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Cranston, Michael Craig

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Author ID: cranston.michael-craig Recent zbMATH articles by "Cranston, Michael Craig"
Published as: Cranston, M.; Cranston, M. C.; Cranston, Michael; Cranston, Michael C.; Cranston, Michael Craig; Cranston, Mike
Homepage: http://www.math.uci.edu/~mcransto/
External Links: MGP
Documents Indexed: 62 Publications since 1983, including 1 Book
Reviewing Activity: 23 Reviews

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 546 times in 401 Documents Cited by Year
Conditional gauge and potential theory for the Schrödinger operator. Zbl 0652.60076
Cranston, M.; Fabes, E.; Zhao, Z.
62
1988
Gradient estimates on manifolds using coupling. Zbl 0770.58038
Cranston, M.
59
1991
The lifetime of conditioned Brownian motion. Zbl 0506.60071
Cranston, M.; McConnell, T. R.
34
1983
Conditional transformation of drift formula and potential theory for \(\Delta +b(\cdot)\cdot \nabla\). Zbl 0647.60071
Cranston, M.; Zhao, Z.
28
1987
Lyapunov exponents for the parabolic Anderson model. Zbl 1046.60057
Cranston, M.; Mountford, T. S.; Shiga, T.
26
2002
Continuous model for homopolymers. Zbl 1162.82031
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
25
2009
The Malliavin calculus for pure jump processes and applications to local time. Zbl 0595.60044
Bass, R. F.; Cranston, M.
23
1986
Lifetime of conditioned Brownian motion in Lipschitz domains. Zbl 0581.60062
Cranston, M.
21
1985
Self attracting diffusions: Two case studies. Zbl 0838.60052
Cranston, M.; Le Jan, Yves
16
1995
A condition for the equivalence of coupling and shift coupling. Zbl 1044.60066
Cranston, M.; Wang, Feng-Yu
15
2000
Linear expansion of isotropic Brownian flows. Zbl 0938.60048
Cranston, Michael; Scheutzow, Michael; Steinsaltz, David
13
1999
Coupling and harmonic functions in the case of continuous time Markov processes. Zbl 0845.60075
Cranston, Michael; Greven, Andreas
13
1995
Overlaps and pathwise localization in the Anderson polymer model. Zbl 1290.60102
Comets, Francis; Cranston, Michael
12
2013
Lyapunov exponent for the parabolic Anderson model with Lévy noise. Zbl 1082.60057
Cranston, M.; Mountford, T. S.; Shiga, T.
12
2005
Coupling constructions for hypoelliptic diffusions: Two examples. Zbl 0823.60068
Ben Arous, Gérard; Cranston, Michael; Kendall, Wilfrid S.
11
1995
A probabilistic approach to gradient estimates. Zbl 0788.60089
Cranston, M.
10
1992
Noncoalescence for the Skorohod equation in a convex domain of \({\mathbb{R}}^ 2\). Zbl 0695.60056
Cranston, Michael; Le Jan, Yves
10
1990
Smoothness of the convex hull of planar Brownian motion. Zbl 0678.60073
Cranston, M.; Hsu, P.; March, P.
10
1989
The contact process on finite homogeneous trees revisited. Zbl 1300.82019
Cranston, M.; Mountford, T.; Mourrat, J-C.; Valesin, Daniel
9
2014
On phase transitions and limit theorems for homopolymers. Zbl 1132.82022
Cranston, M.; Molchanov, S.
9
2007
Quenched to annealed transition in the parabolic Anderson problem. Zbl 1136.60016
Cranston, M.; Molchanov, S.
9
2007
Linear bounds for stochastic dispersion. Zbl 1044.60055
Cranston, Mike; Scheutzow, Michael; Steinsaltz, David
9
2000
The strong law of large numbers for a Brownian polymer. Zbl 0873.60014
Cranston, M.; Mountford, T. S.
9
1996
On the noncoalescence of a two point Brownian motion reflecting on a circle. Zbl 0679.60080
Cranston, M.; Le Yan, Y.
9
1989
Potential theory for the Schrödinger equation. Zbl 0613.60068
Cranston, M.; Fabes, E.; Zhao, Z.
9
1986
On large deviations for the parabolic Anderson model. Zbl 1202.60040
Cranston, M.; Gauthier, D.; Mountford, T. S.
8
2010
Limit laws for sums of products of exponentials of iid random variables. Zbl 1083.60013
Cranston, Michael; Molchanov, Stanislav
8
2005
A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
6
2010
On large deviation regimes for random media models. Zbl 1171.60023
Cranston, M.; Gauthier, D.; Mountford, T. S.
