Tchórzewsk, Jerzy; Ruciński, Dariusz Quantum-inspired method of modeling the neuronal day-ahead market of the Polish electricity exchange. (English) Zbl 07504942 Control Cybern. 50, No. 3, 383-399 (2021). MSC: 68-XX 81-XX PDF BibTeX XML Cite \textit{J. Tchórzewsk} and \textit{D. Ruciński}, Control Cybern. 50, No. 3, 383--399 (2021; Zbl 07504942) OpenURL
Maslov, V. P. Submathematics and tropical mathematics. (English) Zbl 1468.00005 Math. Notes 109, No. 2, 241-246 (2021). MSC: 00A30 01A80 14Txx 15A80 PDF BibTeX XML Cite \textit{V. P. Maslov}, Math. Notes 109, No. 2, 241--246 (2021; Zbl 1468.00005) Full Text: DOI OpenURL
Chia, Nai-Hui; Gilyén, András; Li, Tongyang; Lin, Han-Hsuan; Tang, Ewin; Wang, Chunhao Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning. (English) Zbl 07298256 Makarychev, Konstantin (ed.) et al., Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC ’20, Chicago, IL, USA, June 22–26, 2020. New York, NY: Association for Computing Machinery (ACM). 387-400 (2020). MSC: 68Qxx PDF BibTeX XML Cite \textit{N.-H. Chia} et al., in: Proceedings of the 52nd annual ACM SIGACT symposium on theory of computing, STOC '20, Chicago, IL, USA, June 22--26, 2020. New York, NY: Association for Computing Machinery (ACM). 387--400 (2020; Zbl 07298256) Full Text: DOI arXiv OpenURL
Ligabò, Marilena Torus as phase space: Weyl quantization, dequantization, and Wigner formalism. (English) Zbl 1351.81066 J. Math. Phys. 57, No. 8, 082110, 25 p. (2016). Reviewer: Benjamin Cahen (Metz) MSC: 81S30 14M25 81S10 53D55 PDF BibTeX XML Cite \textit{M. Ligabò}, J. Math. Phys. 57, No. 8, 082110, 25 p. (2016; Zbl 1351.81066) Full Text: DOI arXiv OpenURL
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio On the invertibility of Born-Jordan quantization. (English. French summary) Zbl 1338.47057 J. Math. Pures Appl. (9) 105, No. 4, 537-557 (2016). MSC: 47G30 81S05 46F10 PDF BibTeX XML Cite \textit{E. Cordero} et al., J. Math. Pures Appl. (9) 105, No. 4, 537--557 (2016; Zbl 1338.47057) Full Text: DOI arXiv OpenURL
De Gosson, Maurice A. Born-Jordan quantization and the equivalence of the Schrödinger and Heisenberg pictures. (English) Zbl 1302.81115 Found. Phys. 44, No. 10, 1096-1106 (2014). MSC: 81S05 PDF BibTeX XML Cite \textit{M. A. De Gosson}, Found. Phys. 44, No. 10, 1096--1106 (2014; Zbl 1302.81115) Full Text: DOI arXiv OpenURL
Ben Halima, Majdi Coadjoint orbits of certain motion groups and their coherent states. (English) Zbl 1420.22006 J. Nonlinear Math. Phys. 20, No. 3, 420-430 (2013). MSC: 22D05 53D05 81R30 81S10 PDF BibTeX XML Cite \textit{M. Ben Halima}, J. Nonlinear Math. Phys. 20, No. 3, 420--430 (2013; Zbl 1420.22006) Full Text: DOI OpenURL
Cosentino, Alessandro; Kothari, Robin; Paetznick, Adam Dequantizing read-once quantum formulas. (English) Zbl 1356.68061 Severini, Simone (ed.) et al., 8th conference on the theory of quantum computation, communication and cryptography, TQC 2013, Guelph, Canada, May 21–23, 2013. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-55-2). LIPIcs – Leibniz International Proceedings in Informatics 22, 80-92 (2013). MSC: 68Q05 68Q12 81P68 94C10 PDF BibTeX XML Cite \textit{A. Cosentino} et al., LIPIcs -- Leibniz Int. Proc. Inform. 22, 80--92 (2013; Zbl 1356.68061) Full Text: DOI arXiv OpenURL
