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## Rudyak, Yuli B.

Compute Distance To:
 Author ID: rudyak.yuli-b Published as: Rudyak, Y.; Rudyak, Y. B.; Rudyak, Yu.; Rudyak, Yu. B.; Rudyak, Yuli; Rudyak, Yuli B. External Links: MGP · Wikidata
 Documents Indexed: 67 Publications since 1973, including 3 Books Reviewing Activity: 156 Reviews
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#### Co-Authors

 30 single-authored 9 Tralle, Aleksy E. 5 Dranishnikov, Alexander Nikolaevich 5 Ibáñez, Raúl 5 Katz, Mikhail G. 4 Pazhitnov, Andrei Vladimirovich 3 Chernov, Vladimir V. 3 Kȩdra, Jarek 3 Khokhlov, Andreĭ Vladimirovich 3 Ugarte, Luis 2 Akhmet’ev, Pëtr Mikhaĭlovich 2 Oprea, John F. 2 Sabourau, Stéphane 2 Schlenk, Felix 1 Basabe, Ibai 1 Efremovich, Vadim A. 1 Golasiński, Marek 1 Gonzalez, Jesus 1 Keesling, James Edgar 1 Pushkar, Petr E. 1 Salvatore, Paolo 1 Saveliev, Nikolai 1 Tamaki, Dai 1 Wahl, Nathalie
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#### Serials

 5 Topology and its Applications 4 Mathematical Notes 4 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 Soviet Mathematics. Doklady 3 IMRN. International Mathematics Research Notices 3 Mathematics of the USSR, Sbornik 2 Moscow University Mathematics Bulletin 2 Topological Methods in Nonlinear Analysis 2 Geometry & Topology 2 Journal of Fixed Point Theory and Applications 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Matematicheskie Zametki 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Annales de l’Institut Fourier 1 Commentarii Mathematici Helvetici 1 Journal of the London Mathematical Society. Second Series 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Topology 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Matematicheskiĭ Sbornik 1 Topology Proceedings 1 St. Petersburg Mathematical Journal 1 Mathematical Research Letters 1 Communications in Contemporary Mathematics 1 Algebraic & Geometric Topology 1 Banach Center Publications 1 Springer Monographs in Mathematics
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#### Fields

 51 Algebraic topology (55-XX) 39 Manifolds and cell complexes (57-XX) 19 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Algebraic geometry (14-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Category theory; homological algebra (18-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH

