Edit Profile (opens in new tab) Albeverio, Sergio A. Co-Author Distance Author ID: albeverio.sergio-a Published as: Albeverio, Sergio; Albeverio, S.; Albeverio, Sergio A.; Albeverio, S. A.; Albeveiro, Sergio; Al’beverio, S.; Albeverio, S more...less Homepage: https://wt.iam.uni-bonn.de/albeverio/home/ External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 788 Publications since 1967, including 13 Books and 31 Additional arXiv Preprints 34 Contributions as Editor · 2 Further Contributions Biographic References: 7 Publications Co-Authors: 339 Co-Authors with 803 Joint Publications 7,890 Co-Co-Authors all top 5 Co-Authors 21 single-authored 82 Høegh-Krohn, Raphael J. 79 Röckner, Michael 63 Kondrat’yev, Yuriĭ Grygorovych 30 Fei, Shaoming 30 Khrennikov, Andreĭ Yur’evich 25 Daletskii, Alexei 25 Mazzucchi, Sonia 24 Koshmanenko, Volodymyr Dmytrovych 24 Ma, Zhi-Ming 23 Ayupov, Shavkat Abdullaevich 21 Torbin, Grygoriy Myroslavovych 20 Blanchard, Philippe 20 Wu, Jianglun 18 Streit, Ludwig 17 Holden, Helge 16 Lakaev, Saidakhmat Norzhigitovich 16 Yoshida, Minoru W. 15 Gottschalk, Hanno 14 Gesztesy, Fritz 14 Hryniv, Rostyslav O. 14 Kurasov, Pavel B. 14 Zhou, Xianyin 13 Belopol’skaya, Yana Isaevna 13 Brzeźniak, Zdzisław 13 Karwowski, Witold 13 Mykytyuk, Yaroslav V. 13 Nizhnik, Leonid 13 Pasurek, Tatiana 13 Pratsiovytyi, Mykola 12 Kozitsky, Yuri Vasil’evich 12 Motovilov, Aleksandr Konstantinovich 12 Smolyanov, Oleg Georgievich 11 De Vecchi, Francesco Carlo 11 Kudaĭbergenov, Karimbergen Kadirbergenovich 11 Shelkovich, Vladimir M. 11 Ugolini, Stefania 9 Ferrario, Benedetta 9 Kuzhel, Sergei 9 Makarov, Konstantin A. 9 Mastrogiacomo, Elisa 9 Steblovskaya, Victoria R. 9 Zhao, Xuelei 8 Cianci, Roberto 8 Di Persio, Luca 8 Hilbert, Astrid 8 Kolsrud, Torbjörn 8 Kozyrev, Sergeĭ Vladimirovich 8 Omirov, Bakhrom A. 8 Rüdiger, Barbara 8 Russo, Francesco 8 Zegarlinski, Boguslaw 7 Fassari, Silvestro 7 Feller, Mikhail Naumovich 7 Fenstad, Jens Erik 7 Iwata, Koichiro 7 Kolokoltsov, Vassili N. 7 Liang, Song 7 Rinaldi, Fabio 7 Scarlatti, Sergio 6 Bogachev, Leonid V. 6 Cattaneo, Laura 6 Haba, Zbigniew 6 Konstantinov, Alexei 6 Lindstrøm, Tom L. 6 Lytvynov, Yevgen Vil’yamovych 6 Malamud, Mark M. 6 Smii, Boubaker 6 Tirozzi, Brunello 5 Bernabei, Maria Simonetta 5 Dabrowski, Ludwik 5 Dobrokhotov, Sergei Yurievich 5 Herzberg, Frederik S. 5 Kirsch, Werner 5 Kusuoka, Shigeo 5 Muminov, Zahriddin Ishkobilovich 5 Paycha, Sylvie 5 Rozanova, Olga S. 5 Sengupta, Ambar N. 5 Testard, Daniel H. 5 Wang, Xiaohong 5 Zhang, Tusheng S. 4 Brasche, Johannes Friedemann 4 Combe, Ph. 4 Dadakhodjaev, Rashidkhon A. 4 Fukushima, Masatoshi 4 Geyler, Vladimir A. 4 Gielerak, Roman 4 Goswami, Debashish 4 Karabash, Illya M. 4 Kosyak, Alexandre V. 4 Kusuoka, Seiichiro Kusuoka 4 Lao, Lanjun 4 Merlini, Danilo 4 Minlos, Robert Adol’fovich 4 Rakhimov, Abdugafur Abdumadjidovich 4 Rozanov, Yuriĭ Anatol’evich 4 Skopina, Mariya Aleksandrovna 3 Boutet de Monvel, Anne Marie 3 Cacciapuoti, Claudio 3 Danilov, Vladimir G. ...and 266 more Co-Authors all top 5 Serials 46 Journal of Functional Analysis 29 Communications in Mathematical Physics 26 Journal of Mathematical Physics 22 Acta Applicandae Mathematicae 22 Methods of Functional Analysis and Topology 21 Reports on Mathematical Physics 15 Letters in Mathematical Physics 15 Bulletin des Sciences Mathématiques 14 Potential Analysis 13 Mathematische Nachrichten 13 Infinite Dimensional Analysis, Quantum Probability and Related Topics 12 Journal of Statistical Physics 12 Reviews in Mathematical Physics 12 Journal of Physics A: Mathematical and General 12 Stochastic Processes and their Applications 11 Journal of Mathematical Analysis and Applications 9 Integral Equations and Operator Theory 9 Comptes Rendus de l’Académie des