Missarov, M. D.; Khajrullin, D. A. The renormalization group transformation in the generalized fermionic hierarchical model. (English. Russian original) Zbl 07771715 Izv. Math. 87, No. 5, 1011-1023 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 5, 164-176 (2023). MSC: 81T30 81Q65 11F33 83F05 92D20 PDFBibTeX XMLCite \textit{M. D. Missarov} and \textit{D. A. Khajrullin}, Izv. Math. 87, No. 5, 1011--1023 (2023; Zbl 07771715); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 5, 164--176 (2023) Full Text: DOI MNR
Aniello, Paolo; Mancini, Stefano; Parisi, Vincenzo Trace class operators and states in \(p\)-adic quantum mechanics. (English) Zbl 1512.81041 J. Math. Phys. 64, No. 5, Article ID 053506, 45 p. (2023). MSC: 81Q65 81P05 11E95 26E30 46S10 47S10 PDFBibTeX XMLCite \textit{P. Aniello} et al., J. Math. Phys. 64, No. 5, Article ID 053506, 45 p. (2023; Zbl 1512.81041) Full Text: DOI arXiv
van Diejen, Jan Felipe; Emsiz, Erdal; Zurrián, Ignacio N. Affine Pieri rule for periodic Macdonald spherical functions and fusion rings. arXiv:2305.01931 Preprint, arXiv:2305.01931 [math.RT] (2023). MSC: 05E05 17B67 33D52 33D80 81T40 BibTeX Cite \textit{J. F. van Diejen} et al., ``Affine Pieri rule for periodic Macdonald spherical functions and fusion rings'', Preprint, arXiv:2305.01931 [math.RT] (2023) Full Text: DOI arXiv OA License
Zúñiga-Galindo, W. A. Non-Archimedean statistical field theory. (English) Zbl 1513.81107 Rev. Math. Phys. 34, No. 8, Article ID 2250022, 41 p. (2022). MSC: 81T25 81T28 82B26 82B20 60G15 PDFBibTeX XMLCite \textit{W. A. Zúñiga-Galindo}, Rev. Math. Phys. 34, No. 8, Article ID 2250022, 41 p. (2022; Zbl 1513.81107) Full Text: DOI arXiv
van Diejen, J. F.; Emsiz, E.; Zurrián, I. N. Affine Pieri rule for periodic Macdonald spherical functions and fusion rings. (English) Zbl 1476.05206 Adv. Math. 392, Article ID 108027, 30 p. (2021). MSC: 05E10 05E05 14N15 17B67 33D52 33D80 81T40 20C08 PDFBibTeX XMLCite \textit{J. F. van Diejen} et al., Adv. Math. 392, Article ID 108027, 30 p. (2021; Zbl 1476.05206) Full Text: DOI
Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. Vertex operators, solvable lattice models and metaplectic Whittaker functions. (English) Zbl 1456.82097 Commun. Math. Phys. 380, No. 2, 535-579 (2020). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B20 33C15 16T05 16T25 20G42 33D80 17B69 17B80 37K60 15A66 PDFBibTeX XMLCite \textit{B. Brubaker} et al., Commun. Math. Phys. 380, No. 2, 535--579 (2020; Zbl 1456.82097) Full Text: DOI arXiv
Qu, Feng; Gao, Yi-hong The boundary theory of a spinor field theory on the Bruhat-Tits tree. (English) Zbl 1434.81115 Phys. Lett., B 803, Article ID 135331, 7 p. (2020). MSC: 81T40 81R25 PDFBibTeX XMLCite \textit{F. Qu} and \textit{Y.-h. Gao}, Phys. Lett., B 803, Article ID 135331, 7 p. (2020; Zbl 1434.81115) Full Text: DOI arXiv
Garbali, Alexandr; Wheeler, Michael Modified Macdonald polynomials and integrability. (English) Zbl 1436.82006 Commun. Math. Phys. 374, No. 3, 1809-1876 (2020). MSC: 82B20 82B05 33D80 PDFBibTeX XMLCite \textit{A. Garbali} and \textit{M. Wheeler}, Commun. Math. Phys. 374, No. 3, 1809--1876 (2020; Zbl 1436.82006) Full Text: DOI arXiv
Hung, Ling-Yan; Li, Wei; Melby-Thompson, Charles M. Wilson line networks in \(p\)-adic AdS/CFT. (English) Zbl 1416.81156 J. High Energy Phys. 2019, No. 5, Paper No. 118, 35 p. (2019). MSC: 81T40 58J28 11S31 81T25 PDFBibTeX XMLCite \textit{L.-Y. Hung} et al., J. High Energy Phys. 2019, No. 5, Paper No. 118, 35 p. (2019; Zbl 1416.81156) Full Text: DOI arXiv
Parikh, Sarthak Holographic dual of the five-point conformal block. (English) Zbl 1416.83103 J. High Energy Phys. 2019, No. 5, Paper No. 51, 23 p. (2019). MSC: 83E05 81T40 81T55 11S80 PDFBibTeX XMLCite \textit{S. Parikh}, J. High Energy Phys. 2019, No. 5, Paper No. 51, 23 p. (2019; Zbl 1416.83103) Full Text: DOI arXiv
Gayral, Victor; Jondreville, David Quantization of the affine group of a local field. (English) Zbl 1420.81017 J. Fractal Geom. 6, No. 2, 157-204 (2019). Reviewer: Dmitry Artamonov (Moskva) MSC: 81S30 81R30 81R60 22E35 11F85 46L65 PDFBibTeX XMLCite \textit{V. Gayral} and \textit{D. Jondreville}, J. Fractal Geom. 6, No. 2, 157--204 (2019; Zbl 1420.81017) Full Text: DOI arXiv
Hung, Ling-Yan; Li, Wei; Melby-Thompson, Charles M. \(p\)-adic CFT is a holographic tensor network. (English) Zbl 1415.81082 J. High Energy Phys. 2019, No. 4, Paper No. 170, 39 p. (2019). MSC: 81T40 83E05 22E35 81S40 81T17 PDFBibTeX XMLCite \textit{L.-Y. Hung} et al., J. High Energy Phys. 2019, No. 4, Paper No. 170, 39 p. (2019; Zbl 1415.81082) Full Text: DOI arXiv
Anashin, V. S.; Dragovich, B.; Kochubei, A. N.; Kozyrev, S. V.; Volovich, I. V. Andrei Yurievich Khrennikov and his research. (English) Zbl 1420.81005 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 344-347 (2018). MSC: 81P05 60A10 12H25 00A79 01A70 PDFBibTeX XMLCite \textit{V. S. Anashin} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 344--347 (2018; Zbl 1420.81005) Full Text: DOI