44 Publications have been cited 354 times in 235 Documents Cited by Year
On Thom spectra, orientability, and cobordism. Zbl 0906.55001
Rudyak, Yuli B.
1998
On higher analogs of topological complexity. Zbl 1187.55001
Rudyak, Yuli B.
2010
Small values of the Lusternik-Schnirelman category for manifolds. Zbl 1152.55002
Dranishnikov, Alexander N.; Katz, Mikhail G.; Rudyak, Yuli B.
2008
On category weight and its applications. Zbl 0927.55005
Rudyak, Yuli B.
1999
Higher topological complexity and its symmetrization. Zbl 1348.55005
Basabe, Ibai; González, Jesús; Rudyak, Yuli B.; Tamaki, Dai
2014
On the Berstein-Svarc theorem in dimension 2. Zbl 1171.55002
Dranishnikov, Alexander N.; Rudyak, Yuli B.
2009
Linking and causality in globally hyperbolic space-times. Zbl 1163.53043
Chernov, Vladimir V.; Rudyak, Yuli B.
2008
On the Lusternik-Schnirelmann category of symplectic manifolds and the Arnold conjecture. Zbl 0931.53039
Rudyak, Yuli B.; Oprea, John
1999
Systolic invariants of groups and 2-complexes via Grushko decomposition. Zbl 1142.53035
Rudyak, Yuli B.; Sabourau, Stéphane
2008
Lusternik-Schnirelmann category and systolic category of low-dimensional manifolds. Zbl 1112.55005
Katz, Mikhail G.; Rudyak, Yuli B.
2006
On Thom spaces, Massey products, and nonformal symplectic manifolds. Zbl 0972.53052
Rudyak, Yuli; Tralle, Aleksy
2000
On certain geometric and homotopy properties of closed symplectic manifolds. Zbl 1033.53077
Ibáñez, Raúl; Rudyak, Yuli; Tralle, Aleksy; Ugarte, Luis
2003
On analytical applications of stable homotopy (the Arnold conjecture, critical points). Zbl 0948.37044
Rudyak, Yuli B.
1999
Bounding volume by systoles of 3-manifolds. Zbl 1156.53024
Katz, Mikhail G.; Rudyak, Yuli B.
2008
Detecting elements and Lusternik-Schnirelmann category of 3-manifolds. Zbl 1029.55006
Oprea, John; Rudyak, Yuli
2002
On symplectically harmonic forms on six-dimensional nil-manifolds. Zbl 0999.53049
Ibáñez, R.; Rudyak, Yu.; Tralle, A.; Ugarte, L.
2001
Toward a general theory of linking invariants. Zbl 1085.57020
Chernov, Vladimir V.; Rudyak, Yuli B.
2005
On fundamental groups of symplectically aspherical manifolds. Zbl 1065.57027
Ibáñez, R.; Kedra, J.; Rudyak, Yu.; Tralle, A.
2004
Stable systolic category of manifolds and the cup-length. Zbl 1213.55002
Dranishnikov, Alexander N.; Rudyak, Yuli B.
2009
Systoles of 2-complexes, Reeb graph, and Grushko decomposition. Zbl 1116.57001
Katz, Mikhail G.; Rudyak, Yuli B.; Sabourau, Stéphane
2006
Symplectically aspherical manifolds. Zbl 1149.53320
Kȩdra, Jarek; Rudyak, Yuli; Tralle, Aleksy
2008
On symplectic manifolds with aspherical symplectic form. Zbl 0973.55004
Rudyak, Yuli; Tralle, Aleksy
1999
On topological complexity of Eilenberg-MacLane spaces. Zbl 1342.55003
Rudyak, Yuli
2016
Minimal atlases of closed symplectic manifolds. Zbl 1153.53337
Rudyak, Yu. B.; Schlenk, Felix
2007
Piecewise linear structures on topological manifolds. Zbl 1356.57003
Rudyak, Yuli
2016
Lusternik-Schnirelmann theory for fixed points of maps. Zbl 1044.37011
Rudyak, Yuli B.; Schlenk, Felix
2003
Category weight: New ideas concerning Lusternik-Schnirelmann category. Zbl 0927.55004
Rudyak, Yuli B.
1998
On the Ganea conjecture for manifolds. Zbl 0882.55003
Rudyak, Yu. B.
1997
Cohomological dimension, self-linking, and systolic geometry. Zbl 1253.53039
Dranishnikov, Alexander N.; Katz, Mikhail G.; Rudyak, Yuli B.
2011
Erratum to “On higher analogs of topological complexity”. Zbl 1194.55009
Rudyak, Yuli B.
2010
On fundamental groups of symplectically aspherical manifolds. II: Abelian groups. Zbl 1124.57010
Kȩdra, J.; Rudyak, Yu.; Tralle, A.
2007
Examples of non-formal closed $$(k-1)$$-connected manifolds of dimensions $$\geq 4k-1$$. Zbl 1083.55012
Dranishnikov, Alex N.; Rudyak, Yuli B.
2005
Symplectically harmonic cohomology of nilmanifolds. Zbl 1043.53060
Ibáñez, R.; Rudyak, Yu.; Tralle, A.; Ugarte, L.
2003
On strict category weight, gradient-like flows, and the Arnold conjecture. Zbl 0973.37034
Rudyak, Yuli B.
2000
The spectra $$k$$ and $$kO$$ are not Thom spectra. Zbl 0891.55007
Rudyak, Yu. B.
1998
On commutative ring spectra of characteristic 2. Zbl 0578.55005
Pazhitnov, A. V.; Rudyak, Yu. B.
1985
On normal invariants of certain manifolds. Zbl 0315.55021
Rudyak, Yu. B.
1975
On generalized winding numbers. Zbl 1206.57031
Chernov, V. V.; Rudyak, Y. B.
2009
On fundamental groups of compact Hausdorff spaces. Zbl 1116.55005
Keesling, James E.; Rudyak, Yuli B.
2007
On the orientability of spherical, topological, and piecewise-linear fibrations in complex K-theory. Zbl 0695.55002
Rudyak, Yu. B.
1988
Realization of homology classes of PL-manifolds with singularities. Zbl 0632.57020
Rudyak, Yu. B.
1987
On commutative ring spectra of characteristic 2. Zbl 0564.55005
Pazhitnov, A. V.; Rudyak, Yu. B.
1984
Über Sätze Conner-Floydschen Typs in der Theorie der unitären Kobordismen. Zbl 0397.55006
Rudyak, Yu. B.
1978
On the fundamental group of a three-dimensional manifold. Zbl 0298.57002
Rudyak, Yu. B.
1973
