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## Driver, Bruce K.

Compute Distance To:
 Author ID: driver.bruce-k Published as: Driver, B. K.; Driver, Bruce; Driver, Bruce K.
 Documents Indexed: 46 Publications since 1987
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#### Co-Authors

 16 single-authored 6 Hall, Brian C. 4 Gordina, Maria 4 Kemp, Todd A. 3 Gross, Leonard 3 Saloff-Coste, Laurent 2 Cass, Thomas Richard 2 Litterer, Christian 2 Melcher, Tai 2 Thalmaier, Anton 1 Aida, Shigeki 1 Albeverio, Sergio A. 1 Andersson, Lars Åke 1 Arnaudon, Marc 1 Cecil, Matthew 1 Dahlqvist, Antoine 1 Diehl, Joscha 1 Driver, Rodney D. 1 Eldredge, Nathaniel Gilbert Bartsch 1 Frankel, Theodore 1 Gabriel, Franck 1 Hu, Yaozhong 1 Lim, Nengli 1 Lohrenz, Terry 1 Röckner, Michael 1 Semko, Jeremy S. 1 Srimurthy, Vikram K. 1 Vershik, Anatoliĭ Moiseevich
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#### Serials

 11 Journal of Functional Analysis 6 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of the Mathematical Society of Japan 2 Transactions of the American Mathematical Society 2 Probability Theory and Related Fields 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Journal of Differential Geometry 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Revista Matemática Iberoamericana 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Mathematical Sciences (New York) 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the European Mathematical Society (JEMS)
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#### Fields

 28 Global analysis, analysis on manifolds (58-XX) 26 Probability theory and stochastic processes (60-XX) 10 Topological groups, Lie groups (22-XX) 9 Partial differential equations (35-XX) 8 Abstract harmonic analysis (43-XX) 8 Quantum theory (81-XX) 4 Differential geometry (53-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

44 Publications have been cited 629 times in 376 Documents Cited by Year
A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold. Zbl 0765.60064
Driver, Bruce K.
1992
Logarithmic Sobolev inequalities for pinned loop groups. Zbl 0859.22012
Driver, Bruce K.; Lohrenz, Terry
1996
Integration by parts and quasi-invariance for heat kernel measures on loop groups. Zbl 0887.58062
Driver, Bruce K.
1997
Hypoelliptic heat kernel inequalities on the Heisenberg group. Zbl 1071.22005
Driver, Bruce K.; Melcher, Tai
2005
A Cameron-Martin type quasi-invariance theorem for pinned Brownian motion on a compact Riemannian manifold. Zbl 0792.60013
Driver, Bruce K.
1994
On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms. Zbl 0846.43001
Driver, Bruce K.
1995
Yang-Mills theory and the Segal-Bargmann transform. Zbl 0960.53043
Driver, Bruce K.; Hall, Brian C.
1999
YM$$_ 2$$: Continuum expectations, lattice convergence, and lassos. Zbl 0819.58043
Driver, Bruce K.
1989
Heat equation derivative formulas for vector bundles. Zbl 0983.58018
Driver, Bruce K.; Thalmaier, Anton
2001
Finite dimensional approximations to Wiener measure and path integral formulas on manifolds. Zbl 0943.58024
1999
Construction of diffusions on path and loop spaces of compact Riemannian manifolds. Zbl 0771.58047
Driver, Bruce K.; Röckner, Michaël
1992
Integration by parts for heat kernel measures revisited. Zbl 0907.60052
Driver, Bruce K.
1997
Classifications of bundle connection pairs by parallel translation and lassos. Zbl 0676.53033
Driver, Bruce K.
1989
The large-$$N$$ limit of the Segal-Bargmann transform on $$\mathbb U_N$$. Zbl 1286.22010
Driver, Bruce K.; Hall, Brian C.; Kemp, Todd
2013
Holomorphic functions and subelliptic heat kernels over Lie groups. Zbl 1193.32023
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
2009
Towards calculus and geometry on path spaces. Zbl 0821.60021
Driver, Bruce K.
