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## Murakami, Hitoshi

Compute Distance To:
 Author ID: murakami.hitoshi Published as: Murakami, H.; Murakami, Hitoshi
 Documents Indexed: 66 Publications since 1983, including 1 Book Reviewing Activity: 144 Reviews
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#### Co-Authors

 38 single-authored 7 Ohtsuki, Tomotada 5 Murakami, Jun 3 Yokota, Yoshiyuki 2 Gukov, Sergei 2 Hikami, Kazuhiro 2 Le, Thang Tu Quoc 2 Yasuhara, Akira 1 Chmutov, Sergei V. 1 Goryunov, Victor V. 1 Kálmán, Tamás 1 Kanenobu, Taizo 1 Kawauchi, Akio 1 Kobayashi, Tsuyoshi 1 Kouji, Sugishita 1 Nakanishi, Yasutaka 1 Okada, Masae 1 Okamoto, Miyuki 1 Sakai, Sakuko 1 Sugishita, Kouji 1 Takata, Toshie 1 Tran, Anh Tuan 1 Yamada, Shuji
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#### Serials

 6 Kobe Journal of Mathematics 5 RIMS Kokyuroku 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Proceedings of the Japan Academy. Series A 3 Topology and its Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica Vietnamica 2 Kyungpook Mathematical Journal 2 Osaka Journal of Mathematics 1 Letters in Mathematical Physics 1 Acta Mathematica 1 Advances in Mathematics 1 Fundamenta Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics Seminar Notes 1 Memoirs of the School of Science & Engineering 1 Pacific Journal of Mathematics 1 Topology 1 Questions and Answers in General Topology 1 Sugaku Expositions 1 International Journal of Mathematics 1 L’Enseignement Mathématique. 2e Série 1 Experimental Mathematics 1 The Asian Journal of Mathematics 1 Communications in Contemporary Mathematics 1 JP Journal of Geometry and Topology 1 Journal of Topology 1 Quantum Topology 1 SpringerBriefs in Mathematical Physics
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#### Fields

 64 Manifolds and cell complexes (57-XX) 7 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH

50 Publications have been cited 624 times in 469 Documents Cited by Year
The colored Jones polynomials and the simplicial volume of a knot. Zbl 0983.57009
Murakami, Hitoshi; Murakami, Jun
2001
On a certain move generating link-homology. Zbl 0646.57005
Murakami, Hitoshi; Nakanishi, Yasutaka
1989
Homfly polynomial via an invariant of colored plane graphs. Zbl 0958.57014
1998
Some metrics on classical knots. Zbl 0535.57005
Murakami, Hitoshi
1985
Kashaev’s conjecture and the Chern-Simons invariants of knots and links. Zbl 1117.57300
Murakami, Hitoshi; Murakami, Jun; Okamoto, Miyuki; Takata, Toshie; Yokota, Yoshiyuki
2002
Quantum $$SO(3)$$-invariants dominate the $$SU(2)$$-invariant of Casson and Walker. Zbl 0854.57016
Murakami, Hitoshi
1995
Quantum $$SU(2)$$-invariants dominate Casson’s $$SU(2)$$-invariant. Zbl 0832.57005
Murakami, Hitoshi
1994
Crosscap number of a knot. Zbl 0857.57004
Murakami, Hitoshi; Yasuhara, Akira
1995
Two-bridge knots with unknotting number one. Zbl 0613.57002
Kanenobu, Taizo; Murakami, Hitoshi
1986
Invariants of three-manifolds derived from linking matrices of framed links. Zbl 0776.57009
1992
$${SL(2, \mathbb{C})}$$ Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial. Zbl 1183.57012
Gukov, Sergei; Murakami, Hitoshi
2008
Four-genus and four-dimensional clasp number of a knot. Zbl 0955.57007
Murakami, Hitoshi; Yasuhara, Akira
2000
The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces. Zbl 1128.57011
Murakami, Hitoshi; Yokota, Yoshiyuki
2007
Asymptotic behaviors of the colored Jones polynomials of a torus knot. Zbl 1055.57015
Murakami, Hitoshi
2004
Cyclotomic invariants for links. Zbl 0668.57013
Kobayashi, Tsuyoshi; Murakami, Hitoshi; Murakami, Jun
1988
A recursive calculation of the Arf invariant of a link. Zbl 0605.57003
Murakami, Hitoshi
1986
An introduction to the volume conjecture. Zbl 1236.57005
Murakami, Hitoshi
2011
An introduction to the volume conjecture and its generalizations. Zbl 1179.57023
