Vaclav Edvard Benes

Vaclav Edvard Benes's AcademicInfluence.com Rankings

Vaclav Edvard Benes

Mathematics

#6309

World Rank

#8764

Historical Rank

Graph Theory

#80

World Rank

#88

Historical Rank

Measure Theory

#1253

World Rank

#1589

Historical Rank

mathematics Degrees

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Mathematics

Vaclav Edvard Benes's Degrees

PhD Mathematics Charles University

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Vaclav Edvard Benes's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Mathematical Theory of Connecting Networks and Telephone Traffic. (1966) (920)
Statistical Theory of Communication (1960) (795)
Exact finite-dimensional filters for certain diffusions with nonlinear drift (1981) (417)
Optimal rearrangeable multistage connecting networks (1964) (296)
Some solvable stochastic control problemst (1980) (283)
Existence of Optimal Stochastic Control Laws (1971) (211)
On rearrangeable three-stage connecting networks (1962) (191)
Existence of Optimal Strategies Based on Specified Information, for a Class of Stochastic Decision Problems (1970) (150)
N-stage planar optical permutation network. (1987) (132)
General Stochastic Processes in the Theory of Queues (1965) (118)
Permutation groups, complexes, and rearrangeable connecting networks (1964) (78)
On Queues with Poisson Arrivals (1957) (58)
Programming and Control Problems Arising from Optimal Routing in Telephone Networks (1966) (55)
Estimation and control for linear, partially observable systems with non-gaussian initial distribution☆☆☆ (1983) (46)
On the Relation of Zakai’s and Mortensen’s Equations (1983) (46)
A sufficient set of statistics for a simple telephone exchange model (1957) (44)
The covariance function of a simple trunk group, with applications to traffic measurement (1961) (41)
Heuristic remarks and mathematical problems regarding the theory of connecting systems (1962) (40)
New exact nonlinear filters with large Lie algebras (1985) (39)
Algebraic and topological properties of connecting networks (1962) (37)
Recursive nonlinear estimation of a diffusion acting as the rate of an observed Poisson process (1980) (37)
Fluctuations of telephone traffic (1957) (29)
Full “Bang” to Reduce Predicted Miss is Optimal (1976) (27)
Nonexistence of strong nonanticipating solutions to stochastic DEs: implications for functional DEs, filtering, and control (1977) (22)
Girsanov functionals and optimal bang-bang laws for final value stochastic control (1974) (21)
Examples of optimal control for partially observable systems:comparison, classical, and martingale methods† (1981) (19)
A “thermodynamic” theory of traffic in connecting networks (1963) (18)
Composition and invariance methods for solving some stochastic control problems (1975) (17)
On trunks with negative exponential holding times serving a renewal process (1959) (16)
Markov processes representing traffic in connecting networks (1963) (14)
Reduction of network states under symmetries (1978) (13)
A Nonlinear Integral Equation in the Marcinkiewicz Space (1965) (13)
Wiener Integrals Associated with Diffusion Processes (1968) (13)
Control with Partial Observations and an Explicit Solution of Mortensen’s Equation (2004) (13)
COMBINATORY METHODS AND STOCHASTIC KOLMOGOROV EQUATIONS IN THE THEORY OF QUEUES WITH ONE SERVER (1960) (11)
General stochastic processes in traffic systems with one server (1960) (11)
Nonlinear filtering: Problems, examples, applications (1983) (9)
A "Renewal" Limit Theorem for General Stochastic Processes (1962) (8)
Finite-dimensional solutions of a modified Zakai equation (1996) (8)
Semilattice characterization of nonblocking networks (1973) (8)
Optimal stationary linear control of the Wiener process (1980) (8)
Optimal routing in connecting networks over finite time intervals (1967) (8)
Applications of a theorem of dubrovskii to the periodic responses of nonlinear systems (1964) (8)
On the properties of nonlinear integral equations that arise in the theory of dynamical systems (1964) (7)
Blocking states in connecting networks made of square switches arranged in stages (1981) (7)
Pursuing a maneuvering target which uses a random process for its control (1995) (7)
Extension of Clark’s innovations equivalence theorem to the case of signal z . independent of noise, with ∫ 0 t z s 2 ds<∞ a.s. (1976) (7)
Filtering of diffusions controlled through their conditional measures (1981) (7)
Transition probabilities for telephone traffic (1960) (7)
Growth, complexity, and performance of telephone connecting networks (1983) (7)
A partial model for Quine's “New foundations” (1954) (6)
Filtering for piecewise linear drift and observation (1981) (6)
A nonlinear integral equation from the theory of servomechanisms (1961) (6)
Realizing a weak solution on a probability space (1978) (5)
Models and Problems of Dynamic Memory Allocation (1982) (5)
Martingales on Metric Spaces (1962) (5)
On some proposed models for traffic in connecting networks (1967) (5)
Quadratic Approximation by Linear Systems Controlled From Partial Observations (1991) (4)