1995
Integrated Harnack inequalities on Lie groups. Zbl 1205.53044
Driver, Bruce K.; Gordina, Maria
2009
Heat kernel analysis on infinite-dimensional Heisenberg groups. Zbl 1163.43005
Driver, Bruce K.; Gordina, Maria
2008
Heat kernels measures and infinite dimensional analysis. Zbl 1048.58020
Driver, Bruce K.
2003
Absolute continuity of heat kernel measure with pinned Wiener measure on loop groups. Zbl 1018.60059
Driver, Bruce K.; Srimurthy, Vikram K.
2001
The Lie bracket of adapted vector fields on Wiener spaces. Zbl 0924.60032
Driver, B. K.
1999
Square integrable holomorphic functions on infinite-dimensional Heisenberg type groups. Zbl 1197.35127
Driver, Bruce K.; Gordina, Maria
2010
Equivalence of heat kernel measure and pinned Wiener measure on loop groups. Zbl 0964.22009
Aida, Shigeki; Driver, Bruce K.
2000
Three proofs of the Makeenko-Migdal equation for Yang-Mills theory on the plane. Zbl 1361.81091
Driver, Bruce K.; Hall, Brian C.; Kemp, Todd
2017
Gradient estimates for positive harmonic functions by stochastic analysis. Zbl 1144.58020
Arnaudon, Marc; Driver, Bruce K.; Thalmaier, Anton
2007
On heat kernel logarithmic Sobolev inequalities. Zbl 0918.60039
Driver, Bruce K.; Hu, Yaozhong
1996
The Makeenko-Migdal equation for Yang-Mills theory on compact surfaces. Zbl 1364.81183
Driver, Bruce K.; Gabriel, Franck; Hall, Brian C.; Kemp, Todd
2017
Constrained rough paths. Zbl 1338.60137
Cass, Thomas; Driver, Bruce K.; Litterer, Christian
2015
Surjectivity of the Taylor map for complex nilpotent Lie groups. Zbl 1158.22007
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
2009
Curved Wiener space analysis. Zbl 1085.60032
Driver, Bruce K.
2004
The non-equivalence of Dirichlet forms on path spaces. Zbl 0819.31005
Driver, B. K.
1994
Convergence of the $$U(1)_ 4$$ lattice gauge theory to its continuum limit. Zbl 0638.58031
Driver, Bruce K.
1987
Heat kernel measure on loop and path groups. Zbl 1154.58019
Cecil, Matthew; Driver, Bruce K.
2008
Hypoelliptic heat kernels on infinite-dimensional Heisenberg groups. Zbl 1341.58017
Driver, Bruce K.; Eldredge, Nathaniel; Melcher, Tai
2016
Equivalence of the Brownian and energy representations. Zbl 1360.22026
Albeverio, S.; Driver, B. K.; Gordina, Maria; Vershik, A. M.
2016
The energy representation has no non-zero fixed vectors. Zbl 0974.22018
Driver, Bruce K.; Hall, Brian C.
2000
The complex-time Segal-Bargmann transform. Zbl 1427.43008
Driver, Bruce K.; Hall, Brian C.; Kemp, Todd
2020
A functional integral approaches to the Makeenko-Migdal equations. Zbl 07083970
Driver, Bruce K.
2019
The parabolic Anderson model on Riemann surfaces. Zbl 1427.60120
Dahlqvist, Antoine; Diehl, Joscha; Driver, Bruce K.
2019
Controlled rough paths on manifolds. I. Zbl 1382.58029
Driver, Bruce K.; Semko, Jeremy S.
2017
On the integration of weakly geometric rough paths. Zbl 1360.60104
Cass, Thomas; Driver, Bruce K.; Lim, Nengli; Litterer, Christian
2016
Holomorphic functions and the Itô chaos. Zbl 1336.32019
Driver, Bruce K.
2015
Growth of Taylor coefficients over complex homogeneous spaces. Zbl 1208.43002
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
2010
Simplicity of solutions of $$x'(t)=bx(t-1)$$. Zbl 0728.34068
Driver, Bruce K.; Driver, R. D.
