Publications of Umberto Cerruti

I am a mathematician at the University of Torino, professor of Computational Algebra.

I worked in several fields : Topology, Category Theory, Fuzzy Sets, Valued Rings, p-adic Analysis, Number Theory and Genetic Algorithms

My Erdös number is 3

Award for the paper Categories of L-fuzzy relations on L-fuzzy sets

Presently I am working on:


List of publications:

  1. M. Abrate, S. Barbero , U. Cerruti, and N. Murru,Fixed Sequences for a Generalization of the Binomial Interpolated Operator and for some Other Operators
    J. Integer Sequences 14, Article 11.8.1, 2011.

  2. M. Abrate, S. Barbero , U. Cerruti, and N. Murru, Accelerations of Generalized Fibonacci equences
    The Fibonacci Quarterly, Vol. 49, p. 255-266, 2011.

  3. S. Barbero , U. Cerruti, and N. Murru, A Generalization of the Binomial Interpolated Operator and its Action on Linear Recurrent Sequences
    J. Integer Sequences 13, Article 10.9.7, 2010.

  4. S. Barbero , U. Cerruti, and N. Murru, Generalized Rédei rational functions and rational approximations over conics
    International Journal of Pure and Applied Mathematics, Vol. 64, p. 305-316, 2010.

  5. S. Barbero , U. Cerruti, and N. Murru, Trasforming recurrent sequences by using Bino- mial and Invert operators
    J. Integer Sequences 13, Article 10.7.7, 2010.

  6. Stefano Barbero, Umberto Cerruti, Nadir Murru, Solving the Pell equation via Rédei rational functions
    The Fibonacci Quarterly, Vol. 48, p. 348-357, 2010.

  7. Stefano Barbero, Umberto Cerruti, Catalan Moments
    Published in:
    Proceedings Of The International Conference on Fibonacci Numbers (F. Luca, P. Stanica, eds.). Patras, Greece, July 7 - July 11, 2008
    Utilitas Mathematica, Congressus Numerantium Vol. 201, p. 187-209, January 2010.

  8. Umberto Cerruti, Itinerari nel Mondo dei Numeri Primi (slides)
    Seminario tenuto presso l'INFN di Frascati, il 19 Aprile 2007. Una versione estesa è stata pubblicata sulla rivista Ricerca Aerospaziale, Vol. 1/2007, 42-61 (formato .doc).

  9. Luisella Caire, Umberto Cerruti, Numeri primi: la certezza, in:
    Bollettino U.M.I. Sez.A, La Matematica nella Società e nella Cultura, Serie VIII, Vol X-A, Aprile 2007, 85-117.

  10. Luisella Caire, Umberto Cerruti, Questo numero è primo ? Si, forse, dipende..., in:
    Bollettino U.M.I. Sez.A, La Matematica nella Società e nella Cultura, Serie VIII, Vol IX-A, Dicembre 2006/1, 449-481.

  11. Umberto Cerruti, Mario Giacobini and Ugo Merlone, A New Framework to Analyze Evolutionary 2 x 2 Symmetric Games in:
    IEEE Symposium on Computational Intelligence and Games, Colchester, United Kingdom,, April 2005, pag. 218-224, G. Kendall & S. Lucas Eds, IEEE Press, Piscataway, New Jersey

  12. U. Cerruti, M. Giacobini and P. Liardet, Prediction of Binary Sequences by Evolving Finite State Machines, in:
    Pierre Collet, Cyril Fonlupt, Jin-Kao Hao, Evelyne Lutton, Marc Schoenauer (Eds.): Artificial Evolution, 5th International Conference, Evolution Artificielle, EA 2001, Le Creusot, France, October 29-31, 2001, Selected Papers. Lecture Notes in Computer Science vol. 2310 (Springer 2002), 42-53.

  13. U. Cerruti and G. Margaria, Counting the number of solutions of equations in groups by recurrences,
    The Fibonacci Quarterly 39 (2001), no. 4, 290-298.

  14. U. Cerruti and F. Vaccarino, Vector linear recurrence sequences in commutative rings, in:
    Applications of Fibonacci numbers, Vol. 6 (Pullman, WA, 1994)}, 63--72, Kluwer Acad. Publ., Dordrecht, 1996; MR 97i:11012

  15. U. Cerruti and F. Vaccarino, Matrices, recurrent sequences and arithmetic, in:
    Applications of Fibonacci numbers, Vol. 6 (Pullman, WA, 1994)}, 53--62, Kluwer Acad. Publ., Dordrecht, 1996; MR 97i:11011

  16. U. Cerruti and F. Vaccarino, R-algebras of linear recurrent sequences,
    J. Algebra 175 (1995), no. 1, 332--338; MR 96e:11030

  17. U. Cerruti, Counting the number of solutions of congruences, in :
    Applications of Fibonacci numbers, Vol. 5 (St. Andrews, 1992), 85--101, Kluwer Acad. Publ., Dordrecht, 1993; MR 95b:11004