6
2009
Lyapunov exponent for the parabolic Anderson model in \(\mathbf R^{d}\). Zbl 1094.60043
Cranston, M.; Mountford, T. S.
5
2006
Eigenfunction and harmonic function estimates in domains with horns and cusps. Zbl 0899.35069
Cranston, Michael; Li, Yi
5
1997
The radial part of Brownian motion. II: Its life and times on the cut locus. Zbl 0791.58109
Cranston, Michael; Kendall, Wilfrid S.; March, Peter
5
1993
Martin boundaries of sectorial domains. Zbl 0841.31009
Cranston, Michael C.; Salisbury, Thomas S.
4
1993
An extension of a result of Burdzy and Lawler. Zbl 0725.60072
Cranston, M. C.; Mountford, T. S.
4
1991
The Martin boundary of two dimensional Ornstein-Uhlenbeck processes. Zbl 0513.60073
Cranston, M.; Orey, S.; Roesler, U.
4
1983
Weak synchronization for isotropic flows. Zbl 1368.37059
Cranston, Michael; Gess, Benjamin; Scheutzow, Michael
3
2016
Efficient coupling on the circle. Zbl 0992.60079
Mountford, T. S.; Cranston, M.
3
2000
Conditional Brownian motion, Whitney squares and the conditional gauge theorem. Zbl 0689.60077
Cranston, M.
3
1989
Geometric evolution under isotropic stochastic flow. Zbl 0890.60048
Cranston, M.; LeJan, Y.
2
1998
A probabilistic approach to Martin boundaries for manifolds with ends. Zbl 0791.58108
Cranston, M.
2
1993
Simultaneous boundary hitting for a two point reflecting Brownian motion. Zbl 0738.60073
Cranston, M.; Le Jan, Yves
2
1989
On the means of approach to the boundary of Brownian motion. Zbl 0628.60076
Cranston, M.
2
1987
Exit times for symmetric stable processes in \(R^ n\). Zbl 0516.60085
Bass, R. F.; Cranston, M.
2
1983
Invariant sigma-fields for a class of diffusions. Zbl 0506.60070
Cranston, M.
2
1983
Point potential for the generator of a stable process. Zbl 1291.60098
Cranston, M.; Molchanov, S.; Squartini, N.
1
2014
On a concentration inequality for sums of independent isotropic vectors. Zbl 1260.60028
Cranston, Michael Craig; Molchanov, Stanislav Alekseevich
1
2012
A central limit theorem for isotropic flows. Zbl 1187.60014
Cranston, M.; le Jan, Yves
1
2009
Dispersion rates under finite mode Kolmogorov flows. Zbl 1021.60032
Cranston, Mike; Scheutzow, Michael
1
2002
Gromov’s hyperbolicity and Picard’s little theorem for harmonic maps. Zbl 0917.60050
Cranston, M.; Kendall, W. S.; Kifer, Yu.
1
1996
Some regularity results and eigenfunction estimates for the Schrödinger operator. Zbl 0722.60065
Cranston, M.; Zhao, Z.
1
1990
Brownian motion with lower class moving boundaries which grow faster than t**(1/2). Zbl 0503.60080
Bass, R. F.; Cranston, M.
1
1983
Weak synchronization for isotropic flows. Zbl 1368.37059
Cranston, Michael; Gess, Benjamin; Scheutzow, Michael
3
2016
The contact process on finite homogeneous trees revisited. Zbl 1300.82019
Cranston, M.; Mountford, T.; Mourrat, J-C.; Valesin, Daniel
9
2014
Point potential for the generator of a stable process. Zbl 1291.60098
Cranston, M.; Molchanov, S.; Squartini, N.
1
2014
Overlaps and pathwise localization in the Anderson polymer model. Zbl 1290.60102
Comets, Francis; Cranston, Michael
12
2013
On a concentration inequality for sums of independent isotropic vectors. Zbl 1260.60028
Cranston, Michael Craig; Molchanov, Stanislav Alekseevich
1
2012
On large deviations for the parabolic Anderson model. Zbl 1202.60040
Cranston, M.; Gauthier, D.; Mountford, T. S.
8
2010
A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
6
2010
Continuous model for homopolymers. Zbl 1162.82031
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
25
2009
On large deviation regimes for random media models. Zbl 1171.60023
Cranston, M.; Gauthier, D.; Mountford, T. S.
