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Volumn 7, Issue , 2002, Pages 1-19

Transience and non-explosion of certain stochastic Newtonian systems

Author keywords

L vy processes; Non explosion; Stochastic Newtonian systems; Transience; stable L vy processes

Indexed keywords


EID: 2942523571     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v7-118     Document Type: Article
Times cited : (7)

References (34)
  • 1
    • 0034413043 scopus 로고    scopus 로고
    • Longtime behaviour of stochastic Hamiltonian systems: The multidimensional case
    • S. ÀLBEYERIO, A. Klar, Longtime behaviour of stochastic Hamiltonian systems: The multidimensional case, Potential Anal. 12 (2000), 281-297.
    • (2000) Potential Anal , vol.12 , pp. 281-297
    • Àlbeyerio, S.1    Klar, A.2
  • 4
    • 0033413060 scopus 로고    scopus 로고
    • Estimates Uniform in Time for the Transition Probability of Diffusions with Small Drift and for Stochastically Perturbed Newton Equations
    • S. Albeverio, A. Hilbert, V. N. Kolokoltsov, Estimates Uniform in Time for the Transition Probability of Diffusions with Small Drift and for Stochastically Perturbed Newton Equations, J. Theor. Probab. 12 (1999), 293-300.
    • (1999) J. Theor. Probab , vol.12 , pp. 293-300
    • Albeverio, S.1    Hilbert, A.2    Kolokoltsov, V.N.3
  • 5
    • 0010887627 scopus 로고
    • Hamiltonian systems with a stochastic force: Nonlinear versus linear and a Girsanov formula
    • S. Albeverio, A. Hilbert, E. Zehnder, Hamiltonian systems with a stochastic force: nonlinear versus linear and a Girsanov formula, Stochastics and Stochastics Reports 39 (1992), 159-188.
    • (1992) Stochastics and Stochastics Reports , vol.39 , pp. 159-188
    • Albeverio, S.1    Hilbert, A.2    Zehnder, E.3
  • 6
    • 0031574851 scopus 로고    scopus 로고
    • The rate of escape for some Gaussian processes and the scattering theory for their small perturbations
    • S. Albeverio, V. N. Kolokoltsov, The rate of escape for some Gaussian processes and the scattering theory for their small perturbations, Stochastic Processes and their Applications 67 (1997), 139-159.
    • (1997) Stochastic Processes and Their Applications , vol.67 , pp. 139-159
    • Albeverio, S.1    Kolokoltsov, V.N.2
  • 11
    • 0038152499 scopus 로고    scopus 로고
    • Levy-type processes and pseudo-differential operators
    • Barndorff-Nielsen, O. E. et al. (eds.), Birkhauser, Boston
    • N. Jacob, R. L. Schilling, Levy-type processes and pseudo-differential operators, in: Barndorff-Nielsen, O. E. et al. (eds.) Lévy processes: Theory and Applications, Birkhauser, Boston (2001), 139-167.
    • (2001) Lévy Processes: Theory and Applications , pp. 139-167
    • Jacob, N.1    Schilling, R.L.2
  • 12
    • 22444455671 scopus 로고    scopus 로고
    • Chung’s law for integrated Brownian motion
    • D. Khoshnevisan, Z. Shi, Chung’s law for integrated Brownian motion, Trans. Am. Math. Soc. 350 (1998), 4253-4264.
    • (1998) Trans. Am. Math. Soc , vol.350 , pp. 4253-4264
    • Khoshnevisan, D.1    Shi, Z.2
  • 13
    • 0030188712 scopus 로고    scopus 로고
    • Stochastic Hamilton-Jacobi-Bellman equation and stochastic Hamiltonian systems
    • V. N. Kolokoltsov, Stochastic Hamilton-Jacobi-Bellman equation and stochastic Hamiltonian systems, J. Dyn. Control Syst. 2 (1996), 299-379.
    • (1996) J. Dyn. Control Syst , vol.2 , pp. 299-379
    • Kolokoltsov, V.N.1
  • 14
    • 0010724246 scopus 로고
    • Application of quasi-classical method to the investigation of the Belavkin quantum filtering equation
    • (English transl.: Math. Notes 50 (1991), 1204-1206.)
    • V. N. Kolokoltsov, Application of quasi-classical method to the investigation of the Belavkin quantum filtering equation, Mat. Zametki, 50 (1991), 153-156. (English transl.: Math. Notes 50 (1991), 1204-1206.)
    • (1991) Mat. Zametki , vol.50 , pp. 153-156
    • Kolokoltsov, V.N.1
  • 15
    • 0031518992 scopus 로고    scopus 로고
    • A note on the long time asymptotics of the Brownian motion with applications to the theory of quantum measurement
    • V. N. Kolokoltsov, A note on the long time asymptotics of the Brownian motion with applications to the theory of quantum measurement, Potential Anal. 7 (1997), 759-764.
    • (1997) Potential Anal , vol.7 , pp. 759-764
    • Kolokoltsov, V.N.1
  • 16
    • 0002512911 scopus 로고    scopus 로고
    • The stochastic HJB Equation and WKB Method
    • J. Gunawardena (ed.), Press, Cambridge
    • V. N. Kolokoltsov, The stochastic HJB Equation and WKB Method. In: J. Gunawardena (ed.), Idempotency, Cambridge Univ. Press, Cambridge 1998, 285-302.
