В
1990 году
Бенеш был избран членом общества
IEEE
за вклад в изучение структур телефонных коммутационных (соединительных) сетей, стохастического управления и нелинейной фильтрации
. В честь 70-летия учёного в
Колумбийском университете
праздновался «Бенешфест». Работы учёного были востребованы, в частности, при разработке коммутационных полей для систем быстрой коммутации пакетов
и, соответственно,
ATM
.
С
1985 года
Бенеш живёт в Миллбёрне,
штат Нью-Джерси
,
США
, где в течение долгих лет он занимался
альпинизмом
, является членом Американского клуба альпинистов (American Alpine Club)
, и в настоящее время возглавляет местное историческое общество
. Его жена Дженет Франклин — племянница
Норберта Винера
.
Книги
Vaclav E. Benes,.
General stochastic processes in the theory of queues. — Addison-Wesley Pub. Co., 1963. — С. 88.
Vaclav E. Benes,.
Mathematical Theory of Connecting Networks and Telephone Traffic. —
Academic Press
, 1965.
В. Э. Бенеш.
Математические основы теории телефонных сообщений = Mathematical theory of connecting networks and telephone traffic / И. Н. Коваленко (ред.), В. И. Нейман, А. Д. Харкевич (пер.). —
М.
: Связь, 1968. — 292 с. —
6,000 экз.
Публикации в журналах
Bernard Mayo on “Rules” of language
, Philosophical Studies, 3(2):33–36, April 1951 (review).
A Partial Model for Willard Van Orman Quine "New Foundations"
, The Journal of Symbolic Logic, Vol. 19, No. 3, pp. 197–200, September 1954
On the Consistency of an Axiom of Enumerability
, J. Symb. Log. 20(1):29–30, 1955
On queues with Poisson arrivals
, Ann. Math. Statist., vol. 28, pp. 670–677, 1956
On Trunks with Negative Exponential Holding Times Serving a Renewal Process
, Bell System Technical Journal, 37, pp. 211–258, 1958
Fluctuations of telephone traffic
, Bell System Technical Journal, 38, pp. 965–974, 1959
Transition probabilities for telephone traffic
, Bell System Technical Journal 38. pp. 211–258, 1959
A Sufficient Set of Statistics for a Simple Telephone Exchange Model
, Bell System Technical Journal, 38, pp. 939–964, 1959
General Stochastic Processes in Traffic Systems with One Server
, Bell System Technical Journal, 39, pp. 127–160, 1960
Transition Probabilities for Telephone Traffic
, Bell System Technical Journal, 39, pp. 1297–1320, 1960
Covariance function of simple trunk group, with applications to traffic measurement
, Bell System Technical Journal, 1961
Heuristic Remarks and Mathematical Problems Regarding the Theory of Switching Systems
, Bell System Technical Journal, vol. 41, pp. 1201–1247, 1962
On Rearrangeable Three-Stage Connecting Networks
, Bell System Technical Journal, vol. XLI, Sep. 1962, No. 5, pp. 1481–1491.
A "Renewal" Limit Theorem for General Stochastic processes
, Ann. Math. Statist. Volume 33, Number 1, 98–113, 1962
Growth, Complexity and Performance of Telephone Connecting Networks
, Bell System Technical Journal, Vol. 62, No. 3, pp. 499–539, February 1963,
Optimal Rearrangeable Multistage Connecting Networks
, Bell System Technical Journal, vol. 43, pp. 1641–1656, 1964
Permutation groups, complexes and rearrangeable connecting network
, Bell System Technical Journal, 43, 4:1619–1640, 1964.
Index Reduction of Frequency Modulation (FM) Waves by Feed-Back and Power-Law Nonlinearities
, Bell Labs Technical Journal, Vol.XLIV, No.4, pp. 581–601, April 1965
Programming and control problems arising from optimal routing in telephone networks
, Society for Industrial and Applied Mathematics (SIAM) Journal on Control, 4(??):6–18, 1966
Existence of finite invariant measures for Markov processes
, Proc. Amer.Math. Soc., 18:1058–1061, 1967.
