prior notice to the President of the Class.

3. The Editorial Board of the Journal is formed by the National, Corresponding and Foreign Lincei Members of Category I (Mathematics, Mechanics and Applications). The Director, appointed by the Class of Physical, Mathematical and Natural Sciences on the proposal of the Editorial Committee, remains in office for three years, renewable. The Director coordinates the activity of the Editorial Committee, informs it of the salient news concerning the journal and calls for a meeting as often as he deems it ap-propriate and, as a rule, at least once a year. The Director is assisted by five Associated Editors, chosen within the Editorial Committee, who assist him in choosing the expert reviewers of the articles presented for publication.
The Director maintains, through the Editorial Secretary, correspondence with the Mem-bers and Authors of the works.

4. The papers for the Rendiconti can be written in one of the following languages: Italian, English, French. In special cases of particular interest to the journal, the Director, assisted by the Associated Editors, may consider the publication of articles in languages other than the previous ones. The papers must be accompanied by the indication of at least three key words in English, used in the main international directories. The Authors are invited to indicate in which of the following chapters of mathematics the topic developed in the paper falls:
Algebra, Algebraic and geometric topology, Algebraic geometry, Analysis, Applications of mathematics, Calculus of variations, Complex analysis, Cryptography and coding theory, Discrete mathematics, Differential equations, Differential geometry and Lie theory, Dynamical systems, Foundations of mathematics, Function theory, Geomet-ric theory of measure, History of mathematics, Mathematical physics, Operational re-search, Probability and stochastic processes, Numerical analysis, Number theory, Real, harmonic and functional analysis, Real and complex manifolds and analytic spaces, Theoretical computer science.

5. Authors are invited to submit their unpublished manuscripts to the Editorial Secretary by sending them to the e-mail address:

Articles submitted for publication must be sent by e-mail, in pdf format, to the above address. To facilitate review, authors may also submit some of their own unpublished work referenced in the submitted article.

The following information is required with the submission of articles:

• Name of author(s) together with email address(es);
• Full postal address(es);
• Name of the corresponding author (to whom, among other things, the galley proofs will be sent);
• Classification of mathematics subjects 2020;
• Keywords describing the subject of the article;
• Chapters of mathematics in which the topic of the paper falls.

Submitting a manuscript implies that the submitted work has not been published before and is not being considered for publication elsewhere.

The Rendiconti Lincei – Matematica e Applicazioni carry out a rigorous review process conducted by reviewers selected by the Director assisted by the Associated Editors.

6. The journal strongly encourages authors to write their papers in LaTex and to make LaTeX source files available. After the final acceptance of the article, the authors will be asked to send by e-mail to the editors (at all the source files and macros, together with the postscript or pdf files. The authors will be asked to:

• download the file from the web page;
• follow the instructions contained in the aforementioned zip file;
• submit a well-structured LaTeX article using the template and style file contained in the zip file.

The title page of the paper has to include the full name, affiliation and full postal address, together with the e-mail address, of each author and a brief summary.

For articles not written in English, a summary in English is required in addition to the abstract in the language of the article. In the summary, written in a single paragraph, mathematical formulas should be avoided and it should not contain mathematical equa-tions or tabular material.

We advice to avoid footnotes.

To avoid distortions due to scaling, the figures should not be wider than 125 mm. They must be submitted as an EPS (encapsulated PostScript) file, or as a hard copy, suitable for direct photographic reproduction. Exceptionally, in particular cases, raster graphics (or bitmap graphics) can also be provided, in any case at high resolution suitable for reproduction.

All figures, tables, etc. must be numbered, with the insertion point clearly indicated.

For bibliographic references, authors are encouraged to use BibTeX or a similar biblio-graphic tool and retrieve bibliographic entries from Mathematical Reviews or zbMATH. References must be listed at the end of the article in the form: name and family name of the authors, title of the article, title of the journal (abbreviated according to Math-ematical Reviews), volume number, year of publication in brackets and numbers page. For books, also indicate the publisher, place and year of printing. The list of references must be in alphabetical order. References not cited in the text must not appear in the list.

If the editorial staff of the Rendiconti finds that a paper presented does not follow the suggested standards, it can return the paper to the Author asking for a more adequate preparation of the same.

7. The Authors will only receive one set of galley proofs, which they will have to correct carefully and return to the e-mail address that will be indicated to them, no later than ten days after receipt. Otherwise, the proofs will be revised by the editorial staff, who assume no responsibility in this regard.

Corrections must be clearly and legibly indicated.

Should the Author make, during the proofreading phase, alterations to the original text, these will be examined by the Director and the Associated Editors for confirmation of acceptance of the work. In any case, the printing costs deriving from alterations to the original text may be charged to the Author.

8. Authors will be entitled an electronic copy of the published article for personal use. Authors may ask the pdf of their articles at the address

Starting from 2023, being the journal open access, the pdf of the articles can be down-loaded directly from the journal website.

9. The Rendiconti Lincei – Matematica e Applicazioni is a Subscribe to Open (S2O) journal (see, which means that articles can be published in open access. There are no author fees or article processing fees associated with this open access mode. Articles in open access are published under the CC-BY 4.0 license (see Authors may review the Terms of Digital Access (see for more information.

10. Web sites of the journal

(Donload General rules for the publication - pdf)


Consult the previous series

Serie V 1892-1924

Serie VIII 1976-1989

Serie IX 1990-2005