Murakami, Hitoshi
2008
$$SL(2,\mathbb C)$$ Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial. Zbl 1171.57012
Gukov, Sergei; Murakami, Hitoshi
2008
Kashaev’s invariant and the volume of a hyperbolic knot after Y. Yokota. Zbl 0983.57012
Murakami, Hitoshi
2001
On derivatives of the Jones polynomial. Zbl 0624.57003
Murakami, Hitoshi
1986
Some limits of the colored Jones polynomials of the figure-eight knot. Zbl 1079.57011
Murakami, Hitoshi
2004
A weight system derived from the multivariable Conway potential function. Zbl 0922.57008
Murakami, Hitoshi
1999
Vassiliev invariants of type two for a link. Zbl 0874.57004
Murakami, Hitoshi
1996
Volume conjecture for knots. Zbl 1410.57001
Murakami, Hitoshi; Yokota, Yoshiyuki
2018
The coloured Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of the figure-eight knot. Zbl 1295.57018
Murakami, Hitoshi
2013
Representations and the colored Jones polynomial of a torus knot. Zbl 1276.57011
Hikami, Kazuhiro; Murakami, Hitoshi
2011
Finite type invariants of knots via their Seifert matrices. Zbl 1015.57004
2001
Optimistic calculations about the Witten-Reshetikhin-Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries. Zbl 0969.57504
Murakami, Hitoshi
2000
Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves. Zbl 0957.57005
Chmutov, S.; Goryunov, V.; Murakami, H.
2000
Delta-unknotting number and the Conway polynomial. Zbl 0821.57005
Murakami, Hitoshi
1993
Algebraic unknotting operation. Zbl 0704.57004
Murakami, Hitoshi
1990
A formula for the two-variable link polynomial. Zbl 0633.57003
Murakami, Hitoshi
1987
The colored Jones polynomials and the Alexander polynomial of the figure-eight knot. Zbl 1136.57006
Murakami, Hitoshi
2007
A version of the volume conjecture. Zbl 1121.57006
Murakami, Hitoshi
2007
A three-manifold invariant via the Kontsevich integral. Zbl 0959.57007
Thang Tu Quoc Le; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
1999
A three-manifold invariant derived from the universal Vassiliev-Kontsevich invariant. Zbl 0863.57011
Le, Thang Q. T.; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
1995
The twisted Reidemeister torsion of an iterated torus knot. Zbl 1427.57003
Murakami, Hitoshi
2019
Root polytopes, parking functions, and the HOMFLY polynomial. Zbl 1381.57011
Kálmán, Tamás; Murakami, Hitoshi
2017
The colored Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of a twice-iterated torus knot. Zbl 1348.57028
Murakami, Hitoshi
2014
Colored Jones polynomials with polynomial growth. Zbl 1165.57011
Hikami, Kazuhiro; Murakami, Hitoshi
2008
A quantum introduction to knot theory. Zbl 1134.57301
Murakami, Hitoshi
2006
Triple points and knot cobordism. Zbl 0564.57004
Murakami, Hitoshi; Kouji, Sugishita
1984
The Arf invariant and the Conway polynomial of a link. Zbl 0595.57008
Murakami, Hitoshi
1983
On the T-genus of knot cobordism. Zbl 0522.57008
Kawauchi, Akio; Murakami, Hitoshi; Sugishita, Kouji
1983
Approximations to the distribution of sum of independent non-identically gamma random variables. Zbl 1405.62025
Murakami, H.
2015
Current status of the volume conjecture. Zbl 1392.57011
Murakami, Hitoshi
2013
Various generalizations of the volume conjecture. Zbl 1159.57006
Murakami, Hitoshi
2007
The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries. Zbl 1095.57015
Murakami, Hitoshi
2004
Sharp-unknotting number and the Alexander module. Zbl 0797.57005
Murakami, Hitoshi; Sakai, Sakuko
1993
The twisted Reidemeister torsion of an iterated torus knot. Zbl 1427.57003
Murakami, Hitoshi
2019
Volume conjecture for knots. Zbl 1410.57001
Murakami, Hitoshi; Yokota, Yoshiyuki
2018
Root polytopes, parking functions, and the HOMFLY polynomial. Zbl 1381.57011
Kálmán, Tamás; Murakami, Hitoshi
2017
Approximations to the distribution of sum of independent non-identically gamma random variables. Zbl 1405.62025
Murakami, H.