  18. U. Cerruti and U. Hohle, Categorical foundations of fuzzy set theory with applications to algebra and topology, in The mathematics of fuzzy systems, 51--86, TUV Rheinland, Cologne, 1986; MR 88f:03050

  19. U. Cerruti and U. Hohle, An approach to uncertainty using algebras over a monoidal closed category,
    Rend. Circ. Mat. Palermo (2) Suppl. No. 12 (1986), 47--63; MR 87j:03079

  20. U. Cerruti and U. Hohle, Categorical foundations of probabilistic microgeometry, in:
    Atti del Convegno "Mathematics of Fuzzy Systems", Napoli, giugno 1984, 72-129;

  21. U. Cerruti, ``Nonstandard'' concepts in fuzzy topology, in:
    Advances in fuzzy sets, possibility theory, and applications, 49--57, Plenum, New York, 1983; MR 85i:54002

  22. U. Cerruti, Completion of L-fuzzy relations,
    J. Math. Anal. Appl. {\bf 94} (1983), no.2, 312--327; MR 84i:03093

  23. U. Cerruti, Graphs and fuzzy graphs, in:
    Fuzzy information and decision processes, 123--131, North-Holland, Amsterdam, 1982; MR 84f:05078

  24. U. Cerruti, Categories of L-fuzzy relations on L-fuzzy sets, in:
    Applied Systems and Cybernetics, G.E. KLasker ed., vol. 6,2912-2920, Pergamon Press, 1981( Award for the best paper presented )

  25. L. Caire and U. Cerruti, On valued rings,
    Rend. Circ. Mat. Palermo (2) (1981), no.~1, 5--49; MR 83k:16005

  26. U. Cerruti, A categorical point of view in fuzzy theories, in:
    Proceedings of the Third International Seminar on Fuzzy Set Theory (Linz, 1981), 153--172, Johannes Kepler Univ., Linz, 1981; MR 83f:03052

  27. U. Cerruti, Non-Cantorian set theory topology, in:
    Proceedings of the Meeting on General Topology (Univ. Trieste, Trieste, 1978), 135--139, Univ. degli Studi Trieste, Trieste, Trieste, 1981; MR 82j:03070

  28. U. Cerruti, The Stone-Cech compactification in the category of fuzzy topological spaces,
    Fuzzy Sets and Systems (1981), no.2, 197--204; MR 82i:54018

  29. U, Cerruti, Fuzzy teorie algebriche,in:
    XI congresso UMI, Palermo, 184-185, settembre 1979

  30. U. Cerruti, Fibre-complete categories and fuzzy sets,
    Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. (1979), no.5-6, 435--439; MR 82b:03101

  31. U. Cerruti, M-relational spaces and fixed point theorems,
    Rend. Sem. Mat. Univ. Politec. Torino (1979), no.~3, 73--79 (1980); MR 81h:54007

  32. U. Cerruti, Non-Archimedean valued modules and non-Cantorian set theory, in:
    Proceedings of the Conference on p-adic Analysis (Nijmegen, 1978)}, 38--49, Katholieke Univ. Nijmegen, 1978; MR 80c:04006

  33. U. Cerruti, Fixed points in M-relational spaces, in:
    Topology, Vol. II (Proc. Fourth Colloq., Budapest, 1978)}, 253--257, Colloq. Math. Soc. Janos Bolyai, 23, North-Holland, Amsterdam, 1980; MR 81k:54035

  34. L. Caire and U. Cerruti, Fuzzy-relational spaces,
    Rend. Sem. Fac. Sci. Univ. Cagliari (1977), suppl., 63--87; MR 81h:54038

  35. L. Caire and U. Cerruti, Fuzzy relational spaces and algebraic structures,
    Rend. Sem. Mat. Univ. Politec. Torino (1976/77), 443--461 (1978); MR 80a:54006

  36. U. Cerruti, Sulla teoria della convergenza transfinita,
    Istit. Lombardo Accad. Sci. Lett. Rend. A (1976), no.~2, 531--542 (1977); MR #12934

  37. U. Cerruti, Strutture di convergenza e spazi omega mu metrizzabili,
    Rend. Sem. Mat. Univ. e Politec. Torino (1975/76), 275--287; MR #11186

  38. U. Cerruti, Alcune considerazioni sugli spazi di dimensione debole induttiva zero,
    Ist. Lombardo. Accad. Sci. Lett. Rend. A (1973), 672--684 (1974); MR #11863

  39. U. Cerruti, Sulla convergenza di reti di insiemi,
    Rend. Sem. Mat. Univ. e Politech. Torino (1971/73), 261--274 (1974); MR #11452

  40. U. Cerruti, Sulle strutture topologiche negli insiemi parzialmente ordinati,
    Ist. Lombardo Accad. Sci. Lett. Rend. A (1972), 713--738; MR #7222