Daletskii, Alexei; Kondratiev, Yuri; Pasurek, Tanja Sergio’s work in statistical mechanics: from quantum particles to geometric stochastic analysis. (English) Zbl 07819351 Hilbert, Astrid (ed.) et al., Quantum and stochastic mathematical physics. Sergio Albeverio, adventures of a mathematician, Verona, Italy, March 25–29, 2019. Cham: Springer. Springer Proc. Math. Stat. 377, 217-246 (2023). MSC: 82B10 60J60 60G60 46G12 46T12 PDFBibTeX XMLCite \textit{A. Daletskii} et al., Springer Proc. Math. Stat. 377, 217--246 (2023; Zbl 07819351) Full Text: DOI
Chargaziya, Georgy; Daletskii, Alexei Stochastic differential equations in a scale of Hilbert spaces. Global solutions. (English) Zbl 07790358 Electron. Commun. Probab. 28, Paper No. 50, 13 p. (2023). MSC: 60H10 46E99 82C20 82C31 PDFBibTeX XMLCite \textit{G. Chargaziya} and \textit{A. Daletskii}, Electron. Commun. Probab. 28, Paper No. 50, 13 p. (2023; Zbl 07790358) Full Text: DOI arXiv
Albeverio, Sergio; Brzeźniak, Zdzisław; Daletskii, Alexei Stochastic Camassa-Holm equation with convection type noise. (English) Zbl 1469.60202 J. Differ. Equations 276, 404-432 (2021). Reviewer: Stefan Tappe (Freiburg) MSC: 60H15 60H25 35R60 76B15 35Q86 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Differ. Equations 276, 404--432 (2021; Zbl 1469.60202) Full Text: DOI arXiv
Belopolskaya, Yana; Daletskii, Alexei Yuri Daletskii and the development of infinite dimensional analysis. (English) Zbl 1448.01018 Eur. Math. Soc. Newsl. 116, 13-16 (2020). MSC: 01A70 46-03 PDFBibTeX XMLCite \textit{Y. Belopolskaya} and \textit{A. Daletskii}, Eur. Math. Soc. Newsl. 116, 13--16 (2020; Zbl 1448.01018) Full Text: DOI
Daletskii, Alexei; Kalyuzhny, Alexander; Lytvynov, Eugene; Proskurin, Daniil Fock representations of multicomponent (particularly non-abelian anyon) commutation relations. (English) Zbl 1478.81020 Rev. Math. Phys. 32, No. 5, Article ID 2030004, 36 p. (2020). MSC: 81S05 81R10 47L90 81V27 PDFBibTeX XMLCite \textit{A. Daletskii} et al., Rev. Math. Phys. 32, No. 5, Article ID 2030004, 36 p. (2020; Zbl 1478.81020) Full Text: DOI arXiv
Daletskii, Alexei Stochastic differential equations in a scale of Hilbert spaces. (English) Zbl 1406.60087 Electron. J. Probab. 23, Paper No. 119, 15 p (2018). MSC: 60H10 82C20 82C31 46E99 PDFBibTeX XMLCite \textit{A. Daletskii}, Electron. J. Probab. 23, Paper No. 119, 15 p (2018; Zbl 1406.60087) Full Text: DOI arXiv Euclid
Daletskii, Alexei; Finkelshtein, Dmitri Non-equilibrium particle dynamics with unbounded number of interacting neighbors. (English) Zbl 1405.82020 J. Stat. Phys. 173, No. 6, 1639-1659 (2018). MSC: 82C22 34A12 34A30 60G55 PDFBibTeX XMLCite \textit{A. Daletskii} and \textit{D. Finkelshtein}, J. Stat. Phys. 173, No. 6, 1639--1659 (2018; Zbl 1405.82020) Full Text: DOI Link
Conache, Diana; Daletskii, Alexei; Kondratiev, Yuri; Pasurek, Tanja Gibbs states of continuum particle systems with unbounded spins: existence and uniqueness. (English) Zbl 1383.82033 J. Math. Phys. 59, No. 1, 013507, 25 p. (2018). MSC: 82C21 82B30 82C22 PDFBibTeX XMLCite \textit{D. Conache} et al., J. Math. Phys. 59, No. 1, 013507, 25 p. (2018; Zbl 1383.82033) Full Text: DOI Link
Daletskiĭ, Alexei Percolation and phase transitions in a class of random spin systems. (English) Zbl 1363.82004 Methods Funct. Anal. Topol. 21, No. 3, 225-236 (2015). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 82B43 82B21 60K35 60G35 PDFBibTeX XMLCite \textit{A. Daletskiĭ}, Methods Funct. Anal. Topol. 21, No. 3, 225--236 (2015; Zbl 1363.82004)
Daletskii, Alexei; Kondratiev, Yuri; Kozitsky, Yuri Phase transitions in continuum ferromagnets with unbounded spins. (English) Zbl 1327.82095 J. Math. Phys. 56, No. 11, 113502, 16 p. (2015). MSC: 82D40 82B20 82B30 82B26 PDFBibTeX XMLCite \textit{A. Daletskii} et al., J. Math. Phys. 56, No. 11, 113502, 16 p. (2015; Zbl 1327.82095) Full Text: DOI arXiv
Daletskii, Alexei; Ul Haq, Ahsan Push-forward measures on configuration spaces: integration by parts and log-Sobolev inequality. (English) Zbl 1347.60096 Complex Anal. Oper. Theory 9, No. 7, 1533-1555 (2015). MSC: 60H99 PDFBibTeX XMLCite \textit{A. Daletskii} and \textit{A. Ul Haq}, Complex Anal. Oper. Theory 9, No. 7, 1533--1555 (2015; Zbl 1347.60096) Full Text: DOI