Abdesselam, Abdelmalek Towards three-dimensional conformal probability. (English) Zbl 1420.81023 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 233-252 (2018). MSC: 81T40 81T17 81T10 81T70 11K41 PDFBibTeX XMLCite \textit{A. Abdesselam}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 233--252 (2018; Zbl 1420.81023) Full Text: DOI arXiv
Saberi, Ingmar Holography and local fields. (English) Zbl 1420.81021 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 3, 151-165 (2018). MSC: 81T25 81T20 81T40 11F85 53C21 PDFBibTeX XMLCite \textit{I. Saberi}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 3, 151--165 (2018; Zbl 1420.81021) Full Text: DOI arXiv
Qu, Feng; Gao, Yi-hong Scalar fields on \(p\)AdS. (English) Zbl 1404.81240 Phys. Lett., B 786, 165-170 (2018). MSC: 81T40 81Q30 PDFBibTeX XMLCite \textit{F. Qu} and \textit{Y.-h. Gao}, Phys. Lett., B 786, 165--170 (2018; Zbl 1404.81240) Full Text: DOI arXiv
Khachatryan, A. Kh.; Khachatryan, Kh. A. Solvability of a class of nonlinear pseudo-differential equations in \(\mathbb{R}^n\). (English) Zbl 1402.35325 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 2, 90-99 (2018). MSC: 35S05 35B40 35Q40 PDFBibTeX XMLCite \textit{A. Kh. Khachatryan} and \textit{Kh. A. Khachatryan}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 2, 90--99 (2018; Zbl 1402.35325) Full Text: DOI
Heydeman, Matthew; Marcolli, Matilde; Saberi, Ingmar A.; Stoica, Bogdan Tensor networks, \(p\)-adic fields, and algebraic curves: arithmetic and the \(\mathrm{AdS}_3 / \mathrm{CFT}_2\) correspondence. (English) Zbl 1414.81207 Adv. Theor. Math. Phys. 22, No. 1, 93-176 (2018). Reviewer: Farhang Loran (Isfahan) MSC: 81T40 81T20 14H45 11F85 14G20 22E50 81P70 94B27 81T17 81P40 83C57 PDFBibTeX XMLCite \textit{M. Heydeman} et al., Adv. Theor. Math. Phys. 22, No. 1, 93--176 (2018; Zbl 1414.81207) Full Text: DOI arXiv
Ahmad, Mohd Ali Khameini; Liao, Lingmin; Saburov, Mansoor Periodic \(p\)-adic Gibbs measures of \(q\)-state Potts model on Cayley trees. I: The chaos implies the vastness of the set of \(p\)-adic Gibbs measures. (English) Zbl 1397.82008 J. Stat. Phys. 171, No. 6, 1000-1034 (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 05C05 81Q65 82B26 60K35 PDFBibTeX XMLCite \textit{M. A. K. Ahmad} et al., J. Stat. Phys. 171, No. 6, 1000--1034 (2018; Zbl 1397.82008) Full Text: DOI arXiv
Terwilliger, Paul The Lusztig automorphism of the \(q\)-Onsager algebra. (English) Zbl 1464.17022 J. Algebra 506, 56-75 (2018). MSC: 17B40 33D80 82B10 17B37 81R50 PDFBibTeX XMLCite \textit{P. Terwilliger}, J. Algebra 506, 56--75 (2018; Zbl 1464.17022) Full Text: DOI arXiv
Fleig, Philipp; Gustafsson, Henrik P. A.; Kleinschmidt, Axel; Persson, Daniel Eisenstein series and automorphic representations. With applications in string theory. (English) Zbl 1435.11001 Cambridge Studies in Advanced Mathematics 176. Cambridge: Cambridge University Press (ISBN 978-1-107-18992-8/hbk; 978-1-316-99586-0/ebook). xviii, 567 p. (2018). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-02 11F03 11F70 11M36 PDFBibTeX XMLCite \textit{P. Fleig} et al., Eisenstein series and automorphic representations. With applications in string theory. Cambridge: Cambridge University Press (2018; Zbl 1435.11001) Full Text: DOI
Bhattacharyya, Arpan; Hung, Ling-Yan; Lei, Yang; Li, Wei Tensor network and (\(p\)-adic) AdS/CFT. (English) Zbl 1384.81091 J. High Energy Phys. 2018, No. 1, Paper No. 139, 55 p. (2018). MSC: 81T40 11S80 PDFBibTeX XMLCite \textit{A. Bhattacharyya} et al., J. High Energy Phys. 2018, No. 1, Paper No. 139, 55 p. (2018; Zbl 1384.81091) Full Text: DOI arXiv
Gubser, Steven S. A \(p\)-adic version of AdS/CFT. (English) Zbl 1383.81219 Adv. Theor. Math. Phys. 21, No. 7, 1655-1678 (2018). MSC: 81T40 81T20 11D88 05C05 81T18 PDFBibTeX XMLCite \textit{S. S. Gubser}, Adv. Theor. Math. Phys. 21, No. 7, 1655--1678 (2018; Zbl 1383.81219) Full Text: DOI arXiv
Gubser, Steven S.; Knaute, Johannes; Parikh, Sarthak; Samberg, Andreas; Witaszczyk, Przemek \(p\)-adic AdS/CFT. (English) Zbl 1387.83083 Commun. Math. Phys. 352, No. 3, 1019-1059 (2017). Reviewer: Amir-Kian Kashani-Poor (Paris) MSC: 83E30 83C47 81T20 11S80 81T40 81T13 81V17 83C45 83D05 PDFBibTeX XMLCite \textit{S. S. Gubser} et al., Commun. Math. Phys. 352, No. 3, 1019--1059 (2017; Zbl 1387.83083) Full Text: DOI arXiv
Mukhamedov, Farrukh; Khakimov, Otabek Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree. (English) Zbl 1355.37106 Chaos Solitons Fractals 87, 190-196 (2016). MSC: 37N20 46S10 39A70 47S10 60K35 82B20 82B26 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{O. Khakimov}, Chaos Solitons Fractals 87, 190--196 (2016; Zbl 1355.37106) Full Text: DOI
Crampe, N.; Finn, C.; Ragoucy, E.; Vanicat, M. Integrable boundary conditions for multi-species ASEP. (English) Zbl 1355.82022 J. Phys. A, Math. Theor. 49, No. 37, Article ID 375201, 20 p. (2016). Reviewer: David Jou (Bellaterra) MSC: 82C20 33D80 82C22 PDFBibTeX XMLCite \textit{N. Crampe} et al., J. Phys. A, Math. Theor. 49, No. 37, Article ID 375201, 20 p. (2016; Zbl 1355.82022) Full Text: DOI arXiv
