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## Fukushima, Masatoshi

Compute Distance To:
 Author ID: fukushima.masatoshi Published as: Fukushima, Masatoshi; Fukushima, M. External Links: MGP · GND
 Documents Indexed: 115 Publications since 1964, including 10 Books Biographic References: 3 Publications
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#### Co-Authors

 58 single-authored 15 Chen, Zhen-Qing 6 Ying, Jiangang 5 Oshima, Yoichi 5 Takeda, Masayoshi 4 Albeverio, Sergio A. 4 Uemura, Toshihiro 3 Nakao, Shintaro 3 Röckner, Michael 3 Shima, Tadashi 3 Tomisaki, Matsuyo 3 Watanabe, Shinzo 2 Hansen, Wolfhard 2 Kaneko, Hiroshi 2 Ma, Zhi-Ming 2 Okada, Masami 2 Shigekawa, Ichiro 2 Shiryaev, Al’bert Nikolaevich 1 Fang, Zing 1 He, Ping 1 Hino, Masanori 1 Hitsuda, Masuyuki 1 Ikeda, Nobuyuki 1 Jacob, Niels 1 Karwowski, Witold 1 Korolyuk, Volodymyr Semenovych 1 Kotani, Shinichi 1 Kunita, Hiroshi 1 Le Jan, Yves 1 Nagai, Hideo 1 Prokhorov, Yuriĭ Vasil’evich 1 Rohde, Steffen 1 Sato, Ken-iti 1 Streit, Ludwig 1 Stroock, Daniel W. 1 Suzuki, Hiroyuki 1 Taksar, Michael I. 1 Tanaka, Hiroshi L. 1 Taniguchi, Setsuo
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#### Serials

 8 Osaka Journal of Mathematics 8 Potential Analysis 5 Journal of Functional Analysis 5 Journal of the Mathematical Society of Japan 4 Stochastic Processes and their Applications 3 The Annals of Probability 3 Journal of Mathematics of Kyoto University 3 Nagoya Mathematical Journal 3 Transactions of the American Mathematical Society 3 Proceedings of the Japan Academy 2 Communications in Mathematical Physics 2 Proceedings of the American Mathematical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Probability Theory and Related Fields 2 Sugaku Expositions 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 De Gruyter Studies in Mathematics 1 Acta Mathematica 1 Illinois Journal of Mathematics 1 Mathematische Annalen 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Control and Optimization 1 Sūgaku 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Electronic Journal of Probability 1 Oberwolfach Reports 1 Lecture Notes in Mathematics 1 North-Holland Mathematical Library 1 London Mathematical Society Monographs Series 1 RIMS Kôkyûroku Bessatsu 1 Japanese Journal of Mathematics. 3rd Series
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#### Fields

 103 Probability theory and stochastic processes (60-XX) 53 Potential theory (31-XX) 8 Operator theory (47-XX) 7 General and overarching topics; collections (00-XX) 5 Functions of a complex variable (30-XX) 5 Functional analysis (46-XX) 4 Partial differential equations (35-XX) 3 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

91 Publications have been cited 2,186 times in 1,573 Documents Cited by Year
Dirichlet forms and symmetric Markov processes. Zbl 0838.31001
Fukushima, Masatoshi; Oshima, Yoichi; Takeda, Masayoshi
1994
Dirichlet forms and Markov processes. Zbl 0422.31007
Fukushima, Masatoshi
1980
Dirichlet forms and symmetric Markov processes. 2nd revised and extended ed. Zbl 1227.31001
Fukushima, Masatoshi; Oshima, Yoichi; Takeda, Masayoshi
2011
On a spectral analysis for the Sierpiński gasket. Zbl 1081.31501
Fukushima, M.; Shima, T.
1992
Symmetric Markov processes, time change, and boundary theory. Zbl 1253.60002
Chen, Zhen-Qing; Fukushima, Masatoshi
2012
On the closable parts of pre-Dirichlet forms and the fine supports of underlying measures. Zbl 0756.60071
Fukushima, Masatoshi; Sato, Ken-iti; Taniguchi, Setsuo
1991
On the space of BV functions and a related stochastic calculus in infinite dimensions. Zbl 0993.60049
Fukushima, Masatoshi; Hino, Masanori
2001
BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space. Zbl 0978.60088
Fukushima, Masatoshi
2000
On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities. Zbl 0181.20903
Fukushima, M.