Daletskii, Alexei; Kondratiev, Yuri; Kozitsky, Yuri; Pasurek, Tanja A phase transition in a quenched amorphous ferromagnet. (English) Zbl 1298.82074 J. Stat. Phys. 156, No. 1, 156-176 (2014). MSC: 82D40 82B44 82B21 82B26 82B43 05C80 60G55 PDFBibTeX XMLCite \textit{A. Daletskii} et al., J. Stat. Phys. 156, No. 1, 156--176 (2014; Zbl 1298.82074) Full Text: DOI arXiv OA License
Daletskii, Alexei; Kondratiev, Yuri; Kozitsky, Yuri; Pasurek, Tanja Gibbs states on random configurations. (English) Zbl 1301.82021 J. Math. Phys. 55, No. 8, 083513, 17 p. (2014). MSC: 82B30 60G55 PDFBibTeX XMLCite \textit{A. Daletskii} et al., J. Math. Phys. 55, No. 8, 083513, 17 p. (2014; Zbl 1301.82021) Full Text: DOI arXiv
Daletskii, Alexei; Ul Haq, Ahsan Logarithmic Sobolev inequality for a class of measures on configuration spaces. (English) Zbl 1313.46050 Methods Funct. Anal. Topol. 19, No. 4, 293-300 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 46G99 60G55 70F45 PDFBibTeX XMLCite \textit{A. Daletskii} and \textit{A. Ul Haq}, Methods Funct. Anal. Topol. 19, No. 4, 293--300 (2013; Zbl 1313.46050)
Bogachev, Leonid; Daletskii, Alexei Gibbs cluster measures on configuration spaces. (English) Zbl 1262.60044 J. Funct. Anal. 264, No. 2, 508-550 (2013). Reviewer: Viktor Ohanyan (Erevan) MSC: 60G55 60G60 70F45 82B05 PDFBibTeX XMLCite \textit{L. Bogachev} and \textit{A. Daletskii}, J. Funct. Anal. 264, No. 2, 508--550 (2013; Zbl 1262.60044) Full Text: DOI arXiv
Bogachev, Leonid; Daletskii, Alexei Cluster point processes on manifolds. (English) Zbl 1268.58025 J. Geom. Phys. 63, 45-79 (2013). Reviewer: Elisa Alòs (Barcelona) MSC: 58J65 46G12 60G55 70F45 53B21 PDFBibTeX XMLCite \textit{L. Bogachev} and \textit{A. Daletskii}, J. Geom. Phys. 63, 45--79 (2013; Zbl 1268.58025) Full Text: DOI arXiv
Daletskii, Alexei; Kalyuzhnyi, Alexander \(L^2\) dimensions of spaces of braid-invariant harmonic forms. (English) Zbl 1244.58001 J. Geom. Phys. 62, No. 5, 1309-1322 (2012). MSC: 58A10 20F36 46L10 58A12 58J22 55R80 PDFBibTeX XMLCite \textit{A. Daletskii} and \textit{A. Kalyuzhnyi}, J. Geom. Phys. 62, No. 5, 1309--1322 (2012; Zbl 1244.58001) Full Text: DOI arXiv
Bogachev, Leonid; Daletskii, Alexei Poisson cluster measures: Quasi-invariance, integration by parts and equilibrium stochastic dynamics. (English) Zbl 1170.60022 J. Funct. Anal. 256, No. 2, 432-478 (2009). Reviewer: Wolfgang Freudenberg (Cottbus) MSC: 60G55 60G57 28A33 46N30 PDFBibTeX XMLCite \textit{L. Bogachev} and \textit{A. Daletskii}, J. Funct. Anal. 256, No. 2, 432--478 (2009; Zbl 1170.60022) Full Text: DOI arXiv Link
Daletskii, Alexei Families of Witten Laplacians associated with interacting particle systems, and von Neumann algebras. (English) Zbl 1167.58013 Albeverio, Sergio (ed) et al., Traces in number theory, geometry and quantum fields. Wiesbaden: Vieweg (ISBN 978-3-8348-0371-9/hbk). Aspects of Mathematics E38, 111-127 (2008). Reviewer: Agostino Prástaro (Roma) MSC: 58J20 46L10 46L54 58J22 58J65 PDFBibTeX XMLCite \textit{A. Daletskii}, in: Traces in number theory, geometry and quantum fields. Wiesbaden: Vieweg. 111--127 (2008; Zbl 1167.58013)
Albeverio, Sergio; Daletskii, Alexei; Kalyuzhnyi, Alexander Random Witten Laplacians: Traces of semigroups, \(L^{2}\)-Betti numbers and index. (English) Zbl 1154.58017 J. Eur. Math. Soc. (JEMS) 10, No. 3, 571-599 (2008). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 58J65 60G55 58A10 58A12 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Eur. Math. Soc. (JEMS) 10, No. 3, 571--599 (2008; Zbl 1154.58017) Full Text: DOI Link
Bogachev, L.; Daletskii, A. Analysis on configuration spaces and Gibbs cluster ensembles. (English) Zbl 1179.60064 Russ. J. Math. Phys. 14, No. 4, 397-408 (2007). MSC: 60K35 82B05 31C25 PDFBibTeX XMLCite \textit{L. Bogachev} and \textit{A. Daletskii}, Russ. J. Math. Phys. 14, No. 4, 397--408 (2007; Zbl 1179.60064) Full Text: DOI
Albeverio, Sergio; Daletskii, Alexei; Kalyuzhnyi, Alexander Traces of semigroups associated with interacting particle systems. (English) Zbl 1147.58016 J. Funct. Anal. 246, No. 2, 196-216 (2007). Reviewer: Otto Liess (Bologna) MSC: 58J05 58J35 46L10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 246, No. 2, 196--216 (2007; Zbl 1147.58016) Full Text: DOI