Urichuk, Andrew; Walton, Mark A. Adjoint affine fusion and tadpoles. (English) Zbl 1341.81039 J. Math. Phys. 57, No. 6, 061702, 16 p. (2016). MSC: 81S40 81R12 81R10 17B67 17B20 17B10 33D80 PDFBibTeX XMLCite \textit{A. Urichuk} and \textit{M. A. Walton}, J. Math. Phys. 57, No. 6, 061702, 16 p. (2016; Zbl 1341.81039) Full Text: DOI arXiv
Ma, Tian; Li, Da-peng; Liu, Ruikuan; Yang, Jiayan Mathematical Theory for Quantum Phase Transitions. arXiv:1610.06988 Preprint, arXiv:1610.06988 [math.AP] (2016). MSC: 34K18 35-XX 81-XX 82-XX 46N50 33D80 BibTeX Cite \textit{T. Ma} et al., ``Mathematical Theory for Quantum Phase Transitions'', Preprint, arXiv:1610.06988 [math.AP] (2016) Full Text: arXiv OA License
Lapidus, Michel L.; Hùng, Lũ’; van Frankenhuijsen, Machiel Minkowski dimension and explicit tube formulas for \(p\)-adic fractal strings. arXiv:1603.09409 Preprint, arXiv:1603.09409 [math-ph] (2016). MSC: 11M41 26E30 28A12 32P05 37P20 11M06 11K41 30G06 46S10 47S10 81Q65 BibTeX Cite \textit{M. L. Lapidus} et al., ``Minkowski dimension and explicit tube formulas for $p$-adic fractal strings'', Preprint, arXiv:1603.09409 [math-ph] (2016) Full Text: DOI arXiv OA License
Marcolli, M.; Tedeschi, N. Multifractals, Mumford curves and eternal inflation. (English) Zbl 1336.60192 \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 2, 135-154 (2014). MSC: 60K35 81Q35 83F05 PDFBibTeX XMLCite \textit{M. Marcolli} and \textit{N. Tedeschi}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 2, 135--154 (2014; Zbl 1336.60192) Full Text: DOI arXiv
Lapidus, Michel L.; Hùng, Lũ’; van Frankenhuijsen, Machiel Minkowski measurability and exact fractal tube formulas for \(p\)-adic self-similar strings. (English) Zbl 1321.37081 Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics I: Fractals in pure mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9147-6/pbk; 978-1-4704-1082-7/ebook). Contemporary Mathematics 600, 161-184 (2013). MSC: 37P20 11M41 26E30 28A12 28A80 11M06 11K41 30G06 32P05 46S10 47S10 81Q65 PDFBibTeX XMLCite \textit{M. L. Lapidus} et al., Contemp. Math. 600, 161--184 (2013; Zbl 1321.37081) Full Text: DOI arXiv
Bakken, E. M.; Digernes, T.; Lund, M. U.; Weisbart, D. Finite approximations of physical models over \(p\)-adic fields. (English) Zbl 1309.81062 \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 4, 249-259 (2013). MSC: 81Q05 11F85 PDFBibTeX XMLCite \textit{E. M. Bakken} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 4, 249--259 (2013; Zbl 1309.81062) Full Text: DOI
Missarov, M. D. Functional Fourier transformation and renormalization group transformation in bosonic field theory models. (English. Russian original) Zbl 1280.81091 Theor. Math. Phys. 174, No. 2, 263-272 (2013); translation from Teor. Mat. Fiz. 174, No. 2, 303-312 (2013). MSC: 81T10 81T17 82B28 11E95 42B10 82B10 PDFBibTeX XMLCite \textit{M. D. Missarov}, Theor. Math. Phys. 174, No. 2, 263--272 (2013; Zbl 1280.81091); translation from Teor. Mat. Fiz. 174, No. 2, 303--312 (2013) Full Text: DOI
Zelenov, E. I. Models of \(p\)-adic mechanics. (English. Russian original) Zbl 1282.70002 Theor. Math. Phys. 174, No. 2, 247-252 (2013); translation from Teor. Mat. Fiz. 174, No. 2, 285-291 (2013). MSC: 70A99 81Q65 47N50 47S10 PDFBibTeX XMLCite \textit{E. I. Zelenov}, Theor. Math. Phys. 174, No. 2, 247--252 (2013; Zbl 1282.70002); translation from Teor. Mat. Fiz. 174, No. 2, 285--291 (2013) Full Text: DOI
In memoriam: Vasilii Sergeevich Vladimirov (9 January 1923 – 3 November 2012). (English. Russian original) Zbl 1280.00054 Theor. Math. Phys. 174, No. 2, 167-172 (2013); translation from Teor. Mat. Fiz. 174, No. 2, 195-201 (2013). MSC: 00B25 32-03 01A70 46Fxx 81T05 81V35 82C70 26A33 11E95 PDFBibTeX XMLCite Theor. Math. Phys. 174, No. 2, 167--172 (2013; Zbl 1280.00054); translation from Teor. Mat. Fiz. 174, No. 2, 195--201 (2013) Full Text: DOI
Mukhamedov, Farrukh On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree. (English) Zbl 1280.46047 Math. Phys. Anal. Geom. 16, No. 1, 49-87 (2013). Reviewer: Hasan Akin (Gaziantep) MSC: 46S10 82B26 82B20 37N20 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Math. Phys. Anal. Geom. 16, No. 1, 49--87 (2013; Zbl 1280.46047) Full Text: DOI arXiv
Gerasimov, Anton A.; Lebedev, Dimitri R. Representation theory over tropical semifield and Langlands duality. (English) Zbl 1323.11097 Commun. Math. Phys. 320, No. 2, 301-346 (2013). Reviewer: Daniel Moskovich (Beer-Sheva) MSC: 11S37 33D80 22E50 81T45 11M36 14T05 17B37 PDFBibTeX XMLCite \textit{A. A. Gerasimov} and \textit{D. R. Lebedev}, Commun. Math. Phys. 320, No. 2, 301--346 (2013; Zbl 1323.11097) Full Text: DOI arXiv
Mukhamedov, Farrukh A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two. (English) Zbl 1271.82018 Rep. Math. Phys. 70, No. 3, 385-406 (2012). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C26 37N20 39A70 60K35 82B20 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Rep. Math. Phys. 70, No. 3, 385--406 (2012; Zbl 1271.82018) Full Text: DOI