On topological complexity of Eilenberg-MacLane spaces. Zbl 1342.55003
Rudyak, Yuli
2016
Piecewise linear structures on topological manifolds. Zbl 1356.57003
Rudyak, Yuli
2016
Higher topological complexity and its symmetrization. Zbl 1348.55005
Basabe, Ibai; González, Jesús; Rudyak, Yuli B.; Tamaki, Dai
2014
Cohomological dimension, self-linking, and systolic geometry. Zbl 1253.53039
Dranishnikov, Alexander N.; Katz, Mikhail G.; Rudyak, Yuli B.
2011
On higher analogs of topological complexity. Zbl 1187.55001
Rudyak, Yuli B.
2010
Erratum to “On higher analogs of topological complexity”. Zbl 1194.55009
Rudyak, Yuli B.
2010
On the Berstein-Svarc theorem in dimension 2. Zbl 1171.55002
Dranishnikov, Alexander N.; Rudyak, Yuli B.
2009
Stable systolic category of manifolds and the cup-length. Zbl 1213.55002
Dranishnikov, Alexander N.; Rudyak, Yuli B.
2009
On generalized winding numbers. Zbl 1206.57031
Chernov, V. V.; Rudyak, Y. B.
2009
Small values of the Lusternik-Schnirelman category for manifolds. Zbl 1152.55002
Dranishnikov, Alexander N.; Katz, Mikhail G.; Rudyak, Yuli B.
2008
Linking and causality in globally hyperbolic space-times. Zbl 1163.53043
Chernov, Vladimir V.; Rudyak, Yuli B.
2008
Systolic invariants of groups and 2-complexes via Grushko decomposition. Zbl 1142.53035
Rudyak, Yuli B.; Sabourau, Stéphane
2008
Bounding volume by systoles of 3-manifolds. Zbl 1156.53024
Katz, Mikhail G.; Rudyak, Yuli B.
2008
Symplectically aspherical manifolds. Zbl 1149.53320
Kȩdra, Jarek; Rudyak, Yuli; Tralle, Aleksy
2008
Minimal atlases of closed symplectic manifolds. Zbl 1153.53337
Rudyak, Yu. B.; Schlenk, Felix
2007
On fundamental groups of symplectically aspherical manifolds. II: Abelian groups. Zbl 1124.57010
Kȩdra, J.; Rudyak, Yu.; Tralle, A.
2007
On fundamental groups of compact Hausdorff spaces. Zbl 1116.55005
Keesling, James E.; Rudyak, Yuli B.
2007
Lusternik-Schnirelmann category and systolic category of low-dimensional manifolds. Zbl 1112.55005
Katz, Mikhail G.; Rudyak, Yuli B.
2006
Systoles of 2-complexes, Reeb graph, and Grushko decomposition. Zbl 1116.57001
Katz, Mikhail G.; Rudyak, Yuli B.; Sabourau, Stéphane
2006
Toward a general theory of linking invariants. Zbl 1085.57020
Chernov, Vladimir V.; Rudyak, Yuli B.
2005
Examples of non-formal closed $$(k-1)$$-connected manifolds of dimensions $$\geq 4k-1$$. Zbl 1083.55012
Dranishnikov, Alex N.; Rudyak, Yuli B.
2005
On fundamental groups of symplectically aspherical manifolds. Zbl 1065.57027
Ibáñez, R.; Kedra, J.; Rudyak, Yu.; Tralle, A.
2004
On certain geometric and homotopy properties of closed symplectic manifolds. Zbl 1033.53077
Ibáñez, Raúl; Rudyak, Yuli; Tralle, Aleksy; Ugarte, Luis
2003
Lusternik-Schnirelmann theory for fixed points of maps. Zbl 1044.37011
Rudyak, Yuli B.; Schlenk, Felix
2003
Symplectically harmonic cohomology of nilmanifolds. Zbl 1043.53060
Ibáñez, R.; Rudyak, Yu.; Tralle, A.; Ugarte, L.
2003
Detecting elements and Lusternik-Schnirelmann category of 3-manifolds. Zbl 1029.55006
Oprea, John; Rudyak, Yuli
2002
On symplectically harmonic forms on six-dimensional nil-manifolds. Zbl 0999.53049
Ibáñez, R.; Rudyak, Yu.; Tralle, A.; Ugarte, L.
2001
On Thom spaces, Massey products, and nonformal symplectic manifolds. Zbl 0972.53052
Rudyak, Yuli; Tralle, Aleksy
2000
On strict category weight, gradient-like flows, and the Arnold conjecture. Zbl 0973.37034
Rudyak, Yuli B.
2000
On category weight and its applications. Zbl 0927.55005
Rudyak, Yuli B.
1999
On the Lusternik-Schnirelmann category of symplectic manifolds and the Arnold conjecture. Zbl 0931.53039
Rudyak, Yuli B.; Oprea, John
1999
On analytical applications of stable homotopy (the Arnold conjecture, critical points). Zbl 0948.37044
Rudyak, Yuli B.
1999
On symplectic manifolds with aspherical symplectic form. Zbl 0973.55004
Rudyak, Yuli; Tralle, Aleksy
1999
On Thom spectra, orientability, and cobordism. Zbl 0906.55001
Rudyak, Yuli B.
1998
Category weight: New ideas concerning Lusternik-Schnirelmann category. Zbl 0927.55004
Rudyak, Yuli B.
1998
The spectra $$k$$ and $$kO$$ are not Thom spectra. Zbl 0891.55007
Rudyak, Yu. B.
1998
On the Ganea conjecture for manifolds. Zbl 0882.55003
Rudyak, Yu. B.
1997
On the orientability of spherical, topological, and piecewise-linear fibrations in complex K-theory. Zbl 0695.55002
Rudyak, Yu. B.
1988
Realization of homology classes of PL-manifolds with singularities. Zbl 0632.57020
Rudyak, Yu. B.
1987
On commutative ring spectra of characteristic 2. Zbl 0578.55005
Pazhitnov, A. V.; Rudyak, Yu. B.
1985
On commutative ring spectra of characteristic 2. Zbl 0564.55005
Pazhitnov, A. V.; Rudyak, Yu. B.
1984
Über Sätze Conner-Floydschen Typs in der Theorie der unitären Kobordismen. Zbl 0397.55006
Rudyak, Yu. B.
1978
On normal invariants of certain manifolds. Zbl 0315.55021
Rudyak, Yu. B.
1975
On the fundamental group of a three-dimensional manifold. Zbl 0298.57002
Rudyak, Yu. B.
1973
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#### Cited by 252 Authors

