Manuel Mañas

1.6k total citations
96 papers, 974 citations indexed

About

Manuel Mañas is a scholar working on Statistical and Nonlinear Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Manuel Mañas has authored 96 papers receiving a total of 974 indexed citations (citations by other indexed papers that have themselves been cited), including 69 papers in Statistical and Nonlinear Physics, 37 papers in Applied Mathematics and 32 papers in Geometry and Topology. Recurrent topics in Manuel Mañas's work include Nonlinear Waves and Solitons (62 papers), Mathematical functions and polynomials (36 papers) and Matrix Theory and Algorithms (28 papers). Manuel Mañas is often cited by papers focused on Nonlinear Waves and Solitons (62 papers), Mathematical functions and polynomials (36 papers) and Matrix Theory and Algorithms (28 papers). Manuel Mañas collaborates with scholars based in Spain, Portugal and Italy. Manuel Mañas's co-authors include Luis Martı́nez Alonso, Carlos Álvarez-Fernández, Елена Медина, P. Santini, U. Fidalgo Prieto, Amílcar Branquinho, Adam Doliwa, Q.P. Liu, Francisco Marcellán and A. B. Shabat and has published in prestigious journals such as Physics Letters B, Communications in Mathematical Physics and Physics Letters A.

In The Last Decade

Manuel Mañas

89 papers receiving 918 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Manuel Mañas Spain 17 765 331 314 238 160 96 974
A. V. Kitaev Russia 18 769 1.0× 474 1.4× 394 1.3× 149 0.6× 116 0.7× 58 1.2k
Alexander Its United States 17 682 0.9× 397 1.2× 500 1.6× 144 0.6× 228 1.4× 48 1.6k
M. Bruschi Italy 16 825 1.1× 277 0.8× 113 0.4× 95 0.4× 190 1.2× 70 961
Nalini Joshi Australia 19 1.1k 1.4× 600 1.8× 106 0.3× 85 0.4× 124 0.8× 94 1.2k
Marco Bertola Canada 19 566 0.7× 261 0.8× 224 0.7× 104 0.4× 171 1.1× 68 945
Galliano Valent France 17 368 0.5× 169 0.5× 390 1.2× 118 0.5× 266 1.7× 72 938
S. P. Tsarëv Russia 12 569 0.7× 303 0.9× 128 0.4× 122 0.5× 44 0.3× 41 743
Shun Shimomura Japan 11 441 0.6× 391 1.2× 212 0.7× 71 0.3× 42 0.3× 51 674
René F. Swarttouw Netherlands 8 293 0.4× 140 0.4× 631 2.0× 153 0.6× 245 1.5× 10 996
V. Papageorgiou United States 19 1.1k 1.4× 717 2.2× 90 0.3× 68 0.3× 80 0.5× 32 1.2k

Countries citing papers authored by Manuel Mañas

Since Specialization
Citations

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

Fields of papers citing papers by Manuel Mañas

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Manuel Mañas

This figure shows the co-authorship network connecting the top 25 collaborators of Manuel Mañas. A scholar is included among the top collaborators of Manuel Mañas 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 Manuel Mañas. Manuel Mañas 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.
Branquinho, Amílcar, et al.. (2025). Finite Markov chains and multiple orthogonal polynomials. Journal of Computational and Applied Mathematics. 463. 116485–116485. 3 indexed citations
2.
Branquinho, Amílcar, et al.. (2025). Uniform multiple orthogonal polynomials and Markov chains. Numerical Algorithms. 1 indexed citations
3.
4.
Branquinho, Amílcar, et al.. (2025). Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation. Studies in Applied Mathematics. 154(3). 3 indexed citations
5.
Branquinho, Amílcar, et al.. (2024). Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials. Linear Algebra and its Applications. 721. 5–25. 3 indexed citations
6.
Branquinho, Amílcar, et al.. (2023). Oscillatory banded Hessenberg matrices, multiple orthogonal polynomials and Markov chains. Physica Scripta. 98(10). 105223–105223. 10 indexed citations
7.
Branquinho, Amílcar, et al.. (2023). Jacobi–Piñeiro Markov chains. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 118(1). 6 indexed citations
8.
Mañas, Manuel, et al.. (2022). Multivariate Orthogonal Laurent Polynomials and Integrable Systems. Publications of the Research Institute for Mathematical Sciences. 58(1). 79–185. 4 indexed citations
9.
Branquinho, Amílcar, et al.. (2022). Multiple orthogonal polynomials: Pearson equations and Christoffel formulas. Analysis and Mathematical Physics. 12(6). 15 indexed citations
10.
Branquinho, Amílcar, et al.. (2022). Riemann–Hilbert Problem for the Matrix Laguerre Biorthogonal Polynomials: The Matrix Discrete Painlevé IV. Mathematics. 10(8). 1205–1205. 1 indexed citations
11.
Branquinho, Amílcar, et al.. (2021). Matrix biorthogonal polynomials: Eigenvalue problems and non-Abelian discrete Painleve equations A Riemann-Hilbert problem perspective. Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT). 7 indexed citations
12.
Mañas, Manuel, et al.. (2019). Matrix biorthogonal polynomials on the real line: Geronimus transformations. e-Archivo (Carlos III University of Madrid). 7 indexed citations
13.
Álvarez-Fernández, Carlos & Manuel Mañas. (2014). On the Christoffel–Darboux formula for generalized matrix orthogonal polynomials. Journal of Mathematical Analysis and Applications. 418(1). 238–247. 8 indexed citations
14.
Mañas, Manuel, et al.. (2014). A Jacobi type Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type. Linear Algebra and its Applications. 468. 154–170. 8 indexed citations
15.
Mañas, Manuel, et al.. (2012). Riemann–Hilbert problems, matrix orthogonal polynomials \nand discrete matrix equations with singularity confinement. Library Open Repository (Universidad Complutense Madrid). 15 indexed citations
16.
Mañas, Manuel, Luis Martı́nez Alonso, & Carlos Álvarez-Fernández. (2009). The multicomponent 2D Toda hierarchy: discrete flows and string equations. Library Open Repository (Universidad Complutense Madrid). 21 indexed citations
17.
Mañas, Manuel. (2004). S-functions, reductions and hodograph solutions of the \nr-th dispersionless modified KP and Dym hierarchies. Library Open Repository (Universidad Complutense Madrid). 18 indexed citations
18.
Mañas, Manuel. (2004). On the r-th dispersionless Toda hierarchy I: Factorization problem, symmetries and some solutions. Library Open Repository (Universidad Complutense Madrid). 12 indexed citations
19.
Mañas, Manuel & Luis Martı́nez Alonso. (1998). From Ramond fermions to Lamé equations for orthogonal curvilinear coordinates. Library Open Repository (Universidad Complutense Madrid). 5 indexed citations
20.
Mañas, Manuel, et al.. (1997). Darboux transformation for the Manin-Radul supersymmetric \nKdV equation. Library Open Repository (Universidad Complutense Madrid). 16 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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