1991
The complex-time Segal-Bargmann transform. Zbl 1427.43008
Driver, Bruce K.; Hall, Brian C.; Kemp, Todd
2020
A functional integral approaches to the Makeenko-Migdal equations. Zbl 07083970
Driver, Bruce K.
2019
The parabolic Anderson model on Riemann surfaces. Zbl 1427.60120
Dahlqvist, Antoine; Diehl, Joscha; Driver, Bruce K.
2019
Three proofs of the Makeenko-Migdal equation for Yang-Mills theory on the plane. Zbl 1361.81091
Driver, Bruce K.; Hall, Brian C.; Kemp, Todd
2017
The Makeenko-Migdal equation for Yang-Mills theory on compact surfaces. Zbl 1364.81183
Driver, Bruce K.; Gabriel, Franck; Hall, Brian C.; Kemp, Todd
2017
Controlled rough paths on manifolds. I. Zbl 1382.58029
Driver, Bruce K.; Semko, Jeremy S.
2017
Hypoelliptic heat kernels on infinite-dimensional Heisenberg groups. Zbl 1341.58017
Driver, Bruce K.; Eldredge, Nathaniel; Melcher, Tai
2016
Equivalence of the Brownian and energy representations. Zbl 1360.22026
Albeverio, S.; Driver, B. K.; Gordina, Maria; Vershik, A. M.
2016
On the integration of weakly geometric rough paths. Zbl 1360.60104
Cass, Thomas; Driver, Bruce K.; Lim, Nengli; Litterer, Christian
2016
Constrained rough paths. Zbl 1338.60137
Cass, Thomas; Driver, Bruce K.; Litterer, Christian
2015
Holomorphic functions and the Itô chaos. Zbl 1336.32019
Driver, Bruce K.
2015
The large-$$N$$ limit of the Segal-Bargmann transform on $$\mathbb U_N$$. Zbl 1286.22010
Driver, Bruce K.; Hall, Brian C.; Kemp, Todd
2013
Square integrable holomorphic functions on infinite-dimensional Heisenberg type groups. Zbl 1197.35127
Driver, Bruce K.; Gordina, Maria
2010
Growth of Taylor coefficients over complex homogeneous spaces. Zbl 1208.43002
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
2010
Holomorphic functions and subelliptic heat kernels over Lie groups. Zbl 1193.32023
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
2009
Integrated Harnack inequalities on Lie groups. Zbl 1205.53044
Driver, Bruce K.; Gordina, Maria
2009
Surjectivity of the Taylor map for complex nilpotent Lie groups. Zbl 1158.22007
Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent
2009
Heat kernel analysis on infinite-dimensional Heisenberg groups. Zbl 1163.43005
Driver, Bruce K.; Gordina, Maria
2008
Heat kernel measure on loop and path groups. Zbl 1154.58019
Cecil, Matthew; Driver, Bruce K.
2008
Gradient estimates for positive harmonic functions by stochastic analysis. Zbl 1144.58020
Arnaudon, Marc; Driver, Bruce K.; Thalmaier, Anton
2007
Hypoelliptic heat kernel inequalities on the Heisenberg group. Zbl 1071.22005
Driver, Bruce K.; Melcher, Tai
2005
Curved Wiener space analysis. Zbl 1085.60032
Driver, Bruce K.
2004
Heat kernels measures and infinite dimensional analysis. Zbl 1048.58020
Driver, Bruce K.
2003
Heat equation derivative formulas for vector bundles. Zbl 0983.58018
Driver, Bruce K.; Thalmaier, Anton
2001
Absolute continuity of heat kernel measure with pinned Wiener measure on loop groups. Zbl 1018.60059
Driver, Bruce K.; Srimurthy, Vikram K.
2001
Equivalence of heat kernel measure and pinned Wiener measure on loop groups. Zbl 0964.22009
Aida, Shigeki; Driver, Bruce K.
2000
The energy representation has no non-zero fixed vectors. Zbl 0974.22018
Driver, Bruce K.; Hall, Brian C.
2000
Yang-Mills theory and the Segal-Bargmann transform. Zbl 0960.53043
Driver, Bruce K.; Hall, Brian C.