1969
Regular representations of Dirichlet spaces. Zbl 0248.31007
Fukushima, Masatoshi
1971
Dirichlet spaces and strong Markov processes. Zbl 0254.60055
Fukushima, Masatoshi
1972
A construction of reflecting barrier Brownian motions for bounded domains. Zbl 0317.60033
Fukushima, Masatoshi
1967
Dirichlet forms, diffusion processes and spectral dimensions. Zbl 0764.60081
Fukushima, Masatoshi
1992
On the spectral distribution of a disordered system and the range of a random walk. Zbl 0366.60099
Fukushima, Masatoshi
1974
On spectra of the Schrödinger operator with a white Gaussian noise potential. Zbl 0361.60044
Fukushima, Masatoshi; Nakao, Shintaro
1977
Basic properties of Brownian motion and a capacity on the Wiener space. Zbl 0522.60081
Fukushima, Masatoshi
1984
Construction and decomposition of reflecting diffusions on Lipschitz domains with Hölder cusps. Zbl 0867.60047
Fukushima, Masatoshi; Tomisaki, Matsuyo
1996
On semi-martingale characterizations of functionals of symmetric Markov processes. Zbl 0936.60067
Fukushima, Masatoshi
1999
Reversibility of solutions to martingale problems. Zbl 0613.60066
Fukushima, M.; Stroock, D.
1986
A transformation of a symmetric Markov process and the Donsker-Varadhan theory. Zbl 0542.60077
Fukushima, Masatoshi; Takeda, Masayoshi
1984
Traces of symmetric Markov processes and their characterizations. Zbl 1103.60067
Chen, Zhen-Qing; Fukushima, Masatoshi; Ying, Jiangang
2006
(r,p)-capacities for general Markovian semigroups. Zbl 0573.60069
Fukushima, M.; Kaneko, K.
1985
Jump-type Hunt processes generated by lower bounded semi-Dirichlet forms. Zbl 1247.60122
Fukushima, Masatoshi; Uemura, Toshihiro
2012
Capacitary bounds of measures and ultracontractivity of time changed processes. Zbl 1027.60086
Fukushima, Masatoshi; Uemura, Toshihiro
2003
On the generation of Markov processes by symmetric forms. Zbl 0262.60054
Fukushima, Masatoshi
1973
On Sobolev and capacitary inequalities for contractive Besov spaces over $$d$$-sets. Zbl 1017.31005
Fukushima, Masatoshi; Uemura, Toshihiro
2003
One-point reflection. Zbl 1327.60151
Chen, Zhen-Qing; Fukushima, Masatoshi
2015
Almost polar sets and an ergodic theorem. Zbl 0266.60057
Fukushima, M.
1974
On the skew product of symmetric diffusion processes. Zbl 0656.60083
Fukushima, Masatoshi; Oshima, Yoichi
1989
On regular Dirichlet subspaces of $$H^1(I)$$ and associated linear diffusions. Zbl 1068.60093
Fang, Zing; Fukushima, Masatoshi; Ying, Jiangang
2005
Chordal Komatu-Loewner equation and Brownian motion with darning in multiply connected domains. Zbl 1374.60123
Chen, Zhen-Qing; Fukushima, Masatoshi; Rohde, Steffen
2016
Poisson point processes attached to symmetric diffusions. Zbl 1083.60065
Fukushima, Masatoshi; Tanaka, Hiroshi
2005
On a decomposition of additive functionals in the strict sense for a symmetric Markov process. Zbl 0842.60074
Fukushima, Masatoshi
1995
Energy forms and diffusion processes. Zbl 0676.60071
Fukushima, Masatoshi
1985
On general boundary conditions for one-dimensional diffusions with symmetry. Zbl 1296.60211
Fukushima, Masatoshi
2014
On a class of Markov processes taking values on lines and the central limit theorem. Zbl 0178.20603
Fukushima, M.; Hitsuda, M.
1967
On Dirichlet forms for plurisubharmonic functions. Zbl 0637.32013
1987
Reflecting diffusions on Lipschitz domains with cusps – analytic construction and Skorohod representation. Zbl 0840.60070
Fukushima, Masatoshi; Tomisaki, Matsuyo
1995
On conformal martingale diffusions and pluripolar sets. Zbl 0537.60082
1984
Capacity and quantum mechanical tunneling. Zbl 0487.60066
Albeverio, S.; Fukushima, M.; Karwowski, W.; Streit, L.
1981
A note on irreducibility and ergodicity of symmetric Markov processes. Zbl 0506.60075
Fukushima, M.
1982
Entrance law, exit system and Lévy system of time changed processes. Zbl 1098.60076
Chen, Zhen-Qing; Fukushima, Masatoshi; Ying, Jiangang
2006
An invariance result for capacities on Wiener space. Zbl 0786.31008
Albeverio, S.; Fukushima, M.; Hansen, W.; Ma, Z. M.; Röckner, M.
1992
On absolute continuity of multidimensional symmetrizable diffusions. Zbl 0485.60075
Fukushima, M.
