Prokofev, V.; Zabrodin, A. Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero-Moser model. (English) Zbl 1475.37074 J. Math. Phys. 62, No. 6, 061502, 20 p. (2021). Reviewer: Johanna Michor (Wien) MSC: 37K10 37K20 37J35 PDF BibTeX XML Cite \textit{V. Prokofev} and \textit{A. Zabrodin}, J. Math. Phys. 62, No. 6, 061502, 20 p. (2021; Zbl 1475.37074) Full Text: DOI arXiv OpenURL
Kornyik, M.; Voit, M.; Woerner, J. Some martingales associated with multivariate Bessel processes. (English) Zbl 1474.60075 Acta Math. Hung. 163, No. 1, 194-212 (2021). Reviewer: Weiping Li (Stillwater) MSC: 60F15 60F05 60J60 60B20 60H20 70F10 82C22 33C67 PDF BibTeX XML Cite \textit{M. Kornyik} et al., Acta Math. Hung. 163, No. 1, 194--212 (2021; Zbl 1474.60075) Full Text: DOI arXiv OpenURL
Prokofev, V. V.; Zabrodin, A. V. Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy. (English. Russian original) Zbl 1448.37079 Proc. Steklov Inst. Math. 309, 225-239 (2020); translation from Tr. Mat. Inst. Steklova 309, 241-256 (2020). MSC: 37K10 37J35 37J70 37K60 39A36 PDF BibTeX XML Cite \textit{V. V. Prokofev} and \textit{A. V. Zabrodin}, Proc. Steklov Inst. Math. 309, 225--239 (2020; Zbl 1448.37079); translation from Tr. Mat. Inst. Steklova 309, 241--256 (2020) Full Text: DOI arXiv OpenURL
Liu, Yong; Wei, Juncheng Multivortex traveling waves for the Gross-Pitaevskii equation and the Adler-Moser polynomials. (English) Zbl 1445.35106 SIAM J. Math. Anal. 52, No. 4, 3546-3579 (2020). MSC: 35C07 35B08 35Q40 37K35 35Q56 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{J. Wei}, SIAM J. Math. Anal. 52, No. 4, 3546--3579 (2020; Zbl 1445.35106) Full Text: DOI arXiv OpenURL
Movsisyan, G. S.; Sergeev, A. N. Supergroup \(OSP(2,2n)\) and super Jacobi polynomials. (English) Zbl 1472.17034 J. Algebra 556, 750-775 (2020). MSC: 17B10 PDF BibTeX XML Cite \textit{G. S. Movsisyan} and \textit{A. N. Sergeev}, J. Algebra 556, 750--775 (2020; Zbl 1472.17034) Full Text: DOI arXiv OpenURL
Pogrebkov, A. K. Induced dynamics. (English) Zbl 1436.37081 J. Nonlinear Math. Phys. 27, No. 2, 324-336 (2020). MSC: 37K10 35Q51 35Q53 37J35 PDF BibTeX XML Cite \textit{A. K. Pogrebkov}, J. Nonlinear Math. Phys. 27, No. 2, 324--336 (2020; Zbl 1436.37081) Full Text: DOI arXiv OpenURL
Dai, Jia-Liang A universal construction of Calogero-Moser system with two types spins interaction. (English) Zbl 1452.81129 Commun. Theor. Phys. 71, No. 5, 533-544 (2019). MSC: 81R10 81U99 82C22 PDF BibTeX XML Cite \textit{J.-L. Dai}, Commun. Theor. Phys. 71, No. 5, 533--544 (2019; Zbl 1452.81129) Full Text: DOI OpenURL
Grekov, A. M.; Dotsenko, E. I. Real forms of elliptic integrable systems. (English. Russian original) Zbl 1428.70035 Theor. Math. Phys. 199, No. 1, 513-524 (2019); translation from Teor. Mat. Fiz. 199, No. 1, 47-59 (2019). MSC: 70H06 37J40 PDF BibTeX XML Cite \textit{A. M. Grekov} and \textit{E. I. Dotsenko}, Theor. Math. Phys. 199, No. 1, 513--524 (2019; Zbl 1428.70035); translation from Teor. Mat. Fiz. 199, No. 1, 47--59 (2019) Full Text: DOI OpenURL
Chalykh, Oleg Quantum Lax pairs via Dunkl and Cherednik operators. (English) Zbl 1436.81058 Commun. Math. Phys. 369, No. 1, 261-316 (2019). Reviewer: Eugene Kryachko (Kyiv) MSC: 81R12 81V70 17B80 20C08 37K10 PDF BibTeX XML Cite \textit{O. Chalykh}, Commun. Math. Phys. 369, No. 1, 261--316 (2019; Zbl 1436.81058) Full Text: DOI arXiv Link OpenURL
Zabrodin, A. Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy. (English) Zbl 1419.37066 J. Math. Phys. 60, No. 3, 033502, 14 p. (2019). MSC: 37K10 35Q53 39A12 PDF BibTeX XML Cite \textit{A. Zabrodin}, J. Math. Phys. 60, No. 3, 033502, 14 p. (2019; Zbl 1419.37066) Full Text: DOI arXiv OpenURL
Krivonos, Sergey; Lechtenfeld, Olaf; Sutulin, Anton Supersymmetric many-body Euler-Calogero-Moser model. (English) Zbl 1411.81210 Phys. Lett., B 790, 191-196 (2019). MSC: 81T60 81V70 PDF BibTeX XML Cite \textit{S. Krivonos} et al., Phys. Lett., B 790, 191--196 (2019; Zbl 1411.81210) Full Text: DOI arXiv OpenURL
