Mathematical Genealogy
As can be seen here, my mathematical lineage has some noble ancestors (two Bernoulli's, Euler, Lagrange, d'Alambert, Gauss, Hilbert, and others). Maybe this explains my interest in theoretical mechanics! A little bit more detailed genealogy tree is available here, as well as a link to my Math Genealogy page.
Collaboration distance:
Currently, my Erdös number is 5 and my Einstein number is 6.
Proof of Erdös:
[1] |
Americo Cunha Jr |
coauthored with |
Rubens Sampaio |
[2] |
Rubens Sampaio |
coauthored with |
William Williams |
[3]
|
William Williams
|
coauthored with |
Lael Kinch |
[4] |
Lael Kinch |
coauthored with |
Jenő Lehel |
[5] |
Jenő Lehel
|
coauthored with |
Paul Erdös |
[1]
|
A. Cunha Jr and R. Sampaio
|
|
On the nonlinear stochastic dynamics of a continuous system with discrete attached elements |
|
Applied Mathematical Modelling, vol. 39, pp. 809-819, 2015 |
[2] |
R. Sampaio and W. O. Williams
|
|
Thermodynamics of diffusing mixtures |
|
J. Mécanique, vol. 18, no. 1, pp. 19–45, 1979 |
[3] |
C. Eberhart, W. O. Williams, and L. Kinch |
|
Idempotent-generated regular semigroups |
|
J. Austral. Math. Soc., vol. 15, pp. 27–34, 1973 |
[4] |
L. Kinch and J. Lehel
|
|
Sum-distinct sequences and Fibonacci numbers |
|
Period. Math. Hungar., vol. 21, no. 1, pp. 65–71, 1990 |
[5] |
P. Erdös, M. S. Jacobson, and J. Lehel
|
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Graphs realizing the same degree sequences and their respective clique numbers |
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Graph Theory, Combinatorics, and Applications, vol. 1, pp. 439–449, 1991 |
Proof of Einstein:
[1] |
Americo Cunha Jr |
coauthored with |
Christian Soize |
[2] |
Christian Soize |
coauthored with |
Paul R. Krée |
[3]
|
Paul R. Krée |
coauthored with |
Carlos A. Berenstein |
[4] |
Carlos A. Berenstein |
coauthored with |
William W. Adams |
[5] |
William W. Adams |
coauthored with |
Ernst Gabor Straus |
[6] |
Ernst Gabor Straus |
coauthored with |
Albert Einstein |
[1]
|
A. Cunha Jr, C. Soize, and R. Sampaio
|
|
Computational modeling of the nonlinear stochastic dynamics of horizontal drillstrings |
|
Computational Mechanics, vol. 56, pp. 849–878, 2015 |
[2] |
C. Soize. and P. Krée
|
|
Mathematics of random phenomena. Random vibrations of mechanical structures. |
|
D. Reidel Publishing Co., Dordrecht, 1986 |
[3] |
C. A. Berenstein, M. Cotlar, N. Kerzman, and P. Krée |
|
Some remarks on the Marcinkiewicz convexity theorem in the upper triangle |
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Studia Math, vol. 29, pp. 79–95, 1967 |
[4] |
W. W. Adams, C. A. Berenstein, P. Loustaunau, I. Sabadini, and D. C. Struppa |
|
Regular functions of several quaternionic variables and the Cauchy-Fueter complex |
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J. Geom. Anal., vol. 9, pp. 1–15, 1999 |
[5] |
W. W. Adams and E. G. Straus |
|
Non-archimedian analytic functions taking the same values at the same points |
|
Illinois J. Math, vol. 15, pp. 418–424, 1971 |
[6] |
A. Einstein and E. G. Straus
|
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The influence of the expansion of space on the gravitation fields surrounding the individual stars |
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Rev. Modern Phys., vol. 17, pp. 120–124, 1945. |
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