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Volumn 44, Issue 2, 1999, Pages 319-332

Maslov idempotent probability calculus. II

Author keywords

Bellman Maslov processes; Hamilton Jacobi equations; Idempotent calculus; Mathematical morphology

Indexed keywords


EID: 0033622227     PISSN: 0040585X     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0040585x97977598     Document Type: Article
Times cited : (12)

References (32)
  • 2
    • 0003252981 scopus 로고    scopus 로고
    • Duality between probability and optimization
    • J. Gunawardena, ed., Cambridge University Press, Cambridge, UK
    • M. AKIAN, J. P. QUADRAT, AND M. VIOT, Duality between probability and optimization, in Idempotency, J. Gunawardena, ed., Cambridge University Press, Cambridge, UK, 1998, pp. 331-353.
    • (1998) Idempotency , pp. 331-353
    • Akian, M.1    Quadrat, J.P.2    Viot, M.3
  • 6
    • 0028712007 scopus 로고
    • Evolution equations for continuous-scale morphological filtering
    • R. W. BROCKETT AND P. MARAGOS, Evolution equations for continuous-scale morphological filtering, IEEE Trans. Signal Process., 42 (1994).
    • (1994) IEEE Trans. Signal Process. , vol.42
    • Brockett, R.W.1    Maragos, P.2
  • 8
    • 84967708673 scopus 로고
    • User's guide, to viscosity solutions of second order partial differential equations
    • M. G. CRANDALL, H. ISHII, AND P. L. LIONS, User's guide, to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc., 27 (1992), pp. 1-67.
    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 9
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations
    • M. G. CRANDALL AND P. L. LIONS, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., 277 (1983), pp. 1-42.
    • (1983) Trans. Amer. Math. Soc. , vol.277 , pp. 1-42
    • Crandall, M.G.1    Lions, P.L.2
  • 11
    • 0001732064 scopus 로고    scopus 로고
    • preprint, Publications du Laboratoire de Statistiques et Probabilites No. 2-99, Toulouse III
    • P. DEL MORAL AND M. DOISY, On the Applications of Maslov Optimization Theory, preprint, Publications du Laboratoire de Statistiques et Probabilites No. 2-99, Toulouse III, 1999.
    • (1999) On the Applications of Maslov Optimization Theory
    • Del Moral, P.1    Doisy, M.2
  • 12
    • 0001929280 scopus 로고    scopus 로고
    • Maslov optimization theory: Optimality versus randomness
    • V. N. Kolokoltsov and V. P. Maslov, eds., Kluwer, Dordrecht, appendix
    • P. DEL MORAL, Maslov optimization theory: Optimality versus randomness, in Idempotency Analysis and Its Applications, V. N. Kolokoltsov and V. P. Maslov, eds., Kluwer, Dordrecht, 1997, appendix.
    • (1997) Idempotency Analysis and Its Applications
    • Del Moral, P.1
  • 14
    • 0001901804 scopus 로고    scopus 로고
    • Maslov optimization theory: Topological aspects
    • J. Gunawardena, ed., Cambridge University Press, Cambridge, UK
    • P. DEL MORAL, Maslov optimization theory: Topological aspects, in Idempotency, J. Gunawardena, ed., Cambridge University Press, Cambridge, UK, 1998, pp. 354-382.
    • (1998) Idempotency , pp. 354-382
    • Del Moral, P.1
  • 15
    • 0001710096 scopus 로고    scopus 로고
    • Random particle methods in (max, +)-optimization problems
    • J. Gunawardena, ed., Cambridge University Press, Cambridge, UK
    • P. DEL MORAL AND G. SALUT, Random particle methods in (max, +)-optimization problems, in Idempotency, J. Gunawardena, ed., Cambridge University Press, Cambridge, UK, 1998, pp. 383-391.
    • (1998) Idempotency , pp. 383-391
    • Del Moral, P.1    Salut, G.2
  • 17
    • 0032656374 scopus 로고    scopus 로고
    • On the convergence and applications of generalized simulated annealing
    • P. DEL MORAL AND L. MICLO, On the convergence and applications of generalized simulated annealing, SIAM J. Control Optim., 37 (1999), pp. 1222-1250.
    • (1999) SIAM J. Control Optim. , vol.37 , pp. 1222-1250
    • Del Moral, P.1    Miclo, L.2
  • 18
    • 0001710101 scopus 로고
    • Endomorphisms of semimodules over semirings with an idempotent operation
    • in Russian
    • P. I. DUDNIKOV AND S. N. SAMBORSKII, Endomorphisms of semimodules over semirings with an idempotent operation, Izv. Akad. Nauk SSSR Ser. Math., 55 (1991), pp. 93-109 (in Russian); Math. USSR-Izv., 38 (1992), pp. 91-105 (in English).
    • (1991) Izv. Akad. Nauk SSSR Ser. Math. , vol.55 , pp. 93-109
    • Dudnikov, P.I.1    Samborskii, S.N.2
  • 19
    • 0003184343 scopus 로고