Sergeev, A. N. Lie superalgebras and Calogero-Moser-Sutherland systems. (English. Russian original) Zbl 1422.17014 J. Math. Sci., New York 235, No. 6, 756-787 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 136, 72-102 (2017). MSC: 17B10 17-02 17B22 81R10 PDF BibTeX XML Cite \textit{A. N. Sergeev}, J. Math. Sci., New York 235, No. 6, 756--787 (2018; Zbl 1422.17014); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 136, 72--102 (2017) Full Text: DOI OpenURL
Görbe, Tamás F.; Hallnäs, Martin A. Quantization and explicit diagonalization of new compactified trigonometric Ruijsenaars-Schneider systems. (English) Zbl 1415.37080 J. Integrable Syst. 3, Article ID xyy015, 29 p. (2018). Reviewer: Ivailo Mladenov (Sofia) MSC: 37J35 70H06 33C52 33C90 PDF BibTeX XML Cite \textit{T. F. Görbe} and \textit{M. A. Hallnäs}, J. Integrable Syst. 3, Article ID xyy015, 29 p. (2018; Zbl 1415.37080) Full Text: DOI arXiv OpenURL
Gérard, Patrick; Lenzmann, Enno A Lax pair structure for the half-wave maps equation. (English) Zbl 1393.37074 Lett. Math. Phys. 108, No. 7, 1635-1648 (2018). MSC: 37K10 53C44 37K05 PDF BibTeX XML Cite \textit{P. Gérard} and \textit{E. Lenzmann}, Lett. Math. Phys. 108, No. 7, 1635--1648 (2018; Zbl 1393.37074) Full Text: DOI arXiv OpenURL
Jairuk, Umpon; Tanasittikosol, Monsit; Yoo-Kong, Sikarin On the Lagrangian 1-form structure of the hyperbolic Calogero-Moser system. (English) Zbl 1384.81048 Rep. Math. Phys. 79, No. 3, 299-330 (2017). MSC: 81R12 37J35 37K10 PDF BibTeX XML Cite \textit{U. Jairuk} et al., Rep. Math. Phys. 79, No. 3, 299--330 (2017; Zbl 1384.81048) Full Text: DOI arXiv OpenURL
Sokolov, Vladimir Algebraic structures related to integrable differential equations. (English) Zbl 1394.37003 Ensaios Matemáticos 31. Rio de Janeiro: Sociedade Brasileira de Matemática (SBM) (ISBN 978-85-8337-128-1/pbk). 108 p., open access (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37-02 37K10 37K15 37K40 17B63 17B67 17B80 PDF BibTeX XML Cite \textit{V. Sokolov}, Algebraic structures related to integrable differential equations. Rio de Janeiro: Sociedade Brasileira de Matemática (SBM) (2017; Zbl 1394.37003) Full Text: arXiv Link OpenURL
Bartocci, Claudio; Tacchella, Alberto Poisson-Nijenhuis structures on quiver path algebras. (English) Zbl 1383.16014 Lett. Math. Phys. 107, No. 7, 1265-1291 (2017). MSC: 16G20 53D17 70H06 PDF BibTeX XML Cite \textit{C. Bartocci} and \textit{A. Tacchella}, Lett. Math. Phys. 107, No. 7, 1265--1291 (2017; Zbl 1383.16014) Full Text: DOI arXiv OpenURL
Falqui, Gregorio; Mencattini, Igor Bi-Hamiltonian geometry and canonical spectral coordinates for the rational Calogero-Moser system. (English) Zbl 1373.37139 J. Geom. Phys. 118, 126-137 (2017). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 53D05 70B05 37J05 PDF BibTeX XML Cite \textit{G. Falqui} and \textit{I. Mencattini}, J. Geom. Phys. 118, 126--137 (2017; Zbl 1373.37139) Full Text: DOI arXiv OpenURL
Khoroshkin, S. M.; Matushko, M. G.; Sklyanin, E. K. On spin Calogero-Moser system at infinity. (English) Zbl 1362.81102 J. Phys. A, Math. Theor. 50, No. 11, Article ID 115203, 26 p. (2017). MSC: 81V70 17B69 17B81 81R12 PDF BibTeX XML Cite \textit{S. M. Khoroshkin} et al., J. Phys. A, Math. Theor. 50, No. 11, Article ID 115203, 26 p. (2017; Zbl 1362.81102) Full Text: DOI arXiv OpenURL
Reshetikhin, N. Degenerately integrable systems. (English) Zbl 1369.70035 J. Math. Sci., New York 213, No. 5, 769-785 (2016) and Zap. Nauchn. Semin. POMI 433, 224-245 (2015). MSC: 70H06 17B63 17B80 37K10 PDF BibTeX XML Cite \textit{N. Reshetikhin}, J. Math. Sci., New York 213, No. 5, 769--785 (2016; Zbl 1369.70035) Full Text: DOI arXiv OpenURL
Sun, Yi A new integral formula for Heckman-Opdam hypergeometric functions. (English) Zbl 1336.33033 Adv. Math. 289, 1157-1204 (2016). Reviewer: Willard Miller jun. (Minneapolis) MSC: 33C67 17B63 PDF BibTeX XML Cite \textit{Y. Sun}, Adv. Math. 289, 1157--1204 (2016; Zbl 1336.33033) Full Text: DOI arXiv OpenURL
Grechishnikov, Leonid V. Nekrasov functions and the \(\mathrm{SU}(2)\) Calogero-Moser system. (English) Zbl 1339.35256 Math. Notes 98, No. 4, 589-600 (2015). MSC: 35Q40 81T60 81T13 81Q60 57R57 PDF BibTeX XML Cite \textit{L. V. Grechishnikov}, Math. Notes 98, No. 4, 589--600 (2015; Zbl 1339.35256) Full Text: DOI OpenURL
