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
  Graphs realizing the same degree sequences and their respective clique numbers
  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
  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
  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
  The influence of the expansion of space on the gravitation fields surrounding the individual stars
  Rev. Modern Phys., vol. 17, pp. 120–124, 1945.