    • in English
    • P. I. DUDNIKOV AND S. N. SAMBORSKII, Endomorphisms of semimodules over semirings with an idempotent operation, Izv. Akad. Nauk SSSR Ser. Math., 55 (1991), pp. 93-109 (in Russian); Math. USSR-Izv., 38 (1992), pp. 91-105 (in English).
    • (1992) Math. USSR-Izv. , vol.38 , pp. 91-105
  • 20
    • 0025573319 scopus 로고
    • The algebraic basis of mathematical morphology. I. Dilations and erosions
    • H. J. A. HEIJMANS, The algebraic basis of mathematical morphology. I. Dilations and erosions, Comput. Vision Graphics Image Process., 50 (1990), pp. 245-295.
    • (1990) Comput. Vision Graphics Image Process. , vol.50 , pp. 245-295
    • Heijmans, H.J.A.1
  • 21
    • 0039928895 scopus 로고
    • Semiring analogs of linear equivalent spaces
    • Geometry, Kemerovo, in Russian
    • V. N. KOLOKOLTSOV, Semiring analogs of linear equivalent spaces, Abstract in Proceeding of Conf. on Optimal Control, Geometry, Kemerovo, 1988, p. 30 (in Russian).
    • (1988) Proceeding of Conf. on Optimal Control , pp. 30
    • Kolokoltsov, V.N.1
  • 22
    • 0002512911 scopus 로고    scopus 로고
    • The stochastic HJB equation and WKB method
    • J. Gunawardena, ed., Cambridge University Press
    • V. N. KOLOKOLTSOV, The stochastic HJB equation and WKB method, in Idempotency, J. Gunawardena, ed., Cambridge University Press, 1998, pp. 285-302.
    • (1998) Idempotency , pp. 285-302
    • Kolokoltsov, V.N.1
  • 23
    • 0010171209 scopus 로고
    • Idempotent analysis as a technique of the theory of control and optimal synthesis. Part I
    • V. N. KOLOKOLTSOV AND V. P. MASLOV, Idempotent analysis as a technique of the theory of control and optimal synthesis. Part I, Funct. Anal. Appl., 23 (1989), pp. 1-14.
    • (1989) Funct. Anal. Appl. , vol.23 , pp. 1-14
    • Kolokoltsov, V.N.1    Maslov, V.P.2
  • 24
    • 0001965402 scopus 로고
    • The general form of endomorphisms in the space of continuous functions with values in a numerical semiring with idempotent addition
    • V. N. KOLOKOLTSOV AND V. P. MASLOV, The general form of endomorphisms in the space of continuous functions with values in a numerical semiring with idempotent addition, Soviet Math. Dokl., 36 (1988), pp. 55-59.
    • (1988) Soviet Math. Dokl. , vol.36 , pp. 55-59
    • Kolokoltsov, V.N.1    Maslov, V.P.2
  • 25
    • 0001733998 scopus 로고    scopus 로고
    • The correspondence principle for idempotent calculus and some computer applications
    • J. Gunawardena, ed., Cambridge University Press, Cambridge, UK
    • G. LITVINOV AND V. P. MASLOV, The correspondence principle for idempotent calculus and some computer applications, in Idempotency, J. Gunawardena, ed., Cambridge University Press, Cambridge, UK, 1998, pp. 420-443.
    • (1998) Idempotency , pp. 420-443
    • Litvinov, G.1    Maslov, V.P.2
  • 27
    • 27544513509 scopus 로고
    • Quasilinear systems which are linear in some semimoduli
    • 13-17 Janvier Saint Etienne, France
    • V. P. MASLOV, Quasilinear systems which are linear in some semimoduli, in Congrès international sur les problèmes hyperboliques, 13-17 Janvier 1986, Saint Etienne, France.
    • (1986) Congrès International sur les Problèmes Hyperboliques
    • Maslov, V.P.1
  • 29
    • 0001794899 scopus 로고
    • Stationary Hamilton-Jacobi and Bellman equations
    • V. P. Maslov and S. N. Samborskii, eds., AMS, Providence, RI
    • V. P. MASLOV AN S. N. SAMBORSKII, Stationary Hamilton-Jacobi and Bellman equations, in Idempotent Analysis, V. P. Maslov and S. N. Samborskii, eds., AMS, Providence, RI, 1992, pp. 119-133.
    • (1992) Idempotent Analysis , pp. 119-133
    • Maslov, V.P.1    Samborskii, S.N.2
  • 30
    • 0041898692 scopus 로고
    • Recuit simulé sans potentiel sur un ensemble fini
    • Lecture Notes in Math. 1526, Springer-Verlag, New York
    • L. MICLO, Recuit simulé sans potentiel sur un ensemble fini, in Séminaire de Probabilités XXVI, Lecture Notes in Math. 1526, Springer-Verlag, New York, 1992, pp. 47-60.
    • (1992) Séminaire de Probabilités , vol.26 , pp. 47-60
    • Miclo, L.1
  • 31
    • 0001234630 scopus 로고
    • Théorèmes asymptotiques en programmation dynamique
    • J. P. QUADRAT, Théorèmes asymptotiques en programmation dynamique, C. R. Acad. Sci. Paris Sér. I Math., 311 (1990), pp. 745-748.
    • (1990) C. R. Acad. Sci. Paris Sér. I Math. , vol.311 , pp. 745-748
    • Quadrat, J.P.1


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