Lajos Takács
Hungarian mathematician
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Mathematics
Lajos Takács's Degrees
- PhD Mathematics Eötvös Loránd University
Why Is Lajos Takács Influential?
(Suggest an Edit or Addition)According to Wikipedia, Lajos Takács was a Hungarian mathematician, known for his contributions to probability theory and in particular, queueing theory. He wrote over two hundred scientific papers and six books. He studied at the Technical University of Budapest , taking courses with Charles Jordan and received an M.S. for his dissertation On a Probability-theoretical Investigation of Brownian Motion . From 1945-48 he was a student assistant to Professor Zoltán Bay and participated in his famous experiment of receiving microwave echoes from the Moon . In 1957 he received the Academic Doctor's Degree in Mathematics for his thesis entitled "Stochastic processes arising in the theory of particle counters" .
Lajos Takács's Published Works
Published Works
- Introduction to the Theory of Queues. (1963) (958)
- Combinatorial Methods in the Theory of Stochastic Processes (1967) (345)
- A single-server queue with feedback (1963) (287)
- Priority Queues (1964) (273)
- Investigation of waiting time problems by reduction to Markov processes (1955) (184)
- On certain sojourn time problems in the theory of stochastic processes (1957) (146)
- A Generalization of the Ballot Problem and its Application in the Theory of Queues (1962) (117)
- A bernoulli excursion and its various applications (1991) (101)
- On Erlang's Formula (1969) (99)
- Two Queues Attended by a Single Server (1968) (96)
- Delay distributions for one line with poisson input, general holding times, and various orders of service (1963) (67)
- An Increasing Continuous Singular Function (1978) (63)
- On secondary processes generated by a Poisson process and their applications in physics (1954) (62)
- On the Distribution of the Integral of the Absolute Value of the Brownian Motion (1993) (61)
- THE LIMITING DISTRIBUTION OF THE VIRTUAL WAITING TIME AND THE QUEUE SIZE FOR A SINGLE-SERVER QUEUE WITH RECURRENT INPUT AND GENERAL SERVICE TIMES (1963) (58)
- A single-server queue with limited virtual waiting time (1974) (54)
- On a probability problem arising in the theory of counters (1956) (52)
- On a sojourn time problem in the theory of stochastic processes (1959) (50)
- On the Method of Inclusion and Exclusion (1967) (49)
- On secondary stochastic processes generated by recurrent processes (1956) (49)
- Stochastic Processes: Problems and Solutions. (1960) (46)
- Conditional limit theorems for branching processes (1991) (43)
- On the generalization of Erlang's formula (1956) (43)
- Some asymptotic formulas for lattice paths (1986) (42)
- On The Ballot Theorems (1997) (40)
- The Transient Behavior of a Single Server Queuing Process with a Poisson Input (1961) (40)
- On a generalization of the arc-sine law (1996) (39)
- The problem of coincidences (1980) (39)
- A Single-Server Queue with Poisson Input (1962) (39)
- On a coincidence problem concerning telephone traffic (1958) (37)
- On stochastic processes connected with certain physical recording apparatuses (1955) (37)
- On the Classical Ruin Problems (1969) (36)
- Limit distributions for the Bernoulli meander (1995) (35)
- Brownian local times (1995) (34)
- The Probability Law of the Busy Period for Two Types of Queuing Processes (1961) (34)
- On the Local Time of the Brownian Motion (1995) (32)
- On the Limiting Distribution of the Number of Coincidences Concerning Telephone Traffic (1959) (30)
- On a Probability Problem in the Theory of Counters (1958) (30)
- The Time Dependence of a Single-Server Queue with Poisson Input and General Service Times (1962) (29)
- On the Number of Distinct Forests (1990) (28)
- On a Stochastic Process Concerning Some Waiting Time Problems (1957) (28)
- Transient behavior of single-server queueing processes with Erlang input (1961) (28)
