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Blumenthal, Robert M.

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Author ID: blumenthal.robert-m Recent zbMATH articles by "Blumenthal, Robert M."
Published as: Blumenthal, R. M.; Blumenthal, Robert M.; Blumenthal, R.
External Links: MGP · Wikidata
Documents Indexed: 27 Publications since 1957, including 3 Books
Co-Authors: 8 Co-Authors with 21 Joint Publications
134 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 1,470 times in 1,262 Documents Cited by Year
Markov processes and potential theory. Zbl 0169.49204
Blumenthal, R. M.; Getoor, R. K.
746
1968
Some theorems on stable processes. Zbl 0107.12401
Blumenthal, R. M.; Getoor, R. K.
172
1960
Sample functions of stochastic processes with stationary independent increments. Zbl 0097.33703
Blumenthal, R. M.; Getoor, R. K.
133
1961
On the distribution of first hits for the symmetric stable processes. Zbl 0118.13005
Blumenthal, R. M.; Getoor, R. K.; Ray, D. B.
100
1961
Excursions of Markov processes. Zbl 0983.60504
Blumenthal, Robert M.
43
1992
The asymptotic distribution of the eigenvalues for a class of Markov operators. Zbl 0086.33901
Blumenthal, R. M.; Getoor, R. K.
42
1959
Local times for Markov processes. Zbl 0126.33701
Blumenthal, R.; Getoor, R.
36
1964
Markov processes and potential theory. Reprint of the 1968 ed. Zbl 1230.60002
Blumenthal, R. M.; Getoor, R. K.
29
2007
Markov processes with identical hitting distributions. Zbl 0133.40903
Blumenthal, R. M.; Getoor, R. K.; McKean, H. P. jun.
23
1962
Extreme operators into \(C(K)\). Zbl 0141.32101
Blumenthal, R. M.; Lindenstrauss, Joram; Phelps, R. R.
23
1965
A dimension theorem for sample functions of stable processes. Zbl 0093.14402
Blumenthal, R. M.; Getoor, R. K.
20
1960
Dual processes and potential theory. Zbl 0238.60055
Blumenthal, R. M.; Getoor, R. K.
20
1970
An extended Markov property. Zbl 0084.13602
Blumenthal, R. M.
18
1957
The dimension of the set of zeros and the graph of a symmetric stable process. Zbl 0286.60031
Blumenthal, R. M.; Getoor, R. K.
17
1962
On construction of Markov processes. Zbl 0494.60071
Blumenthal, R. M.
11
1983
Additive functionals of Markov processes in duality. Zbl 0133.40904
Blumenthal, R. M.; Getoor, R. K.
8
1964
A decomposition of excessive measures. Zbl 0602.60061
Blumenthal, R. M.
5
1986
On continuity of transition functions. Zbl 0084.13201
Austin, D. G.; Blumenthal, R. M.; Chacon, R. V.
4
1958
Weak convergence to Brownian excursion. Zbl 0515.60081
Blumenthal, R. M.
4
1983
On continuous collections of measures. Zbl 0195.06102
Blumenthal, Robert M.; Corson, Harry H.
4
1970
A supplement to ‘Markov processes with identical hitting distributions’. Zbl 0211.48602
Blumenthal, R. M.; Getoor, R. K.; McKean, H. P. jun.
4
1963
Hunt processes and standard processes. Zbl 0189.51603
Blumenthal, R. M.; Getoor, R. G.
2
1967
On continuous collections of measures. Zbl 0253.60063
Blumenthal, Robert M.; Corson, Harry H.
2
1972
Accessible terminal times. Zbl 0267.60045
Blumenthal, R. M.; Getoor, R. K.
2
1967
Markov processes with identical hitting distributions. Zbl 0108.30801
Blumenthal, R. M.; Getoor, R. K.; McKean, H. P. jun.
1
1962
A theorem on stopping times. Zbl 0133.10602
Blumenthal, R. M.; Getoor, R. K.
1
1964
Markov processes and potential theory. Reprint of the 1968 ed. Zbl 1230.60002
Blumenthal, R. M.; Getoor, R. K.
29
2007
Excursions of Markov processes. Zbl 0983.60504
Blumenthal, Robert M.
43
1992
A decomposition of excessive measures. Zbl 0602.60061
Blumenthal, R. M.
5
1986
On construction of Markov processes. Zbl 0494.60071
Blumenthal, R. M.
11
1983
Weak convergence to Brownian excursion. Zbl 0515.60081
Blumenthal, R. M.
4
1983
On continuous collections of measures. Zbl 0253.60063
Blumenthal, Robert M.; Corson, Harry H.
2
1972
Dual processes and potential theory. Zbl 0238.60055
Blumenthal, R. M.; Getoor, R. K.
20
1970
On continuous collections of measures. Zbl 0195.06102
Blumenthal, Robert M.; Corson, Harry H.
4
1970
Markov processes and potential theory. Zbl 0169.49204
Blumenthal, R. M.; Getoor, R. K.
746
1968
Hunt processes and standard processes. Zbl 0189.51603
Blumenthal, R. M.; Getoor, R. G.
2
1967
Accessible terminal times. Zbl 0267.60045
Blumenthal, R. M.; Getoor, R. K.
2
1967
Extreme operators into \(C(K)\). Zbl 0141.32101
Blumenthal, R. M.; Lindenstrauss, Joram; Phelps, R. R.
23
1965
Local times for Markov processes. Zbl 0126.33701
Blumenthal, R.; Getoor, R.
36
1964
Additive functionals of Markov processes in duality. Zbl 0133.40904
Blumenthal, R. M.; Getoor, R. K.
8
1964
A theorem on stopping times. Zbl 0133.10602
Blumenthal, R. M.; Getoor, R. K.
1
1964
A supplement to ‘Markov processes with identical hitting distributions’. Zbl 0211.48602
Blumenthal, R. M.; Getoor, R. K.; McKean, H. P. jun.
4
1963
Markov processes with identical hitting distributions. Zbl 0133.40903
Blumenthal, R. M.; Getoor, R. K.; McKean, H. P. jun.
23
1962
The dimension of the set of zeros and the graph of a symmetric stable process. Zbl 0286.60031
Blumenthal, R. M.; Getoor, R. K.
17
1962
Markov processes with identical hitting distributions. Zbl 0108.30801
Blumenthal, R. M.; Getoor, R. K.; McKean, H. P. jun.
1
1962
Sample functions of stochastic processes with stationary independent increments. Zbl 0097.33703
Blumenthal, R. M.; Getoor, R. K.
133
1961
On the distribution of first hits for the symmetric stable processes. Zbl 0118.13005
Blumenthal, R. M.; Getoor, R. K.; Ray, D. B.
100
1961
Some theorems on stable processes. Zbl 0107.12401
Blumenthal, R. M.; Getoor, R. K.
172
1960
A dimension theorem for sample functions of stable processes. Zbl 0093.14402
Blumenthal, R. M.; Getoor, R. K.
20
1960
The asymptotic distribution of the eigenvalues for a class of Markov operators. Zbl 0086.33901
Blumenthal, R. M.; Getoor, R. K.
42
1959
On continuity of transition functions. Zbl 0084.13201
Austin, D. G.; Blumenthal, R. M.; Chacon, R. V.
4
1958
An extended Markov property. Zbl 0084.13602
Blumenthal, R. M.
18
1957
all top 5

