Franklin Mendivil

775 total citations
58 papers, 404 citations indexed

About

Franklin Mendivil is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Franklin Mendivil has authored 58 papers receiving a total of 404 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mathematical Physics, 10 papers in Computational Theory and Mathematics and 10 papers in Applied Mathematics. Recurrent topics in Franklin Mendivil's work include Mathematical Dynamics and Fractals (32 papers), Complex Systems and Time Series Analysis (7 papers) and Metaheuristic Optimization Algorithms Research (6 papers). Franklin Mendivil is often cited by papers focused on Mathematical Dynamics and Fractals (32 papers), Complex Systems and Time Series Analysis (7 papers) and Metaheuristic Optimization Algorithms Research (6 papers). Franklin Mendivil collaborates with scholars based in Canada, Italy and United Arab Emirates. Franklin Mendivil's co-authors include Davide La Torre, Edward R. Vrscay, Ronald W. Shonkwiler, Herb Kunze, Bruno Forte, Simone Marsiglio, Fabio Privileggi, Jacques Lévy Véhel, Carlos Cabrelli and M. C. Spruill and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of the Operational Research Society and Journal of Mathematical Analysis and Applications.

In The Last Decade

Franklin Mendivil

51 papers receiving 395 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Franklin Mendivil Canada 11 187 84 78 70 48 58 404
Pierre-André Zitt France 10 136 0.7× 68 0.8× 27 0.3× 7 0.1× 28 0.6× 23 401
Balram S. Rajput United States 11 187 1.0× 28 0.3× 31 0.4× 122 1.7× 18 0.4× 37 559
Marco Dozzi France 12 121 0.6× 22 0.3× 53 0.7× 75 1.1× 12 0.3× 36 394
Marjorie G. Hahn United States 15 167 0.9× 76 0.9× 17 0.2× 64 0.9× 14 0.3× 44 610
Robert Cogburn United States 11 195 1.0× 33 0.4× 33 0.4× 20 0.3× 9 0.2× 21 374
Arie Leizarowitz Israel 12 40 0.2× 42 0.5× 253 3.2× 157 2.2× 43 0.9× 34 627
Jürgen Potthoff Germany 10 180 1.0× 39 0.5× 62 0.8× 39 0.6× 14 0.3× 31 459
Leonid Koralov United States 8 122 0.7× 61 0.7× 54 0.7× 8 0.1× 11 0.2× 32 352
Anouar Ben Mabrouk Tunisia 11 92 0.5× 59 0.7× 14 0.2× 192 2.7× 5 0.1× 71 401
Jacek Wesołowski Poland 16 253 1.4× 23 0.3× 27 0.3× 18 0.3× 29 0.6× 112 787

