Martino Bardi

5.3k total citations · 1 hit paper
60 papers, 3.0k citations indexed

About

Martino Bardi is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Finance. According to data from OpenAlex, Martino Bardi has authored 60 papers receiving a total of 3.0k indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Computational Theory and Mathematics, 28 papers in Applied Mathematics and 19 papers in Finance. Recurrent topics in Martino Bardi's work include Nonlinear Partial Differential Equations (22 papers), Advanced Mathematical Modeling in Engineering (21 papers) and Stochastic processes and financial applications (19 papers). Martino Bardi is often cited by papers focused on Nonlinear Partial Differential Equations (22 papers), Advanced Mathematical Modeling in Engineering (21 papers) and Stochastic processes and financial applications (19 papers). Martino Bardi collaborates with scholars based in Italy, France and Germany. Martino Bardi's co-authors include Italo Capuzzo-Dolcetta, Olivier Alvarez, Francesca Da Lio, L. C. Evans, Maurizio Falcone, Pierpaolo Soravia, Annalisa Cesaroni, Stanley Osher, H. Meté Soner and Michael G. Crandall and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Martino Bardi

57 papers receiving 2.6k citations

Hit Papers

Optimal Control and Viscosity Solutions of Hamilton-Jacob... 1997 2026 2006 2016 1997 500 1000 1.5k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations
    1997 1.7k citations Martino Bardi, Italo Capuzzo-Dolcetta Birkhäuser Boston eBooks profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Martino Bardi Italy 21 1.2k 929 724 568 419 60 3.0k
Italo Capuzzo-Dolcetta Italy 8 975 0.8× 743 0.8× 584 0.8× 508 0.9× 349 0.8× 11 2.5k
L. C. Evans United States 25 1.2k 1.0× 1.4k 1.5× 460 0.6× 222 0.4× 378 0.9× 34 2.9k
John S. Maybee United States 17 1.5k 1.2× 1.4k 1.5× 601 0.8× 320 0.6× 552 1.3× 67 3.3k
Tusheng Zhang United Kingdom 26 743 0.6× 798 0.9× 617 0.9× 2.2k 3.8× 143 0.3× 128 3.1k
Pierre Cardaliaguet France 26 549 0.4× 592 0.6× 288 0.4× 742 1.3× 126 0.3× 104 2.0k
Piermarco Cannarsa Italy 32 2.2k 1.8× 1.3k 1.4× 1.9k 2.6× 297 0.5× 297 0.7× 163 3.6k
B. L. Rozovskiĭ United States 24 715 0.6× 563 0.6× 683 0.9× 1.4k 2.5× 104 0.2× 71 3.0k
Guy Barles France 39 2.1k 1.7× 2.5k 2.7× 678 0.9× 1.9k 3.3× 570 1.4× 112 5.5k
Chenggui Yuan United Kingdom 28 796 0.6× 1.3k 1.4× 1.7k 2.4× 1.6k 2.8× 332 0.8× 140 4.8k
В. И. Богачев Russia 28 1.1k 0.9× 1.7k 1.8× 408 0.6× 1.1k 2.0× 185 0.4× 226 3.9k

Countries citing papers authored by Martino Bardi

Since Specialization
Citations

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

Fields of papers citing papers by Martino Bardi

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Martino Bardi

This figure shows the co-authorship network connecting the top 25 collaborators of Martino Bardi. A scholar is included among the top collaborators of Martino Bardi 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 Martino Bardi. Martino Bardi 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.
Bardi, Martino, et al.. (2024). Long-Time Behavior of Deterministic Mean Field Games with Nonmonotone Interactions. SIAM Journal on Mathematical Analysis. 56(4). 5079–5098. 2 indexed citations
2.
Bardi, Martino, et al.. (2024). Deep Relaxation of Controlled Stochastic Gradient Descent via Singular Perturbations. SIAM Journal on Control and Optimization. 62(4). 2229–2253. 1 indexed citations
3.
Bardi, Martino, et al.. (2023). An Eikonal Equation with Vanishing Lagrangian Arising in Global Optimization. Applied Mathematics & Optimization. 87(3). 3 indexed citations
4.
Bardi, Martino & Pierre Cardaliaguet. (2020). Convergence of some Mean Field Games systems to aggregation and flocking\n models. arXiv (Cornell University). 13 indexed citations
5.
Bardi, Martino, et al.. (2019). New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs. Florence Research (University of Florence). 10 indexed citations
6.
Bardi, Martino, Annalisa Cesaroni, & Luca Rossi. (2016). Nonexistence of nonconstant solutions of some degenerate Bellman equations and applications to stochastic control. Springer Link (Chiba Institute of Technology). 3 indexed citations
7.
Bardi, Martino, et al.. (2013). Comparison principles and Dirichlet problem for fully nonlinear degenerate equationsof Monge–Ampère type. Forum Mathematicum. 25(6). 1291–1330. 8 indexed citations
8.
Bardi, Martino. (2012). Explicit solutions of some linear-quadratic mean field games. Networks and Heterogeneous Media. 7(2). 243–261. 94 indexed citations
9.
Bardi, Martino, et al.. (2011). Convexity and semiconvexity along vector fields. Calculus of Variations and Partial Differential Equations. 42(3-4). 405–427. 8 indexed citations
10.
Bardi, Martino & Annalisa Cesaroni. (2011). Optimal Control with Random Parameters: A Multiscale Approach. European Journal of Control. 17(1). 30–45. 9 indexed citations
11.
Alvarez, Olivier, et al.. (2007). Multiscale problems and homogenization for second-order Hamilton–Jacobi equations. Journal of Differential Equations. 243(2). 349–387. 24 indexed citations
12.
Bardi, Martino & Francesca Da Lio. (2003). Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. II: Concave operators. Indiana University Mathematics Journal. 52(3). 607–628. 13 indexed citations
13.
Bardi, Martino & Annalisa Cesaroni. (2002). Viscosity Lyapunov functions for almost sure stability of degenerate diffusions. 322–331. 2 indexed citations
14.
Bardi, Martino & Italo Capuzzo-Dolcetta. (1997). Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. Birkhäuser Boston eBooks. 1667 indexed citations breakdown →
15.
Bardi, Martino & Pierpaolo Soravia. (1991). Hamilton-Jacobi Equations With Singular Boundary Conditions on a free Boundary and Applications to Differential Games. Transactions of the American Mathematical Society. 325(1). 205–205. 7 indexed citations
16.
Badiale, Marino & Martino Bardi. (1990). Symmetry properties of solutions of Hamilton-Jacobi equations without uniqueness. Nonlinear Analysis. 15(11). 1031–1043. 3 indexed citations
17.
Bardi, Martino. (1989). A Boundary Value Problem for the Minimum-Time Function. SIAM Journal on Control and Optimization. 27(4). 776–785. 60 indexed citations
18.
Bardi, Martino. (1987). An asymptotic formula for the Green's function of an elliptic operator. French digital mathematics library (Numdam). 14(4). 569–586. 8 indexed citations
19.
Bardi, Martino. (1985). A nonautonomous nonlinear functional differential equation arising in the theory of population dynamics. Journal of Mathematical Analysis and Applications. 109(2). 492–508. 1 indexed citations
20.
Bardi, Martino. (1983). An equation of growth of a single species with realistic dependence on crowding and seasonal factors. Journal of Mathematical Biology. 17(1). 33–43. 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.

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