1982
On an asymptotic property of spectra of a random difference operator. Zbl 0333.35027
Fukushima, Masatoshi; Nagai, Hideo; Nakao, Shintaro
1975
On an $$L^p$$-estimate of resolvents of Markov processes. Zbl 0368.60084
Fukushima, Masatoshi
1977
Stochastic Komatu-Loewner evolutions and BMD domain constant. Zbl 1380.60076
Chen, Zhen-Qing; Fukushima, Masatoshi
2018
A decomposition of additive functionals of finite energy. Zbl 0418.60081
Fukushima, Masatoshi
1979
Extending Markov processes in weak duality by Poisson point processes of excursions. Zbl 1138.60050
Chen, Zhen-Qing; Fukushima, Masatoshi; Ying, Jiangang
2007
From one dimensional diffusions to symmetric Markov processes. Zbl 1221.60113
Fukushima, Masatoshi
2010
On Villat’s kernels and BMD Schwarz kernels in Komatu-Loewner equations. Zbl 1388.60142
Fukushima, Masatoshi; Kaneko, Hiroshi
2014
One-point extensions of Markov processes by darning. Zbl 1147.60051
Chen, Zhen-Qing; Fukushima, Masatoshi
2008
On Feller’s kernel and the Dirichlet norm. Zbl 0143.19502
Fukushima, M.
1964
On transition probabilities of symmetric strong Markov processes. Zbl 0255.60051
Fukushima, Masatoshi
1972
On a strict decomposition of additive functionals for symmetric diffusion processes. Zbl 0820.60059
Fukushima, Masatoshi
1994
Local property of Dirichlet forms and continuity of sample paths. Zbl 0283.60067
Fukushima, Masatoshi
1974
A note on capacities in infinite dimensions. Zbl 0637.60088
Fukushima, Masatoshi
1988
On quasi-supports of smooth measures and closability of pre-Dirichlet forms. Zbl 0766.31008
Fukushima, Masatoshi; Lejan, Yves
1991
Time changes of symmetric diffusions and Feller measures. Zbl 1076.60063
Fukushima, Masatoshi; He, Ping; Ying, Jiangang
2004
Stochastic Komatu-Loewner evolutions and SLEs. Zbl 1370.60140
Chen, Zhen-Qing; Fukushima, Masatoshi; Suzuki, Hiroyuki
2017
Dynkin games via Dirichlet forms and singular control of one-dimensional diffusions. Zbl 1028.31006
Fukushima, Masatoshi; Taksar, Michael
2002
On recurrence criteria in the Dirichlet space theory. Zbl 0613.60067
Fukushima, M.
1986
Capacities on Wiener space: Tightness and invariance. Zbl 0744.46031
Albeverio, Sergio; Fukushima, Masatoshi; Hansen, Wolfhard; Ma, Zhi-Ming; Röckner, Michael
1991
Potential theory of symmetric Markov processes and its applications. Zbl 0349.60077
Fukushima, M.
1976
On Feller’s boundary problem for Markov processes in weak duality. Zbl 1129.60072
Chen, Zhen-Qing; Fukushima, Masatoshi
2007
On Dirichlet spaces and Dirichlet rings. Zbl 0183.13802
Fukushima, M.
1969
On the continuity of plurisubharmonic functions along conformal diffusions. Zbl 0614.60044
Fukushima, Masatoshi
1986
Capacitary maximal inequalities and an ergodic theorem. Zbl 0522.60080
Fukushima, Masatoshi
1983
Large deviations and related LIL’s for Brownian motions on nested fractals. Zbl 0957.60033
Fukushima, Masatoshi; Shima, Tadashi; Takeda, Masayoshi
1999
On $$(r,2)$$-capacities for a class of elliptic pseudo differential operators. Zbl 0736.60070
Fukushima, M.; Jacob, N.; Kaneko, H.
1992
On unique extension of time changed reflecting Brownian motions. Zbl 1189.60141
Chen, Zhen-Qing; Fukushima, Masatoshi
2009
A note on regular Dirichlet subspaces. Zbl 1007.60076
Fukushima, Masatoshi; Ying, Jiangang
2003
A stochastic approach to the minimum principle for the complex Monge- Ampère operator. Zbl 0604.31006
Fukushima, M.
1986
Two topics related to Dirichlet forms: Quasi everywhere convergences and additive functionals. Zbl 0810.47035
Fukushima, Masatoshi
1993
On Dirichlet forms with random data-recurrence and homogenization. Zbl 0629.60085
Fukushima, M.; Nakao, S.; Takeda, M.
