Albeverio, Sergio; De Vecchi, Francesco Carlo; Ugolini, Stefania Some connections between stochastic mechanics, optimal control, and nonlinear Schrödinger equations. (English) Zbl 07773779 Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 505-534 (2023). MSC: 35Q55 35Q40 35Q79 82C10 81V73 93E20 35A15 35-03 01A60 01A61 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Lect. Notes Math. 2313, 505--534 (2023; Zbl 07773779) Full Text: DOI
Albeverio, Sergio; Fassari, Silvestro; Rinaldi, Fabio A remark on the heat equation with a point perturbation, the Feynman-Kac formula with local time and derivative pricing. (English) Zbl 1321.35076 Rep. Math. Phys. 75, No. 2, 257-265 (2015). Reviewer: René L. Schilling (Dresden) MSC: 35K08 35K05 35Q79 35R05 47D06 47D07 47D08 47N30 80A20 91G20 91G80 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rep. Math. Phys. 75, No. 2, 257--265 (2015; Zbl 1321.35076) Full Text: DOI
Albeverio, Sergio (ed.); Blanchard, Philippe (ed.) Direction of time. Proceedings of the conference, Bielefeld, Germany, January 14–19, 2002. (English) Zbl 1296.83005 Cham: Springer (ISBN 978-3-319-02797-5/hbk; 978-3-319-02798-2/ebook). xxxii, 294 p. (2014). MSC: 83-06 81-06 83Axx 83Cxx 83Dxx 83F05 37N05 35Q75 81S22 81S40 00A30 00B25 PDFBibTeX XMLCite \textit{S. Albeverio} (ed.) and \textit{P. Blanchard} (ed.), Direction of time. Proceedings of the conference, Bielefeld, Germany, January 14--19, 2002. Cham: Springer (2014; Zbl 1296.83005) Full Text: DOI
Albeverio, Sergio; Cacciapuoti, Claudio The Riemann zeta in terms of the dilogarithm. (English) Zbl 1281.11085 J. Number Theory 133, No. 1, 242-277 (2013). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M26 11M06 33B30 42A38 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{C. Cacciapuoti}, J. Number Theory 133, No. 1, 242--277 (2013; Zbl 1281.11085) Full Text: DOI arXiv
Albeverio, Sergio (ed.); Föllmer, Hans (ed.); Gross, Leonard (ed.); Nelson, Edwin (ed.) Mathematical physics at Saint-Flour. Selected lectures of the Saint-Flour Probability Summer School – École d’Été de Probabilités de Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 929 (1982), 1362 (1988) and 1816 (2003). (English) Zbl 1237.00028 Probability at Saint-Flour. Berlin: Springer (ISBN 978-3-642-25955-5/pbk). vii, 348 p. (2012). MSC: 00B60 00A79 60-06 80-06 82-06 PDFBibTeX XMLCite \textit{S. Albeverio} (ed.) et al., Mathematical physics at Saint-Flour. Selected lectures of the Saint-Flour Probability Summer School -- École d'Été de Probabilités de Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 929 (1982), 1362 (1988) and 1816 (2003). Berlin: Springer (2012; Zbl 1237.00028)
Albeverio, S.; Kondratiev, Yu.; Pasurek, T.; Röckner, M. Existence and a priori estimates for Euclidean Gibbs states. (English. Russian original) Zbl 1127.82005 Trans. Mosc. Math. Soc. 2006, 1-85 (2006); translation from Tr. Mosk. Mat. O.-va 67, 3-103 (2006). Reviewer: Iván Abonyi (Budapest) MSC: 82B05 60K35 60K40 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Trans. Mosc. Math. Soc. 2006, 1--85 (2006; Zbl 1127.82005); translation from Tr. Mosk. Mat. O.-va 67, 3--103 (2006) Full Text: DOI