Missarov, M. D. \(p\)-adic renormalization group solutions and the Euclidean renormalization group conjectures. (English) Zbl 1251.81047 \(p\)-Adic Numbers Ultrametric Anal. Appl. 4, No. 2, 109-114 (2012). MSC: 81Q65 81T17 PDFBibTeX XMLCite \textit{M. D. Missarov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 4, No. 2, 109--114 (2012; Zbl 1251.81047) Full Text: DOI
Dragovich, B. On measurements, numbers and \(p\)-adic mathematical physics. (English) Zbl 1251.81046 \(p\)-Adic Numbers Ultrametric Anal. Appl. 4, No. 2, 102-108 (2012). MSC: 81Q65 81P15 81T30 92D10 PDFBibTeX XMLCite \textit{B. Dragovich}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 4, No. 2, 102--108 (2012; Zbl 1251.81046) Full Text: DOI arXiv
Zelenov, E. I. Adelic decoherence. (English) Zbl 1258.81086 \(p\)-Adic Numbers Ultrametric Anal. Appl. 4, No. 1, 84-87 (2012). MSC: 81V22 81P05 81Q65 11E95 PDFBibTeX XMLCite \textit{E. I. Zelenov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 4, No. 1, 84--87 (2012; Zbl 1258.81086) Full Text: DOI
Vourdas, A. Quantum mechanics on \(\mathbb{Q}/\mathbb{Z}\). (English) Zbl 1317.81156 J. Math. Phys. 52, No. 6, 062103, 16 p. (2011). MSC: 81R30 81S30 11D88 46S10 47S10 PDFBibTeX XMLCite \textit{A. Vourdas}, J. Math. Phys. 52, No. 6, 062103, 16 p. (2011; Zbl 1317.81156) Full Text: DOI
Zelenov, E. I. The \(p\)-adic quantum differential. (English. Russian original) Zbl 1274.81117 Theor. Math. Phys. 168, No. 2, 1035-1040 (2011); translation from Teor. Mat. Fiz. 168, No. 2, 212-218 (2011). MSC: 81Q65 PDFBibTeX XMLCite \textit{E. I. Zelenov}, Theor. Math. Phys. 168, No. 2, 1035--1040 (2011; Zbl 1274.81117); translation from Teor. Mat. Fiz. 168, No. 2, 212--218 (2011) Full Text: DOI
Vladimirov, Vasily S. Mathematical aspects of nonlinear pseudodifferential equations of \(p\)-adic strings. (English) Zbl 1258.81073 \(p\)-Adic Numbers Ultrametric Anal. Appl. 3, No. 3, 236-242 (2011). MSC: 81T30 11E95 81Q65 PDFBibTeX XMLCite \textit{V. S. Vladimirov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 3, No. 3, 236--242 (2011; Zbl 1258.81073) Full Text: DOI
Gerasimov, Anton; Lebedev, Dimitri; Oblezin, Sergey Parabolic Whittaker functions and topological field theories. I. (English) Zbl 1252.81115 Commun. Number Theory Phys. 5, No. 1, 135-202 (2011). Reviewer: Daniel Moskovich (Singapore) MSC: 81T45 22E57 11S80 81R12 37K10 14J33 14N35 33C15 53D45 PDFBibTeX XMLCite \textit{A. Gerasimov} et al., Commun. Number Theory Phys. 5, No. 1, 135--202 (2011; Zbl 1252.81115) Full Text: DOI arXiv
Gerasimov, Anton; Lebedev, Dimitri; Oblezin, Sergey Archimedean \(L\)-factors and topological field theories. II. (English) Zbl 1251.14012 Commun. Number Theory Phys. 5, No. 1, 101-134 (2011). Reviewer: Daniel Moskovich (Singapore) MSC: 14G10 81T45 33B15 11S80 14J33 PDFBibTeX XMLCite \textit{A. Gerasimov} et al., Commun. Number Theory Phys. 5, No. 1, 101--134 (2011; Zbl 1251.14012) Full Text: DOI arXiv
Gerasimov, Anton; Lebedev, Dimitri; Oblezin, Sergey Archimedean \(L\)-factors and topological field theories. I. (English) Zbl 1251.14011 Commun. Number Theory Phys. 5, No. 1, 57-100 (2011). Reviewer: Daniel Moskovich (Singapore) MSC: 14G10 81T45 14N35 33B15 11S80 53D45 PDFBibTeX XMLCite \textit{A. Gerasimov} et al., Commun. Number Theory Phys. 5, No. 1, 57--100 (2011; Zbl 1251.14011) Full Text: DOI arXiv
Lapidus, Michel L.; Hùng, Lũ’ The geometry of \(p\)-adic fractal strings: a comparative survey. (English) Zbl 1276.37053 Araujo-Gomez, Jesus (ed.) et al., Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5291-0/pbk). Contemporary Mathematics 551, 163-206 (2011). MSC: 37P20 28A80 11K41 11M41 46S10 81Q65 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{L. Hùng}, Contemp. Math. 551, 163--206 (2011; Zbl 1276.37053) Full Text: arXiv
Vourdas, A. Hamiltonians of quantum systems with positions and momenta in \(\operatorname{GF}(p^{\ell})\). (English) Zbl 1310.81074 J. Math. Phys. 51, No. 5, 052102, 20 p. (2010). MSC: 81Q35 81Q05 11F85 11F80 PDFBibTeX XMLCite \textit{A. Vourdas}, J. Math. Phys. 51, No. 5, 052102, 20 p. (2010; Zbl 1310.81074) Full Text: DOI
Dragovich, Branko; Rakić, Zoran Path integrals for quadratic Lagrangians on \(p\)-adic and adelic spaces. (English) Zbl 1258.81058 \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 4, 322-340 (2010). MSC: 81S40 11E95 81Q65 PDFBibTeX XMLCite \textit{B. Dragovich} and \textit{Z. Rakić}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 4, 322--340 (2010; Zbl 1258.81058) Full Text: DOI arXiv
Varadarajan, V. S.; Virtanen, Jukka T. Structure, classification, and conformal symmetry of elementary particles over non-Archimedean space-time. (English) Zbl 1258.81050 \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 2, 157-174 (2010). MSC: 81R25 81R05 83A99 11E95 81Q65 PDFBibTeX XMLCite \textit{V. S. Varadarajan} and \textit{J. T. Virtanen}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 2, 157--174 (2010; Zbl 1258.81050) Full Text: DOI arXiv