Hallnäs, Martin; Ruijsenaars, Simon A recursive construction of joint eigenfunctions for the hyperbolic nonrelativistic Calogero-Moser Hamiltonians. (English) Zbl 1328.35242 Int. Math. Res. Not. 2015, No. 20, 10278-10313 (2015). MSC: 35Q82 81R12 37J35 33C67 82B21 PDF BibTeX XML Cite \textit{M. Hallnäs} and \textit{S. Ruijsenaars}, Int. Math. Res. Not. 2015, No. 20, 10278--10313 (2015; Zbl 1328.35242) Full Text: DOI arXiv Link OpenURL
van Diejen, J. F.; Emsiz, E. Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit. (English) Zbl 1331.33032 Adv. Math. 285, 1225-1240 (2015). Reviewer: Francisco Marcellán (Leganes) MSC: 33C67 33C52 PDF BibTeX XML Cite \textit{J. F. van Diejen} and \textit{E. Emsiz}, Adv. Math. 285, 1225--1240 (2015; Zbl 1331.33032) Full Text: DOI arXiv OpenURL
Alexandrov, Alexander; Leurent, Sebastien; Tsuboi, Zengo; Zabrodin, Anton The master \(T\)-operator for the Gaudin model and the KP hierarchy. (English) Zbl 1323.37037 Nucl. Phys., B 883, 173-223 (2014). MSC: 37K10 82B20 14D21 PDF BibTeX XML Cite \textit{A. Alexandrov} et al., Nucl. Phys., B 883, 173--223 (2014; Zbl 1323.37037) Full Text: DOI arXiv OpenURL
Kluck, Timo On the Calogero-Moser solution by root-type Lax pair. (English) Zbl 1287.37038 J. Math. Phys. 53, No. 5, 052702, 10 p. (2012). Reviewer: Angel Zhivkov (Sofia) MSC: 37J35 70E40 70H06 PDF BibTeX XML Cite \textit{T. Kluck}, J. Math. Phys. 53, No. 5, 052702, 10 p. (2012; Zbl 1287.37038) Full Text: DOI arXiv OpenURL
Mukhin, Evgeny; Tarasov, Vitaly; Varchenko, Alexander KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. (English) Zbl 1269.82018 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 072, 11 p. (2012). MSC: 82B23 17B80 37K10 35Q40 PDF BibTeX XML Cite \textit{E. Mukhin} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 072, 11 p. (2012; Zbl 1269.82018) Full Text: DOI arXiv OpenURL
Ruijsenaars, Simon A relativistic conical function and its Whittaker limits. (English) Zbl 1244.33001 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 101, 54 p. (2011). MSC: 33C05 33E30 39A10 81Q05 81Q80 PDF BibTeX XML Cite \textit{S. Ruijsenaars}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 101, 54 p. (2011; Zbl 1244.33001) Full Text: DOI arXiv OpenURL
Etingof, Pavel; Rains, Eric On algebraically integrable differential operators on an elliptic curve. (English) Zbl 1247.37045 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 062, 19 p. (2011). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 70H06 PDF BibTeX XML Cite \textit{P. Etingof} and \textit{E. Rains}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 062, 19 p. (2011; Zbl 1247.37045) Full Text: DOI arXiv OpenURL
Coulembier, Kevin; De Bie, Hendrik; Sommen, Frank Orthogonality of Hermite polynomials in superspace and Mehler type formulae. (English) Zbl 1233.33004 Proc. Lond. Math. Soc. (3) 103, No. 5, 786-825 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 58C50 42B10 PDF BibTeX XML Cite \textit{K. Coulembier} et al., Proc. Lond. Math. Soc. (3) 103, No. 5, 786--825 (2011; Zbl 1233.33004) Full Text: DOI arXiv Link OpenURL
Etingof, Pavel; Felder, Giovanni; Ma, Xiaoguang; Veselov, Alexander On elliptic Calogero-Moser systems for complex crystallographic reflection groups. (English) Zbl 1243.14036 J. Algebra 329, No. 1, 107-129 (2011). Reviewer: Evgeny Smirnov (Moskva) MSC: 14L24 20F55 PDF BibTeX XML Cite \textit{P. Etingof} et al., J. Algebra 329, No. 1, 107--129 (2011; Zbl 1243.14036) Full Text: DOI arXiv OpenURL
Braverman, Alexander; Maulik, Davesh; Okounkov, Andrei Quantum cohomology of the Springer resolution. (English) Zbl 1226.14069 Adv. Math. 227, No. 1, 421-458 (2011). Reviewer: Sergiy Koshkin (Houston) MSC: 14N35 53D45 14L30 PDF BibTeX XML Cite \textit{A. Braverman} et al., Adv. Math. 227, No. 1, 421--458 (2011; Zbl 1226.14069) Full Text: DOI arXiv OpenURL