2015
The colored Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of a twice-iterated torus knot. Zbl 1348.57028
Murakami, Hitoshi
2014
The coloured Jones polynomial, the Chern-Simons invariant, and the Reidemeister torsion of the figure-eight knot. Zbl 1295.57018
Murakami, Hitoshi
2013
Current status of the volume conjecture. Zbl 1392.57011
Murakami, Hitoshi
2013
An introduction to the volume conjecture. Zbl 1236.57005
Murakami, Hitoshi
2011
Representations and the colored Jones polynomial of a torus knot. Zbl 1276.57011
Hikami, Kazuhiro; Murakami, Hitoshi
2011
$${SL(2, \mathbb{C})}$$ Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial. Zbl 1183.57012
Gukov, Sergei; Murakami, Hitoshi
2008
An introduction to the volume conjecture and its generalizations. Zbl 1179.57023
Murakami, Hitoshi
2008
$$SL(2,\mathbb C)$$ Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial. Zbl 1171.57012
Gukov, Sergei; Murakami, Hitoshi
2008
Colored Jones polynomials with polynomial growth. Zbl 1165.57011
Hikami, Kazuhiro; Murakami, Hitoshi
2008
The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces. Zbl 1128.57011
Murakami, Hitoshi; Yokota, Yoshiyuki
2007
The colored Jones polynomials and the Alexander polynomial of the figure-eight knot. Zbl 1136.57006
Murakami, Hitoshi
2007
A version of the volume conjecture. Zbl 1121.57006
Murakami, Hitoshi
2007
Various generalizations of the volume conjecture. Zbl 1159.57006
Murakami, Hitoshi
2007
A quantum introduction to knot theory. Zbl 1134.57301
Murakami, Hitoshi
2006
Asymptotic behaviors of the colored Jones polynomials of a torus knot. Zbl 1055.57015
Murakami, Hitoshi
2004
Some limits of the colored Jones polynomials of the figure-eight knot. Zbl 1079.57011
Murakami, Hitoshi
2004
The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries. Zbl 1095.57015
Murakami, Hitoshi
2004
Kashaev’s conjecture and the Chern-Simons invariants of knots and links. Zbl 1117.57300
Murakami, Hitoshi; Murakami, Jun; Okamoto, Miyuki; Takata, Toshie; Yokota, Yoshiyuki
2002
The colored Jones polynomials and the simplicial volume of a knot. Zbl 0983.57009
Murakami, Hitoshi; Murakami, Jun
2001
Kashaev’s invariant and the volume of a hyperbolic knot after Y. Yokota. Zbl 0983.57012
Murakami, Hitoshi
2001
Finite type invariants of knots via their Seifert matrices. Zbl 1015.57004
2001
Four-genus and four-dimensional clasp number of a knot. Zbl 0955.57007
Murakami, Hitoshi; Yasuhara, Akira
2000
Optimistic calculations about the Witten-Reshetikhin-Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries. Zbl 0969.57504
Murakami, Hitoshi
2000
Regular Legendrian knots and the HOMFLY polynomial of immersed plane curves. Zbl 0957.57005
Chmutov, S.; Goryunov, V.; Murakami, H.