1987
Itô’s stochastic calculus and probability theory. Tribute dedicated to Kiyosi Itô on the occasion of his 80th birthday. Zbl 0852.00016
Ikeda, N. (ed.); Watanabe, S. (ed.); Fukushima, M. (ed.); Kunita, H. (ed.)
1996
On discontinuity and tail behaviours of the integrated density of states for nested pre-fractals. Zbl 0798.58049
1994
Recurrent Dirichlet forms and Markov property of associated Gaussian fields. Zbl 1409.60117
Fukushima, Masatoshi; Oshima, Yoichi
2018
On holomorphic diffusions and plurisubharmonic functions. Zbl 0658.60105
Fukushima, Masatoshi
1988
Distorted Brownian motions and BV functions. Zbl 0996.60092
Fukushima, Masatoshi
1997
On spectral synthesis for contractive $$p$$-norms and Besov spaces. Zbl 1045.31003
Fukushima, Masatoshi; Uemura, Toshihiro
2004
$$(r,p)$$-capacities and Hunt processes in infinite dimensions. Zbl 0817.60082
Fukushima, Masatoshi
1992
A Dirichlet form on the Wiener space and properties on Brownian motion. Zbl 0569.31008
Fukushima, Masatoshi
1984
Fukushima, Masatoshi
1979
On a representation of local martingale additive functionals of symmetric diffusions. Zbl 0457.60048
Fukushima, M.
1981
Dirichlet spaces and additive functionals of finite energy. Zbl 0461.60087
Fukushima, M.
1980
Markov processes and functional analysis. Zbl 0506.60074
Fukushima, Masatoshi
1982
On extended Dirichlet spaces and the space of BL functions. Zbl 1199.31019
Fukushima, Masatoshi
2008
A localization formula in Dirichlet form theory. Zbl 1245.60070
Chen, Zhen-Qing; Fukushima, Masatoshi
2012
Dirichlet forms, Caccioppoli sets and the Skorohod equation. Zbl 0885.60064
Fukushima, Masatoshi
1997
Logarithmic and linear potentials of signed measures and Markov property of associated Gaussian fields. Zbl 1421.31007
Fukushima, Masatoshi
2018
Stochastic Komatu-Loewner evolutions and BMD domain constant. Zbl 1380.60076
Chen, Zhen-Qing; Fukushima, Masatoshi
2018
Recurrent Dirichlet forms and Markov property of associated Gaussian fields. Zbl 1409.60117
Fukushima, Masatoshi; Oshima, Yoichi
2018
Logarithmic and linear potentials of signed measures and Markov property of associated Gaussian fields. Zbl 1421.31007
Fukushima, Masatoshi
2018
Stochastic Komatu-Loewner evolutions and SLEs. Zbl 1370.60140
Chen, Zhen-Qing; Fukushima, Masatoshi; Suzuki, Hiroyuki
2017
Chordal Komatu-Loewner equation and Brownian motion with darning in multiply connected domains. Zbl 1374.60123
Chen, Zhen-Qing; Fukushima, Masatoshi; Rohde, Steffen
2016
One-point reflection. Zbl 1327.60151
Chen, Zhen-Qing; Fukushima, Masatoshi
2015
On general boundary conditions for one-dimensional diffusions with symmetry. Zbl 1296.60211
Fukushima, Masatoshi
2014
On Villat’s kernels and BMD Schwarz kernels in Komatu-Loewner equations. Zbl 1388.60142
Fukushima, Masatoshi; Kaneko, Hiroshi
2014
Symmetric Markov processes, time change, and boundary theory. Zbl 1253.60002
Chen, Zhen-Qing; Fukushima, Masatoshi
2012
Jump-type Hunt processes generated by lower bounded semi-Dirichlet forms. Zbl 1247.60122
Fukushima, Masatoshi; Uemura, Toshihiro
2012
A localization formula in Dirichlet form theory. Zbl 1245.60070
Chen, Zhen-Qing; Fukushima, Masatoshi
2012
Dirichlet forms and symmetric Markov processes. 2nd revised and extended ed. Zbl 1227.31001
Fukushima, Masatoshi; Oshima, Yoichi; Takeda, Masayoshi
2011
From one dimensional diffusions to symmetric Markov processes. Zbl 1221.60113
Fukushima, Masatoshi
2010
On unique extension of time changed reflecting Brownian motions. Zbl 1189.60141
Chen, Zhen-Qing; Fukushima, Masatoshi
2009
One-point extensions of Markov processes by darning. Zbl 1147.60051
Chen, Zhen-Qing; Fukushima, Masatoshi
2008
On extended Dirichlet spaces and the space of BL functions. Zbl 1199.31019
Fukushima, Masatoshi
2008
Extending Markov processes in weak duality by Poisson point processes of excursions. Zbl 1138.60050