1999
Finite dimensional approximations to Wiener measure and path integral formulas on manifolds. Zbl 0943.58024
1999
The Lie bracket of adapted vector fields on Wiener spaces. Zbl 0924.60032
Driver, B. K.
1999
Integration by parts and quasi-invariance for heat kernel measures on loop groups. Zbl 0887.58062
Driver, Bruce K.
1997
Integration by parts for heat kernel measures revisited. Zbl 0907.60052
Driver, Bruce K.
1997
Logarithmic Sobolev inequalities for pinned loop groups. Zbl 0859.22012
Driver, Bruce K.; Lohrenz, Terry
1996
On heat kernel logarithmic Sobolev inequalities. Zbl 0918.60039
Driver, Bruce K.; Hu, Yaozhong
1996
On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms. Zbl 0846.43001
Driver, Bruce K.
1995
Towards calculus and geometry on path spaces. Zbl 0821.60021
Driver, Bruce K.
1995
A Cameron-Martin type quasi-invariance theorem for pinned Brownian motion on a compact Riemannian manifold. Zbl 0792.60013
Driver, Bruce K.
1994
The non-equivalence of Dirichlet forms on path spaces. Zbl 0819.31005
Driver, B. K.
1994
A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold. Zbl 0765.60064
Driver, Bruce K.
1992
Construction of diffusions on path and loop spaces of compact Riemannian manifolds. Zbl 0771.58047
Driver, Bruce K.; Röckner, Michaël
1992
Simplicity of solutions of $$x'(t)=bx(t-1)$$. Zbl 0728.34068
Driver, Bruce K.; Driver, R. D.
1991
YM$$_ 2$$: Continuum expectations, lattice convergence, and lassos. Zbl 0819.58043
Driver, Bruce K.
1989
Classifications of bundle connection pairs by parallel translation and lassos. Zbl 0676.53033
Driver, Bruce K.
1989
Convergence of the $$U(1)_ 4$$ lattice gauge theory to its continuum limit. Zbl 0638.58031
Driver, Bruce K.
1987
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#### Cited by 302 Authors

 24 Driver, Bruce K. 19 Fang, Shizan 18 Gordina, Maria 18 Hall, Brian C. 15 Léandre, Rémi 14 Thalmaier, Anton 10 Güneysu, Batu 9 Cruzeiro, Ana-Bela 9 Sengupta, Ambar N. 9 Shao, Jinghai 9 Wang, Feng-Yu 9 Wu, Bo 8 Albeverio, Sergio A. 8 Baudoin, Fabrice 7 Aida, Shigeki 7 Cheng, Lijuan 7 Gross, Leonard 7 Kemp, Todd A. 7 Melcher, Tai 6 Arnaudon, Marc 6 Bonnefont, Michel 6 Li, Xiang-Dong 6 Li, Xue-Mei 6 Malliavin, Paul 6 Zegarlinski, Boguslaw 5 Airault, Hélène 5 Bogachev, Vladimir Igorevich 5 Chen, Xin 5 Elworthy, K. David 5 Nunes, João Pedro Vidal 5 Röckner, Michael 5 Zhang, Xicheng 4 Bell, Denis R. 4 Cecil, Matthew 4 Dahlqvist, Antoine 4 Eldredge, Nathaniel Gilbert Bartsch 4 Inahama, Yuzuru 4 Lyons, Terence John 4 Mitchell, Jeffrey J. 4 Saloff-Coste, Laurent 4 Volkov, Boris O. 3 Eberle, Andreas 3 Fan, Xiliang 3 Gong, Fuzhou 3 Hahn, Atle 3 Kirwin, William D. 3 Kontis, Vasilis 3 Laetsch, Thomas 3 Luo, Dejun 3 Mayer-Wolf, Eduardo 3 Mourão, José 3 Privault, Nicolas 3 Qian, Bin 3 Qian, Zhongmin M. 3 Sawin, Stephen F. 3 Smolyanov, Oleg Georgievich 3 von Weizsäcker, Heinrich 3 Wittich, Olaf 3 Xiang, Kai-Nan 3 Zhang, Jingxiao 2 Amour, Laurent 2 Bailleul, Ismaël F. 2 Bauer, Robert Otto 2 Brzeźniak, Zdzisław 2 Kinderknecht, Yana A. 2 Cass, Thomas Richard 2 Cébron, Guillaume 2 Chafaï, Djalil 2 Chatterjee, Sourav 2 Coulhon, Thierry 2 Daletskii, Alexei 2 Fine, Dana Stanley 2 Fleischhack, Christian 2 Arango Florentino, Carlos Armindo 2 Grong, Erlend 2 Ho, Ching Wei 2 Hsu, Elton P. 2 Hu, Yaozhong 2 Huebschmann, Johannes 2 Inglis, James D. 2 Jager, Lisette 2 Jendoubi, Souheyl 2 Jørgensen, Palle E. T. 2 Juillet, Nicolas 2 Kalinichenko, Artem A. 2 Koskela, Pekka 2 Li, Hongquan 2 Löbus, Jörg-Uwe 2 Ludewig, Matthias 2 Ma, Zhi-Ming 2 Mariano, Phanuel A. 2 Mourão, José M. 2 Nakasho, Kazuhisa 2 Neeb, Karl-Hermann 2 Norris, James R. 2 Nourrigat, Jean Francois 2 Ólafsson, Gestur 2 Ouerdiane, Habib 2 Paycha, Sylvie 2 Perez, Joe J. ...and 202 more Authors