2000
A weight system derived from the multivariable Conway potential function. Zbl 0922.57008
Murakami, Hitoshi
1999
A three-manifold invariant via the Kontsevich integral. Zbl 0959.57007
Thang Tu Quoc Le; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
1999
Homfly polynomial via an invariant of colored plane graphs. Zbl 0958.57014
1998
Vassiliev invariants of type two for a link. Zbl 0874.57004
Murakami, Hitoshi
1996
Quantum $$SO(3)$$-invariants dominate the $$SU(2)$$-invariant of Casson and Walker. Zbl 0854.57016
Murakami, Hitoshi
1995
Crosscap number of a knot. Zbl 0857.57004
Murakami, Hitoshi; Yasuhara, Akira
1995
A three-manifold invariant derived from the universal Vassiliev-Kontsevich invariant. Zbl 0863.57011
Le, Thang Q. T.; Murakami, Hitoshi; Murakami, Jun; Ohtsuki, Tomotada
1995
Quantum $$SU(2)$$-invariants dominate Casson’s $$SU(2)$$-invariant. Zbl 0832.57005
Murakami, Hitoshi
1994
Delta-unknotting number and the Conway polynomial. Zbl 0821.57005
Murakami, Hitoshi
1993
Sharp-unknotting number and the Alexander module. Zbl 0797.57005
Murakami, Hitoshi; Sakai, Sakuko
1993
Invariants of three-manifolds derived from linking matrices of framed links. Zbl 0776.57009
1992
Algebraic unknotting operation. Zbl 0704.57004
Murakami, Hitoshi
1990
On a certain move generating link-homology. Zbl 0646.57005
Murakami, Hitoshi; Nakanishi, Yasutaka
1989
Cyclotomic invariants for links. Zbl 0668.57013
Kobayashi, Tsuyoshi; Murakami, Hitoshi; Murakami, Jun
1988
A formula for the two-variable link polynomial. Zbl 0633.57003
Murakami, Hitoshi
1987
Two-bridge knots with unknotting number one. Zbl 0613.57002
Kanenobu, Taizo; Murakami, Hitoshi
1986
A recursive calculation of the Arf invariant of a link. Zbl 0605.57003
Murakami, Hitoshi
1986
On derivatives of the Jones polynomial. Zbl 0624.57003
Murakami, Hitoshi
1986
Some metrics on classical knots. Zbl 0535.57005
Murakami, Hitoshi
1985
Triple points and knot cobordism. Zbl 0564.57004
Murakami, Hitoshi; Kouji, Sugishita
1984
The Arf invariant and the Conway polynomial of a link. Zbl 0595.57008
Murakami, Hitoshi
1983
On the T-genus of knot cobordism. Zbl 0522.57008
Kawauchi, Akio; Murakami, Hitoshi; Sugishita, Kouji
1983
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#### Cited by 431 Authors

 20 Garoufalidis, Stavros 16 Murakami, Hitoshi 16 Yasuhara, Akira 15 Hikami, Kazuhiro 14 Nakanishi, Yasutaka 12 Kanenobu, Taizo 12 Ohyama, Yoshiyuki 11 Le, Thang Tu Quoc 10 Murakami, Jun 10 Shibuya, Tetsuo 9 Nikkuni, Ryo 8 Ohtsuki, Tomotada 8 Stoimenow, Alexander 8 Yokota, Yoshiyuki 7 Cho, Jinseok 7 Gang, Dongmin 7 Meilhan, Jean-Baptiste 6 Geer, Nathan 6 Habiro, Kazuo 6 Patureau-Mirand, Bertrand 6 Stošić, Marko 5 Costantino, Francesco 5 Gilmer, Patrick M. 5 Gukov, Sergei 5 Jeong, Myeong-Ju 5 Kalfagianni, Efstratia 5 Massuyeau, Gwénaël 5 Nawata, Satoshi 5 Rozansky, Lev 5 Tsukamoto, Tatsuya 5 van der Veen, Roland 4 Dimofte, Tudor Dan 4 Horiuchi, Sumiko 4 Kawauchi, Akio 4 Lawrence, Ruth J. 4 Lee, Sang Youl 4 Miyazawa, Haruko Aida 4 Seo, Myoungsoo 4 Taniyama, Kouki 4 Thuillier, Frank 3 Adams, Colin C. 3 Champanerkar, Abhijit 3 Detcherry, Renaud 3 Ganzell, Sandy 3 Ichihara, Kazuhiro 3 Ito, Noboru 3 Ito, Tetsuya 3 Khovanov, Mikhail G. 3 Kobayashi, Kazuaki 3 Kofman, Ilya 3 Kricker, Andrew 3 Lee, Christine Ruey Shan 3 Livingston, Charles 3 Mironov, Andrei D. 3 Mizusawa, Atsuhiko 3 Moriuchi, Hiromasa 3 Morozov, Alexei Yurievich 3 Nakamura, Takuji 3 Park, Chan-Young 3 Ramadevi, Pichai 3 Robert, Louis-Hadrien 3 Satoh, Shin 3 Takata, Toshie 3 Takimura, Yusuke 3 Teragaito, Masakazu 3 Wagner, Emmanuel 3 Wu, Hao 3 Yamada, Harumi 3 Zodinmawia 2 Abe, Tetsuya 2 Andersen, Jørgen Ellegaard 2 Bannai, Etsuko 2 Bao, Yuanyuan 2 Bar-Natan, Dror 2 Baseilhac, Stéphane 2 Bazhanov, Vladimir V. 2 Ben Aribi, Fathi 2 Benedetti, Riccardo 2 Bonahon, Francis 2 Borodzik, Maciej 2 Bryden, John M. 2 Bullock, Doug 2 Cautis, Sabin 2 Cerchiai, Bianca Letizia 2 Chbili, Nafaa 2 Chen, Qi 2 Cheng, Zhiyun 2 Dijkgraaf, Robbert H. 2 Feller, Peter 2 Frohman, Charles D. 2 Fuji, Hiroyuki 2 Funar, Louis 2 Gabella, Maxime 2 Gill, Amrendra 2 Han, Muxin 2 Higa, Ryuji 2 Inoue, Rei 2 Jabuka, Stanislav 2 Jang, Hee Jeong 2 Kamnitzer, Joel ...and 331 more Authors