Daletskii, Alexei; Kalyuzhnyi, Alexander Permutations in tensor products of factors, and \(L^2\)-cohomology of configuration spaces. (English) Zbl 1117.46039 Methods Funct. Anal. Topol. 12, No. 4, 341-352 (2006). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 46L10 58B99 PDFBibTeX XMLCite \textit{A. Daletskii} and \textit{A. Kalyuzhnyi}, Methods Funct. Anal. Topol. 12, No. 4, 341--352 (2006; Zbl 1117.46039)
Albeverio, Sergio; Daletskii, Alexei \(L^{2}\)-Betti numbers of infinite configuration spaces. (English) Zbl 1114.58001 Publ. Res. Inst. Math. Sci. 42, No. 3, 649-682 (2006). Reviewer: Andrew Bucki (Edmond) MSC: 58A12 60G57 58J65 58A10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Daletskii}, Publ. Res. Inst. Math. Sci. 42, No. 3, 649--682 (2006; Zbl 1114.58001) Full Text: DOI
Albeverio, Sergio; Daletskii, Alexei Recent developments on harmonic forms and \(L^2\)-Betti numbers of infinite configuration spaces with Poisson. (English) Zbl 1132.58012 Heyer, Herbert (ed.) et al., Infinite dimensional harmonic analysis III. Proceedings of the 3rd German-Japanese symposium, University of Tübingen, Tübingen, Germany, September 15–20, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-593-0/hbk). 1-15 (2005). Reviewer: Yuri A. Brudnyi (Haifa) MSC: 58J10 58D20 28A33 28C10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Daletskii}, in: Infinite dimensional harmonic analysis III. Proceedings of the 3rd German-Japanese symposium, University of Tübingen, Tübingen, Germany, September 15--20, 2003. Hackensack, NJ: World Scientific. 1--15 (2005; Zbl 1132.58012)
Daletskii, Alexei Poisson configuration spaces, von Neumann algebras, and harmonic forms. (English) Zbl 1362.14023 J. Nonlinear Math. Phys. 11, Suppl. 1, 179-184 (2004). MSC: 14F40 46L10 PDFBibTeX XMLCite \textit{A. Daletskii}, J. Nonlinear Math. Phys. 11, 179--184 (2004; Zbl 1362.14023) Full Text: DOI OA License
Daletskii, A. Yu.; Kalyuzhnyi, A. A. Permutations in tensor products of factors, and \(L^2\) Betti numbers of configuration spaces. (English) Zbl 1096.46033 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3227-6). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(3), 1071-1078 (2004). Reviewer: I. Yehorchenko (Kyïv) MSC: 46L35 55R80 46L55 PDFBibTeX XMLCite \textit{A. Yu. Daletskii} and \textit{A. A. Kalyuzhnyi}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine. 1071--1078 (2004; Zbl 1096.46033)
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri Stochastic equations and Dirichlet operators on infinite product manifolds. (English) Zbl 1049.60055 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6, No. 3, 455-488 (2003). Reviewer: Carles Rovira (Barcelona) MSC: 60H15 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6, No. 3, 455--488 (2003; Zbl 1049.60055) Full Text: DOI
Albeverio, Sergio; Brzeźniak, Zdzisław; Daletski, Alexei Stochastic differential equations on product loop manifolds. (English) Zbl 1229.58028 Bull. Sci. Math. 127, No. 7, 649-667 (2003). MSC: 58J65 60J10 82B10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Bull. Sci. Math. 127, No. 7, 649--667 (2003; Zbl 1229.58028) Full Text: DOI
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri; Lytvynov, Eugene Laplace operators in deRham complexes associated with measures on configuration spaces. (English) Zbl 1026.60060 J. Geom. Phys. 47, No. 2-3, 259-302 (2003). Reviewer: J.Picard (Aubière) MSC: 60G55 58A10 58A12 58J65 46M20 58J10 82C22 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Geom. Phys. 47, No. 2--3, 259--302 (2003; Zbl 1026.60060) Full Text: DOI arXiv
Albeverio, Sergio; Daletskii, Alexei; Lytvynov, Eugene De Rham cohomology of configuration spaces with Poisson measure. (English) Zbl 0989.60049 J. Funct. Anal. 185, No. 1, 240-273 (2001). Reviewer: Nicolas Privault (La Rochelle) MSC: 60G57 58A12 58J65 58A10 46M20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 185, No. 1, 240--273 (2001; Zbl 0989.60049) Full Text: DOI arXiv
Albeverio, Sergio; Daletskii, Alexei; Lytvynov, Eugene Laplace operators on differential forms over configuration spaces. (English) Zbl 0969.60055 J. Geom. Phys. 37, No. 1-2, 15-46 (2001). Reviewer: Nicolas Privault (La Rochelle) MSC: 60G57 58A10 58J65 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Geom. Phys. 37, No. 1--2, 15--46 (2001; Zbl 0969.60055) Full Text: DOI arXiv