Volovich, Igor V. Number theory as the ultimate physical theory. (English) Zbl 1258.81074 \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 1, 77-87 (2010). MSC: 81T30 81Q05 11E95 81Q65 PDFBibTeX XMLCite \textit{I. V. Volovich}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 1, 77--87 (2010; Zbl 1258.81074) Full Text: DOI
Zelenov, E. I. Coordinate and momentum operators in \(p\)-adic quantum mechanics. (English. Russian original) Zbl 1255.81154 Theor. Math. Phys. 164, No. 3, 1190-1197 (2010); translation from Teor. Mat. Fiz. 164, No. 3, 426-434 (2010). MSC: 81Q10 81Q65 81S05 PDFBibTeX XMLCite \textit{E. I. Zelenov}, Theor. Math. Phys. 164, No. 3, 1190--1197 (2010; Zbl 1255.81154); translation from Teor. Mat. Fiz. 164, No. 3, 426--434 (2010) Full Text: DOI
Dragovich, B. G. Nonlocal dynamics of \(p\)-adic strings. (English) Zbl 1254.81072 Theor. Math. Phys. 164, No. 3, 1151-1155 (2010) and Teor. Mat. Fiz. 164, No. 3, 380-385 (2010). MSC: 81T30 81Q65 PDFBibTeX XMLCite \textit{B. G. Dragovich}, Theor. Math. Phys. 164, No. 3, 1151--1155 (2010; Zbl 1254.81072) Full Text: DOI arXiv
Dragovich, Branko On \(p\)-adic sector of open scalar strings and zeta field theory. (English) Zbl 1210.81082 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. VIII international workshop, Varna, Bulgaria, June 15–21, 2009. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0788-6/pbk). AIP Conference Proceedings 1243, 43-49 (2010). MSC: 81T30 81Q65 11Z05 PDFBibTeX XMLCite \textit{B. Dragovich}, AIP Conf. Proc. 1243, 43--49 (2010; Zbl 1210.81082) Full Text: DOI
Khrennikov, Andrei; Schumann, Andrew \(p\)-adic physics, non-well-founded reality and unconventional computing. (English) Zbl 1258.81047 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 4, 297-306 (2009). MSC: 81Q65 81P05 03E70 60A05 68Q05 11E95 PDFBibTeX XMLCite \textit{A. Khrennikov} and \textit{A. Schumann}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 4, 297--306 (2009; Zbl 1258.81047) Full Text: DOI
Schwarz, Albert; Vologodsky, Vadim Integrality theorems in the theory of topological strings. (English) Zbl 1203.81155 Nucl. Phys., B 821, No. 3, 506-534 (2009). MSC: 81T45 14J32 14J33 PDFBibTeX XMLCite \textit{A. Schwarz} and \textit{V. Vologodsky}, Nucl. Phys., B 821, No. 3, 506--534 (2009; Zbl 1203.81155) Full Text: DOI arXiv
Dolan, F. A.; Osborn, H. Applications of the superconformal index for protected operators and \(q\)-hypergeometric identities to \({\mathcal N}=1\) dual theories. (English) Zbl 1194.81220 Nucl. Phys., B 818, No. 3, 137-178 (2009). MSC: 81T40 81T60 33D80 PDFBibTeX XMLCite \textit{F. A. Dolan} and \textit{H. Osborn}, Nucl. Phys., B 818, No. 3, 137--178 (2009; Zbl 1194.81220) Full Text: DOI arXiv
Albeverio, Sergio; Cianci, Roberto; Khrennikov, Andrei Yu. \(p\)-adic valued quantization. (English) Zbl 1187.81137 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 2, 91-104 (2009). MSC: 81Q65 81T10 81S10 81S05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 2, 91--104 (2009; Zbl 1187.81137) Full Text: DOI
Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V. On \(p\)-adic mathematical physics. (English) Zbl 1187.81004 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 1-17 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 81-02 81Q65 00A69 11S80 12J25 PDFBibTeX XMLCite \textit{B. Dragovich} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 1--17 (2009; Zbl 1187.81004) Full Text: DOI arXiv
Albeverio, S.; Cianci, R.; Khrennikov, A. Yu. Operator calculus for \(p\)-adic valued symbols and quantization. (English) Zbl 1244.47065 Rend. Semin. Mat., Univ. Politec. Torino 67, No. 2, 137-150 (2009). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47S10 11S80 11E95 47N50 81S99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rend. Semin. Mat., Univ. Politec. Torino 67, No. 2, 137--150 (2009; Zbl 1244.47065)
Evans, David E.; Pugh, Mathew Ocneanu cells and Boltzmann weights for the SU(3) \({\mathcal{ADE}}\) graphs. (English) Zbl 1189.81192 Münster J. Math. 2, No. 1, 95-142 (2009). Reviewer: Piotr Garbaczewski (Opole) MSC: 81T40 81R10 82B10 57M15 51E24 33D80 PDFBibTeX XMLCite \textit{D. E. Evans} and \textit{M. Pugh}, Münster J. Math. 2, No. 1, 95--142 (2009; Zbl 1189.81192) Full Text: arXiv
Albeverio, S.; Kuzhel, S.; Torba, S. \(p\)-adic Schrödinger-type operator with point interactions. (English) Zbl 1136.81021 J. Math. Anal. Appl. 338, No. 2, 1267-1281 (2008). MSC: 81Q10 47S10 26A33 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Anal. Appl. 338, No. 2, 1267--1281 (2008; Zbl 1136.81021) Full Text: DOI arXiv
Ben Geloun, Joseph; Hounkonnou, M. Norbert Canonical and nonlinear vector coherent states of generalized models with spin-orbit interaction. (English) Zbl 1152.81332 J. Math. Phys. 48, No. 9, 093505, 28 p. (2007). MSC: 81R30 33D80 81R12 81R50 81V80 82D20 PDFBibTeX XMLCite \textit{J. Ben Geloun} and \textit{M. N. Hounkonnou}, J. Math. Phys. 48, No. 9, 093505, 28 p. (2007; Zbl 1152.81332) Full Text: DOI