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#### Cited in 87 Serials

 118 Journal of Knot Theory and its Ramifications 44 Topology and its Applications 40 Algebraic & Geometric Topology 19 Geometry & Topology 19 Journal of High Energy Physics 14 Communications in Mathematical Physics 14 Proceedings of the American Mathematical Society 12 International Journal of Mathematics 11 Advances in Mathematics 11 Osaka Journal of Mathematics 9 Transactions of the American Mathematical Society 7 Journal of Mathematical Physics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Mathematische Annalen 6 Tokyo Journal of Mathematics 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 Journal of Pure and Applied Algebra 5 Proceedings of the Japan Academy. Series A 5 Experimental Mathematics 5 Journal of Algebraic Combinatorics 5 Communications in Contemporary Mathematics 4 Letters in Mathematical Physics 4 Nuclear Physics. B 4 Selecta Mathematica. New Series 4 Quantum Topology 3 Israel Journal of Mathematics 3 Journal of Geometry and Physics 3 Journal für die Reine und Angewandte Mathematik 3 Chinese Annals of Mathematics. Series B 3 Journal of Topology 2 International Journal of Modern Physics A 2 Journal of Statistical Physics 2 Theoretical and Mathematical Physics 2 Acta Mathematica Vietnamica 2 Journal of Algebra 2 Journal of the Mathematical Society of Japan 2 Nagoya Mathematical Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Mathematics Magazine 1 Fortschritte der Physik 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Journal of Statistical Planning and Inference 1 Kyungpook Mathematical Journal 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Representation Theory 1 The Ramanujan Journal 1 Regular and Chaotic Dynamics 1 Acta Mathematica Sinica. English Series 1 Physical Review Letters 1 Journal of the Australian Mathematical Society 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Statistical Mechanics: Theory and Experiment 1 Involve 1 Journal of Topology and Analysis 1 Science China. Mathematics 1 Asia Pacific Journal of Mathematics 1 Research in the Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Algebraic Combinatorics 1 Japanese Journal of Statistics and Data Science
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#### Cited in 35 Fields

 433 Manifolds and cell complexes (57-XX) 57 Quantum theory (81-XX) 30 Nonassociative rings and algebras (17-XX) 30 Global analysis, analysis on manifolds (58-XX) 22 Group theory and generalizations (20-XX) 19 Combinatorics (05-XX) 17 Number theory (11-XX) 16 Algebraic geometry (14-XX) 15 Category theory; homological algebra (18-XX) 11 Differential geometry (53-XX) 7 Special functions (33-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Relativity and gravitational theory (83-XX) 6 Associative rings and algebras (16-XX) 6 Geometry (51-XX) 5 Algebraic topology (55-XX) 4 Commutative algebra (13-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 $$K$$-theory (19-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Biology and other natural sciences (92-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)