Chen, Zhen-Qing; Fukushima, Masatoshi; Ying, Jiangang
2007
On Feller’s boundary problem for Markov processes in weak duality. Zbl 1129.60072
Chen, Zhen-Qing; Fukushima, Masatoshi
2007
Traces of symmetric Markov processes and their characterizations. Zbl 1103.60067
Chen, Zhen-Qing; Fukushima, Masatoshi; Ying, Jiangang
2006
Entrance law, exit system and Lévy system of time changed processes. Zbl 1098.60076
Chen, Zhen-Qing; Fukushima, Masatoshi; Ying, Jiangang
2006
On regular Dirichlet subspaces of $$H^1(I)$$ and associated linear diffusions. Zbl 1068.60093
Fang, Zing; Fukushima, Masatoshi; Ying, Jiangang
2005
Poisson point processes attached to symmetric diffusions. Zbl 1083.60065
Fukushima, Masatoshi; Tanaka, Hiroshi
2005
Time changes of symmetric diffusions and Feller measures. Zbl 1076.60063
Fukushima, Masatoshi; He, Ping; Ying, Jiangang
2004
On spectral synthesis for contractive $$p$$-norms and Besov spaces. Zbl 1045.31003
Fukushima, Masatoshi; Uemura, Toshihiro
2004
Capacitary bounds of measures and ultracontractivity of time changed processes. Zbl 1027.60086
Fukushima, Masatoshi; Uemura, Toshihiro
2003
On Sobolev and capacitary inequalities for contractive Besov spaces over $$d$$-sets. Zbl 1017.31005
Fukushima, Masatoshi; Uemura, Toshihiro
2003
A note on regular Dirichlet subspaces. Zbl 1007.60076
Fukushima, Masatoshi; Ying, Jiangang
2003
Dynkin games via Dirichlet forms and singular control of one-dimensional diffusions. Zbl 1028.31006
Fukushima, Masatoshi; Taksar, Michael
2002
On the space of BV functions and a related stochastic calculus in infinite dimensions. Zbl 0993.60049
Fukushima, Masatoshi; Hino, Masanori
2001
BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space. Zbl 0978.60088
Fukushima, Masatoshi
2000
On semi-martingale characterizations of functionals of symmetric Markov processes. Zbl 0936.60067
Fukushima, Masatoshi
1999
Large deviations and related LIL’s for Brownian motions on nested fractals. Zbl 0957.60033
Fukushima, Masatoshi; Shima, Tadashi; Takeda, Masayoshi
1999
Distorted Brownian motions and BV functions. Zbl 0996.60092
Fukushima, Masatoshi
1997
Dirichlet forms, Caccioppoli sets and the Skorohod equation. Zbl 0885.60064
Fukushima, Masatoshi
1997
Construction and decomposition of reflecting diffusions on Lipschitz domains with Hölder cusps. Zbl 0867.60047
Fukushima, Masatoshi; Tomisaki, Matsuyo
1996
Itô’s stochastic calculus and probability theory. Tribute dedicated to Kiyosi Itô on the occasion of his 80th birthday. Zbl 0852.00016
Ikeda, N.; Watanabe, S.; Fukushima, M.; Kunita, H.
1996
On a decomposition of additive functionals in the strict sense for a symmetric Markov process. Zbl 0842.60074
Fukushima, Masatoshi
1995
Reflecting diffusions on Lipschitz domains with cusps – analytic construction and Skorohod representation. Zbl 0840.60070
Fukushima, Masatoshi; Tomisaki, Matsuyo
1995
Dirichlet forms and symmetric Markov processes. Zbl 0838.31001
Fukushima, Masatoshi; Oshima, Yoichi; Takeda, Masayoshi
1994
On a strict decomposition of additive functionals for symmetric diffusion processes. Zbl 0820.60059
Fukushima, Masatoshi
1994
On discontinuity and tail behaviours of the integrated density of states for nested pre-fractals. Zbl 0798.58049
1994
Two topics related to Dirichlet forms: Quasi everywhere convergences and additive functionals. Zbl 0810.47035
Fukushima, Masatoshi
1993
On a spectral analysis for the Sierpiński gasket. Zbl 1081.31501
Fukushima, M.; Shima, T.
1992
Dirichlet forms, diffusion processes and spectral dimensions. Zbl 0764.60081
Fukushima, Masatoshi
1992
An invariance result for capacities on Wiener space. Zbl 0786.31008
Albeverio, S.; Fukushima, M.; Hansen, W.; Ma, Z. M.; Röckner, M.
1992
On $$(r,2)$$-capacities for a class of elliptic pseudo differential operators. Zbl 0736.60070
Fukushima, M.; Jacob, N.; Kaneko, H.