Albeverio, Sergio; Bernabei, M. Simonetta; Röckner, Michael; Yoshida, Minoru W. Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices. (English) Zbl 1085.60056 C. R., Math., Acad. Sci. Paris 341, No. 11, 675-678 (2005). Reviewer: Utkir Rozikov (Tashkent) MSC: 60J60 60H20 82B05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., C. R., Math., Acad. Sci. Paris 341, No. 11, 675--678 (2005; Zbl 1085.60056) Full Text: DOI
Albeverio, Sergio; Kondratiev, Yuri; Röckner, Michael Symmetrizing measures for infinite dimensional diffusions: An analytic approach. (English) Zbl 1033.60083 Hildebrandt, Stefan (ed.) et al., Geometric analysis and nonlinear partial differential equations. Berlin: Springer (ISBN 3-540-44051-8/hbk). 475-486 (2003). Reviewer: Franco Fagnola (Genova) MSC: 60J60 82B10 82C05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., in: Geometric analysis and nonlinear partial differential equations. Berlin: Springer. 475--486 (2003; Zbl 1033.60083)
Albeverio, Sergio; Yoshida, Minoru W. \(H\)-\(C^1\) maps and elliptic SPDEs with polynomial and exponential perturbations of Nelson’s Euclidean free field. (English) Zbl 1015.60052 J. Funct. Anal. 196, No. 2, 265-322 (2002). Reviewer: Tomasz Bojdecki (Warszawa) MSC: 60H15 60H40 81T99 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{M. W. Yoshida}, J. Funct. Anal. 196, No. 2, 265--322 (2002; Zbl 1015.60052) Full Text: DOI
Albeverio, Sergio; Gottschalk, Hanno Scattering theory for quantum fields with indefinite metric. (English) Zbl 0974.81060 Commun. Math. Phys. 216, No. 3, 491-513 (2001). Reviewer: Roger G.Newton (Bloomington) MSC: 81U05 47N50 81T99 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{H. Gottschalk}, Commun. Math. Phys. 216, No. 3, 491--513 (2001; Zbl 0974.81060) Full Text: DOI arXiv
Albeverio, Sergio; Röckle, Haio; Steblovskaya, Victoria Asymptotic expansions for Ornstein-Uhlenbeck semigroups perturbed by potentials over Banach spaces. (English) Zbl 0973.60064 Stochastics Stochastics Rep. 69, No. 3-4, 195-238 (2000). MSC: 60H07 41A60 28C20 35C20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Stochastics Stochastics Rep. 69, No. 3--4, 195--238 (2000; Zbl 0973.60064) Full Text: DOI
Albeverio, Sergio; Kondratiev, Yuri; Kozitsky, Yuri Classical limits of Euclidean Gibbs states for quantum lattice models. (English) Zbl 0934.60097 Lett. Math. Phys. 48, No. 3, 221-233 (1999). MSC: 60K40 82B10 82B26 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Lett. Math. Phys. 48, No. 3, 221--233 (1999; Zbl 0934.60097) Full Text: DOI arXiv
Albeverio, S.; Kurasov, P. Finite rank perturbations and distribution theory. (English) Zbl 0913.47012 Proc. Am. Math. Soc. 127, No. 4, 1151-1161 (1999). MSC: 47A55 46F10 81Q15 46B25 34L40 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{P. Kurasov}, Proc. Am. Math. Soc. 127, No. 4, 1151--1161 (1999; Zbl 0913.47012) Full Text: DOI
Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states. (English) Zbl 0892.60008 J. Funct. Anal. 149, No. 2, 415-469 (1997). MSC: 60B05 60K35 28D05 37A99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 149, No. 2, 415--469 (1997; Zbl 0892.60008) Full Text: DOI
Albeverio, Sergio; Khrennikov, Andrew \(p\)-adic Hilbert space representation of quantum systems with an infinite number of degrees of freedom. (English) Zbl 1229.81283 Int. J. Mod. Phys. B 10, No. 13-14, 1665-1673 (1996). MSC: 81T99 11S99 11Z05 81Q99 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{A. Khrennikov}, Int. J. Mod. Phys. B 10, No. 13--14, 1665--1673 (1996; Zbl 1229.81283) Full Text: DOI
