Jeffrey S. Geronimo

4.3k total citations · 1 hit paper
84 papers, 2.4k citations indexed

About

Jeffrey S. Geronimo is a scholar working on Applied Mathematics, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Jeffrey S. Geronimo has authored 84 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Applied Mathematics, 34 papers in Mathematical Physics and 23 papers in Statistical and Nonlinear Physics. Recurrent topics in Jeffrey S. Geronimo's work include Mathematical functions and polynomials (35 papers), Mathematical Dynamics and Fractals (25 papers) and Matrix Theory and Algorithms (19 papers). Jeffrey S. Geronimo is often cited by papers focused on Mathematical functions and polynomials (35 papers), Mathematical Dynamics and Fractals (25 papers) and Matrix Theory and Algorithms (19 papers). Jeffrey S. Geronimo collaborates with scholars based in United States, Belgium and Spain. Jeffrey S. Geronimo's co-authors include Douglas P. Hardin, Peter Massopust, Walter Van Assche, George C. Donovan, Michael F. Barnsley, K. M. Case, Bruce W. Suter, X.-G. Xia, Hugo J. Woerdeman and A. N. Harrington and has published in prestigious journals such as IEEE Transactions on Signal Processing, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Jeffrey S. Geronimo

79 papers receiving 2.1k citations

Hit Papers

Fractal Functions and Wavelet Expansions Based on Several... 1994 2026 2004 2015 1994 100 200 300 400
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. Fractal Functions and Wavelet Expansions Based on Several Scaling Functions
    1994 410 citations Jeffrey S. Geronimo, Douglas P. Hardin et al. Journal of Approximation Theory profile →

Peers

Jeffrey S. Geronimo
Stéphane Jaffard France
Adhemar Bultheel Belgium
Raymond O. Wells United States
John J. Benedetto United States
Palle E. T. Jørgensen United States
Edward R. Vrscay Canada
H. J. Landau United States
Albert Cohen France
J. D. Ward United States
Yuan Xu United States
Stéphane Jaffard France
Jeffrey S. Geronimo
Citations per year, relative to Jeffrey S. Geronimo Jeffrey S. Geronimo (= 1×) peers Stéphane Jaffard

Countries citing papers authored by Jeffrey S. Geronimo

Since Specialization
Citations

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

Fields of papers citing papers by Jeffrey S. Geronimo

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Jeffrey S. Geronimo. 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 Jeffrey S. Geronimo. The network helps show where Jeffrey S. Geronimo may publish in the future.

Co-authorship network of co-authors of Jeffrey S. Geronimo

This figure shows the co-authorship network connecting the top 25 collaborators of Jeffrey S. Geronimo. A scholar is included among the top collaborators of Jeffrey S. Geronimo 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 Jeffrey S. Geronimo. Jeffrey S. Geronimo 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.
2.
Geronimo, Jeffrey S., et al.. (2023). The autoregressive filter problem for multivariable degree one symmetric polynomials. Acta Scientiarum Mathematicarum. 89(3-4). 509–532. 1 indexed citations
3.
Geronimo, Jeffrey S., et al.. (2016). Polynomials with no zeros on a face of the bidisk. Journal of Functional Analysis. 270(9). 3505–3558. 2 indexed citations
4.
Bedford, Tim, et al.. (2014). A topological separation condition for fractal attractors. 1(3). 243–271.
5.
Aptekarev, Alexander Ivanovich, Jeffrey S. Geronimo, & Walter Van Assche. (2007). Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. Journal of Approximation Theory. 150(2). 214–238. 3 indexed citations
6.
Geronimo, Jeffrey S. & Andrei Martı́nez-Finkelshtein. (2005). On extensions of a theorem of Baxter. Journal of Approximation Theory. 139(1-2). 214–222. 1 indexed citations
7.
Geronimo, Jeffrey S. & Ming‐Jun Lai. (2005). Factorization of multivariate positive Laurent polynomials. Journal of Approximation Theory. 139(1-2). 327–345. 29 indexed citations
8.
Geronimo, Jeffrey S. & Theodore P. Hill. (2003). Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform. Journal of Approximation Theory. 121(1). 54–60. 34 indexed citations
9.
Woerdeman, Hugo J., et al.. (2003). A numerical algorithm for stable 2D autoregressive filter design. Signal Processing. 83(6). 1299–1308. 7 indexed citations
10.
Geronimo, Jeffrey S. & Alexander Teplyaev. (1994). A Difference Equation Arising from the Trigonometric Moment Problem Having Random Reflection Coefficients - An Operator Theoretic Approach. Journal of Functional Analysis. 123(1). 12–45. 19 indexed citations
11.
Geronimo, Jeffrey S. & Douglas P. Hardin. (1993). Fractal Interpolation Surfaces and a Related 2-D Multiresolution Analysis. Journal of Mathematical Analysis and Applications. 176(2). 561–586. 71 indexed citations
12.
Geronimo, Jeffrey S., et al.. (1993). Strong Asymptotics for Orthogonal Polynomials with Regularly and Slowly Varying Recurrence Coefficients. Journal of Approximation Theory. 72(2). 141–158. 8 indexed citations
13.
Geronimo, Jeffrey S. & Walter Van Assche. (1991). Approximating the weight function for orthogonal polynomials on several intervals. Journal of Approximation Theory. 65(3). 341–371. 25 indexed citations
14.
Geronimo, Jeffrey S. & Walter Van Assche. (1988). Orthogonal polynomials on several intervals via a polynomial mapping. Transactions of the American Mathematical Society. 308(2). 559–581. 67 indexed citations
15.
Barnsley, Michael F., Stephen Demko, John H. Elton, & Jeffrey S. Geronimo. (1988). Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. French digital mathematics library (Numdam). 24(3). 367–394. 116 indexed citations
16.
Geronimo, Jeffrey S.. (1988). On the spectra of infinite-dimensional Jacobi matrices. Journal of Approximation Theory. 53(3). 251–265. 15 indexed citations
17.
Geronimo, Jeffrey S. & Walter Van Assche. (1986). Orthogonal polynomials with asymptotically periodic recurrence coefficients. Journal of Approximation Theory. 46(3). 251–283. 77 indexed citations
18.
Geronimo, Jeffrey S.. (1980). A relation between the coefficients in the recurrence formula and the spectral function for orthogonal polynomials. Transactions of the American Mathematical Society. 260(1). 65–82. 16 indexed citations
19.
Geronimo, Jeffrey S. & K. M. Case. (1980). Scattering theory and polynomials orthogonal on the real line. Transactions of the American Mathematical Society. 258(2). 467–494. 80 indexed citations
20.
Geronimo, Jeffrey S.. (1978). Scattering theory and orthogonal polynomials. SMARTech Repository (Georgia Institute of Technology). 3 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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