Albeverio, Sergio; Daletskii, Alexei; Lytvynov, Eugene Laplace operators and diffusions in tangent bundles over Poisson spaces. (English) Zbl 0990.58022 Clément, Ph. (ed.) et al., Infinite dimensional stochastic analysis. Proceedings of the colloquium, Amsterdam, Netherlands, February 11-12, 1999. Amsterdam: Royal Netherlands Academy of Arts and Sciences. Verh. Afd. Natuurkd., 1. Reeks, K. Ned. Akad. Wet. 52, 1-24 (2000). Reviewer: Simon Eloshvili (Tbilisi) MSC: 58J65 60J60 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Verh. Afd. Natuurkd., 1. Reeks, K. Ned. Akad. Wet. 52, 1--24 (2000; Zbl 0990.58022) Full Text: arXiv
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri; Röckner, Michael Stochastic dynamics of compact spins: ergodicity and irreducibility. (English) Zbl 0990.58025 Acta Appl. Math. 63, No. 1-3, 27-40 (2000). Reviewer: Katarina Janková (Bratislava) MSC: 58J65 58J90 82B20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Acta Appl. Math. 63, No. 1--3, 27--40 (2000; Zbl 0990.58025) Full Text: DOI
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri De Rham complex over product manifolds: Dirichlet forms and stochastic dynamics. (English) Zbl 0968.37027 Albeverio, S. (ed.) et al., Mathematical physics and stochastic analysis. Essays in honour of Ludwig Streit. Conference to celebrate Ludwig Streit’s 60th birthday, Lisbon, Portugal, October 1998. Singapore: World Scientific. 37-53 (2000). Reviewer: Jacques Franchi (Strasbourg) MSC: 37L55 58C35 58C50 60K35 PDFBibTeX XMLCite \textit{S. Albeverio} et al., in: Mathematical physics and stochastic analysis. Essays in honour of Ludwig Streit. Conference to celebrate Ludwig Streit's 60th birthday, Lisbon, Portugal, October 1998. Singapore: World Scientific. 37--53 (2000; Zbl 0968.37027)
Albeverio, Sergio; Daletskii, Alexei Quasi-invariance and Gibbs structure of diffusion measures on infinite product groups. (English) Zbl 0965.58027 Methods Funct. Anal. Topol. 6, No. 1, 28-42 (2000). Reviewer: A.N.Kochubei (Kyïv) MSC: 58J65 58D20 22E65 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Daletskii}, Methods Funct. Anal. Topol. 6, No. 1, 28--42 (2000; Zbl 0965.58027)
Albeveiro, Sergio; Daletskii, Alexei; Kondratiev, Yuri Stochastic analysis on product manifolds: Dirichlet operators on differential forms. (English) Zbl 0970.58020 J. Funct. Anal. 176, No. 2, 280-316 (2000). Reviewer: Jean Picard (Aubière) MSC: 58J65 60J60 58B99 31C25 PDFBibTeX XMLCite \textit{S. Albeveiro} et al., J. Funct. Anal. 176, No. 2, 280--316 (2000; Zbl 0970.58020) Full Text: DOI
Albeverio, Sergio; Daletskii, Alexei Stochastic equations and quasi-invariance on infinite product groups. (English) Zbl 0985.60060 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2, No. 2, 283-288 (1999). Reviewer: Yana Belopolskaya (St.Peterburg) MSC: 60H10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Daletskii}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2, No. 2, 283--288 (1999; Zbl 0985.60060) Full Text: DOI
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri Stochastic evolution on product manifolds. (English) Zbl 0963.60100 Antoniou, Ioannis (ed.) et al., Generalized functions, operator theory, and dynamical systems. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 399, 274-298 (1999). Reviewer: J.Franchi (Strasbourg) MSC: 60K35 60H10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Chapman Hall/CRC Res. Notes Math. 399, 274--298 (1999; Zbl 0963.60100)
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri Stochastic analysis on (infinite-dimensional) product manifolds. (English) Zbl 0943.60061 Crauel, Hans (ed.) et al., Stochastic dynamics. Conference on Random dynamical systems, Bremen, Germany, April 28 - May 2, 1997. Dedicated to Ludwig Arnold on the occasion of his 60th birthday. New York, NY: Springer. 339-369 (1999). Reviewer: J.Jakubowski (Warszawa) MSC: 60H30 60K40 PDFBibTeX XMLCite \textit{S. Albeverio} et al., in: Stochastic dynamics. Conference on Random dynamical systems, Bremen, Germany, April 28 - May 2, 1997. Dedicated to Ludwig Arnold on the ocassion of his 60th birthday. New York, NY: Springer. 339--369 (1999; Zbl 0943.60061)