6
2009
A central limit theorem for isotropic flows. Zbl 1187.60014
Cranston, M.; le Jan, Yves
1
2009
On phase transitions and limit theorems for homopolymers. Zbl 1132.82022
Cranston, M.; Molchanov, S.
9
2007
Quenched to annealed transition in the parabolic Anderson problem. Zbl 1136.60016
Cranston, M.; Molchanov, S.
9
2007
Lyapunov exponent for the parabolic Anderson model in \(\mathbf R^{d}\). Zbl 1094.60043
Cranston, M.; Mountford, T. S.
5
2006
Lyapunov exponent for the parabolic Anderson model with Lévy noise. Zbl 1082.60057
Cranston, M.; Mountford, T. S.; Shiga, T.
12
2005
Limit laws for sums of products of exponentials of iid random variables. Zbl 1083.60013
Cranston, Michael; Molchanov, Stanislav
8
2005
Lyapunov exponents for the parabolic Anderson model. Zbl 1046.60057
Cranston, M.; Mountford, T. S.; Shiga, T.
26
2002
Dispersion rates under finite mode Kolmogorov flows. Zbl 1021.60032
Cranston, Mike; Scheutzow, Michael
1
2002
A condition for the equivalence of coupling and shift coupling. Zbl 1044.60066
Cranston, M.; Wang, Feng-Yu
15
2000
Linear bounds for stochastic dispersion. Zbl 1044.60055
Cranston, Mike; Scheutzow, Michael; Steinsaltz, David
9
2000
Efficient coupling on the circle. Zbl 0992.60079
Mountford, T. S.; Cranston, M.
3
2000
Linear expansion of isotropic Brownian flows. Zbl 0938.60048
Cranston, Michael; Scheutzow, Michael; Steinsaltz, David
13
1999
Geometric evolution under isotropic stochastic flow. Zbl 0890.60048
Cranston, M.; LeJan, Y.
2
1998
Eigenfunction and harmonic function estimates in domains with horns and cusps. Zbl 0899.35069
Cranston, Michael; Li, Yi
5
1997
The strong law of large numbers for a Brownian polymer. Zbl 0873.60014
Cranston, M.; Mountford, T. S.
9
1996
Gromov’s hyperbolicity and Picard’s little theorem for harmonic maps. Zbl 0917.60050
Cranston, M.; Kendall, W. S.; Kifer, Yu.
1
1996
Self attracting diffusions: Two case studies. Zbl 0838.60052
Cranston, M.; Le Jan, Yves
16
1995
Coupling and harmonic functions in the case of continuous time Markov processes. Zbl 0845.60075
Cranston, Michael; Greven, Andreas
13
1995
Coupling constructions for hypoelliptic diffusions: Two examples. Zbl 0823.60068
Ben Arous, Gérard; Cranston, Michael; Kendall, Wilfrid S.
11
1995
The radial part of Brownian motion. II: Its life and times on the cut locus. Zbl 0791.58109
Cranston, Michael; Kendall, Wilfrid S.; March, Peter
5
1993
Martin boundaries of sectorial domains. Zbl 0841.31009
Cranston, Michael C.; Salisbury, Thomas S.
4
1993
A probabilistic approach to Martin boundaries for manifolds with ends. Zbl 0791.58108
Cranston, M.
2
1993
A probabilistic approach to gradient estimates. Zbl 0788.60089
Cranston, M.
10
1992
Gradient estimates on manifolds using coupling. Zbl 0770.58038
Cranston, M.
59
1991
An extension of a result of Burdzy and Lawler. Zbl 0725.60072
Cranston, M. C.; Mountford, T. S.
4
1991
Noncoalescence for the Skorohod equation in a convex domain of \({\mathbb{R}}^ 2\). Zbl 0695.60056
Cranston, Michael; Le Jan, Yves
10
1990
Some regularity results and eigenfunction estimates for the Schrödinger operator. Zbl 0722.60065
Cranston, M.; Zhao, Z.
1
1990
Smoothness of the convex hull of planar Brownian motion. Zbl 0678.60073
Cranston, M.; Hsu, P.; March, P.
10
1989
On the noncoalescence of a two point Brownian motion reflecting on a circle. Zbl 0679.60080
Cranston, M.; Le Yan, Y.
9
1989
Conditional Brownian motion, Whitney squares and the conditional gauge theorem. Zbl 0689.60077
Cranston, M.