- On a probability problem connected with Railway traffic (1991) (28)
- A queuing model with feedback (1977) (26)
- Random walks on groups (1982) (25)
- Transient Behavior of Single-Server Queuing Processes with Recurrent Input and Exponentially Distributed Service Times (1960) (25)
- APPLICATION OF BALLOT THEOREMS IN THE THEORY OF QUEUES (1964) (25)
- On the distribution of the supremum for stochastic processes with interchangeable increments (1965) (24)
- Random Walk Processes and their Applications in Order Statistics (1992) (23)
- Limit distributions for queues and random rooted trees (1993) (23)
- Ballot problems (1962) (21)
- On the limit distribution of the number of cycles in a random graph (1988) (21)
- A moment convergence theorem (1991) (21)
- SOJOURN TIMES (2014) (20)
- On fluctuation problems in the theory of queues (1976) (20)
- Occurrence and coincidence phenomena in case of happenings with arbitrary distribution law of duration (1951) (19)
- Ballots, queues and random graphs (1989) (19)
- Occupation Time Problems in the Theory of Queues (1964) (18)
- On the total heights of random rooted trees (1992) (18)
- On a probability problem concerning telephone traffic (1957) (18)
- A moment problem (1965) (18)
- On a Sojourn Time Problem (1958) (17)
- On the Total Heights of Random Rooted Binary Trees (1994) (17)
- The stochastic law of the busy period for a single server queue with Poisson input (1963) (16)
- On the Sequence of Events, Selected by a Counter From a Recurrent Process of Events (1956) (16)
- Queues with infinitely many servers (1980) (16)
- On generalized Dedekind sums (1979) (16)
- The distribution of majority times in a ballot (1963) (15)
- On Cayley's formula for counting forests (1990) (15)
- Random walks on a dodecahedron (1980) (15)
- Random flights on regular graphs (1984) (15)
- Random walks on an m-dimensional cube. (1979) (14)
- A Single-Server Queue with Recurrent Input and Exponentially Distributed Service Times (1962) (14)
- SOME PROBABILITY PROBLEMS CONCERNING THE MARKING OF CODES INTO THE SUPERIMPOSITION FIELD (1956) (14)
- On an urn problem of Paul and Tatiana Ehrenfest (1979) (14)
- On the distribution of the number of vertices in layers of random trees (1991) (14)
- Combinatorial methods in the theory of dams (1964) (13)
- Fluctuation Problems for Bernoulli Trials (1979) (12)
- The distribution of the sojourn time for the Brownian (1999) (12)
- Sojourn Time Problems (1974) (12)
- Random Flights on Regular Polytopes (1981) (12)
- Combinatorial Methods in the Theory of Queues (1964) (11)
- On some probability problems concerning the theory of counters (1957) (11)
- On the distribution of the maximum of sums of mutually independent and identically distributed random variables (1970) (11)
- On a method of Pollaczek (1973) (11)
- The distribution of the content of finite dams (1967) (11)
- On risk reserve processes (1970) (10)
- On a queueing problem concering telephon traffic (1957) (10)
- Queues, random graphs and branching processes (1988) (10)
- The Distribution of the Virtual Waiting Time for a Single-Server Queue with Poisson Input and General Service Times (1963) (10)
- Random Walks on A 600-Cell (1980) (10)
- A combinatorial theorem for stochastic processes (1965) (9)
- Combinatorial and analytic methods in the theory of queues (1975) (9)
- A Combinatorial Method in the Theory of Queues (1962) (9)
- Limit theorems for random trees. (1992) (9)
- Über die Wahrscheinlichkeitstheoretische Behandlung der Anodenstromschwankungen von Elektronenröhren (1957) (9)
- On processes of happenings generated by means of a poisson process (1955) (8)
- On the Comparison of Two Empirical Distribution Functions (1971) (8)
- The Transient Behavior of a Single Server Queuing Process with Recurrent Input and Gamma Service Time (1961) (8)
- Charles Jordan, 1871-1959 (1961) (8)
- A storage process by semi-Markov input (1975) (8)
- Fluctuations in the ratio of scores in counting a ballot (1964) (8)