Countries citing papers authored by Franklin Mendivil

Since Specialization
Citations

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

Fields of papers citing papers by Franklin Mendivil

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Franklin Mendivil

This figure shows the co-authorship network connecting the top 25 collaborators of Franklin Mendivil. A scholar is included among the top collaborators of Franklin Mendivil 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 Franklin Mendivil. Franklin Mendivil 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.
Torre, Davide La, Simone Marsiglio, Franklin Mendivil, & Fabio Privileggi. (2025). Stochastic optimal growth under state-dependent probabilities. Decisions in Economics and Finance. 48(2). 1719–1753.
2.
Shonkwiler, Ronald W. & Franklin Mendivil. (2024). Explorations in Monte Carlo Methods. Undergraduate texts in mathematics. 2 indexed citations
3.
Hare, Kathryn E. & Franklin Mendivil. (2023). Assouad-like dimensions of a class of random Moran measures. II. Non-homogeneous Moran sets. 10(3). 351–388. 1 indexed citations
4.
Torre, Davide La, Simone Marsiglio, Franklin Mendivil, & Fabio Privileggi. (2023). Stochastic disease spreading and containment policies under state-dependent probabilities. Economic Theory. 77(1-2). 127–168. 6 indexed citations
5.
Torre, Davide La, Franklin Mendivil, & Matteo Rocca. (2021). Modeling portfolio efficiency using stochastic optimization with incomplete information and partial uncertainty. Annals of Operations Research. 334(1-3). 241–263. 4 indexed citations
6.
Torre, Davide La, Simone Marsiglio, Franklin Mendivil, & Fabio Privileggi. (2019). A stochastic economic growth model with health capital and state-dependent probabilities. Chaos Solitons & Fractals. 129. 81–93. 8 indexed citations
7.
Kunze, Herb, Davide La Torre, Franklin Mendivil, & Edward R. Vrscay. (2018). SELF-SIMILARITY OF SOLUTIONS TO INTEGRAL AND DIFFERENTIAL EQUATIONS WITH RESPECT TO A FRACTAL MEASURE. Fractals. 27(2). 1950014–1950014. 3 indexed citations
8.
Jiang, Wenzhao, et al.. (2018). An algorithm to construct conformable tubular networks that occupy arbitrary regions in R3. Applied Mathematical Modelling. 62. 194–206.
9.
Torre, Davide La, Simone Marsiglio, Franklin Mendivil, & Fabio Privileggi. (2017). Fractal attractors and singular invariant measures in two-sector growth models with random factor shares. Communications in Nonlinear Science and Numerical Simulation. 58. 185–201. 4 indexed citations
10.
Torre, Davide La & Franklin Mendivil. (2016). Portfolio optimization under partial uncertainty and incomplete information: a probability multimeasure-based approach. Annals of Operations Research. 267(1-2). 267–279. 11 indexed citations
11.
Day, David P. & Franklin Mendivil. (2015). Fractal measures with uniform marginals. Journal of Mathematical Analysis and Applications. 429(2). 1096–1112. 3 indexed citations
12.
Kunze, Herb, Davide La Torre, Franklin Mendivil, & Edward R. Vrscay. (2014). Continuous evolution of equations and inclusions involving set-valued contraction mappings with applications to generalized fractal transforms. SHILAP Revista de lepidopterología. 6 indexed citations
13.
Kunze, Herb, Davide La Torre, Franklin Mendivil, & Edward R. Vrscay. (2012). Generalized fractal transforms and self-similar objects in cone metric spaces. Computers & Mathematics with Applications. 64(6). 1761–1769. 17 indexed citations
14.
Shonkwiler, Ronald W. & Franklin Mendivil. (2009). Explorations in Monte Carlo Methods. Undergraduate texts in mathematics. 42 indexed citations
15.
Torre, Davide La & Franklin Mendivil. (2007). Iterated function systems on multifunctions and inverse problems. Journal of Mathematical Analysis and Applications. 340(2). 1469–1479. 19 indexed citations
16.
Mendivil, Franklin, Ronald W. Shonkwiler, & M. C. Spruill. (2005). Analysis of Random Restart and Iterated Improvement for Global Optimization with Application to the Traveling Salesman Problem. Journal of Optimization Theory and Applications. 124(2). 407–433. 1 indexed citations
17.
Mendivil, Franklin, et al.. (2003). Chaos games for wavelet analysis and wavelet synthesis. Computers & Mathematics with Applications. 46(5-6). 863–873. 1 indexed citations
18.
Mendivil, Franklin & Edward R. Vrscay. (2002). Fractal-based techniques in image compression. 2. 486–489. 1 indexed citations
19.
Forte, Bruno & Franklin Mendivil. (1998). A classical ergodic property for IFS: a simple proof. Ergodic Theory and Dynamical Systems. 18(3). 609–611. 12 indexed citations
20.
Mendivil, Franklin, et al.. (1991). Genetic Algorithms for the 1-D Fractal Inverse Problem.. 495–501. 13 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Pierre-André Zitt Breakdown of academic impact, for papers by Balram S. Rajput Breakdown of academic impact, for papers by Marco Dozzi Breakdown of academic impact, for papers by Marjorie G. Hahn Breakdown of academic impact, for papers by Robert Cogburn Breakdown of academic impact, for papers by Arie Leizarowitz Breakdown of academic impact, for papers by Jürgen Potthoff Breakdown of academic impact, for papers by Leonid Koralov Breakdown of academic impact, for papers by Anouar Ben Mabrouk Breakdown of academic impact, for papers by Jacek Wesołowski
Rankless by CCL
2026