On some proposed models for traffic in connecting networks
, Bell System Technical Journal, 46:105–116, 1967
Benes and Lawrence Shepp,
Wiener Integrals Associated with Diffusion processes
, Theory of Probability, 13, pages 498–501, 1968
Finite Regular Invariant Measures for William Feller Processes
, Journal of Applied Probability, Vol. 5, No. 1, pages 203–209, April 1968
Existence of optimal strategies based on specified information, for a class of stochastic decision problems
, Society for Industrial and Applied Mathematics (SIAM) Journal on Control, 8(??):179–188, 1970
Existence of optimal stochastic control laws
, Society for Industrial and Applied Mathematics (SIAM) Journal on Control 9(?):446–475, 1971
Applications of group theory to connecting networks
, Bell System Technical Journal, vol.45, pp. 407–420, 1975
Proving the rearrangeability of connecting networks by group calculations
, Bell System Technical Journal, vol.45, pp. 421–434, 1975
Full "bang" to reduce predicted miss is optimal
, Society for Industrial and Applied Mathematics (SIAM) Journal on Control, 15(?):52–83, 1976
On Thomas Kailath innovation conjecture
, Bell System Technical Journal 55:7, pp. 981–1001, 1976
Nonexistence of strong nonanticipating solutions to stochastic DEs: implications for functional DEs, filtering, and control.
Stochastic Processes Applied 5:3, 243–263., 1977
Reduction of network states under symmetries
, Bell System Technical Journal, 57(1):111–149, 1978
Benes, Lawrence Shepp and Hans S. Witsenhausen,
Some Solvable Stochastic Control Problems,
Stochastics 4, 39–83, 1980
Least-Squares Estimator for Frequency Shift Position Modulation in White Noise
, pp. 1289–1296, Sept. 1980
René K. Boell and V. E. Benes,
Recursive non-linear estimation of a diffusion acting as the rate of an observed Poisson process,
IEEE
Trans. Information Theory, vol. 26: (5), pp. 561–575, 1980.
Exact Finite Dimensional Filters for Certain Diffusions with Nonlinear Drift
, Stochastics, 5, pp. 65–92, 1981.
Benes and Ioannis Karatzas,
Estimation and control for linear, partially observable systems with non-gaussian initial distribution
, In Stochastic Processes & Applications, 14, pages 233–248, 1981
Benes and Karatzas,
On the relation of Zakai equation and Mortensen's equation
, Society for Industrial and Applied Mathematics (SIAM) Journal on Control and Optimization, 21 pp. 472–489, 1983
Benes and Karatzas,
Filtering of diffusions controlled through their conditional measures
, Stochastics, 13, pp. 1–23, 1984
R. A. Spanke and V. E. Benes,
N-stage planar optical permutation network
, Applied Optics 26, 1226–, 1987
Quadratic approximation by linear systems controlled from partial observations
, In Stochastic Analysis: Liber Amicorum for Moshe Zakai,
Academic Press
, 1991
Benes, Kurt Helmes and Raymond. W. Rishel,
Pursuing a maneuvering target which uses a random process for its control
,
IEEE
Trans. on Automatic Control, 40(2), 1995
Benes and Robert J. Elliott,
Finite dimensional risk sensitive information states
, I.F.A.C. Symposium on Nonlinear Control System Design, Lake Tahoe, CA, 471–476, June 1995
Benes and Robert J. Elliott,
Finite-dimensional solutions of a modified Zakai equation
,
Mathematics of Control, Signals, and Systems
, 9, 341–351, 1996
Nonlinear filtering and optimal quality control
, in Journal of Applied Mathematics and Stochastic Analysis, vol. 11, no. 3, pp. 225–230, 1998.
Примечания
от 2 сентября 2006 на
Wayback Machine
from the Mathematics Genealogy Project
14 февраля 2002 года.
13 августа 2007 года.
(неопр.)
. Дата обращения: 7 июля 2012. Архивировано из
14 декабря 2007 года.