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Conferences |
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[1] |
É. Martineau & D. Rochon, On
a Bicomplex Distance Estimation for the TetraBrot, June 2004. |
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[2] |
D. Rochon, A
Bicomplex Riemann Zeta Function, May 2002. |
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[3] |
D. Rochon, A
Bloch Constant for Hyperholomorphic Functions, May 2002. |
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[4] |
S. Tremblay, Bicomplex
Shrödinger Equation, May 2005. |
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[5] |
J. Lajoie, M. Martineau & D. Rochon, 3D
Fractals, May 2006. |
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[6] |
D. Rochon, Bicomplex
Pseudoanalytic Function Theory, September 2007. |
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[7] |
D. Rochon, Normal
Families of Bicomplex Holomorphic Functions, September 2008. |
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[8] |
S. Tremblay, Zakharov-Shabat
system and hyperbolic pseudoanalytic function theory, September
2008. |
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[9] |
V. Garant-Pelletier, On
a generalized Fatou-Julia theorem in multicomplex spaces, September
2008. |
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[10] |
D. Rochon, Bicomplex
Functional Analysis, October 2012. |
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[11] |
D. Rochon, The Inverse Iteration Method for Julia Sets in the 3-Dimensional Space, May 2015. |
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[12] |
P.-O. Parisé, Tricomplex Dynamics and generalized Mandelbrot
sets, November 2015. |
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[13] |
D. Rochon, On a Tricomplex Distance Estimation for Generalized Multibrot Sets, May 2017. |
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[14] |
D. Rochon, Platonic Solids and Fractals, June 2018. |
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[15] |
D. Rochon, Characterization of the Multicomplex Mandelbrot Set, June 2019. |
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[16] |
D. Rochon, Relationship between the Mandelbrot Algorithm and the Platonic Solids, June 2022. |
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Posters |
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[1] |
J. Mathieu, L. Marchildon & D. Rochon, The
Bicomplex Quantum Hydrogen-like Formalism, June 2012. |
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[2] |
P.-O. Parisé & D. Rochon, The Generalized Mandelbrot Sets over the Tricomplex Spaces, December 2015. |
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[3] |
P.-O. Parisé & D. Rochon, POLYÈDRES, POLYGONES ET ENSEMBLES DE MANDELBROT, March 2016. |
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[4] |
H. Moreau & D. Rochon, Les nombres premiers hyperboliques et la conjecture de Goldbach, March 2016. |
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[5] |
A. Vallières & D. Rochon, Fractales tridimensionnelles et solides de Platon, March 2019. |
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[6] |
G. Brouillette & D. Rochon, Classification des coupes tridimensionnelles de l'ensemble de Mandelbrot généralisé, March 2019. |
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[7] |
V. Boily & D. Rochon, Généralisation de l'ensemble de Mandelbrot en coordonnées sphériques, February 2022. |
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Masters Thesis Supervised by Prof. D. Rochon |
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[1] |
É. Martineau, Borne de la distance à l'ensemble de Mandelbrot généralisé, UQTR, Master's Thesis, December 2004.
(in French) |
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[2] |
J. Lajoie, La
géométrie fractale, UQTR, Master's Thesis, June 2006.
(in French) |
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[3] |
R. Gervais Lavoie, Oscillateur
harmonique quantique dans un espace de Hilbert bicomplexe et algèbre
linéaire bicomplexe, UQTR, Master's Thesis, September 2010. (in French) |
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[4] |
V. Garant-Pelletier, Ensembles
de Mandelbrot et de Julia remplis classiques, généralisés aux espaces
multicomplexes et théorème de Fatou-Julia généralisé, UQTR, Master's
Thesis, March 2011. (in French) |
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[5] |
C. Matteau, La
méthode d'itération inverse pour les ensembles de
Julia du plan et de l'espace tridimensionnel, UQTR, Master's Thesis,
January 2014. (in French) |
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[6] |
H. Moreau, La représentation des nombres premiers hyperboliques dans le plan, UQTR, Master's Thesis,
April 2017. (in French) |
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[7] |
P.-O. Parisé, Les ensembles de Mandelbrot tricomplexes généralisés aux polynômes η^p + c, Master's Thesis, UQTR,
June 2017. (in French) |
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[8] |
G. Brouillette, Classification des coupes tridimensionnelles principales des Multibrots multicomplexes, Master's Thesis, UQTR,
July 2019. (in French) |
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[9] |
A. Vallières,
Dynamique tricomplexe et solides de Platon, Master's Thesis, UQTR,
January 2021. (in French) |
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[10] |
V. Boily,
Étude de l'ensemble de Mandelbrot généralisé dans l'espace des quaternions, Master's Thesis, UQTR,
May 2022. (in French) |