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri; Röckner, Michael Fluctuations and their Glauber dynamics in lattice systems. (English) Zbl 0951.60057 J. Funct. Anal. 166, No. 1, 148-167 (1999). Reviewer: Wu Chengxun (Shanghai) MSC: 60G60 60K35 60K40 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 166, No. 1, 148--167 (1999; Zbl 0951.60057) Full Text: DOI
Albeverio, S.; Daletskij, A.; Kondratiev, Yu. Some examples of Dirichlet operators associated with the actions of infinite dimensional Lie groups. (English) Zbl 0936.58005 Methods Funct. Anal. Topol. 4, No. 2, 1-15 (1998). Reviewer: A.N.Kochubei (Kyïv) MSC: 58D20 28C20 58J65 58D05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Methods Funct. Anal. Topol. 4, No. 2, 1--15 (1998; Zbl 0936.58005)
Albeverio, Sergio; Daletskii, Alexei Algebras of pseudodifferential operators in \(L_2\) given by smooth measures on Hilbert spaces. (English) Zbl 0910.47043 Math. Nachr. 192, 5-22 (1998). Reviewer: L.Hącia (Poznań) MSC: 47G30 46G10 81Q20 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Daletskii}, Math. Nachr. 192, 5--22 (1998; Zbl 0910.47043) Full Text: DOI
Daletskii, Yuri L.; Takhtajan, Leon A. Leibniz and Lie algebra structures for Nambu algebra. (English) Zbl 0869.58024 Lett. Math. Phys. 39, No. 2, 127-141 (1997). MSC: 37J35 37K10 70H99 PDFBibTeX XMLCite \textit{Y. L. Daletskii} and \textit{L. A. Takhtajan}, Lett. Math. Phys. 39, No. 2, 127--141 (1997; Zbl 0869.58024) Full Text: DOI
Daletskij, Alexei Asymptotic expansions for a class of infinite dimensional pseudodifferential operators. (English) Zbl 0936.35206 Methods Funct. Anal. Topol. 3, No. 1, 51-61 (1997). Reviewer: A.N.Kochubei (Kyïv) MSC: 35S05 35R15 35Q40 35S10 PDFBibTeX XMLCite \textit{A. Daletskij}, Methods Funct. Anal. Topol. 3, No. 1, 51--61 (1997; Zbl 0936.35206)
Albeverio, S.; Daletskij, A.; Kondratiev, Yu. Infinite systems of stochastic differential equations and some lattice models on compact Riemannian manifolds. (English) Zbl 0941.58022 Ukr. Math. J. 49, No. 3, 360-372 (1997) and Ukr. Mat. Zh. 49, No. 3, 326-337 (1997). Reviewer: A.N.Kochubei (Kiev) MSC: 58J65 60H10 28C20 82C20 82C31 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Ukr. Mat. Zh. 49, No. 3, 326--337 (1997; Zbl 0941.58022) Full Text: DOI
Daletskij, Yuri; Salehi, Habib; Skorokhod, Anatolij An application of orthogonal and biorthogonal systems to filtering problems. (English) Zbl 0923.60043 Theory Probab. Math. Stat. 56, 175-182 (1998) and Teor. Jmovirn. Mat. Stat. 56, 169-176 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60G35 60G57 60G55 PDFBibTeX XMLCite \textit{Y. Daletskij} et al., Teor. Ĭmovirn. Mat. Stat. 56, 169--176 (1997; Zbl 0923.60043)
Arnol’d, V. I.; Berezanskij, Yu. M.; Daletskij, Yu. L.; Kutateladze, S. S.; Lavrent’ev, M. M.; Reshetnyak, Yu. G.; Semenov, E. M.; Sklyadnev, S. A. Selim Grigor’evich Krein (on his 80th birthday). (English. Russian original) Zbl 0915.01016 Russ. Math. Surv. 52, No. 6, 1349-1350 (1997); translation from Usp. Mat. Nauk 52, No. 6, 203-204 (1997). MSC: 01A70 01A65 PDFBibTeX XMLCite \textit{V. I. Arnol'd} et al., Russ. Math. Surv. 52, No. 6, 1349--1350 (1997; Zbl 0915.01016); translation from Usp. Mat. Nauk 52, No. 6, 203--204 (1997) Full Text: DOI
Daletskii, Yuri L.; Kushnirevitch, Vitaly A. Formal differential geometry and Nambu-Takhtajan algebra. (English) Zbl 0883.17029 Budzyński, Robert (ed.) et al., Quantum groups and quantum spaces. Lectures delivered during the minisemester, Warsaw, Poland, December 1, 1995. Warszawa: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 40, 293-302 (1997). Reviewer: A.R.Magid (Norman) MSC: 17B70 81R99 58A99 PDFBibTeX XMLCite \textit{Y. L. Daletskii} and \textit{V. A. Kushnirevitch}, Banach Cent. Publ. 40, 293--302 (1997; Zbl 0883.17029)
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri A stochastic differential equation approach to some lattice models on compact Lie groups. (English) Zbl 0876.60093 Random Oper. Stoch. Equ. 4, No. 3, 239-249 (1996). MSC: 60K40 60H10 60B15 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Random Oper. Stoch. Equ. 4, No. 3, 239--249 (1996; Zbl 0876.60093) Full Text: DOI
