Lajos Takács

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The native form of this personal name is Takács Lajos. This article uses the Western name order.

Lajos Takács (born August 21, 1924 in Maglód) was a Hungarian mathematician, known for his contributions to probability theory and in particular, queueing theory. He wrote over two hundred scientific papers and two books.

He studied at the Technical University of Budapest (1943), taking courses with Charles Jordan and later receiving a Ph.D. for his dissertation On a Probability-theoretical investigation of Brownian Motion (1948). Also, he was awarded a habilitation degree on a treatise entitled Stochastic processes arising in the theory of particle counters (1957).

He worked at Tungsram research under Zoltán Bay, studying microwave echoes from the moon (1946-55), as well as being a research assistant at the Hungarian Academy of Sciences. His work in queueing theory started in traffic analysis with the Telecommunications Research Center (Tungsram). He became one of the first to introduce semi-Markov processes in queueing theory (1952).[1]

He took a lecturing appointment at Imperial College in London and London School of Economics (1958), before moving to Columbia University in New York City (1959-66) and Case Western Reserve University in Cleveland (1966-87), advising over twenty Ph.D.-theses.[2] He also held visiting appointments at Bell Labs and IBM Research, had sabbaticals at Stanford University (1966).

Contents

[edit] Publications

The following is a partial list of his several hundred publications

  • Some Investigations Concerning Recurrent Stochastic Processes of a Certain Kind, 1953.
  • Investigations of Waiting Time Problems by Reduction to Markov Processes, 1954
  • Sojourn times for the Brownian motion, Journal of Applied Mathematics and Stochastic Analysis, vol. 11, no. 3, pp. 231–246, 1998
  • In memoriam: Pál Erdős (1913-1996), Journal of Applied Mathematics and Stochastic Analysis, vol. 9, no. 4, pp. 563–564, 1996
  • Sojourn times, Journal of Applied Mathematics and Stochastic Analysis, vol. 9, no. 4, pp. 415–426, 1996
  • Brownian local times, Journal of Applied Mathematics and Stochastic Analysis, vol. 8, no. 3, pp. 209–232, 1995
  • Limit distributions for queues and random rooted trees, Journal of Applied Mathematics and Stochastic Analysis, vol. 6, no. 3, pp. 189–216, 1993
  • On a probability problem connected with Railway traffic, Journal of Applied Mathematics and Stochastic Analysis, vol. 4, no. 1, pp. 1–27, 1991
  • Conditional limit theorems for branching processes, Journal of Applied Mathematics and Stochastic Analysis, vol. 4, no. 4, pp. 263–292, 1991
  • On the distribution of the number of vertices in layers of random trees, Journal of Applied Mathematics and Stochastic Analysis, vol. 4, no. 3, pp. 175–186, 1991
  • Queues, random graphs and branching processes, Journal of Applied Mathematics and Stochastic Analysis, vol. 1, no. 3, pp. 223–243, 1988
  • On the distribution of the supremum for stochastic processes, Annales de l'institut Henri Poincaré (B) Probabilités et Statistiques, 6(3):237-247, 1970
  • On the Total Heights of Random Rooted Binary Trees, J. Comb. Theory, Ser. B 61(2): 155-166 (1994)
  • Counting forests, Discrete Mathematics 84(3): 323-326 (1990)
  • On Cayley's formula for counting forests, J. Comb. Theory, Ser. A 53(2): 321-323 (1990)
  • A generalization of an inequality of Stepanov, J. Comb. Theory, Ser. B 48(2): 289-293 (1990)
  • On the Number of Distinct Forests, SIAM J. Discrete Math. 3(4): 574-581 (1990)
  • On the "problème des ménages", Discrete Mathematics 36(3): 289-297 (1981)
  • On a Combinatorial Theorem Related to a Theorem of G. Szegö, J. Comb. Theory, Ser. A 30(3): 345-348 (1981)
  • An Identity for Ordered Partial Sums, J. Comb. Theory, Ser. A 23(3): 364-365 (1977)

[edit] Books

  • Introduction to the Theory of Queues, (Oxford University Press, 1962)
  • Combinatorial Methods in the Theory of Stochastic Processes, 1967

[edit] Awards

[edit] Literature

  • Jewgeni H. Dshalalow1 and Ryszard Syski, Lajos Takács and his work, in Jnr. of Applied Math. and Stochastic Analysis, 7(3):215-237, 1994.[3]
  • Studies in Applied Probability, Papers in Honour of Lajos Takacs. by J. Galambos, J. Gani, The Journal of the Operational Research Society, 46(11):1397-98, 1995

[edit] References

  1. ^ Cite error: Invalid <ref> tag; no text was provided for refs named syzki
  2. ^ entry at mathematics geneaology
  3. ^ online version of festschrift