Litvinov, Grigory L. Idempotent/tropical analysis, the Hamilton-Jacobi and Bellman equations. (English) Zbl 1272.35072 Loreti, Paola (ed.) et al., Hamilton-Jacobi equations: approximations, numerical analysis and applications. Based on the lectures of the CIME summer school, Cetraro, Italy, August 29–September 3, 2011. Berlin: Springer; Florence: Fondazione CIME (ISBN 978-3-642-36432-7/pbk; 978-3-642-36433-4/ebook). Lecture Notes in Mathematics 2074. CIME Foundation Subseries, 251-301 (2013). MSC: 35F21 PDF BibTeX XML Cite \textit{G. L. Litvinov}, Lect. Notes Math. 2074, 251--301 (2013; Zbl 1272.35072) Full Text: DOI arXiv OpenURL
Maslov, V. P. Unbounded probability theory compatible with the probability theory of numbers. (English) Zbl 1290.60001 Math. Notes 91, No. 5, 697-703 (2012). MSC: 60A99 PDF BibTeX XML Cite \textit{V. P. Maslov}, Math. Notes 91, No. 5, 697--703 (2012; Zbl 1290.60001) Full Text: DOI OpenURL
Kozlov, V. V.; Smolyanov, O. G. Hamiltonian aspects of quantum theory. (English. Russian original) Zbl 1260.81092 Dokl. Math. 85, No. 3, 416-420 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 6, 607-611 (2012). MSC: 81Q20 81S30 81S10 70H05 PDF BibTeX XML Cite \textit{V. V. Kozlov} and \textit{O. G. Smolyanov}, Dokl. Math. 85, No. 3, 416--420 (2012; Zbl 1260.81092); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 6, 607--611 (2012) Full Text: DOI OpenURL
Viro, O. Ya. On basic concepts of tropical geometry. (English. Russian original) Zbl 1237.14074 Proc. Steklov Inst. Math. 273, 252-282 (2011); translation from Tr. Mat. Inst. Steklova 273, 271-303 (2011). Reviewer: Alexander Esterov (Moscow) MSC: 14T05 12K10 20N20 54A99 PDF BibTeX XML Cite \textit{O. Ya. Viro}, Proc. Steklov Inst. Math. 273, 252--282 (2011; Zbl 1237.14074); translation from Tr. Mat. Inst. Steklova 273, 271--303 (2011) Full Text: DOI OpenURL
Siersma, D.; van Manen, M. Medial axis and a moment map. (English) Zbl 1206.68323 Demonstr. Math. 43, No. 2, 375-385 (2010). MSC: 68U05 53A07 53D20 PDF BibTeX XML Cite \textit{D. Siersma} and \textit{M. van Manen}, Demonstr. Math. 43, No. 2, 375--385 (2010; Zbl 1206.68323) Full Text: DOI OpenURL
Hamilton, I. P.; Mosna, Ricardo A. Fisher information and kinetic energy functionals: a dequantization approach. (English) Zbl 1177.94108 J. Comput. Appl. Math. 233, No. 6, 1542-1547 (2010). MSC: 94A15 81Q99 PDF BibTeX XML Cite \textit{I. P. Hamilton} and \textit{R. A. Mosna}, J. Comput. Appl. Math. 233, No. 6, 1542--1547 (2010; Zbl 1177.94108) Full Text: DOI arXiv OpenURL
Brugallé, Erwan Some tropical geometry. (Un peu de géométrie tropicale.) (French) Zbl 1202.14055 Quadrature 74, 10-22 (2009). Reviewer: María Jesús de la Puente (Madrid) MSC: 14T05 14P05 14N05 PDF BibTeX XML Cite \textit{E. Brugallé}, Quadrature 74, 10--22 (2009; Zbl 1202.14055) Full Text: DOI OpenURL
Maslov, Victor Dequantization, statistical mechanics and econophysics. (English) Zbl 1180.82064 Litvinov, G. L. (ed.) et al., Tropical and idempotent mathematics. International workshop TROPICAL-07, Moscow, Russia, August 25–30, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4782-4/pbk). Contemporary Mathematics 495, 239-279 (2009). MSC: 82B30 91B02 81S99 82C22 60C05 46N10 46N55 91B80 PDF BibTeX XML Cite \textit{V. Maslov}, Contemp. Math. 495, 239--279 (2009; Zbl 1180.82064) OpenURL
Kirshtein, B. Kh. Complex roots of systems of tropical equations and stability of electrical power networks. (English) Zbl 1179.65053 Litvinov, G. L. (ed.) et al., Tropical and idempotent mathematics. International workshop TROPICAL-07, Moscow, Russia, August 25–30, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4782-4/pbk). Contemporary Mathematics 495, 213-238 (2009). MSC: 65H10 65H04 65H20 12Y05 14Q15 PDF BibTeX XML Cite \textit{B. Kh. Kirshtein}, Contemp. Math. 495, 213--238 (2009; Zbl 1179.65053) OpenURL