1992
$$(r,p)$$-capacities and Hunt processes in infinite dimensions. Zbl 0817.60082
Fukushima, Masatoshi
1992
On the closable parts of pre-Dirichlet forms and the fine supports of underlying measures. Zbl 0756.60071
Fukushima, Masatoshi; Sato, Ken-iti; Taniguchi, Setsuo
1991
On quasi-supports of smooth measures and closability of pre-Dirichlet forms. Zbl 0766.31008
Fukushima, Masatoshi; Lejan, Yves
1991
Capacities on Wiener space: Tightness and invariance. Zbl 0744.46031
Albeverio, Sergio; Fukushima, Masatoshi; Hansen, Wolfhard; Ma, Zhi-Ming; Röckner, Michael
1991
On the skew product of symmetric diffusion processes. Zbl 0656.60083
Fukushima, Masatoshi; Oshima, Yoichi
1989
A note on capacities in infinite dimensions. Zbl 0637.60088
Fukushima, Masatoshi
1988
On holomorphic diffusions and plurisubharmonic functions. Zbl 0658.60105
Fukushima, Masatoshi
1988
On Dirichlet forms for plurisubharmonic functions. Zbl 0637.32013
1987
On Dirichlet forms with random data-recurrence and homogenization. Zbl 0629.60085
Fukushima, M.; Nakao, S.; Takeda, M.
1987
Reversibility of solutions to martingale problems. Zbl 0613.60066
Fukushima, M.; Stroock, D.
1986
On recurrence criteria in the Dirichlet space theory. Zbl 0613.60067
Fukushima, M.
1986
On the continuity of plurisubharmonic functions along conformal diffusions. Zbl 0614.60044
Fukushima, Masatoshi
1986
A stochastic approach to the minimum principle for the complex Monge- Ampère operator. Zbl 0604.31006
Fukushima, M.
1986
(r,p)-capacities for general Markovian semigroups. Zbl 0573.60069
Fukushima, M.; Kaneko, K.
1985
Energy forms and diffusion processes. Zbl 0676.60071
Fukushima, Masatoshi
1985
Basic properties of Brownian motion and a capacity on the Wiener space. Zbl 0522.60081
Fukushima, Masatoshi
1984
A transformation of a symmetric Markov process and the Donsker-Varadhan theory. Zbl 0542.60077
Fukushima, Masatoshi; Takeda, Masayoshi
1984
On conformal martingale diffusions and pluripolar sets. Zbl 0537.60082
1984
A Dirichlet form on the Wiener space and properties on Brownian motion. Zbl 0569.31008
Fukushima, Masatoshi
1984
Capacitary maximal inequalities and an ergodic theorem. Zbl 0522.60080
Fukushima, Masatoshi
1983
A note on irreducibility and ergodicity of symmetric Markov processes. Zbl 0506.60075
Fukushima, M.
1982
On absolute continuity of multidimensional symmetrizable diffusions. Zbl 0485.60075
Fukushima, M.
1982
Markov processes and functional analysis. Zbl 0506.60074
Fukushima, Masatoshi
1982
Capacity and quantum mechanical tunneling. Zbl 0487.60066
Albeverio, S.; Fukushima, M.; Karwowski, W.; Streit, L.
1981
On a representation of local martingale additive functionals of symmetric diffusions. Zbl 0457.60048
Fukushima, M.
1981
Dirichlet forms and Markov processes. Zbl 0422.31007
Fukushima, Masatoshi
1980
Dirichlet spaces and additive functionals of finite energy. Zbl 0461.60087
Fukushima, M.
1980
A decomposition of additive functionals of finite energy. Zbl 0418.60081
Fukushima, Masatoshi
1979
Fukushima, Masatoshi
1979
On spectra of the Schrödinger operator with a white Gaussian noise potential. Zbl 0361.60044
Fukushima, Masatoshi; Nakao, Shintaro
1977
On an $$L^p$$-estimate of resolvents of Markov processes. Zbl 0368.60084
Fukushima, Masatoshi
1977
Potential theory of symmetric Markov processes and its applications. Zbl 0349.60077
Fukushima, M.
1976
On an asymptotic property of spectra of a random difference operator. Zbl 0333.35027
Fukushima, Masatoshi; Nagai, Hideo; Nakao, Shintaro
1975
On the spectral distribution of a disordered system and the range of a random walk. Zbl 0366.60099
Fukushima, Masatoshi
1974
Almost polar sets and an ergodic theorem. Zbl 0266.60057
Fukushima, M.