3
1989
Simultaneous boundary hitting for a two point reflecting Brownian motion. Zbl 0738.60073
Cranston, M.; Le Jan, Yves
2
1989
Conditional gauge and potential theory for the Schrödinger operator. Zbl 0652.60076
Cranston, M.; Fabes, E.; Zhao, Z.
62
1988
Conditional transformation of drift formula and potential theory for \(\Delta +b(\cdot)\cdot \nabla\). Zbl 0647.60071
Cranston, M.; Zhao, Z.
28
1987
On the means of approach to the boundary of Brownian motion. Zbl 0628.60076
Cranston, M.
2
1987
The Malliavin calculus for pure jump processes and applications to local time. Zbl 0595.60044
Bass, R. F.; Cranston, M.
23
1986
Potential theory for the Schrödinger equation. Zbl 0613.60068
Cranston, M.; Fabes, E.; Zhao, Z.
9
1986
Lifetime of conditioned Brownian motion in Lipschitz domains. Zbl 0581.60062
Cranston, M.
21
1985
The lifetime of conditioned Brownian motion. Zbl 0506.60071
Cranston, M.; McConnell, T. R.
34
1983
The Martin boundary of two dimensional Ornstein-Uhlenbeck processes. Zbl 0513.60073
Cranston, M.; Orey, S.; Roesler, U.
4
1983
Exit times for symmetric stable processes in \(R^ n\). Zbl 0516.60085
Bass, R. F.; Cranston, M.
2
1983
Invariant sigma-fields for a class of diffusions. Zbl 0506.60070
Cranston, M.
2
1983
Brownian motion with lower class moving boundaries which grow faster than t**(1/2). Zbl 0503.60080
Bass, R. F.; Cranston, M.
1
1983
all top 5

Cited by 427 Authors