 18 Dranishnikov, Alexander Nikolaevich 17 Rudyak, Yuli B. 12 Katz, Mikhail G. 10 Oprea, John F. 9 Grant, Mark 9 Prástaro, Agostino 7 Strom, Jeffrey A. 6 Chernov, Vladimir V. 6 Farber, Michael S. 6 Gonzalez, Jesus 6 Sabourau, Stéphane 5 Kȩdra, Jarek 5 Sadykov, Rustam 5 Tralle, Aleksy E. 4 Iwase, Norio 4 Schlenk, Felix 4 Stanley, Donald A. 3 Balacheff, Florent 3 Fernández Rodríguez, Marisa 3 Katz, Karin Usadi 3 Kishimoto, Daisuke 3 Lupton, Gregory M. 3 Mescher, Stephan 3 Muñoz Velázquez, Vicente 3 Nemirovskiĭ, Stefan Yur’evich 3 Shnider, Steven 3 Ugarte, Luis 3 Vandembroucq, Lucile 2 Arkowitz, Martin 2 Babenko, Ivan K. 2 Banagl, Markus 2 Bangert, Victor 2 Bautista, Alfredo 2 Blagojević, Pavle V. M. 2 Borat, Ayşe 2 Cárdenas, Manuel 2 Casacuberta, Carles 2 Chernov, Vladimir M. 2 Cohen, Daniel C. 2 Colman, Hellen 2 Davis, Donald M. 2 Gal, Światosław R. 2 Ganter, Nora 2 Gómez Larrañaga, José Carlos 2 González Acuña, Francisco Javier 2 Gutiérrez, Bárbara 2 Hajduk, Bogusław 2 Heil, Wolfgang H. 2 Ibáñez, Raúl 2 Ibort, Alberto 2 Kim, Dohyung 2 Kinlaw, Paul A. 2 Lafuente, Javier 2 Limonchenko, Ivan Yur’evich 2 Macias-Virgós, Enrique 2 Marzantowicz, Wacław 2 Mathew, Akhil 2 Mukerjee, Himadri Kumar 2 Munson, Brian A. 2 Nariman, Sam 2 Naumann, Niko 2 Noel, Justin 2 Paul, Amit Kumar 2 Pavešić, Petar 2 Pelayo, Alvaro 2 Pereira-Sáez, María José 2 Quintero, Antonio 2 Sakai, Michihiro 2 Sawai, Hiroshi 2 Scherer, Jérôme 2 Tanré, Daniel 2 Weinberger, Shmuel 2 Ziegler, Günter Matthias 1 Abouzaid, Mohammed 1 Albers, Peter 1 Allday, Christopher 1 Andersen, Hanne 1 Ando, Matthew 1 Angel, Aviela 1 Astey, Luis 1 Bakuradze, Malkhaz 1 Basabe, Ibai 1 Bayeh, Marzieh 1 Bazzoni, Giovanni 1 Biswas, Indranil 1 Błaszczyk, Zbigniew 1 Bolotov, Dmitry V. 1 Braverman, Maxim 1 Buhovsky, Lev 1 Buijs, Urtzi 1 Bukhshtaber, Viktor Matveevich 1 Bulteau, Guillaume 1 Bunke, Ulrich 1 Cadavid-Aguilar, Natalia 1 Calegari, Danny Matthew Cornelius 1 Cantero Morán, Federico 1 Carrasquel-Vera, José Gabriel 1 Carrasquel, J. G. 1 Carrasquel, José 1 Cavalcanti, Gil Ramos ...and 152 more Authors
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#### Cited in 77 Serials