Cited by 1,096 Authors

35 Chen, Zhen-Qing
31 Getoor, Ronald Kay
30 Song, Renming
23 Fitzsimmons, Patrick J.
21 Kim, Panki
16 Bass, Richard F.
16 Vazquez, Juan Luis
16 Vondraček, Zoran
15 Kyprianou, Andreas E.
15 Ying, Jiangang
14 Kulczycki, Tadeusz
13 Bogdan, Krzysztof
13 Glover, Joseph
13 Klimsiak, Tomasz
13 Xiao, Yimin
12 Grzywny, Tomasz
12 Khoshnevisan, Davar
12 Sztonyk, Paweł
11 Jacod, Jean
11 Ryznar, Michał
10 Beznea, Lucian
10 Kaleta, Kamil
10 Millar, P. Warwick
9 Cinlar, Erhan
9 Patie, Pierre
9 Rao, Murali
9 Sharpe, Michael J.
8 Bañuelos, Rodrigo
8 Fukushima, Masatoshi
8 Kwaśnicki, Mateusz
8 Taylor, Samuel James
8 Yano, Kouji
7 Albeverio, Sergio A.
7 Hawkes, John
7 Kaspi, Haya
7 Maller, Ross Arthur
7 Revuz, Daniel
7 Rivero, Víctor Manuel
7 Salminen, Paavo H.
7 Schnurr, Alexander
7 Sun, Wei
7 Walsh, John Bradstreet
6 Barlow, Martin T.
6 Bismut, Jean-Michel
6 Bonforte, Matteo
6 Burdzy, Krzysztof
6 Fristedt, Bert E.
6 Hansen, Wolfhard
6 Horowitz, Joseph
6 Hu, Ze-Chun
6 Mitro, Joanna B.
6 Pruitt, William E.
6 Schilling, René Leander
6 Sire, Yannick
6 Stoica, Lucreţiu
5 Azéma, Jacques
5 Bendikov, Alexander D.
5 Bertoin, Jean
5 Dawson, Donald Andrew
5 Erickson, K. Bruce
5 Evans, Steven Neil
5 Fleischmann, Klaus
5 Grubb, Gerd
5 Kharlamov, Boris Pavlovich
5 He, Ping
5 Hendricks, W. J.
5 Jakubowski, Tomasz
5 Kanda, Mamoru
5 Ma, Zhi-Ming
5 Małecki, Jacek
5 Meerschaert, Mark Marvin
5 Mena Jurado, Juan Francisco
5 Nguyen Xuan Loc
5 Øksendal, Bernt Karsten
5 Pardo, Juan Carlos
5 Pitman, Jim William
5 Pittenger, Arthur O.
5 Port, Sidney Charles
5 Reinhard, Hervé
5 Rosen, Jay S.
5 Roynette, Bernard
5 Rozkosz, Andrzej
5 Todorov, Viktor
5 Williams, Ruth J.
5 Yang, Xiaochuan
5 Yolcu, Turkay
5 Zabczyk, Jerzy
4 Acuña Valverde, Luis
4 Alonso Rodríguez, Ana
4 Becker-Kern, Peter
4 Blumenthal, Robert M.
4 Capitanelli, Raffaela
4 Chung, Kai Lai
4 de Pablo, Arturo
4 D’Ovidio, Mirko
4 Dynkin, Evgeniĭ Borisovich
4 El Karoui, Nicole
4 Fageot, Julien
4 Gaveau, Bernard
4 Gzyl, Henryk
...and 996 more Authors
all top 5