Aminov, G.; Arthamonov, S. Reduction of the elliptic \(\mathrm{SL}(N,\mathbb C)\) top. (English) Zbl 1252.37048 J. Phys. A, Math. Theor. 44, No. 7, Article ID 075201, 34 p. (2011). MSC: 37J35 70E40 70E45 70H06 PDF BibTeX XML Cite \textit{G. Aminov} and \textit{S. Arthamonov}, J. Phys. A, Math. Theor. 44, No. 7, Article ID 075201, 34 p. (2011; Zbl 1252.37048) Full Text: DOI arXiv OpenURL
Emsiz, E.; Opdam, E. M.; Stokman, J. V. Trigonometric Cherednik algebra at critical level and quantum many-body problems. (English) Zbl 1211.81071 Sel. Math., New Ser. 14, No. 3-4, 571-605 (2009). Reviewer: Eugene Kryachko (Liège) MSC: 81R12 20C08 PDF BibTeX XML Cite \textit{E. Emsiz} et al., Sel. Math., New Ser. 14, No. 3--4, 571--605 (2009; Zbl 1211.81071) Full Text: DOI arXiv OpenURL
Smirnov, A. V. Systems of \(sl(2,\mathbb C)\) tops as two-particle systems. (English. Russian original) Zbl 1200.37063 Theor. Math. Phys. 157, No. 1, 1370-1382 (2008); translation from Teor. Mat. Fiz. 157, No. 1, 8-21 (2008). Reviewer: David Brander (Kongens Lyngby) MSC: 37K10 37J35 PDF BibTeX XML Cite \textit{A. V. Smirnov}, Theor. Math. Phys. 157, No. 1, 1370--1382 (2008; Zbl 1200.37063); translation from Teor. Mat. Fiz. 157, No. 1, 8--21 (2008) Full Text: DOI OpenURL
Chalykh, Oleg Algebro-geometric Schrödinger operators in many dimensions. (English) Zbl 1153.14303 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 947-971 (2008). MSC: 14H70 37K20 35J10 PDF BibTeX XML Cite \textit{O. Chalykh}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 947--971 (2008; Zbl 1153.14303) Full Text: DOI OpenURL
Ruijsenaars, S. N. M. The classical hyperbolic Askey-Wilson dynamics without bound states. (English. Russian original) Zbl 1169.70009 Theor. Math. Phys. 154, No. 3, 418-432 (2008); translation from Teor. Mat. Fiz. 154, No. 3, 492-509 (2008). Reviewer: Milena Radnovic (Beograd) MSC: 70G65 70H05 37J15 PDF BibTeX XML Cite \textit{S. N. M. Ruijsenaars}, Theor. Math. Phys. 154, No. 3, 418--432 (2008; Zbl 1169.70009); translation from Teor. Mat. Fiz. 154, No. 3, 492--509 (2008) Full Text: DOI OpenURL
Ben-Zvi, David; Nevins, Thomas From solitons to many-body systems. (English) Zbl 1153.37031 Pure Appl. Math. Q. 4, No. 2, 319-361 (2008). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K10 37K20 35Q51 35Q53 70F10 81R12 PDF BibTeX XML Cite \textit{D. Ben-Zvi} and \textit{T. Nevins}, Pure Appl. Math. Q. 4, No. 2, 319--361 (2008; Zbl 1153.37031) Full Text: DOI arXiv OpenURL
Hochgerner, Simon Singular cotangent bundle reduction & spin Calogero-Moser systems. (English) Zbl 1146.53062 Differ. Geom. Appl. 26, No. 2, 169-192 (2008). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D30 37J15 PDF BibTeX XML Cite \textit{S. Hochgerner}, Differ. Geom. Appl. 26, No. 2, 169--192 (2008; Zbl 1146.53062) Full Text: DOI arXiv OpenURL
Haine, Luc KP trigonometric solitons and an adelic flag manifold. (English) Zbl 1175.35124 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 015, 15 p. (2007). Reviewer: Xianguo Geng (Zhengzhou) MSC: 35Q53 37K10 35Q51 PDF BibTeX XML Cite \textit{L. Haine}, SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 015, 15 p. (2007; Zbl 1175.35124) Full Text: DOI arXiv EuDML EMIS OpenURL
Vus, A. Ya. Integrable geodesic flows on the two-dimensional sphere generated by one-dimensional multiparticle systems. (Ukrainian. English summary) Zbl 1150.53333 Zb. Pr. Inst. Mat. NAN Ukr. 3, No. 2, 63-70 (2006). Reviewer: I. A. Yehorchenko (Kyiv) MSC: 53C21 53D25 37K10 PDF BibTeX XML Cite \textit{A. Ya. Vus}, Zb. Pr. Inst. Mat. NAN Ukr. 3, No. 2, 63--70 (2006; Zbl 1150.53333) OpenURL
Krichever, Igor M. Integrable linear equations and the Riemann-Schottky problem. (English) Zbl 1132.14032 Ginzburg, Victor (ed.), Algebraic geometry and number theory. In Honor of Vladimir Drinfeld’s 50th birthday. Basel: Birkhäuser (ISBN 978-0-8176-4471-0/hbk). Progress in Mathematics 253, 497-514 (2006). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 14H70 14H40 14K05 37K20 14H42 PDF BibTeX XML Cite \textit{I. M. Krichever}, Prog. Math. 253, 497--514 (2006; Zbl 1132.14032) Full Text: arXiv OpenURL