 32 Topology and its Applications 23 Algebraic & Geometric Topology 15 Proceedings of the American Mathematical Society 10 Geometry & Topology 9 Transactions of the American Mathematical Society 7 Mathematische Zeitschrift 6 Israel Journal of Mathematics 6 Journal of Geometry and Physics 6 Geometriae Dedicata 5 Advances in Mathematics 5 Journal of Topology and Analysis 4 Journal of Mathematical Physics 4 Journal für die Reine und Angewandte Mathematik 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Homotopy and Related Structures 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal of Pure and Applied Algebra 3 Differential Geometry and its Applications 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Journal of Topology 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Applied Mathematics and Computation 2 Inventiones Mathematicae 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Mathematical and Computer Modelling 2 Forum Mathematicum 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 St. Petersburg Mathematical Journal 2 The New York Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Fixed Point Theory and Applications 2 Journal of Applied and Computational Topology 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 General Relativity and Gravitation 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Journal of Differential Equations 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the Moscow Mathematical Society 1 Discrete & Computational Geometry 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Annals of Physics 1 Journal of Knot Theory and its Ramifications 1 Topological Methods in Nonlinear Analysis 1 Selecta Mathematica. New Series 1 Theory and Applications of Categories 1 Izvestiya: Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Advances in Geometry 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of $$K$$-Theory 1 Applied General Topology 1 Complex Manifolds
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#### Cited in 33 Fields

 148 Algebraic topology (55-XX) 98 Manifolds and cell complexes (57-XX) 80 Differential geometry (53-XX) 22 Global analysis, analysis on manifolds (58-XX) 18 Algebraic geometry (14-XX) 13 Group theory and generalizations (20-XX) 13 Computer science (68-XX) 13 Relativity and gravitational theory (83-XX) 11 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 $$K$$-theory (19-XX) 8 Convex and discrete geometry (52-XX) 7 Several complex variables and analytic spaces (32-XX) 7 General topology (54-XX) 5 Category theory; homological algebra (18-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Commutative algebra (13-XX) 4 Functions of a complex variable (30-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Fluid mechanics (76-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)

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