Cited in 213 Serials

149 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
102 Stochastic Processes and their Applications
64 Probability Theory and Related Fields
63 Transactions of the American Mathematical Society
61 Potential Analysis
54 The Annals of Probability
41 Journal of Functional Analysis
36 Journal of Theoretical Probability
23 Journal of Mathematical Analysis and Applications
23 Proceedings of the American Mathematical Society
20 Annales de l’Institut Fourier
18 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
16 Mathematische Annalen
16 Mathematische Zeitschrift
16 Statistics & Probability Letters
16 The Annals of Applied Probability
15 Inventiones Mathematicae
15 Bernoulli
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
13 Journal of Differential Equations
12 Mathematische Nachrichten
11 Journal of Applied Probability
10 Advances in Mathematics
10 Stochastic Analysis and Applications
10 Calculus of Variations and Partial Differential Equations
9 Fractional Calculus & Applied Analysis
8 Discrete and Continuous Dynamical Systems
7 Journal of Soviet Mathematics
7 Acta Mathematica Sinica. English Series
6 Tohoku Mathematical Journal. Second Series
6 Stochastics and Stochastics Reports
6 Electronic Journal of Probability
5 Communications in Mathematical Physics
5 Israel Journal of Mathematics
5 Journal of Mathematical Physics
5 Journal of Statistical Physics
5 Lithuanian Mathematical Journal
5 Stochastics
5 Applied Mathematics and Optimization
5 Journal of Econometrics
5 Nagoya Mathematical Journal
5 Proceedings of the Japan Academy. Series A
5 Science in China. Series A
5 Journal of the European Mathematical Society (JEMS)
5 Communications in Contemporary Mathematics
5 Journal of Evolution Equations
4 Bulletin de la Société Mathématique de France
4 Journal of the Mathematical Society of Japan
4 Osaka Journal of Mathematics
4 Acta Mathematica Sinica. New Series
4 NoDEA. Nonlinear Differential Equations and Applications
4 Bulletin of the American Mathematical Society
4 Science China. Mathematics
3 Advances in Applied Probability
3 Communications on Pure and Applied Mathematics
3 Journal d’Analyse Mathématique
3 Studia Mathematica
3 Theory of Probability and its Applications
3 Acta Mathematica
3 The Annals of Statistics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Journal of Multivariate Analysis
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 SIAM Journal on Control and Optimization
3 Probability and Mathematical Statistics
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Mathematical and Computer Modelling
3 Queueing Systems
3 Forum Mathematicum
3 Communications in Partial Differential Equations
3 Bulletin des Sciences Mathématiques
3 Electronic Communications in Probability
3 Abstract and Applied Analysis
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Communications on Pure and Applied Analysis
3 Stochastics
3 Bulletin de la Société Mathématique de France. Supplément. Mémoires
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nonlinearity
2 Periodica Mathematica Hungarica
2 Ukrainian Mathematical Journal
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Reviews in Mathematical Physics
2 Chaos, Solitons and Fractals
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Compositio Mathematica
2 Czechoslovak Mathematical Journal
2 Duke Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Statistical Planning and Inference
2 Memoirs of the American Mathematical Society
2 Monatshefte für Mathematik
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Semigroup Forum
2 Systems & Control Letters
2 Applied Mathematics and Mechanics. (English Edition)
...and 113 more Serials
all top 5

Cited in 45 Fields

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

Citations by Year

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