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri A stochastic differential equation approach to lattice spin models with values in compact Lie groups. (English) Zbl 0856.60104 Heyer, Herbert (ed.) et al., Infinite dimensional harmonic analysis. Transactions of a German-Japanese symposium, October 3-6, 1995, University of Tübingen, Germany. Bamberg: D. u. M. Gräbner, 1-16 (1996). Reviewer: S.Albeverio (Bochum) MSC: 60K40 82C31 60H10 58B99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., in: Infinite dimensional harmonic analysis. Transactions of a German-Japanese symposium, October 3-6, 1995, University of Tübingen, Germany. Bamberg: D. u. M. Gräbner. 1--16 (1996; Zbl 0856.60104)
Albeverio, S.; Daletsky, Yu. L.; Kondratiev, Yu. G.; Streit, L. Non-Gaussian infinite dimensional analysis. (English) Zbl 0868.60041 J. Funct. Anal. 138, No. 2, 311-350 (1996). Reviewer: He Sheng Wu (Shanghai) MSC: 60G20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 138, No. 2, 311--350 (1996; Zbl 0868.60041) Full Text: DOI
Albeverio, Sergio; Daletskij, Alexei Asymptotic quantization for solution manifolds of some infinite dimensional Hamiltonian systems. (English) Zbl 0852.58044 J. Geom. Phys. 19, No. 1, 31-46 (1996). Reviewer: M.Puta (Timişoara) MSC: 53D50 47G30 37J99 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Daletskij}, J. Geom. Phys. 19, No. 1, 31--46 (1996; Zbl 0852.58044) Full Text: DOI
Daletskij, Yu. L.; Kushnirevich, V. A. Differential structures in a Lie superalgebra. (Russian) Zbl 0893.58009 Ukr. Mat. Zh. 48, No. 4, 435-442 (1996). Reviewer: A.N.Kochubei (Kyïv) MSC: 46L85 46L87 17B70 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{V. A. Kushnirevich}, Ukr. Mat. Zh. 48, No. 4, 435--442 (1996; Zbl 0893.58009) Full Text: DOI
Baranovich, A. M.; Daletskij, Yu. L. A differential-geometric model in the class of formal power series. (Russian) Zbl 0893.58001 Ukr. Mat. Zh. 48, No. 6, 739-746 (1996). Reviewer: A.N.Kochubei (Kyïv) MSC: 58A05 13F25 53B99 18F15 PDFBibTeX XMLCite \textit{A. M. Baranovich} and \textit{Yu. L. Daletskij}, Ukr. Mat. Zh. 48, No. 6, 739--746 (1996; Zbl 0893.58001) Full Text: DOI
Baranovich, A. M.; Daletskiǐ, Yu. L. Differential-geometric relations for a class of formal operator power series. (English) Zbl 0923.18004 Methods Funct. Anal. Topol. 2, No. 1, 1-16 (1996). Reviewer: G.F.Us (Kyïv) MSC: 18F15 53B99 17B99 PDFBibTeX XMLCite \textit{A. M. Baranovich} and \textit{Yu. L. Daletskiǐ}, Methods Funct. Anal. Topol. 2, No. 1, 1--16 (1996; Zbl 0923.18004)
Baranovich, A. M.; Daletskij, Yu. L. Differential geometric model in the class of formal operator power series. (English. Russian original) Zbl 0932.58002 Ukr. Math. J. 48, No. 6, 828-837 (1996); translation from Ukr. Mat. Zh. 48, No. 6, 739-746 (1996). MSC: 58A05 13F25 53B99 18F15 PDFBibTeX XMLCite \textit{A. M. Baranovich} and \textit{Yu. L. Daletskij}, Ukr. Mat. Zh. 48, No. 6, 739--746 (1996; Zbl 0932.58002); translation from Ukr. Mat. Zh. 48, No. 6, 739--746 (1996) Full Text: DOI
Daletskij, Yu. L.; Kushnirevich, V. A. Differential structures in Lie superalgebras. (English. Russian original) Zbl 0932.46065 Ukr. Math. J. 48, No. 4, 483-490 (1996); translation from Ukr. Mat. Zh. 48, No. 4, 435-442 (1996). MSC: 46L87 17B70 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{V. A. Kushnirevich}, Ukr. Mat. Zh. 48, No. 4, 435--442 (1996; Zbl 0932.46065); translation from Ukr. Mat. Zh. 48, No. 4, 435--442 (1996) Full Text: DOI
Daletskij, Yu. L.; Kushnirevich, V. A. Inclusion of the Nambu-Takhtajan algebra into the structure of formal differential geometry. (Ukrainian) Zbl 0892.58004 Dopov. Akad. Nauk Ukr. 1996, No. 4, 12-17 (1996). Reviewer: A.N.Kochubei (Kyïv) MSC: 46L85 46L87 17A42 17A70 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{V. A. Kushnirevich}, Dopov. Akad. Nauk Ukr. 1996, No. 4, 12--17 (1996; Zbl 0892.58004)
Daletskij, A. Yu. Representations of canonical commutation relations defined by Gaussian measure and Gaussian cocycle. (English) Zbl 0812.60009 Random Oper. Stoch. Equ. 2, No. 1, 87-93 (1994). MSC: 60B05 PDFBibTeX XMLCite \textit{A. Yu. Daletskij}, Random Oper. Stoch. Equ. 2, No. 1, 87--93 (1994; Zbl 0812.60009) Full Text: DOI