Couwenberg, Wim; Heckman, Gert; Looijenga, Eduard On the geometry of the Calogero-Moser system. (English) Zbl 1130.33006 Indag. Math., New Ser. 16, No. 3-4, 443-459 (2005). Reviewer: A. Muhammed Uludag (Istanbul) MSC: 33C67 14J15 PDF BibTeX XML Cite \textit{W. Couwenberg} et al., Indag. Math., New Ser. 16, No. 3--4, 443--459 (2005; Zbl 1130.33006) Full Text: DOI arXiv OpenURL
Sergeev, A. N.; Veselov, A. P. Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials. (English) Zbl 1069.05076 Adv. Math. 192, No. 2, 341-375 (2005). MSC: 05E05 81R12 33D45 PDF BibTeX XML Cite \textit{A. N. Sergeev} and \textit{A. P. Veselov}, Adv. Math. 192, No. 2, 341--375 (2005; Zbl 1069.05076) Full Text: DOI arXiv OpenURL
Talalaev, D. V.; Chervov, A. V. Hitchin system on singular curves. (English) Zbl 1178.14035 Theor. Math. Phys. 140, No. 2, 1043-1072 (2004); translation from Teor. Mat. Fiz. 140, No. 2, 179-215 (2004). MSC: 14H70 37J35 14H60 70H06 PDF BibTeX XML Cite \textit{D. V. Talalaev} and \textit{A. V. Chervov}, Theor. Math. Phys. 140, No. 2, 1043--1072 (2004; Zbl 1178.14035); translation from Teor. Mat. Fiz. 140, No. 2, 179--215 (2004) Full Text: DOI arXiv OpenURL
Takemura, Kouichi The Heun equation and the Calogero-Moser-Sutherland system. II: Perturbation and algebraic solution. (English) Zbl 1087.81029 Electron. J. Differ. Equ. 2004, Paper No. 15, 30 p. (2004). MSC: 81R12 81Q05 33E15 81Q10 PDF BibTeX XML Cite \textit{K. Takemura}, Electron. J. Differ. Equ. 2004, Paper No. 15, 30 p. (2004; Zbl 1087.81029) Full Text: arXiv EuDML EMIS OpenURL
Feigin, M.; Veselov, A. P. Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems. (English) Zbl 1034.81024 Int. Math. Res. Not. 2003, No. 46, 2487-2511 (2003). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81R12 37J35 37N20 81R50 PDF BibTeX XML Cite \textit{M. Feigin} and \textit{A. P. Veselov}, Int. Math. Res. Not. 2003, No. 46, 2487--2511 (2003; Zbl 1034.81024) Full Text: DOI arXiv OpenURL
Hurtubise, J. C. Spectral Lax pairs and Calogero-Moser systems. (English) Zbl 1129.37340 D’Hoker, Eric (ed.) et al., Mirror symmetry IV. Proceedings of the conference on strings, duality, and geometry, CRM, Montréal, Canada, 2000. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: International Press (ISBN 0-8218-3335-9/hbk). AMS/IP Stud. Adv. Math. 33, 103-112 (2002). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37J35 70G55 14H70 70H06 PDF BibTeX XML Cite \textit{J. C. Hurtubise}, AMS/IP Stud. Adv. Math. 33, 103--112 (2002; Zbl 1129.37340) OpenURL
Etingof, Pavel; Ginzburg, Victor On \(m\)-quasi-invariants of a Coxeter group. (English) Zbl 1028.81027 Mosc. Math. J. 2, No. 3, 555-566 (2002). MSC: 81R12 20F55 13A50 PDF BibTeX XML Cite \textit{P. Etingof} and \textit{V. Ginzburg}, Mosc. Math. J. 2, No. 3, 555--566 (2002; Zbl 1028.81027) Full Text: arXiv OpenURL
Akhmet’shin, A. A.; Krichever, I. M.; Vol’vovskii, Yu. S. Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system. (English. Russian original) Zbl 1033.37032 Funct. Anal. Appl. 36, No. 4, 253-266 (2002); translation from Funkts. Anal. Prilozh. 36, No. 4, 1-17 (2002). Reviewer: Igor Potemine (Toulouse) MSC: 37K10 37K20 14H70 35Q53 PDF BibTeX XML Cite \textit{A. A. Akhmet'shin} et al., Funct. Anal. Appl. 36, No. 4, 253--266 (2002; Zbl 1033.37032); translation from Funkts. Anal. Prilozh. 36, No. 4, 1--17 (2002) Full Text: DOI OpenURL
Matsuno, Yoshimasa Calogero-Moser-Sutherland dynamical systems associated with nonlocal nonlinear Schrödinger equation for envelope waves. (English) Zbl 1058.37050 J. Phys. Soc. Japan 71, No. 6, 1415-1418 (2002). MSC: 37K10 35Q55 PDF BibTeX XML Cite \textit{Y. Matsuno}, J. Phys. Soc. Japan 71, No. 6, 1415--1418 (2002; Zbl 1058.37050) Full Text: DOI OpenURL
Hurtubise, J. C.; Markman, E. Calogero-Moser systems and Hitchin systems. (English) Zbl 0999.37048 Commun. Math. Phys. 223, No. 3, 533-552 (2001). Reviewer: Mircea Puta (Timişoara) MSC: 37K25 14H70 PDF BibTeX XML Cite \textit{J. C. Hurtubise} and \textit{E. Markman}, Commun. Math. Phys. 223, No. 3, 533--552 (2001; Zbl 0999.37048) Full Text: DOI arXiv OpenURL
Komori, Yasushi Essential self-adjointness of the elliptic Ruijsenaars models. (English) Zbl 1011.81018 J. Math. Phys. 42, No. 9, 4523-4553 (2001). MSC: 81R12 81Q15 17B67 81Q10 39A99 PDF BibTeX XML Cite \textit{Y. Komori}, J. Math. Phys. 42, No. 9, 4523--4553 (2001; Zbl 1011.81018) Full Text: DOI OpenURL
