Dominic Rochon

595 total citations
24 papers, 313 citations indexed

About

Dominic Rochon is a scholar working on Applied Mathematics, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Dominic Rochon has authored 24 papers receiving a total of 313 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Applied Mathematics, 13 papers in Mathematical Physics and 9 papers in Statistical and Nonlinear Physics. Recurrent topics in Dominic Rochon's work include Algebraic and Geometric Analysis (16 papers), Mathematical Dynamics and Fractals (10 papers) and Quantum Mechanics and Applications (7 papers). Dominic Rochon is often cited by papers focused on Algebraic and Geometric Analysis (16 papers), Mathematical Dynamics and Fractals (10 papers) and Quantum Mechanics and Applications (7 papers). Dominic Rochon collaborates with scholars based in Canada, India and Mexico. Dominic Rochon's co-authors include Vladislav V. Kravchenko, Sébastien Tremblay, Ravinder Kumar and Gregg Jaeger and has published in prestigious journals such as Chaos Solitons & Fractals, Nonlinear Dynamics and International Journal of Bifurcation and Chaos.

In The Last Decade

Dominic Rochon

22 papers receiving 289 citations

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Dominic Rochon 190 129 117 65 53 24 313
M. Elena Luna‐Elizarrarás 267 1.4× 85 0.7× 82 0.7× 85 1.3× 32 0.6× 39 362
Alexander Balinsky 173 0.9× 179 1.4× 34 0.3× 40 0.6× 39 0.7× 39 351
Uwe Kähler 564 3.0× 86 0.7× 35 0.3× 96 1.5× 32 0.6× 78 604
Todor Gramchev 233 1.2× 273 2.1× 91 0.8× 74 1.1× 16 0.3× 53 383
Paula Cerejeiras 295 1.6× 63 0.5× 25 0.2× 30 0.5× 17 0.3× 58 325
Leonid Golinskiĭ 273 1.4× 214 1.7× 49 0.4× 48 0.7× 42 0.8× 48 387
Liviu I. Nicolaescu 149 0.8× 258 2.0× 42 0.4× 223 3.4× 15 0.3× 32 403
Zalman Balanov 87 0.5× 68 0.5× 114 1.0× 104 1.6× 15 0.3× 39 275
Dmitry Jakobson 118 0.6× 199 1.5× 92 0.8× 135 2.1× 20 0.4× 32 315
Miguel A. Piñar 375 2.0× 46 0.4× 90 0.8× 25 0.4× 71 1.3× 54 405

Countries citing papers authored by Dominic Rochon

Since Specialization
Citations

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

Fields of papers citing papers by Dominic Rochon

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Dominic Rochon

This figure shows the co-authorship network connecting the top 25 collaborators of Dominic Rochon. A scholar is included among the top collaborators of Dominic Rochon 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 Dominic Rochon. Dominic Rochon 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.
Rochon, Dominic, et al.. (2023). ON THE ALGEBRAIC FOUNDATION OF THE MANDELBULB. Fractals. 31(5).
2.
Rochon, Dominic, et al.. (2022). Relationship between the Mandelbrot Algorithm and the Platonic Solids. Mathematics. 10(3). 482–482. 2 indexed citations
3.
Rochon, Dominic, et al.. (2019). Characterization of the Principal 3D Slices Related to the Multicomplex Mandelbrot Set. Advances in Applied Clifford Algebras. 29(3). 5 indexed citations
4.
Rochon, Dominic, et al.. (2019). Tricomplex Distance Estimation for Filled-In Julia Sets and Multibrot Sets. International Journal of Bifurcation and Chaos. 29(6). 1950085–1950085. 1 indexed citations
5.
Rochon, Dominic, et al.. (2017). TRICOMPLEX DYNAMICAL SYSTEMS GENERATED BY POLYNOMIALS OF ODD DEGREE. Fractals. 25(3). 1750026–1750026. 6 indexed citations
6.
Rochon, Dominic, et al.. (2015). The inverse iteration method for Julia sets in the 3-dimensional space. Chaos Solitons & Fractals. 75. 272–280. 2 indexed citations
7.
Kumar, Ravinder, et al.. (2013). Infinite Dimensional Bicomplex Spectral Decomposition Theorem. Advances in Applied Clifford Algebras. 23(3). 593–605. 4 indexed citations
8.
Rochon, Dominic, et al.. (2013). The bicomplex quantum Coulomb potential problem. Canadian Journal of Physics. 91(12). 1093–1100. 9 indexed citations
9.
Rochon, Dominic, et al.. (2012). Normal families of bicomplex meromorphic functions. Annales Polonici Mathematici. 103(3). 303–317. 14 indexed citations
10.
Rochon, Dominic, et al.. (2011). Hilbert Space of the Bicomplex Quantum Harmonic Oscillator. AIP conference proceedings.
11.
Rochon, Dominic, et al.. (2011). Hilbert Space of the Bicomplex Quantum Harmonic Oscillator. AIP conference proceedings. 148–157. 9 indexed citations
12.
Rochon, Dominic, et al.. (2010). Infinite-dimensional bicomplex Hilbert spaces. Annals of Functional Analysis. 1(2). 75–91. 19 indexed citations
13.
Rochon, Dominic, et al.. (2009). NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS. Fractals. 17(3). 257–268. 18 indexed citations
14.
Rochon, Dominic. (2008). On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation. Complex Variables and Elliptic Equations. 53(6). 501–521. 13 indexed citations
15.
Rochon, Dominic, et al.. (2005). ON A BICOMPLEX DISTANCE ESTIMATION FOR THE TETRABROT. International Journal of Bifurcation and Chaos. 15(9). 3039–3050. 9 indexed citations
16.
Rochon, Dominic, et al.. (2004). Bicomplex Quantum Mechanics: I. The Generalized Schrödinger Equation. Advances in Applied Clifford Algebras. 14(2). 231–248. 41 indexed citations
17.
Rochon, Dominic. (2004). A Bicomplex Riemann Zeta Function. Tokyo Journal of Mathematics. 27(2). 21 indexed citations
18.
Rochon, Dominic. (2003). On a Generalized Fatou-Julia Theorem. Fractals. 11(3). 213–219. 12 indexed citations
19.
Rochon, Dominic. (2001). A bloch constant for hyperholomorphic functions. Complex Variables Theory and Application An International Journal. 44(2). 85–101. 9 indexed citations
20.
Rochon, Dominic. (2000). A GENERALIZED MANDELBROT SET FOR BICOMPLEX NUMBERS. Fractals. 8(4). 355–368. 44 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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