1974
Local property of Dirichlet forms and continuity of sample paths. Zbl 0283.60067
Fukushima, Masatoshi
1974
On the generation of Markov processes by symmetric forms. Zbl 0262.60054
Fukushima, Masatoshi
1973
Dirichlet spaces and strong Markov processes. Zbl 0254.60055
Fukushima, Masatoshi
1972
On transition probabilities of symmetric strong Markov processes. Zbl 0255.60051
Fukushima, Masatoshi
1972
Regular representations of Dirichlet spaces. Zbl 0248.31007
Fukushima, Masatoshi
1971
On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities. Zbl 0181.20903
Fukushima, M.
1969
On Dirichlet spaces and Dirichlet rings. Zbl 0183.13802
Fukushima, M.
1969
A construction of reflecting barrier Brownian motions for bounded domains. Zbl 0317.60033
Fukushima, Masatoshi
1967
On a class of Markov processes taking values on lines and the central limit theorem. Zbl 0178.20603
Fukushima, M.; Hitsuda, M.
1967
On Feller’s kernel and the Dirichlet norm. Zbl 0143.19502
Fukushima, M.
1964
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#### Cited by 1,180 Authors

 71 Chen, Zhen-Qing 47 Röckner, Michael 42 Albeverio, Sergio A. 42 Fukushima, Masatoshi 33 Strichartz, Robert S. 27 Teplyaev, Alexander 26 Takeda, Masayoshi 24 Kumagai, Takashi 22 Kim, Panki 22 Klimsiak, Tomasz 22 Zhang, Tusheng S. 21 Song, Renming 20 Grigor’yan, Alexander Asaturovich 20 Ying, Jiangang 18 Wang, Jian 17 Fitzsimmons, Patrick J. 17 Kuwae, Kazuhiro 17 Ma, Zhi-Ming 17 Saloff-Coste, Laurent 17 Sun, Wei 16 Bogachev, Vladimir Igorevich 16 Hu, Jiaxin 16 Kaneko, Hiroshi 15 Hinz, Michael 15 Uemura, Toshihiro 14 Ambrosio, Luigi 14 Kondrat’yev, Yuriĭ Grygorovych 13 Bass, Richard F. 13 Lenz, Daniel H. 13 Shiozawa, Yuichi 12 Barlow, Martin T. 12 Cipriani, Fabio 12 Hino, Masanori 12 Keller, Matthias 12 Li, Liping 11 Bendikov, Alexander D. 11 Grothaus, Martin 11 Lancia, Maria Rosaria 11 Pietruska-Pałuba, Katarzyna 11 Rozkosz, Andrzej 10 Jacob, Niels 10 Kigami, Jun 10 Kim, Daehong 10 Masamune, Jun 10 Robinson, Derek W. 10 Rogers, Luke G. 10 Song, Shiqi 10 Trutnau, Gerald 9 Bouleau, Nicolas 9 Burdzy, Krzysztof 9 Da Prato, Giuseppe 9 Kassmann, Moritz 9 Khoshnevisan, Davar 9 Lau, Kasing 9 Miranda, Michele jun. 9 Oshima, Yoichi 9 Schilling, René Leander 9 Warma, Mahamadi 8 Beznea, Lucian 8 Bogdan, Krzysztof 8 Hambly, Ben M. 8 Huang, Xueping 8 Osada, Hirofumi 7 Ben Amor, Ali 7 Coulhon, Thierry 7 Croydon, David A. 7 Gesztesy, Fritz 7 Kajino, Naotaka 7 Karwowski, Witold 7 Lunardi, Alessandra 7 Mathieu, Pierre 7 Pallara, Diego 7 Schmidt, Marcel 7 Shanmugalingam, Nageswari 7 Sturm, Karl-Theodor 7 Sznitman, Alain-Sol 7 Vernole, Paola Gioia 7 Vondraček, Zoran 7 Zambotti, Lorenzo 6 Atsuji, Atsushi 6 Baudoin, Fabrice 6 Biroli, Marco 6 Chen, Mu-Fa 6 He, Ping 6 Jiang, Renjin 6 Linetsky, Vadim 6 Lytvynov, Eugene W. 6 McGillivray, Ivor 6 Murugan, Mathav Kishore 6 Okoudjou, Kasso A. 6 Qiu, Hua 6 Streit, Ludwig 6 Tsuchida, Kaneharu 6 Vélez-Santiago, Alejandro 6 Zhu, RongChan 5 Chen, Chuanzhong 5 Chen, Xin 5 Demuth, Michael 5 Dynkin, Evgeniĭ Borisovich 5 Gal, Ciprian Gheorghe Sorin ...and 1,080 more Authors
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#### Cited in 231 Serials

 168 Journal of Functional Analysis 108 Potential Analysis 71 Probability Theory and Related Fields 70 Stochastic Processes and their Applications 62 The Annals of Probability 62 Transactions of the American Mathematical Society 35 Journal of Mathematical Analysis and Applications 34 Journal of Theoretical Probability 28 Proceedings of the American Mathematical Society 27 Communications in Mathematical Physics 24 Journal of Evolution Equations 22 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 19 Forum Mathematicum 18 Mathematische Annalen 18 Mathematische Zeitschrift 17 Tohoku Mathematical Journal. Second Series 17 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 16 Mathematische Nachrichten 15 Electronic Journal of Probability 14 Advances in Mathematics 14 Journal of Differential Equations 14 Journal of the Mathematical Society of Japan 14 Calculus of Variations and Partial Differential Equations 14 Acta Mathematica Sinica. English Series 13 Communications on Pure and Applied Mathematics 12 Journal d’Analyse Mathématique 12 Journal of Statistical Physics 12 Osaka Journal of