Eilbeck, J. C.; Enolskii, V. Z.; Previato, E. Varieties of elliptic solitons. (English) Zbl 0988.35138 J. Phys. A, Math. Gen. 34, No. 11, 2215-2227 (2001). Reviewer: V.P.Kostov (Nice) MSC: 35Q53 33E05 37K20 PDF BibTeX XML Cite \textit{J. C. Eilbeck} et al., J. Phys. A, Math. Gen. 34, No. 11, 2215--2227 (2001; Zbl 0988.35138) Full Text: DOI Link OpenURL
Ruijsenaars, Simon N. M. Hilbert space theory for reflectionless relativistic potentials. (English) Zbl 1006.81019 Publ. Res. Inst. Math. Sci. 36, No. 6, 707-753 (2000). Reviewer: Farruh Mukhamedov (Tashkent) MSC: 81Q10 47B39 33E30 PDF BibTeX XML Cite \textit{S. N. M. Ruijsenaars}, Publ. Res. Inst. Math. Sci. 36, No. 6, 707--753 (2000; Zbl 1006.81019) Full Text: DOI OpenURL
Hurtubise, J. C. The geometry of generalized Hitchin systems. (English) Zbl 0986.14024 Harnad, J. (ed.) et al., Integrable systems: from classical to quantum. Proceedings of the 38th session of the Séminaire de mathématiques supérieures, Montréal, Canada, July 26-August 6, 1999. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 26, 55-76 (2000). Reviewer: Ian McIntosh (York) MSC: 14K20 37K10 37K20 70H05 PDF BibTeX XML Cite \textit{J. C. Hurtubise}, in: Integrable systems: from classical to quantum. Proceedings of the 38th session of the Séminaire de mathématiques supérieures, Montréal, Canada, July 26--August 6, 1999. Providence, RI: American Mathematical Society (AMS). 55--76 (2000; Zbl 0986.14024) OpenURL
Brzeziński, Tomasz; Gonera, Cezary; Kosiński, Piotr; Maślanka, Paweł A note on the action-angle variables for the rational Calogero-Moser system. (English) Zbl 0944.37033 Phys. Lett., A 268, No. 3, 178-180 (2000). MSC: 37K05 37J40 PDF BibTeX XML Cite \textit{T. Brzeziński} et al., Phys. Lett., A 268, No. 3, 178--180 (2000; Zbl 0944.37033) Full Text: DOI arXiv OpenURL
Dullin, H. R.; Matveev, V. S.; Topalov, P. Ĭ. On integrals of the third degree in momenta. (English) Zbl 1012.37036 Regul. Chaotic Dyn. 4, No. 3, 35-44 (1999). MSC: 37J35 37K10 70H06 53D25 PDF BibTeX XML Cite \textit{H. R. Dullin} et al., Regul. Chaotic Dyn. 4, No. 3, 35--44 (1999; Zbl 1012.37036) Full Text: DOI OpenURL
Chalykh, O. A.; Goncharenko, V. M.; Veselov, A. P. Multidimensional integrable Schrödinger operators with matrix potential. (English) Zbl 0952.37037 J. Math. Phys. 40, No. 11, 5341-5355 (1999). Reviewer: Samir Musayev (Baku) MSC: 37K10 34L40 34M99 81Q05 PDF BibTeX XML Cite \textit{O. A. Chalykh} et al., J. Math. Phys. 40, No. 11, 5341--5355 (1999; Zbl 0952.37037) Full Text: DOI Link OpenURL
Takasaki, Kanehisa Elliptic Calogero-Moser systems and isomonodromic deformations. (English) Zbl 0952.37015 J. Math. Phys. 40, No. 11, 5787-5821 (1999). Reviewer: Samir Musayev (Baku) MSC: 37J35 34M55 PDF BibTeX XML Cite \textit{K. Takasaki}, J. Math. Phys. 40, No. 11, 5787--5821 (1999; Zbl 0952.37015) Full Text: DOI arXiv OpenURL
Veselov, A. P. Deformations of the root systems and new solutions to generalised WDVV equations. (English) Zbl 0951.37028 Phys. Lett., A 261, No. 5-6, 297-302 (1999). MSC: 37K15 37K10 37K30 PDF BibTeX XML Cite \textit{A. P. Veselov}, Phys. Lett., A 261, No. 5--6, 297--302 (1999; Zbl 0951.37028) Full Text: DOI arXiv OpenURL
Ruijsenaars, S. N. M. Generalized Lamé functions. I: The elliptic case. (English) Zbl 0985.34079 J. Math. Phys. 40, No. 3, 1595-1626 (1999). Reviewer: Andrey V.Tsiganov (MR 2000e:33026) MSC: 34L40 33E10 39A70 PDF BibTeX XML Cite \textit{S. N. M. Ruijsenaars}, J. Math. Phys. 40, No. 3, 1595--1626 (1999; Zbl 0985.34079) Full Text: DOI Link OpenURL
Rañada, Manuel F. Superintegrability of the Calogero-Moser system: constants of motion, master symmetries, and time-dependent symmetries. (English) Zbl 0956.37041 J. Math. Phys. 40, No. 1, 236-247 (1999). Reviewer: E.Ershov (St.Peterburg) MSC: 37J15 70F10 70H05 PDF BibTeX XML Cite \textit{M. F. Rañada}, J. Math. Phys. 40, No. 1, 236--247 (1999; Zbl 0956.37041) Full Text: DOI OpenURL