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. Dirichlet operators and Gibbs measures. (English) Zbl 0943.31500 Emch, G. G. (ed.) et al., On Klauder’s path: a field trip. Essays in honor of John R. Klauder. Singapore: World Scientific. 1-10 (1994). MSC: 31C25 47N30 60H10 82B05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., in: On Klauder's path: a field trip. Essays in honor of John R. Klauder. Singapore: World Scientific. 1--10 (1994; Zbl 0943.31500)
Albeverio, Sergio; Brzeźniak, Zdzisław Finite dimensional approximation approach to oscillatory integrals and stationary phase in infinite dimensions. (English) Zbl 0779.46040 J. Funct. Anal. 113, No. 1, 177-244 (1993). Reviewer: P.Jimenez Guerra (Madrid) MSC: 46G12 81S40 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{Z. Brzeźniak}, J. Funct. Anal. 113, No. 1, 177--244 (1993; Zbl 0779.46040) Full Text: DOI
Albeverio, Sergio; Zegarliński, Boguslaw Global Markov property in quantum field theory and statistical mechanics: A review on results and problems. (English) Zbl 0784.60100 Albeverio, Sergio (ed.) et al., Ideas and methods in quantum and statistical physics. In memory of Raphael Hœgh-Krohn (1938-1988). Volume 2. Cambridge: Cambridge University Press. 331-369 (1992). MSC: 60K40 60J99 60G60 81T10 82B05 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{B. Zegarliński}, in: Ideas and methods in quantum and statistical physics. In memory of Raphael Høegh-Krohn (1938-1988). Volume 2. Cambridge: Cambridge University Press. 331--369 (1992; Zbl 0784.60100)
Albeverio, Sergio; Høegh-Krohn, Raphael; Surgailis, Donatas Some Euclidean integer-valued random fields with Markov properties. (English) Zbl 0782.60074 Ideas and methods in mathematical analysis, stochastics and applications. In memory of R. Høegh-Krohn, Vol. 1, 93-114 (1992). MSC: 60K35 PDFBibTeX XMLCite \textit{S. Albeverio} et al., in: Ideas and methods in mathematical analysis, stochastics, and applications. In memory of Raphael Høegh-Krohn (1938-1988). Volume 1. Cambridge: Cambridge University Press. 93--114 (1992; Zbl 0782.60074)
Albeverio, S. (ed.); Blanchard, Ph. (ed.); Testard, D. (ed.) Stochastics, algebra and analysis in classical and quantum dynamics. Proceedings of the IVth French-German encounter on mathematics and physics, CIRM, Marseille, France, February 28 to March 4, 1988. (English) Zbl 0686.00019 Mathematics and Its Applications, 59. Dordrecht etc.: Kluwer Academic Publishers. xv, 247 p. Dfl. 160.00; $ 88.00; £59.00 (1990). MSC: 00B25 80-06 81-06 60-06 58-06 PDFBibTeX XML
Albeverio, Sergio; Kusuoka, Shigeo; Röckner, Michael On partial integration in infinite-dimensional space and applications to Dirichlet forms. (English) Zbl 0667.31010 J. Lond. Math. Soc., II. Ser. 42, No. 1, 122-136 (1990). Reviewer: M.Röckner MSC: 31C25 60G60 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Lond. Math. Soc., II. Ser. 42, No. 1, 122--136 (1990; Zbl 0667.31010) Full Text: DOI
Albeverio, Sergio; Paycha, Sylvie; Scarlatti, Sergio A short overview of mathematical approaches to functional integration. (English) Zbl 0706.58080 Functional integration, geometry and strings, Proc. XXV Winter Sch. Theor. Phys., Karpacz/Pol. 1989, Prog. Phys. 13, 230-276 (1989). MSC: 58Z05 81Txx 58D30 81Q30 58J52 81T30 PDFBibTeX XML