    • (1998) Idempotency, Cambridge Univ , pp. 285-302
    • Kolokoltsov, V.N.1
  • 17
    • 0032344866 scopus 로고    scopus 로고
    • Localisation and analytic properties of the simplest quantum filtering equation
    • V. N. Kolokoltsov, Localisation and analytic properties of the simplest quantum filtering equation, Rev. Math. Phys. 10 (1998), 801-828.
    • (1998) Rev. Math. Phys , vol.10 , pp. 801-828
    • Kolokoltsov, V.N.1
  • 20
    • 4043151469 scopus 로고    scopus 로고
    • The rate of escape of a-stable Ornstein-Uhlenbeck processes
    • V. N. Kolokoltsov, A. E. Tyukov, The rate of escape of a-stable Ornstein-Uhlenbeck processes, Markov Process. Relat. Fields 7 (2001), 603-625.
    • (2001) Markov Process. Relat. Fields , vol.7 , pp. 603-625
    • Kolokoltsov, V.N.1    Tyukov, A.E.2
  • 21
    • 0000073325 scopus 로고
    • Ergodic properties of recurrent diffusion processes and stabilization of the solutions to the Cauchy problem for parabolic equations
    • R. Z. Khasminski, Ergodic properties of recurrent diffusion processes and stabilization of the solutions to the Cauchy problem for parabolic equations, Theor. Probab. Appl. 5 (1960), 179-195.
    • (1960) Theor. Probab. Appl , vol.5 , pp. 179-195
    • Khasminski, R.Z.1
  • 25
    • 0003430259 scopus 로고
    • Princton University Press, Mathematical Notes, Princeton, NJ
    • E. Nelson, Dynamical theories of Brownian motion, Princton University Press, Mathematical Notes, Princeton, NJ 1967.
    • (1967) Dynamical Theories of Brownian Motion
    • Nelson, E.1
  • 26
    • 10644288795 scopus 로고
    • The Smoluchowski-Kramers approximation for the stochastic Lienard equation with mean-field
    • K. Norita, The Smoluchowski-Kramers approximation for the stochastic Lienard equation with mean-field, Adv. Appl. Prob. 23 (1991), 303-316.
    • (1991) Adv. Appl. Prob , vol.23 , pp. 303-316
    • Norita, K.1
  • 27
    • 10644232056 scopus 로고
    • Asymptotic behavior of velocity process in the Smoluchowski-Kramers approximation for stochastic differential equations
    • K. Norita, Asymptotic behavior of velocity process in the Smoluchowski-Kramers approximation for stochastic differential equations, Adv. Appl. Prob. 23 (1991), 317-326.
    • (1991) Adv. Appl. Prob , vol.23 , pp. 317-326
    • Norita, K.1
  • 28
    • 0001070817 scopus 로고
    • Scaling limit for interacting Ornstein-Uhlenbeck processes
    • S. Olla, S. Varadhan, Scaling limit for interacting Ornstein-Uhlenbeck processes, Commun. Math. Phys. 135 (1991), 355-378.
    • (1991) Commun. Math. Phys , vol.135 , pp. 355-378
    • Olla, S.1    Varadhan, S.2
  • 29
    • 21344483632 scopus 로고
    • Hydrodynamical limit for a Hamiltonian system with weak noise
    • S. Olla, S. Varadhan, H. Yau, Hydrodynamical limit for a Hamiltonian system with weak noise, Commun. Math. Phys. 155 (1993), 523-560.
    • (1993) Commun. Math. Phys , vol.155 , pp. 523-560
    • Olla, S.1    Varadhan, S.2    Yau, H.3
  • 30
    • 32844470231 scopus 로고
    • Stochastic Integration and Differential Equations
    • Berlin
    • P. Protter, Stochastic Integration and Differential Equations, Springer, Appl. Math. vol. 21, Berlin 1990.
    • (1990) Springer, Appl. Math , vol.21
    • Protter, P.1
  • 31
    • 0032286130 scopus 로고    scopus 로고
    • Growth and Holder conditions for the sample paths of Feller processes
    • R.L. Schilling, Growth and Holder conditions for the sample paths of Feller processes, Probab. Theor. Relat. Fields 112 (1998), 565-611.
    • (1998) Probab. Theor. Relat. Fields , vol.112 , pp. 565-611
    • Schilling, R.L.1
  • 33
    • 0005222513 scopus 로고
    • Etheridge (ed.),, Cambridge Univ. Press, LMS Lecture Notes 276, Cambridge
    • Etheridge (ed.), Stochastic Partial Differential Equations, Cambridge Univ. Press, LMS Lecture Notes 276, Cambridge 1995, 287-303.
    • (1995) Stochastic Partial Differential Equations , pp. 287-303
  • 34
    • 0002330567 scopus 로고    scopus 로고
    • The stochastic Hamilton-Jacobi equation, stochastic heat equation and Schrodinger equations
    • A. Truman, I.M. Davis, K.D. Elworthy (eds.), World Scientific, Singapore
    • A. Truman, H. Zhao, The stochastic Hamilton-Jacobi equation, stochastic heat equation and Schrodinger equations. In: A. Truman, I.M. Davis, K.D. Elworthy (eds.), Stochastic Analysis and Applications, World Scientific, Singapore 1996, 441-464.
    • (1996) Stochastic Analysis and Applications , pp. 441-464
    • Truman, A.1    Zhao, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.