Neretin, Yuri A. On adelic model of boson Fock space. (English) Zbl 1173.11356 Neretin, Yu. (ed.) et al., Moscow Seminar in mathematical physics, II. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4371-0/hbk). Translations. Series 2. American Mathematical Society 221. Advances in the Mathematical Sciences 60, 193-202 (2007). MSC: 11R56 81S05 11F27 22E70 46F05 46S10 PDFBibTeX XMLCite \textit{Y. A. Neretin}, Transl., Ser. 2, Am. Math. Soc. 221, 193--202 (2007; Zbl 1173.11356) Full Text: arXiv
Kim, T.; Choi, J. Y.; Sug, J. Y. Extended \(q\)-Euler numbers and polynomials associated with fermionic \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\). (English) Zbl 1132.33331 Russ. J. Math. Phys. 14, No. 2, 160-163 (2007). MSC: 33D45 11B68 11S80 33E50 82B10 PDFBibTeX XMLCite \textit{T. Kim} et al., Russ. J. Math. Phys. 14, No. 2, 160--163 (2007; Zbl 1132.33331) Full Text: DOI arXiv
Nahm, Werner Conformal field theory and torsion elements of the Bloch group. (English) Zbl 1193.81092 Cartier, Pierre (ed.) et al., Frontiers in number theory, physics, and geometry II. On conformal field theories, discrete groups and renormalization. Papers from the meeting, Les Houches, France, March 9–21, 2003. Berlin: Springer (ISBN 978-3-540-30307-7/hbk). 67-132 (2007). MSC: 81T40 11G55 11Z05 19D45 33B30 33D80 PDFBibTeX XMLCite \textit{W. Nahm}, in: Frontiers in number theory, physics, and geometry II. On conformal field theories, discrete groups and renormalization. Papers from the meeting, Les Houches, France, March 9--21, 2003. Berlin: Springer. 67--132 (2007; Zbl 1193.81092) Full Text: DOI arXiv
Karabulut, Hasan Distributed Gaussian polynomials as \(q\)-oscillator eigenfunctions. (English) Zbl 1111.33009 J. Math. Phys. 47, No. 1, 013508, 13 p. (2006). MSC: 33D80 33D45 39A13 81Q05 81R50 PDFBibTeX XMLCite \textit{H. Karabulut}, J. Math. Phys. 47, No. 1, 013508, 13 p. (2006; Zbl 1111.33009) Full Text: DOI arXiv
Dragovich, Branko Invariance in adelic quantum mechanics. (English) Zbl 1117.81332 Czech. J. Phys. 56, No. 10-11, 1137-1142 (2006). MSC: 81Q99 47S10 81Q05 81Q30 PDFBibTeX XMLCite \textit{B. Dragovich}, Czech. J. Phys. 56, No. 10--11, 1137--1142 (2006; Zbl 1117.81332) Full Text: DOI arXiv
Konno, Norio Continuous-time quantum walks on ultrametric spaces. (English) Zbl 1107.81015 Int. J. Quantum Inf. 4, No. 6, 1023-1035 (2006). MSC: 81P68 82C41 05C85 68W05 PDFBibTeX XMLCite \textit{N. Konno}, Int. J. Quantum Inf. 4, No. 6, 1023--1035 (2006; Zbl 1107.81015) Full Text: DOI arXiv
Wolf, Kurt Bernardo Finite systems on phase space. (English) Zbl 1093.81043 Int. J. Mod. Phys. B 20, No. 11-13, 1956-1967 (2006). MSC: 81S30 33D80 39A70 43A85 93C57 94A11 PDFBibTeX XMLCite \textit{K. B. Wolf}, Int. J. Mod. Phys. B 20, No. 11--13, 1956--1967 (2006; Zbl 1093.81043) Full Text: DOI
Deka, Lipika; Schilling, Anne Non-unitary minimal models, Bailey’s lemma and \(N=1,2\) superconformal algebras. (English) Zbl 1090.81031 Commun. Math. Phys. 260, No. 3, 711-725 (2005). MSC: 81R10 05A30 33D80 81T40 82B23 PDFBibTeX XMLCite \textit{L. Deka} and \textit{A. Schilling}, Commun. Math. Phys. 260, No. 3, 711--725 (2005; Zbl 1090.81031) Full Text: DOI arXiv
Mimachi, Katsuhisa Homological representations of the Iwahori-Hecke algebra associated with a Selberg-type integral. (English) Zbl 1129.32017 Int. Math. Res. Not. 2005, No. 33, 2031-2057 (2005). MSC: 32S40 33E20 33D80 81T40 20C08 PDFBibTeX XMLCite \textit{K. Mimachi}, Int. Math. Res. Not. 2005, No. 33, 2031--2057 (2005; Zbl 1129.32017) Full Text: DOI
Sakamoto, Reiho Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1. (English) Zbl 1136.81384 Chaos Solitons Fractals 25, No. 1, 147-151 (2005). MSC: 81R10 17B68 33D80 81T40 PDFBibTeX XMLCite \textit{R. Sakamoto}, Chaos Solitons Fractals 25, No. 1, 147--151 (2005; Zbl 1136.81384) Full Text: DOI arXiv
El Naschie, M. S. On Penrose view of transfinite sets and computability and the fractal character of \(E\)-infinity spacetime. (English) Zbl 1076.03538 Chaos Solitons Fractals 25, No. 3, 531-533 (2005). MSC: 03E75 81P05 28A80 83C45 03E15 11Z05 00A79 PDFBibTeX XMLCite \textit{M. S. El Naschie}, Chaos Solitons Fractals 25, No. 3, 531--533 (2005; Zbl 1076.03538) Full Text: DOI
Missarov, M. D.; Stepanov, P. G. \(\epsilon \)-expansions in Dyson’s hierarchical model. (English) Zbl 1178.82041 Theor. Math. Phys. 139, No. 2, 672-678 (2004); translation from Teor. Mat. Fiz. 139, No. 2, 268-275 (2004). MSC: 82B28 37N20 81T17 PDFBibTeX XMLCite \textit{M. D. Missarov} and \textit{P. G. Stepanov}, Theor. Math. Phys. 139, No. 2, 672--678 (2004; Zbl 1178.82041); translation from Teor. Mat. Fiz. 139, No. 2, 268--275 (2004) Full Text: DOI
Parthasarathy, R. \(q\)-fermionic numbers and their roles in some physical problems. (English) Zbl 1138.33306 Phys. Lett., A 326, No. 3-4, 178-186 (2004). MSC: 33D80 33D90 81S05 PDFBibTeX XMLCite \textit{R. Parthasarathy}, Phys. Lett., A 326, No. 3--4, 178--186 (2004; Zbl 1138.33306) Full Text: DOI arXiv
Khrennikov, Andrei Information dynamics in cognitive, psychological, social and anomalous phenomena. (English) Zbl 1175.91151 Fundamental Theories of Physics 138. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-1868-1/hbk). xvi, 235 p. (2004). MSC: 91E10 00A69 91-02 37H99 81P99 81Q99 94A15 91Gxx PDFBibTeX XMLCite \textit{A. Khrennikov}, Information dynamics in cognitive, psychological, social and anomalous phenomena. Boston, MA: Kluwer Academic Publishers (2004; Zbl 1175.91151)