Alessandrini, Daniele Dequantization of real convex projective manifolds. (English) Zbl 1225.57011 Litvinov, G. L. (ed.) et al., Tropical and idempotent mathematics. International workshop TROPICAL-07, Moscow, Russia, August 25–30, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4782-4/pbk). Contemporary Mathematics 495, 61-85 (2009). Reviewer: Mahan Mj (Howrah) MSC: 57M50 14T05 PDF BibTeX XML Cite \textit{D. Alessandrini}, Contemp. Math. 495, 61--85 (2009; Zbl 1225.57011) OpenURL
van Oystaeyen, Freddy Noncommutative space from dynamical noncommutative geometries. (English) Zbl 1158.81010 J. Geom. Phys. 59, No. 2, 185-196 (2009). MSC: 81R60 83C65 58J42 PDF BibTeX XML Cite \textit{F. van Oystaeyen}, J. Geom. Phys. 59, No. 2, 185--196 (2009; Zbl 1158.81010) Full Text: DOI OpenURL
Kirshtein, B. Kh. Maslov dequantization and the homotopy method for solving systems of nonlinear algebraic equations. (English) Zbl 1149.14046 Math. Notes 83, No. 2, 201-210 (2008); translation from Mat. Zametki 83, No. 2, 221-231 (2008). Reviewer: Andrew Bucki (Edmond) MSC: 14Q10 14M25 65H05 81Q20 14P99 PDF BibTeX XML Cite \textit{B. Kh. Kirshtein}, Math. Notes 83, No. 2, 201--210 (2008; Zbl 1149.14046); translation from Mat. Zametki 83, No. 2, 221--231 (2008) Full Text: DOI OpenURL
Maslov, V. P. Secondary dequantization in algebraic and tropical geometry. (English. Russian original) Zbl 1167.14328 Math. Notes 82, No. 6, 860-862 (2007); translation from Mat. Zametki 82, No. 6, 953-954 (2007). MSC: 14P99 81T99 PDF BibTeX XML Cite \textit{V. P. Maslov}, Math. Notes 82, No. 6, 860--862 (2007; Zbl 1167.14328); translation from Mat. Zametki 82, No. 6, 953--954 (2007) Full Text: DOI OpenURL
Cahen, Benjamin Weyl quantization for principal series. (English) Zbl 1134.22010 Beitr. Algebra Geom. 48, No. 1, 175-190 (2007). Reviewer: Benjamin Cahen (Metz) MSC: 22E46 81S10 PDF BibTeX XML Cite \textit{B. Cahen}, Beitr. Algebra Geom. 48, No. 1, 175--190 (2007; Zbl 1134.22010) Full Text: EuDML EMIS OpenURL
Halbout, Gilles Formality theorems: from associators to a global formulation. (English) Zbl 1112.53067 Ann. Math. Blaise Pascal 13, No. 2, 313-348 (2006). Reviewer: Angela Gammella (Creil) MSC: 53D55 16E40 PDF BibTeX XML Cite \textit{G. Halbout}, Ann. Math. Blaise Pascal 13, No. 2, 313--348 (2006; Zbl 1112.53067) Full Text: DOI Numdam EuDML OpenURL
Litvinov, G. L. The Maslov dequantization, idempotent and tropical mathematics: a brief introduction. (Russian, English) Zbl 1102.46049 Zap. Nauchn. Semin. POMI 326, 145-182 (2005); translation in J. Math. Sci., New York 140, No. 3, 426-444 (2007). Reviewer: Nikolai I. Osetinski (Moskva) MSC: 46S10 00A05 81Q20 14P99 16Y60 68M07 PDF BibTeX XML Cite \textit{G. L. Litvinov}, Zap. Nauchn. Semin. POMI 326, 145--182 (2005; Zbl 1102.46049); translation in J. Math. Sci., New York 140, No. 3, 426--444 (2007) Full Text: arXiv EuDML Link OpenURL
Baklouti, Ali Dequantization of coadjoint orbits: moment sets and characteristic varieties. (English) Zbl 1077.22010 Litvinov, G. L. (ed.) et al., Idempotent mathematics and mathematical physics. Proceedings of the international workshop, Vienna, Austria, February 3–10, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3538-6/pbk). Contemporary Mathematics 377, 79-91 (2005). Reviewer: Manouchehr Misaghian (Charlotte) MSC: 22E27 17B37 22E25 58J50 PDF BibTeX XML Cite \textit{A. Baklouti}, Contemp. Math. 377, 79--91 (2005; Zbl 1077.22010) OpenURL