Albeverio, Sergio; Høegh-Krohn, Raphael; Zegarlinski, Boguslav Uniqueness of Gibbs states for general \(P(\phi)_ 2\)-weak coupling models by cluster expansion. (English) Zbl 0698.60093 Commun. Math. Phys. 121, No. 4, 683-697 (1989). Reviewer: S.Pogosian MSC: 60K35 82B05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Commun. Math. Phys. 121, No. 4, 683--697 (1989; Zbl 0698.60093) Full Text: DOI
Albeverio, S.; Röckner, M. Dirichlet forms, quantum fields and stochastic quantization. (English) Zbl 0691.60044 Stochastic analysis, path integration and dynamics, Proc. Summer Stochastics Symp., Warwick/UK 1987, Pitman Res. Notes Math. Ser. 200, 1-21 (1989). Reviewer: M.Röckner MSC: 60G60 31C25 81T08 PDFBibTeX XML
Albeverio, S.; Yasue, K.; Zambrini, J. C. Euclidean quantum mechanics: Analytical approach. (English) Zbl 0687.60091 Ann. Inst. Henri Poincaré, Phys. Théor. 50, No. 3, 259-308 (1989). Reviewer: W.Karwowski MSC: 60K35 81P20 60J25 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 50, No. 3, 259--308 (1989; Zbl 0687.60091) Full Text: Numdam EuDML
Albeverio, Sergio; Ma, Zhiming Nowhere Radon smooth measures, perturbations of Dirichlet forms and singular quadratic forms. (English) Zbl 0681.60075 Stochastic differential systems, Proc. 4th Conf., Bad Honnef/FRG 1988, Lect. Notes Control Inf. Sci. 126, 32-45 (1989). MSC: 60J45 31A15 28A99 31C25 46E10 PDFBibTeX XML
Albeverio, S.; Hilbert, A. Some results on Newton equation with an additional stochastic force. (English) Zbl 0681.60058 Stochastic differential systems, Proc. 4th Conf., Bad Honnef/FRG 1988, Lect. Notes Control Inf. Sci. 126, 1-13 (1989). MSC: 60H99 70H99 PDFBibTeX XML
Albeverio, Sergio; Høegh-Krohn, Raphael; Merlini, D. Euler flows, associated generalized random fields and Coulomb systems. (English) Zbl 0607.76017 Infinite dimensional analysis and stochastic processes, Semin. Meet., Bielefeld 1983, Res. Notes Math. 124, 216-244 (1985). MSC: 76B15 76M35 60G60 76X05 PDFBibTeX XML
Albeverio, Sergio; Høegh-Krohn, Raphael; Olsen, G. The global Markov property for lattice systems. (English) Zbl 0496.60047 J. Multivariate Anal. 11, 599-607 (1981). MSC: 60G60 60K35 60J05 82B10 82B20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Multivariate Anal. 11, 599--607 (1981; Zbl 0496.60047) Full Text: DOI
Kramer, P. (ed.); Rieckers, A. (ed.) [Rittenberg, V.; Ferrara, S.; Kostant, Bertram; Kerber, A.; Primas, H.; Frei, H.; Günthard, H.; Sternberg, S.; Rowe, D. J.; Rosensteel, G.; Grossmann, A.; Kramer, P.; Birman, J. L.; Emch, G. G.; Michel, L.; Dürr, H. P.; van Leeuwen, J. M. J.; O’Raifeartaigh, L.; Albeverio, S.; Høegh-Krohn, Raphael; Backhouse, N.; Hoogland, H.; Patera, J.; Winternitz, P.; Zassenhaus, Hans; van den Broec, P. M.; Jaric, M. V.; Hughes, J. W. B.; King, R. C.; Qubanchi, A. H. A.] Group theoretical methods in physics. Sixth international colloquium, Tübingen 1977. (English) Zbl 0385.20001 Lecture Notes in Physics. 79. Berlin-Heidelberg-New York: Springer- Verlag. XVIII, 546 p. DM 47.00; $ 23.50 (1978). MSC: 20-06 81-02 81-06 81Txx 81T60 81V35 81S99 81P99 81V55 81R10 81Q10 17B70 17A70 17B10 53C15 53D50 43A65 20C35 22E50 81V70 82B26 82D25 46L60 35Q99 20H15 20G05 81V10 PDFBibTeX XML