Pursuing a maneuvering target which uses a hidden Markov model for its control (1992) (4)
Some examples of comparisons of connecting networks (1966) (4)
On the response of time-variable nonlinear systems to almost periodic signals (1965) (4)
Ultimately periodic solutions to a non-linear integrodifferential equation (1962) (4)
Finite Dimensional Risk Sensitive Information States (1995) (4)
Storage problems involving finite capacity, loading protocols and exact content (1984) (3)
Estimating the terminal state of a maneuvering target (1994) (3)
Optimal stopping under partial observations (1982) (3)
Review: Thomas L. Saaty, Elements of Queueing Theory, with Applications (1963) (3)
Extensions of Wiener's Tauberian theorem for positive measures (1961) (3)
Some inequalities in the theory of telephone traffic (1965) (3)
On comparing connecting networks (1967) (3)
Optimality of “full bang to reduce predicted miss” for some partially observed stochastic control problems (1988) (2)
Traffic in connecting networks when existing calls are rearranged (1970) (2)
Applications of group theory to connecting networks (1975) (2)
A Degree Method for Free Boundaries in Stochastic Control (1981) (2)
Solving the Zakai equation by ito's Method (1982) (1)
Detecting the occurrence of an event by FM through noise (1981) (1)
Mr. Mayo on “Rules” of language (1951) (1)
Review: J. Barkley Rosser, The Axiom of Infinity in Quine's New Foundations (1953) (1)
Review: J. Barkley Rosser, The Relative Strength of Zermelo's Set Theory and Quine's New Foundations (1957) (1)
A Stochastic Adaptive Control Problem and Related Non-adaptive Problems (1987) (1)
Stability of frequency feedback receivers under steps in input frequency (1971) (1)
Properties of random traffic in nonblocking telephone connecting networks (1965) (1)
Composition and invariance methods for solving optimal control problems (1974) (1)
A Fixed Point Method for Studying the Stability of a Class of Integrodifferential Equations (1961) (1)
A telephone traffic model based on randomly closing crosspoints, and its relationships to other models (1971) (0)
Myhill John. The hypothesis that all classes are nameable. Proceedings of the National Academy of Sciences of the United States of America , vol. 38 (1952), pp. 979–981. (1955) (0)
Adaptive stochastic filtering (1984) (0)
Quine W. V.. On the consistency of “New foundations.” Proceedings of the National Academy of Sciences of the United States of America, vol. 37 (1951), pp. 538–540. (1952) (0)
Review: John Myhill, The Hypothesis That All Classes are Nameable (1955) (0)
Memory allocation and routing: Some dynamic programming without computation (1983) (0)
Quine Willard van Orman. Mathematical logic. Revised edition. Harvard University Press, Cambridge, Mass., 1951, xii + 346 pp. (1952) (0)
Review: Moh Shaw-Kwei, A Note on the Theory of Quantification (1953) (0)
Shaw-Kwei Moh. A note on the theory of quantification. The journal of symbolic logic, vol. 17 (1952), pp. 243–244. (1953) (0)
Contributors to this issue (1957) (0)
On kailath's innovations conjecture hold (1976) (0)
Introduction to Switching Networks (1987) (0)
Ultimately Periodic Behavior in a Class of Non-Linear Servomechanisms (1963) (0)
On the consistency of an axiom of enumerability (1955) (0)
New exact non-linear filters by large Lie algebras (1984) (0)
STOCHASTIC CONTROL PROBLEMS (1975) (0)
Orey Steven. Formal development of ordinal number theory. The journal of symbolic logic, vol. 20 (1955), pp. 95–104.Orey Steven. On the relative consistency of set theory. The journal of symbolic logic, vol. 21 (1956), pp. 280–290. (1958) (0)
Memoirs of Eduard Beneš (1957) (0)
Rosser J. Barkley. The axiom of infinity in Quine's New foundations. The journal of symbolic logic , vol. 17 (1952), pp. 238–242. (1953) (0)
On some alleged philosophical implications of mathematical logic (1953) (0)
NONLINEAR FILTERING AND OPTIMAL QUALITY CONTROL (1998) (0)
Index reduction of FM waves by feedback and power-law nonlinearities (1965) (0)
Review: Steven Orey, Formal Development of Ordinal Number Theory; Steven Orey, On the Relative Consistency of Set Theory (1958) (0)
Proving the rearrangeability of connecting networks by group calculations (1975) (0)
Asymptotic behavior of general queues with one server (1961) (0)
"Rules" of Language.@@@Mr. Mayo on "Rules" of Language. (1952) (0)
Combinatorial solution to the problem of optimal routing in progressive gradings (1967) (0)
Review: Hao Wang, The Categoricity Question of Certain Grand Logics (1957) (0)
Transition probabilities for some ‘special' diffusions (1987) (0)
A Homotopy Method for Proving Convexity in Certain Optimal Stochastic Control Problems (1975) (0)
Toward a group-theoretic proof of the rearrangeability theorem for clos' network (1975) (0)
Review: W. V. Quine, On the Consistency of "New Foundations." (1952) (0)

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Vaclav Edvard Benes's Academic­Influence.com Rankings

Vaclav Edvard Benes's Degrees

Why Is Vaclav Edvard Benes Influential?

Vaclav Edvard Benes's Published Works

Published Works

Vaclav Edvard Benes's AcademicInfluence.com Rankings