Daletskij, A. Yu. Infinite-dimensional Schrödinger equations and the representation of a group of symplectomorphisms of a Hilbert phase space. (English. Russian original) Zbl 0784.47045 Funct. Anal. Appl. 26, No. 1, 74-75 (1992); translation from Funkts. Anal. Prilozh. 26, No. 1, 91-93 (1992). Reviewer: V.Zagrebnov (Marseille) MSC: 47F05 81S10 53D50 46N50 PDFBibTeX XMLCite \textit{A. Yu. Daletskij}, Funct. Anal. Appl. 26, No. 1, 74--75 (1992; Zbl 0784.47045); translation from Funkts. Anal. Prilozh. 26, No. 1, 91--93 (1992) Full Text: DOI
Daletskij, A. Yu. Quasi-classical approximation for a class of infinite-dimensional pseudo-differential equations. (English. Russian original) Zbl 0849.35152 Sel. Math. 13, No. 2, 113-125 (1994); translation from Berezanskij, Yu. M. (ed.): Methods of functional analysis in problems of mathematical physics. Collection of scientific works, Kiev 1990, 63-76 (1990). MSC: 35S05 47G30 58J40 PDFBibTeX XMLCite \textit{A. Yu. Daletskij}, Sel. Math. 13, No. 2, 1 (1990; Zbl 0849.35152); translation from Berezanskij, Yu. M. (ed.): Methods of functional analysis in problems of mathematical physics. Collection of scientific works, Kiev 1990, 63--76 (1990)
Daletskij, A. Yu. Canonical Maslov operator on Lagrangian manifolds with Hilbert model. (English. Russian original) Zbl 0731.58007 Math. Notes 48, No. 6, 1206-1213 (1990); translation from Mat. Zametki 48, No. 6, 51-60 (1990). Reviewer: A.S.Potapov (Voronezh) MSC: 58B15 58B10 58C25 PDFBibTeX XMLCite \textit{A. Yu. Daletskij}, Math. Notes 48, No. 6, 1206--1213 (1990; Zbl 0731.58007); translation from Mat. Zametki 48, No. 6, 51--60 (1990) Full Text: DOI
Daletskij, Yu. L.; Tkeshelashvili, A. S. On probability distributions of random functions of sets. (Russian. English summary) Zbl 0711.60049 Soobshch. Akad. Nauk Gruz. SSR 138, No. 2, 253-256 (1990). Reviewer: L.Mutafchiev MSC: 60H05 60G60 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{A. S. Tkeshelashvili}, Soobshch. Akad. Nauk Gruz. SSR 138, No. 2, 253--256 (1990; Zbl 0711.60049)
Daletskij, A. Yu. The factorization problem in a symplectic groupoid, and Hamiltonian systems on spaces with nonlinear Poisson brackets. (English. Russian original) Zbl 0699.58033 Sov. Math., Dokl. 40, No. 2, 389-393 (1990); translation from Dokl. Akad. Nauk SSSR 308, No. 5, 1033-1037 (1989). Reviewer: J.Andres MSC: 37J99 70H15 58D30 81Q99 PDFBibTeX XMLCite \textit{A. Yu. Daletskij}, Sov. Math., Dokl. 40, No. 2, 389--393 (1989; Zbl 0699.58033); translation from Dokl. Akad. Nauk SSSR 308, No. 5, 1033--1037 (1989)
Daletskij, Yu. L.; Sokhadze, G. A. Absolute continuity of smooth measures. (English. Russian original) Zbl 0693.58035 Funct. Anal. Appl. 22, No. 2, 149-150 (1988); translation from Funkts. Anal. Prilozh. 22, No. 2, 77-78 (1988). Reviewer: Yu.L.Daletskij MSC: 58J65 28A15 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{G. A. Sokhadze}, Funct. Anal. Appl. 22, No. 2, 149--150 (1988; Zbl 0693.58035); translation from Funkts. Anal. Prilozh. 22, No. 2, 77--78 (1988) Full Text: DOI
Daletskij, A. Yu.; Podkolzin, G. B. A group approach to the integration of the infinite Toda chain. (English. Russian original) Zbl 0667.22008 Ukr. Math. J. 40, No. 4, 445-447 (1988); translation from Ukr. Mat. Zh. 40, No. 4, 518-521 (1988). MSC: 22E70 37J99 PDFBibTeX XMLCite \textit{A. Yu. Daletskij} and \textit{G. B. Podkolzin}, Ukr. Math. J. 40, No. 4, 445--447 (1988; Zbl 0667.22008); translation from Ukr. Mat. Zh. 40, No. 4, 518--521 (1988) Full Text: DOI
Daletskij, A. Yu.; Podkolzin, G. B. A group approach to the integration of an infinite Toda chain. (Russian) Zbl 0654.22007 Ukr. Mat. Zh. 40, No. 4, 518-521 (1988). Reviewer: E.Kryachko MSC: 22E70 37J99 PDFBibTeX XMLCite \textit{A. Yu. Daletskij} and \textit{G. B. Podkolzin}, Ukr. Mat. Zh. 40, No. 4, 518--521 (1988; Zbl 0654.22007)
Daletskiĭ, A. Yu.; Samoĭlenko, Yu. S. A noncommutative moment problem. (English. Russian original) Zbl 0636.22008 Funct. Anal. Appl. 21, No. 1-3, 150-152 (1987); translation from Funkts. Anal. Prilozh. 21, No. 2, 72-73 (1987). Reviewer: Ştefan Frunză (Iaşi) MSC: 22E45 22E65 17B65 PDFBibTeX XMLCite \textit{A. Yu. Daletskiĭ} and \textit{Yu. S. Samoĭlenko}, Funct. Anal. Appl. 21, No. 1--3, 150--152 (1987; Zbl 0636.22008); translation from Funkts. Anal. Prilozh. 21, No. 2, 72--73 (1987) Full Text: DOI