Baklouti, Ali; Dhieb, Sami; Manchon, Dominique Coadjoint orbits and characteristic varieties. (Orbites coadjointes et variétés caractéristiques.) (French) Zbl 1084.46057 J. Geom. Phys. 54, No. 1, 1-41 (2005). MSC: 46L65 53D55 16S80 PDF BibTeX XML Cite \textit{A. Baklouti} et al., J. Geom. Phys. 54, No. 1, 1--41 (2005; Zbl 1084.46057) Full Text: DOI arXiv OpenURL
Mauro, Danilo Coadjoint orbits, spin and dequantization. (English) Zbl 1247.81243 Phys. Lett., B 597, No. 1, 94-104 (2004). MSC: 81S40 PDF BibTeX XML Cite \textit{D. Mauro}, Phys. Lett., B 597, No. 1, 94--104 (2004; Zbl 1247.81243) Full Text: DOI arXiv OpenURL
Bolivar, A. O. Quantum-classical correspondence. Dynamical quantization and the classical limit. (English) Zbl 1074.81002 The Frontiers Collection. Berlin: Springer (ISBN 3-540-20146-7/hbk). xiii, 186 p. (2004). Reviewer: Stefan Berceanu (Bucureşti) MSC: 81-02 81S25 82B10 82B31 82C10 82C70 81P05 81S20 82C31 60J65 81S30 81P20 60G35 PDF BibTeX XML Cite \textit{A. O. Bolivar}, Quantum-classical correspondence. Dynamical quantization and the classical limit. Berlin: Springer (2004; Zbl 1074.81002) OpenURL
Karabegov, Alexander V. On the dequantization of Fedosov’s deformation quantization. (English) Zbl 1038.53091 Lett. Math. Phys. 65, No. 2, 133-146 (2003). Reviewer: Angela Gammella (Metz) MSC: 53D55 PDF BibTeX XML Cite \textit{A. V. Karabegov}, Lett. Math. Phys. 65, No. 2, 133--146 (2003; Zbl 1038.53091) Full Text: DOI arXiv OpenURL
Litvinov, G. L.; Maslov, V. P.; Shpiz, G. B. Idempotent (asymptotic) mathematics and the representation theory. (English) Zbl 1029.43004 Malyshev, V. A. (ed.) et al., Asymptotic combinatorics with application to mathematical physics. Proceedings of the NATO Advanced Study Institute, St. Petersburg, Russia, July 9-22, 2001. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 77, 267-278 (2002). Reviewer: Vasile Oproiu (Iaşi) MSC: 43A65 12J99 PDF BibTeX XML Cite \textit{G. L. Litvinov} et al., NATO Sci. Ser. II, Math. Phys. Chem. 77, 267--278 (2002; Zbl 1029.43004) Full Text: arXiv OpenURL
Philips, Wilfried; Denecker, Koen; De Neve, Peter; Van Assche, Steven Lossless quantization of Hadamard transform coefficients. (English) Zbl 0977.94004 IEEE Trans. Image Process. 9, No. 11, 1995-1999 (2000). MSC: 94A08 94A29 PDF BibTeX XML Cite \textit{W. Philips} et al., IEEE Trans. Image Process. 9, No. 11, 1995--1999 (2000; Zbl 0977.94004) Full Text: DOI OpenURL
Ali, S. Twareque; Antoine, J.-P.; Gazeau, J.-P.; Mueller, U. A. Coherent states and their generalizations: A mathematical overview. (English) Zbl 0837.43014 Rev. Math. Phys. 7, No. 7, 1013-1104 (1995). MSC: 43A85 81R30 22E45 PDF BibTeX XML Cite \textit{S. T. Ali} et al., Rev. Math. Phys. 7, No. 7, 1013--1104 (1995; Zbl 0837.43014) Full Text: DOI OpenURL
Cahen, Michel; Gutt, Simone; Rawnsley, John Quantization of Kähler manifolds. IV. (English) Zbl 0831.58026 Lett. Math. Phys. 34, No. 2, 159-168 (1995). MSC: 53D50 32M15 PDF BibTeX XML Cite \textit{M. Cahen} et al., Lett. Math. Phys. 34, No. 2, 159--168 (1995; Zbl 0831.58026) Full Text: DOI OpenURL
Cahen, Michel; Gutt, Simone; Rawnsley, John Quantization of Kähler manifolds. II. (English) Zbl 0788.53062 Trans. Am. Math. Soc. 337, No. 1, 73-98 (1993). MSC: 53C55 53D50 PDF BibTeX XML Cite \textit{M. Cahen} et al., Trans. Am. Math. Soc. 337, No. 1, 73--98 (1993; Zbl 0788.53062) Full Text: DOI OpenURL