22 Cranston, Michael Craig
18 Wang, Feng-Yu
15 Molchanov, Stanislav Alekseevich
12 Burdzy, Krzysztof
12 Chen, Zhen-Qing
10 Kendall, Wilfrid S.
9 Scheutzow, Michael K. R.
9 Zhao, Zhongxin
8 Jakubowski, Tomasz
8 Khoshnevisan, Davar
8 Kuwada, Kazumasa
8 Mountford, Thomas S.
8 Song, Renming
7 Sweers, Guido H.
7 Wang, Jian
6 Yarovaya, Elena B.
5 Bañuelos, Rodrigo
5 Koralov, Leonid B.
5 Salisbury, Thomas S.
5 Thalmaier, Anton
4 Banerjee, Sayan
4 Bass, Richard F.
4 Bogdan, Krzysztof
4 Cheng, Lijuan
4 Comets, Francis M.
4 Hansen, Wolfhard
4 Hirata, Kentaro
4 Kim, Panki
4 Raimond, Olivier
4 Sturm, Karl-Theodor
4 Vaĭnberg, Boris Rufimovich
3 Arnaudon, Marc
3 Benaïm, Michel
3 Chen, Mu-Fa
3 Chen, Xia
3 Davis, Burgess
3 Decreusefond, Laurent
3 den Hollander, Frank
3 Dimitrov, Georgi K.
3 Eberle, Andreas
3 Gärtner, Jürgen
3 Grabchak, Michael
3 Graczyk, Piotr
3 Kabluchko, Zakhar A.
3 Kim, Kunwoo
3 Lawler, Gregory Francis
3 Le Jan, Yves
3 Müller, Carl E.
3 Murata, Minoru
3 Popescu, Ionel
3 Riahi, Lotfi
3 Sandrić, Nikola
3 Schilling, René Leander
3 Van Bargen, Holger M.
3 Viens, Frederi G.
3 Wang, Fengyu
3 Zhang, Qi-Shuhuason
2 Aikawa, Hiroaki
2 Ancona, Alano
2 Athreya, Siva R.
2 Barden, Dennis
2 Baxendale, Peter H.
2 Bogachev, Vladimir Igorevich
2 Borodin, Alexei
2 Can, Van Hao
2 Chatterjee, Sourav
2 Chen, Xin
2 Corwin, Ivan
2 Coulhon, Thierry
2 Coulibaly-Pasquier, Koléhè Abdoulaye
2 Dalang, Robert C.
2 Dall’Acqua, Anna
2 Dittmar, Bodo
2 Dolgopyat, Dmitry
2 Foondun, Mohammud
2 Friesen, Martin
2 Gauthier, Carl-Erik
2 Gauthier, Daniel J.
2 Gesztesy, Fritz
2 Gloter, Arnaud
2 Gordina, Maria
2 Grigor’yan, Alexander Asaturovich
2 Huang, Jinjin
2 Ichihara, Naoyuki
2 Jin, Peng
2 Kaloshin, Vadim Yu.
2 Kulik, Alexey M.
2 Kurtzmann, Aline
2 Le, Huiling
2 Li, Xue-Mei
2 Luks, Tomasz
2 Mao, Yonghua
2 Mariano, Phanuel A.
2 Martinez, Miguel
2 Mattingly, Jonathan C.
2 Nakajima, Shuta
2 Øksendal, Bernt Karsten
2 Pallara, Diego
2 Pang, Michael M. H.
2 Pascu, Mihai N.
...and 327 more Authors
all top 5

Cited in 111 Serials

38 The Annals of Probability
36 Probability Theory and Related Fields
27 Stochastic Processes and their Applications
21 Journal of Functional Analysis
21 Potential Analysis
17 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
12 Journal of Theoretical Probability
12 The Annals of Applied Probability
9 Transactions of the American Mathematical Society
8 Journal d’Analyse Mathématique
8 Stochastics and Dynamics
7 Communications in Mathematical Physics
7 Journal of Statistical Physics
7 Mathematische Annalen
7 Bernoulli
6 Journal of Mathematical Analysis and Applications
6 Science China. Mathematics
5 Duke Mathematical Journal
5 Proceedings of the American Mathematical Society
5 Doklady Mathematics
5 Journal of Evolution Equations
3 Theory of Probability and its Applications
3 Acta Mathematica
3 Advances in Mathematics
3 Manuscripta Mathematica
3 Tohoku Mathematical Journal. Second Series
3 Science in China. Series A
3 Bulletin of the American Mathematical Society. New Series
3 Acta Mathematica Sinica. English Series
3 Frontiers of Mathematics in China
2 Communications on Pure and Applied Mathematics
2 Israel Journal of Mathematics
2 Nonlinearity
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Illinois Journal of Mathematics
2 Mathematische Zeitschrift
2 The Journal of Geometric Analysis
2 Communications in Statistics. Theory and Methods
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Acta Mathematica Sinica. New Series
2 Calculus of Variations and Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Random Operators and Stochastic Equations
2 Bulletin des Sciences Mathématiques
2 Electronic Journal of Probability
2 Electronic Communications in Probability
2 Abstract and Applied Analysis
2 Positivity
2 Methodology and Computing in Applied Probability
2 Discrete and Continuous Dynamical Systems. Series B
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 Advances in Applied Probability
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Moscow University Mathematics Bulletin
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Arkiv för Matematik
1 Acta Mathematica Vietnamica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Journal of Applied Probability
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Osaka Journal of Mathematics
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Rendiconti del Seminario Matematico della Università di Padova
1 SIAM Journal on Control and Optimization
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Bulletin of the Korean Mathematical Society
1 Stochastic Analysis and Applications
1 Acta Mathematicae Applicatae Sinica. English Series
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Forum Mathematicum
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 Communications in Partial Differential Equations
1 Journal of Statistical Computation and Simulation
1 Stochastics and Stochastics Reports
1 Chinese Science Bulletin
1 Indagationes Mathematicae. New Series
1 Test
1 Applied Mathematics. Series B (English Edition)
1 Combinatorics, Probability and Computing
1 NoDEA. Nonlinear Differential Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Journal of Inequalities and Applications
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Journal of the European Mathematical Society (JEMS)
1 Brazilian Journal of Probability and Statistics
1 Stochastic Models
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Mediterranean Journal of Mathematics
1 Stochastics
...and 11 more Serials
all top 5

Cited in 42 Fields

310 Probability theory and stochastic processes (60-XX)
96 Partial differential equations (35-XX)
57 Global analysis, analysis on manifolds (58-XX)
48 Potential theory (31-XX)
44 Statistical mechanics, structure of matter (82-XX)
25 Operator theory (47-XX)
25 Differential geometry (53-XX)
20 Dynamical systems and ergodic theory (37-XX)
10 Statistics (62-XX)
6 Fluid mechanics (76-XX)
5 Measure and integration (28-XX)
5 Ordinary differential equations (34-XX)
5 Functional analysis (46-XX)
4 Combinatorics (05-XX)
4 Quantum theory (81-XX)
4 Systems theory; control (93-XX)
3 Functions of a complex variable (30-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Numerical analysis (65-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Group theory and generalizations (20-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Convex and discrete geometry (52-XX)
2 Manifolds and cell complexes (57-XX)
2 Computer science (68-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year