Krutikov, Denis Spectra of \(p\)-adic Schrödinger-type operators with random radial potentials. (English) Zbl 1047.81024 J. Phys. A, Math. Gen. 36, No. 15, 4433-4443 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 81Q10 46N50 47B99 82B44 47B80 PDFBibTeX XMLCite \textit{D. Krutikov}, J. Phys. A, Math. Gen. 36, No. 15, 4433--4443 (2003; Zbl 1047.81024) Full Text: DOI
Castro, Carlos On \(p\)-adic stochastic dynamics, supersymmetry and the Riemann conjecture. (English) Zbl 1056.81074 Chaos Solitons Fractals 15, No. 1, 15-24 (2003). Reviewer: Emilio Elizalde (Bellaterra) MSC: 81U40 60J65 60G50 81Q60 81Q99 11M26 11Z05 PDFBibTeX XMLCite \textit{C. Castro}, Chaos Solitons Fractals 15, No. 1, 15--24 (2003; Zbl 1056.81074) Full Text: DOI arXiv
Krattenthaler, Christian; Guttmann, Anthony J.; Viennot, Xavier G. Vicious walkers, friendly walkers, and Young tableaux. III: Between two walls. (English) Zbl 1016.82017 J. Stat. Phys. 110, No. 3-6, 1069-1086 (2003). MSC: 82B41 05E05 05E10 33D80 PDFBibTeX XMLCite \textit{C. Krattenthaler} et al., J. Stat. Phys. 110, No. 3--6, 1069--1086 (2003; Zbl 1016.82017) Full Text: DOI arXiv
Erdemir, E.; Tanatar, B. \(q\)-Gaussian trial function in high density Bose-Einstein condensates. (English) Zbl 1038.82003 Physica A 322, No. 1-4, 449-455 (2003). MSC: 82B10 33D80 PDFBibTeX XMLCite \textit{E. Erdemir} and \textit{B. Tanatar}, Physica A 322, No. 1--4, 449--455 (2003; Zbl 1038.82003) Full Text: DOI
Albeverio, Sergio; Fei, Shao-Ming Integrable lattice systems and Markov processes. (English) Zbl 1119.82303 Int. J. Theor. Phys. Group Theory Nonlinear Opt. 9, No. 1, 39-68 (2002). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B23 37K30 35K57 37K60 37J15 33D80 60J10 81R12 70G65 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S.-M. Fei}, Int. J. Theor. Phys. Group Theory Nonlinear Opt. 9, No. 1, 39--68 (2002; Zbl 1119.82303) Full Text: arXiv
Vladimirov, V. S. Beta functions of local fields of characteristic zero. Applications to string amplitudes. (English. Russian original) Zbl 1033.81071 Izv. Math. 66, No. 1, 41-57 (2002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 1, 43-58 (2002). Reviewer: Werner Kleinert (Berlin) MSC: 81T30 53C80 81R10 33B15 35Q40 81Q99 46S10 46F05 46F10 PDFBibTeX XMLCite \textit{V. S. Vladimirov}, Izv. Math. 66, No. 1, 41--57 (2002; Zbl 1033.81071); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 1, 43--58 (2002) Full Text: DOI
Djordjević, G. S.; Dragovich, B.; Nešić, Lj. \(p\)-adic Feynman’s path integrals. (English) Zbl 1034.81032 Filomat 15, 323-330 (2001). Reviewer: Zoran Rakić (Beograd) MSC: 81S40 46S10 81Q05 81Q30 PDFBibTeX XMLCite \textit{G. S. Djordjević} et al., Filomat 15, 323--330 (2001; Zbl 1034.81032)
Jannussis, A.; Tsonis, A. New generalized coherent states. (English) Zbl 1010.81035 Tsagas, Grigorios (ed.), Proceedings of the conference on geometry and its applications in technology and the workshop on global analysis, differential geometry and Lie algebras, Thessaloniki, Greece, 1999. Bucharest: Geometry Balkan Press. BSG Proc. 6, 103-114 (2001). MSC: 81R30 81R50 33D80 81V35 PDFBibTeX XMLCite \textit{A. Jannussis} and \textit{A. Tsonis}, BSG Proc. 6, 103--114 (2001; Zbl 1010.81035)
Djordjević, Goran S.; Dragovich, Branko; Nešić, Ljubiša Adelic free particle and space-time discreteness. (English) Zbl 1071.81541 Herceg, D. (ed.) et al., PRIM ’98. Proceedings of the XIII conference on applied mathematics, Igalo, Yugoslavia, May 25–29, 1998. Novi Sad: Univ. of Novi Sad, Faculty of Science, Institute of Mathematics. 33-41 (2000). Reviewer: Zoran Rakić (Beograd) MSC: 81S40 58D30 PDFBibTeX XMLCite \textit{G. S. Djordjević} et al., in: PRIM '98. Proceedings of the XIII conference on applied mathematics, Igalo, Yugoslavia, May 25--29, 1998. Novi Sad: Univ. of Novi Sad, Faculty of Science, Institute of Mathematics. 33--41 (2000; Zbl 1071.81541)
Djordjević, Goran S.; Dragovich, Branko Adelic connection between classical and quantum dynamics. (English) Zbl 1071.81540 Herceg, D. (ed.) et al., PRIM ’98. Proceedings of the XIII conference on applied mathematics, Igalo, Yugoslavia, May 25–29, 1998. Novi Sad: Univ. of Novi Sad, Faculty of Science, Institute of Mathematics. 23-31 (2000). Reviewer: Zoran Rakić (Beograd) MSC: 81S40 58D30 PDFBibTeX XMLCite \textit{G. S. Djordjević} and \textit{B. Dragovich}, in: PRIM '98. Proceedings of the XIII conference on applied mathematics, Igalo, Yugoslavia, May 25--29, 1998. Novi Sad: Univ. of Novi Sad, Faculty of Science, Institute of Mathematics. 23--31 (2000; Zbl 1071.81540)
Chalykh, Oleg A. Bispectrality for the quantum Ruijsenaars model and its integrable deformation. (English) Zbl 0987.81038 J. Math. Phys. 41, No. 8, 5139-5167 (2000). MSC: 81R12 81V70 33D80 37N20 39A70 PDFBibTeX XMLCite \textit{O. A. Chalykh}, J. Math. Phys. 41, No. 8, 5139--5167 (2000; Zbl 0987.81038) Full Text: DOI