Rañada, Manuel F. Lax formalism for a family of integrable Calogero-Moser related \(n\)-particle systems. (English) Zbl 0959.37053 Phys. Lett., A 238, No. 1, 29-34 (1998). MSC: 37K10 81V70 70H05 PDF BibTeX XML Cite \textit{M. F. Rañada}, Phys. Lett., A 238, No. 1, 29--34 (1998; Zbl 0959.37053) Full Text: DOI OpenURL
Ragnisco, Orlando Soliton equations and classical mechanics. (English) Zbl 0922.35148 Wójcik, Daniel (ed.) et al., Proceedings of the first non-orthodox school on nonlinearity and geometry, Luigi Bianchi days, Warsaw, Poland, September 21–28, 1995. Warszawa: Polish Scientific Publishers PWN. 157-177 (1998). MSC: 35Q51 70H05 PDF BibTeX XML Cite \textit{O. Ragnisco}, in: Proceedings of the first non-orthodox school on nonlinearity and geometry, Luigi Bianchi days, Warsaw, Poland, September 21--28, 1995. Warszawa: Polish Scientific Publishers PWN. 157--177 (1998; Zbl 0922.35148) OpenURL
Kuznetsov, V. B.; Sklyanin, E. K. On Bäcklund transformations for many-body systems. (English) Zbl 0951.37041 J. Phys. A, Math. Gen. 31, No. 9, 2241-2251 (1998). Reviewer: Samir Musayev (Baku) MSC: 37L60 37N20 37K35 81T10 PDF BibTeX XML Cite \textit{V. B. Kuznetsov} and \textit{E. K. Sklyanin}, J. Phys. A, Math. Gen. 31, No. 9, 2241--2251 (1998; Zbl 0951.37041) Full Text: DOI arXiv OpenURL
Orlov, Aleksander Yu. Remarks about the Calogero-Moser system and the KP equation. (English) Zbl 0899.35098 Harnad, John (ed.) et al., The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 14, 227-234 (1998). MSC: 35Q53 58J70 37J35 37K10 PDF BibTeX XML Cite \textit{A. Yu. Orlov}, in: The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Providence, RI: American Mathematical Society. 227--234 (1998; Zbl 0899.35098) OpenURL
Harnad, John Bispectral operators, dual isomonodromic deformations and the Riemann-Hilbert dressing method. (English) Zbl 0924.35115 Harnad, John (ed.) et al., The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 14, 67-79 (1998). Reviewer: E.Previato (Boston) MSC: 35Q40 35Q55 14H42 14H52 37J35 37K10 PDF BibTeX XML Cite \textit{J. Harnad}, in: The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Providence, RI: American Mathematical Society. 67--79 (1998; Zbl 0924.35115) Full Text: arXiv OpenURL
Arutyunov, G. E.; Frolov, S. A. Quantum dynamical R-matrices and quantum Frobenius group. (English) Zbl 0892.17015 Commun. Math. Phys. 191, No. 1, 15-29 (1998). MSC: 17B37 81R50 46L85 46L87 PDF BibTeX XML Cite \textit{G. E. Arutyunov} and \textit{S. A. Frolov}, Commun. Math. Phys. 191, No. 1, 15--29 (1998; Zbl 0892.17015) Full Text: DOI arXiv OpenURL
Braden, H. W.; Buchstaber, V. M. Integrable systems with pairwise interactions and functional equations. (English) Zbl 0894.35109 Rev. Math. Math. Phys. 10, No. 2, 121-166 (1997). Reviewer: E.D.Belokolos (Kiev) MSC: 35Q58 37J35 37K10 PDF BibTeX XML Cite \textit{H. W. Braden} and \textit{V. M. Buchstaber}, Rev. Math. Math. Phys. 10, No. 2, 121--166 (1997; Zbl 0894.35109) Full Text: arXiv OpenURL
Kuznetsov, V. B.; Nijhoff, F. W.; Sklyanin, E. K. Separation of variables for the Ruijsenaars system. (English) Zbl 0892.58040 Commun. Math. Phys. 189, No. 3, 855-877 (1997). MSC: 37J35 37K10 81U20 70H40 81V70 PDF BibTeX XML Cite \textit{V. B. Kuznetsov} et al., Commun. Math. Phys. 189, No. 3, 855--877 (1997; Zbl 0892.58040) Full Text: DOI arXiv OpenURL
Braden, H. W.; Buchstaber, V. M. The general analytic solution of a functional equation of addition type. (English) Zbl 0873.39010 SIAM J. Math. Anal. 28, No. 4, 903-923 (1997). MSC: 39B32 33E05 PDF BibTeX XML Cite \textit{H. W. Braden} and \textit{V. M. Buchstaber}, SIAM J. Math. Anal. 28, No. 4, 903--923 (1997; Zbl 0873.39010) Full Text: DOI arXiv OpenURL
Buchstaber, V.; Krichever, I. Multidimensional vector addition theorems and the Riemann theta functions. (English) Zbl 1061.14502 Int. Math. Res. Not. 1996, No. 10, 505-513 (1996). MSC: 14K25 14H40 14H42 39B62 81V70 PDF BibTeX XML Cite \textit{V. Buchstaber} and \textit{I. Krichever}, Int. Math. Res. Not. 1996, No. 10, 505--513 (1996; Zbl 1061.14502) Full Text: DOI OpenURL