Daletskij, A. Yu. On the quantum moment problem. (English. Russian original) Zbl 0654.44006 Theory Probab. Math. Stat. 32, 9-16 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 9-17 (1985). Reviewer: R.W.Shonkwiler MSC: 44A60 42A70 22E45 81S05 PDFBibTeX XMLCite \textit{A. Yu. Daletskij}, Theory Probab. Math. Stat. 32, 9--16 (1986; Zbl 0654.44006); translation from Teor. Veroyatn. Mat. Stat. 32, 9--17 (1985)
Daletskij, A. Yu. Integration of representations of nuclear Lie algebras of smooth currents. (Russian) Zbl 0587.22008 Spectral theory of operators and infinite-dimensional analysis, Collect. sci. Works, Kiev 1984, 77-92 (1984). Reviewer: M.Monastyrsky MSC: 22E65 17B65 22E60 PDFBibTeX XML
Daletskij, A. Yu. The problem of moments of finite-dimensional Lie algebras. (Russian) Zbl 0534.22003 Spectral theory of operators in problems of mathematical physics, Collect. sci. Works, Kiev 1983, 93-97 (1983). Reviewer: Sh.A.Ayupov MSC: 22E70 22E60 81R10 PDFBibTeX XML
Daletskij, A. Yu. Representation of the translation group of a nuclear space. (Russian) Zbl 0526.46007 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 12, 9-11 (1982). MSC: 46A13 46A11 46G12 47A70 28C20 PDFBibTeX XMLCite \textit{A. Yu. Daletskij}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 12, 9--11 (1982; Zbl 0526.46007)
Daletskij, Yu. L.; Fadeeva, E. A. On the solution of some hyperbolic first order systems with an infinite number of spatial coordinates by means of the Fourier-Wiener transformation. (Russian) Zbl 0445.35074 Mat. Fiz. 25, 89-95 (1979). MSC: 35L40 35L50 35A22 35R20 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{E. A. Fadeeva}, Mat. Fiz. 25, 89--95 (1979; Zbl 0445.35074)
Berezanskij, Yu. M.; Bogolyubov, N. N.; Daletskij, Yu. L.; Lavrent’ev, M. A.; Semenov, E. M. Selim Grigor’evich Krejn (zum sechzigsten Geburtstag). (Russian) Zbl 0378.01015 Usp. Mat. Nauk 33, No. 2(200), 217-224 (1978). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. M. Berezanskij} et al., Usp. Mat. Nauk 33, No. 2(200), 217--224 (1978; Zbl 0378.01015)
Daletskij, Yu. L.; Fadeeva, E. A. Hyperbolic equations with variable operator-valued coefficients. (English) Zbl 0365.35034 Differ. Equations 12(1976), 617-625 (1977). MSC: 35L40 35R20 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{E. A. Fadeeva}, Differ. Equations 12, 617--625 (1977; Zbl 0365.35034)
Daletskiĭ, Yu. L.; Shatashvili, A. D. Über das charakteristische Funktional einer bedingten Verteilung. (Russian) Zbl 0368.62086 Teor. Sluch. Protsess. 4, 49-51 (1976). MSC: 62M20 PDFBibTeX XML
Daletskij, Yu. L.; Fadeeva, E. A. Hyperbolische Gleichungen mit variablen Operatorkoeffizienten. (Russian) Zbl 0327.35041 Differ. Uravn. 12, 881-891 (1976). MSC: 35L40 35R20 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{E. A. Fadeeva}, Differ. Uravn. 12, 881--891 (1976; Zbl 0327.35041)
Daletskiĭ, Yu. L.; Shatashvili, A. D. On the optimal prediction of random variables that are nonlinearly connected with Gaussian variables. (Über die optimale Vorhersage von nichtlinear Gauß’sch verbundenen Zufallsgrößen.) (Russian) Zbl 0327.62059 Teor. Sluch. Protsess. 3, 30-33 (1975). MSC: 62M20 60G35 60G25 PDFBibTeX XML
Daletskij, Yu. L.; Fadeeva, E. A. Hyperbolic equations with operator coefficients and ultraparabolic systems. (English) Zbl 0244.35067 Ukr. Math. J. 24, 73-75 (1972). MSC: 35L40 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{E. A. Fadeeva}, Ukr. Math. J. 24, 73--75 (1972; Zbl 0244.35067) Full Text: DOI
Daletskij, Yu. L.; Fadeeva, E. A. Hyperbolische Gleichungen mit Operatorkoeffizienten und ultraparabolische Systeme. (Russian) Zbl 0241.35053 Ukr. Mat. Zh. 24, 92-95 (1972). MSC: 35L40 35K99 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{E. A. Fadeeva}, Ukr. Mat. Zh. 24, 92--95 (1972; Zbl 0241.35053)
Daletskij, Yu. L.; Zaplitnaya, A. T. Integrale über einem Raum von Räumen, die mit nichtlinearen parabolischen Gleichungen zusammenhängen. (Russian) Zbl 0173.38202 Ukr. Mat. Zh. 17, No. 5, 110-114 (1965). PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{A. T. Zaplitnaya}, Ukr. Mat. Zh. 17, No. 5, 110--114 (1965; Zbl 0173.38202)
Daletskij, Yu. L.; Krylov, V. Yu.; Minlos, R. A.; Sudakov, V. N. Funktionale Integration und Maße in Funktionalräumen. (Russian) Zbl 0203.17004 Tr. IV Vsesoyuz. Mat. S”ezda, Leningrad 1961, 2, 282-292 (1964). Reviewer: T. Leżánski MSC: 46-XX PDFBibTeX XML