- On the Busy Periods of Single-Server Queues with Poisson Input and General Service Times (1976) (8)
- Delay distributions for simple trunk groups with recurrent input and exponential service times (1962) (7)
- On limiting distributions concerning a sojourn time problem (1957) (7)
- On the comparison of a theoretical and an empirical distribution function (1971) (7)
- A fundamental identity in the theory of queues (1970) (6)
- Random Walk Processes and their Various Applications (1992) (6)
- On the fluctuations of election returns (1970) (6)
- On a general probability theorem and its applications in the theory of the stochastic processes (1958) (6)
- The use of a ballot theorem in order statistics (1964) (6)
- Sojourn times for the Brownian motion (1998) (6)
- THE DISTRIBUTIONS OF SOME STATISTICS DEPENDING ON THE DEVIATIONS BETWEEN EMPIRICAL AND THEORETICAL DISTRIBUTION FUNCTIONS (1964) (6)
- Counting forests (1990) (6)
- On dams of finite capacity (1968) (5)
- APPLICATIONS OF A BALLOT THEOREM IN PHYSICS AND IN ORDER STATISTICS (1965) (5)
- ON A COINCIDENCE PROBLEM CONCERNING PARTICLE COUNTERS (1961) (5)
- The Arc Sine Law of Paul Lévy (1981) (5)
- On the Local Time of the Brownian Bridge (1999) (4)
- Non-Markovian Processes (1966) (4)
- Lattice Path Counting and Applications (Sri Gopal Mohanty) (1983) (4)
- News and Letters (1988) (4)
- The time dependence of Palm's loss formula☆ (1961) (4)
- A combinatorial method in the theory of Markov chains (1964) (4)
- Discrete queues with one server (1971) (4)
- On a formula of Harald Cramér (1975) (3)
- On inverse queuing processes (1969) (3)
- Stochastic processes with balking in the theory of telephone traffic (1961) (3)
- On a formula of Pollaczek and Spitzer (1972) (3)
- AN APPLICATION OF A BALLOT THEOREM IN ORDER STATISTICS (1964) (3)
- Chance or Determinism (1986) (2)
- On the ordered partial sums of real random variables (1977) (2)
- On a Problem of Fluctuations of Sums of Independent Random Variables (1975) (2)
- A sum of binomial coefficients (1978) (2)
- A generalization of an inequality of Stepanov (1990) (2)
- Stochastic Process: Problems and Solutions (1966) (2)
- Some remarks on a counter process (1976) (2)
- On a Combinatorial Theorem Related to a Theorem of G. Szegö (1981) (1)
- Pollaczek's results in fluctuation theory (1993) (1)
- On fluctuation problems in the theory of queues (1976) (1)
- On the heights and widths of random rooted trees (1992) (1)
- On a theorem of Gy. Hajós (1980) (1)
- On a problem of Gy. Hajos (1984) (1)
- On a Three-Sample Test (1996) (1)
- An Identity for Ordered Partial Sums (1977) (1)
- Review: J. W. Cohen, The Single Server Queue (1971) (1)
- The probability distribution of the number of secondary electrons (1947) (1)
- Review: Valentin F. Kolchin, Random mappings (1988) (0)
- Combinatorial and analytic methods in the theory of queues (1975) (0)
- A generalization of the Eulerian numbers (2022) (0)
- The Distribution of the Occupation Time for Single-Server Queues (1971) (0)
- FROM BALLOT THEOREMS TO THE THEORY OF QUEUES (1964) (0)
- In memoriam: Pl Erdos (1913-1996) (1996) (0)
- 7 Combinatorics (1984) (0)
- Solutions of Problems (1966) (0)
- Miscellaneous front pages, Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 2: Contributions to Probability Theory, Pt. 2 (1967) (0)
- Publications of Lajos Takács (1994) (0)
- Einführung in die Bedienungstheorie (B. W. Gnedenko and I. N. Kowalenko) (1977) (0)
- On the comparison of theoretical and empirical distribution functions (1998) (0)
- IN THE THEORY OF QUEUES (1976) (0)
- Stochastic Processes, Problems and Solutions@@@Stochastic Population Models (1962) (0)
- The Distribution of the Local Time of Brownian Motion with Drift (2019) (0)
- JPR volume 31 issue A Cover and Front matter (1994) (0)
- Les Phenomenes d'Attente, Theorie et Applications.@@@Elements of Queueing Theory with Applications.@@@Introduction to the Theory of Queues. (1963) (0)
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