Nijhoff, F. W.; Ragnisco, O.; Kuznetsov, V. B. Integrable time-discretization of the Ruijsenaars-Schneider model. (English) Zbl 0851.58025 Commun. Math. Phys. 176, No. 3, 681-700 (1996). MSC: 37J35 37K10 81T27 37J99 PDF BibTeX XML Cite \textit{F. W. Nijhoff} et al., Commun. Math. Phys. 176, No. 3, 681--700 (1996; Zbl 0851.58025) Full Text: DOI arXiv OpenURL
Rañada, Manuel F. Integrable three-particle systems, hidden symmetries and deformations of the Calogero-Moser system. (English) Zbl 0844.58033 J. Math. Phys. 36, No. 7, 3541-3558 (1995). MSC: 37J99 70F07 70H33 PDF BibTeX XML Cite \textit{M. F. Rañada}, J. Math. Phys. 36, No. 7, 3541--3558 (1995; Zbl 0844.58033) Full Text: DOI OpenURL
Kasman, Alex Bispectral KP solutions and linearization of Calogero-Moser particle systems. (English) Zbl 0842.58047 Commun. Math. Phys. 172, No. 2, 427-448 (1995). MSC: 37J35 37K10 35Q58 81V25 PDF BibTeX XML Cite \textit{A. Kasman}, Commun. Math. Phys. 172, No. 2, 427--448 (1995; Zbl 0842.58047) Full Text: DOI arXiv OpenURL
Krichever, I.; Babelon, O.; Billey, E.; Talon, M. Spin generalization of the Calogero-Moser system and the matrix KP equation. (English) Zbl 0843.58069 Novikov, S. P. (ed.), Topics in topology and mathematical physics. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 170(27), 83-119 (1995). Reviewer: G.Zet (Iaşi) MSC: 37J35 37K10 35Q58 PDF BibTeX XML Cite \textit{I. Krichever} et al., Transl., Ser. 2, Am. Math. Soc. 170, 83--119 (1995; Zbl 0843.58069) Full Text: arXiv OpenURL
Sklyanin, Evgueni K. Separation of variables. New trends. (English) Zbl 0868.35002 Inami, Takeo (ed.) et al., Quantum field theory, integrable models and beyond. Proceedings of a workshop, Kyoto, Japan, February 14-17, 1994. Kyoto: Kyoto University, Yukawa Inst. for Theoretical Physics, Prog. Theor. Phys., Suppl. 118, 35-60 (1995). MSC: 35-02 35A25 35Q55 PDF BibTeX XML Cite \textit{E. K. Sklyanin}, Prog. Theor. Phys., Suppl. 118, 35--60 (1995; Zbl 0868.35002) Full Text: arXiv OpenURL
Olshanetsky, M. A. Martin boundaries for real semisimple Lie groups. (English) Zbl 0837.22010 J. Funct. Anal. 126, No. 1, 169-216 (1994). Reviewer: H.Fujiwara (Iizuka) MSC: 22E46 53C35 PDF BibTeX XML Cite \textit{M. A. Olshanetsky}, J. Funct. Anal. 126, No. 1, 169--216 (1994; Zbl 0837.22010) Full Text: DOI OpenURL
Heckman, Gerrit J. A remark on the Dunkl differential-difference operators. (English) Zbl 0749.33005 Harmonic analysis on reductive groups, Proc. Conf., Brunswick/ME (USA) 1989, Prog. Math. 101, 181-191 (1991). Reviewer: C.F.Dunkl (Charlottesville) MSC: 33C80 20F55 13N10 PDF BibTeX XML Cite \textit{G. J. Heckman}, Prog. Math. 101, 181--191 (1991; Zbl 0749.33005) OpenURL
Ruijsenaars, S. N. M. Complete integrability of relativistic Calogero-Moser systems and elliptic function identities. (English) Zbl 0673.58024 Commun. Math. Phys. 110, 191-213 (1987). Reviewer: H.H.Torriani MSC: 37J35 37K10 81S99 33E05 15A15 PDF BibTeX XML Cite \textit{S. N. M. Ruijsenaars}, Commun. Math. Phys. 110, 191--213 (1987; Zbl 0673.58024) Full Text: DOI OpenURL
Schneider, Harald Integrable relativistic N-particle systems in an external potential. (English) Zbl 0613.58016 Physica D 26, 203-209 (1987). MSC: 37J35 37K10 70F10 PDF BibTeX XML Cite \textit{H. Schneider}, Physica D 26, 203--209 (1987; Zbl 0613.58016) Full Text: DOI OpenURL
Ruijsenaars, S. N. M.; Schneider, H. A new class of integrable systems and its relation to solitons. (English) Zbl 0608.35071 Ann. Phys. 170, 370-405 (1986). Reviewer: E.Belokolos MSC: 35Q99 PDF BibTeX XML Cite \textit{S. N. M. Ruijsenaars} and \textit{H. Schneider}, Ann. Phys. 170, 370--405 (1986; Zbl 0608.35071) Full Text: DOI OpenURL
Its, A. R.; Ehnol’skij, V. Z. Dynamics of the Calogero-Moser system and the reduction of hyperelliptic integrals of elliptic integrals. (English. Russian original) Zbl 0602.14031 Funct. Anal. Appl. 20, 62-64 (1986); translation from Funkts. Anal. Prilozh. 20, No. 1, 73-74 (1986). Reviewer: M.Ţarina MSC: 14H45 14H40 70F99 14H52 33E05 PDF BibTeX XML Cite \textit{A. R. Its} and \textit{V. Z. Ehnol'skij}, Funct. Anal. Appl. 20, 62--64 (1986; Zbl 0602.14031); translation from Funkts. Anal. Prilozh. 20, No. 1, 73--74 (1986) Full Text: DOI OpenURL