Varadarajan, Veeravalli S. Remarks on some applications of Skorokhod space in quantum mechanics. (English) Zbl 1054.81026 Korolyuk, V. (ed.) et al., Skorokhod’s ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-1682-3). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 32, 307-312 (2000). Reviewer: A. V. Swishchuk (Kyïv) MSC: 81S40 60F99 60B10 PDFBibTeX XMLCite \textit{V. S. Varadarajan}, in: Skorokhod's ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine. 307--312 (2000; Zbl 1054.81026) Full Text: arXiv
Foda, Omar; Welsh, Trevor A. On the combinatorics of Forrester-Baxter models. (English) Zbl 1039.82010 Kashiwara, Masaki (ed.) et al., Physical combinatorics. Proceedings of a workshop, Kyoto, Japan, January 29 – February 2, 1999. Boston: Birkhäuser (ISBN 0-8176-4175-0). Prog. Math. 191, 49-103 (2000). MSC: 82B20 05A15 11P83 33D80 PDFBibTeX XMLCite \textit{O. Foda} and \textit{T. A. Welsh}, Prog. Math. 191, 49--103 (2000; Zbl 1039.82010) Full Text: arXiv
Borzov, V. V.; Damaskinsky, E. V.; Kulish, P. P. Construction of the spectral measure for deformed oscillator position operator in the case of undetermined Hamburger moment problem. (English) Zbl 1044.81067 Rev. Math. Phys. 12, No. 5, 691-710 (2000). MSC: 81S05 33D80 44A60 47B36 47N50 PDFBibTeX XMLCite \textit{V. V. Borzov} et al., Rev. Math. Phys. 12, No. 5, 691--710 (2000; Zbl 1044.81067) Full Text: DOI arXiv
Loutsenko, Igor; Spiridonov, Vyacheslav Self-similarity in spectral problems and \(q\)-special functions. (English) Zbl 0962.33012 Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 273-293 (2000). Reviewer: Miloslav Znojil (Řež) MSC: 33D80 81R30 82B20 PDFBibTeX XMLCite \textit{I. Loutsenko} and \textit{V. Spiridonov}, in: SIDE III -- Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16--22, 1998. Providence, RI: American Mathematical Society (AMS). 273--293 (2000; Zbl 0962.33012) Full Text: arXiv
Saitoh, Naoko; Yoshida, Hiroaki A \(q\)-deformed Poisson distribution based on orthogonal polynomials. (English) Zbl 0955.33013 J. Phys. A, Math. Gen. 33, No. 7, 1435-1444 (2000). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33D80 82B31 PDFBibTeX XMLCite \textit{N. Saitoh} and \textit{H. Yoshida}, J. Phys. A, Math. Gen. 33, No. 7, 1435--1444 (2000; Zbl 0955.33013) Full Text: DOI
Hikami, Kazuhiro; Basu-Mallick, B. Supersymmetric Polychronakos spin chain: motif, distribution function, and character. (English) Zbl 0955.82009 Nucl. Phys., B 566, No. 3, 511-528 (2000). MSC: 82B20 33D80 PDFBibTeX XMLCite \textit{K. Hikami} and \textit{B. Basu-Mallick}, Nucl. Phys., B 566, No. 3, 511--528 (2000; Zbl 0955.82009) Full Text: DOI arXiv
Albeverio, Sergio; Khrennikov, Andrei; Tirozzi, Brunello \(p\)-adic dynamical systems and neural networks. (English) Zbl 1010.82027 Math. Models Methods Appl. Sci. 9, No. 9, 1417-1437 (1999). MSC: 82C32 37B99 37N20 92B20 11S99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Math. Models Methods Appl. Sci. 9, No. 9, 1417--1437 (1999; Zbl 1010.82027) Full Text: DOI
Felder, G.; Varchenko, A. Resonance relations for solutions of the elliptic QKZB equations, fusion rules, and eigenvectors of transfer matrices of restricted interaction-round-a-face models. (English) Zbl 1024.81038 Commun. Contemp. Math. 1, No. 3, 335-403 (1999). Reviewer: Akira Asada (Takarazuka) MSC: 81T40 82B20 32G34 17B37 33D80 PDFBibTeX XMLCite \textit{G. Felder} and \textit{A. Varchenko}, Commun. Contemp. Math. 1, No. 3, 335--403 (1999; Zbl 1024.81038) Full Text: DOI arXiv
Bikulov, A. Kh. Stochastic \(p\)-adic equations of mathematical physics. (English. Russian original) Zbl 0951.60073 Theor. Math. Phys. 119, No. 2, 594-604 (1999); translation from Teor. Mat. Fiz. 119, No. 2, 249-263 (1999). Reviewer: Anatoly N.Kochubei (Kiev) MSC: 60H99 81S99 35R60 60G60 11S80 PDFBibTeX XMLCite \textit{A. Kh. Bikulov}, Theor. Math. Phys. 119, No. 2, 594--604 (1999; Zbl 0951.60073); translation from Teor. Mat. Fiz. 119, No. 2, 249--263 (1999) Full Text: DOI
Mukhin, E.; Varchenko, A. On algebraic equations satisfied by hypergeometric solutions of the qKZ equation. (English) Zbl 1157.33329 Astashkevich, Alexander (ed.) et al., Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs’ 60th anniversary collection. Providence, RI: American Mathematical Society (ISBN 0-8218-2032-X/hbk). Transl., Ser. 2, Am. Math. Soc. 194(44), 189-209 (1999). MSC: 33D80 17B37 32G34 33D70 81R50 81T40 PDFBibTeX XMLCite \textit{E. Mukhin} and \textit{A. Varchenko}, Transl., Ser. 2, Am. Math. Soc. 194, 189--209 (1999; Zbl 1157.33329) Full Text: arXiv
Feigin, B.; Loktev, S. On generalized Kostka polynomials and the quantum Verlinde rule. (English) Zbl 0974.17008 Astashkevich, Alexander (ed.) et al., Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs’ 60th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 194(44), 61-79 (1999). Reviewer: Stefano Capparelli (Roma) MSC: 17B10 81R10 81T40 33D80 17B67 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{S. Loktev}, Transl., Ser. 2, Am. Math. Soc. 194, 61--79 (1999; Zbl 0974.17008) Full Text: arXiv