Mathematics 12 Acta Applicandae Mathematicae 11 Journal of Mathematical Physics 11 Statistics & Probability Letters 11 Stochastic Analysis and Applications 11 The Journal of Fourier Analysis and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Acta Mathematicae Applicatae Sinica. English Series 9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 9 Zeitschrift für Analysis und ihre Anwendungen 9 The Annals of Applied Probability 9 Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 Communications on Pure and Applied Analysis 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Illinois Journal of Mathematics 8 Proceedings of the Japan Academy. Series A 8 Bernoulli 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Science China. Mathematics 7 Communications in Partial Differential Equations 7 Fractals 7 NoDEA. Nonlinear Differential Equations and Applications 7 Discrete and Continuous Dynamical Systems 7 Doklady Mathematics 7 Journal of Fractal Geometry 6 Bulletin of the American Mathematical Society. New Series 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Journal of Mathematical Sciences (New York) 6 Proceedings of the Japan Academy 5 Archive for Rational Mechanics and Analysis 5 Applied Mathematics and Optimization 5 Integral Equations and Operator Theory 5 Inventiones Mathematicae 5 Constructive Approximation 5 The Journal of Geometric Analysis 5 Stochastics and Stochastics Reports 5 Journal of the European Mathematical Society (JEMS) 5 Complex Analysis and Operator Theory 5 Frontiers of Mathematics in China 5 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 4 Applicable Analysis 4 Stochastics 4 Studia Mathematica 4 Ukrainian Mathematical Journal 4 Journal of Soviet Mathematics 4 Manuscripta Mathematica 4 Memoirs of the American Mathematical Society 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Revista Matemática Iberoamericana 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Acta Mathematica Sinica. New Series 4 Mathematical Finance 3 Israel Journal of Mathematics 3 Letters in Mathematical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Nonlinearity 3 Reports on Mathematical Physics 3 Archiv der Mathematik 3 Bulletin of the London Mathematical Society 3 Journal für die Reine und Angewandte Mathematik 3 Kodai Mathematical Journal 3 Probability and Mathematical Statistics 3 Chinese Annals of Mathematics. Series B 3 Science in China. Series A 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 SIAM Journal on Mathematical Analysis 3 Bulletin des Sciences Mathématiques 3 Abstract and Applied Analysis 3 Mathematical Physics, Analysis and Geometry 3 Stochastics and Dynamics 3 Complex Variables and Elliptic Equations ...and 131 more Serials
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#### Cited in 52 Fields

 1,060 Probability theory and stochastic processes (60-XX) 457 Potential theory (31-XX) 441 Partial differential equations (35-XX) 279 Operator theory (47-XX) 215 Measure and integration (28-XX) 141 Functional analysis (46-XX) 125 Global analysis, analysis on manifolds (58-XX) 68 Statistical mechanics, structure of matter (82-XX) 65 Quantum theory (81-XX) 51 Differential geometry (53-XX) 39 Real functions (26-XX) 38 Dynamical systems and ergodic theory (37-XX) 37 Combinatorics (05-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 33 Functions of a complex variable (30-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 20 Ordinary differential equations (34-XX) 17 Abstract harmonic analysis (43-XX) 17 Statistics (62-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Several complex variables and analytic spaces (32-XX) 16 Numerical analysis (65-XX) 15 Number theory (11-XX) 13 Integral equations (45-XX) 12 Topological groups, Lie groups (22-XX) 12 Fluid mechanics (76-XX) 12 Biology and other natural sciences (92-XX) 9 Difference and functional equations (39-XX) 9 Mechanics of deformable solids (74-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 General topology (54-XX) 6 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 4 Group theory and generalizations (20-XX) 4 Convex and discrete geometry (52-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 2 History and biography (01-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)