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#### Cited in 80 Serials

 85 Journal of Functional Analysis 26 Communications in Mathematical Physics 25 Infinite Dimensional Analysis, Quantum Probability and Related Topics 17 Bulletin des Sciences Mathématiques 15 Potential Analysis 11 Journal of Mathematical Physics 11 The Annals of Probability 10 Transactions of the American Mathematical Society 10 Probability Theory and Related Fields 9 Journal of Geometry and Physics 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Stochastic Processes and their Applications 8 Journal of Mathematical Sciences (New York) 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Reviews in Mathematical Physics 5 Journal of Theoretical Probability 4 Journal of Mathematical Analysis and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the American Mathematical Society 4 Statistics & Probability Letters 4 Stochastic Analysis and Applications 4 Frontiers of Mathematics in China 3 Advances in Mathematics 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 The Journal of Geometric Analysis 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 International Journal of Geometric Methods in Modern Physics 3 Science China. Mathematics 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Reports on Mathematical Physics 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal für die Reine und Angewandte Mathematik 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Science in China. Series A 2 Bulletin of the American Mathematical Society. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Stochastics 2 Formalized Mathematics 1 Archive for Rational Mechanics and Analysis 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Acta Mathematica 1 Automatica 1 Illinois Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 SIAM Journal on Mathematical Analysis 1 Chinese Science Bulletin 1 Applied and Computational Harmonic Analysis 1 Journal of Inverse and Ill-Posed Problems 1 Integral Transforms and Special Functions 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Doklady Mathematics 1 Functional Differential Equations 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Stochastics and Dynamics 1 Milan Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Confluentes Mathematici 1 International Journal of Functional Analysis, Operator Theory and Applications 1 Journal of Spectral Theory 1 Forum of Mathematics, Sigma 1 Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Annales Henri Lebesgue
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#### Cited in 45 Fields

 209 Global analysis, analysis on manifolds (58-XX) 188 Probability theory and stochastic processes (60-XX) 68 Quantum theory (81-XX) 64 Partial differential equations (35-XX) 56 Differential geometry (53-XX) 54 Topological groups, Lie groups (22-XX) 43 Functional analysis (46-XX) 43 Operator theory (47-XX) 29 Abstract harmonic analysis (43-XX) 19 Measure and integration (28-XX) 16 Several complex variables and analytic spaces (32-XX) 13 Potential theory (31-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Real functions (26-XX) 7 Functions of a complex variable (30-XX) 6 Mechanics of particles and systems (70-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Nonassociative rings and algebras (17-XX) 5 Integral transforms, operational calculus (44-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 3 Fluid mechanics (76-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)