Sciences. Série I 9 Random Operators and Stochastic Equations 9 Markov Processes and Related Fields 9 Journal of Physics A: Mathematical and Theoretical 9 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 8 Doklady Mathematics 7 The Annals of Probability 7 Probability Theory and Related Fields 7 Russian Journal of Mathematical Physics 6 Ukraïns’kyĭ Matematychnyĭ Zhurnal 6 Stochastic Analysis and Applications 6 Stochastics and Stochastics Reports 5 Physics Letters. A 5 Theoretical and Mathematical Physics 5 Positivity 5 Lecture Notes in Mathematics 4 International Journal of Modern Physics B 4 Inverse Problems 4 Mathematical Notes 4 Journal of Geometry and Physics 4 Journal of Differential Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Lecture Notes in Physics 4 Mathematics and its Applications (Dordrecht) 3 Communications in Algebra 3 Helvetica Physica Acta 3 Applied Mathematics and Optimization 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Journal of Operator Theory 3 Journal of Theoretical Probability 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Expositiones Mathematicae 3 Izvestiya: Mathematics 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Stochastics 3 London Mathematical Society Lecture Note Series 3 Complex Analysis and Operator Theory 3 Springer Proceedings in Mathematics & Statistics 3 Operator Theory: Advances and Applications 2 Theory of Probability and its Applications 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Journal of Algebra 2 Osaka Journal of Mathematics 2 Transactions of the Moscow Mathematical Society 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Extracta Mathematicae 2 Asymptotic Analysis 2 Forum Mathematicum 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Mathematical Sciences (New York) 2 Journal of Mathematical Sciences. University of Tokyo 2 The Journal of Fourier Analysis and Applications 2 Lobachevskii Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 International Journal of Theoretical Physics, Group Theory and Nonlinear Optics 2 Oberwolfach Reports 2 Proceedings of the Steklov Institute of Mathematics 2 RIMS Kôkyûroku Bessatsu 2 Eurasian Mathematical Journal 2 Arabian Journal of Mathematics 2 Nanosystems. Physics, Chemistry, Mathematics 1 Advances in Applied Probability 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Physica A 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Acta Arithmetica 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematical Economics 1 Journal of the Mathematical Society of Japan 1 Journal of Multivariate Analysis 1 Journal of Number Theory ...and 62 more Serials all top 5 Fields 386 Probability theory and stochastic processes (60-XX) 304 Quantum theory (81-XX) 183 Operator theory (47-XX) 159 Partial differential equations (35-XX) 123 Functional analysis (46-XX) 83 Statistical mechanics, structure of matter (82-XX) 74 Measure and integration (28-XX) 74 Global analysis, analysis on manifolds (58-XX) 53 Potential theory (31-XX) 43 Number theory (11-XX) 43 Dynamical systems and ergodic theory (37-XX) 37 Ordinary differential equations (34-XX) 36 General and overarching topics; collections (00-XX) 22 Topological groups, Lie groups (22-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Mechanics of particles and systems (70-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 17 Fluid mechanics (76-XX) 15 Nonassociative rings and algebras (17-XX) 15 Real functions (26-XX) 14 Mathematical logic and foundations (03-XX) 10 Differential geometry (53-XX) 10 Biology and other natural sciences (92-XX) 7 Abstract harmonic analysis (43-XX) 7 Integral equations (45-XX) 6 History and biography (01-XX) 6 Associative rings and algebras (16-XX) 6 Numerical analysis (65-XX) 5 Combinatorics (05-XX) 5 Group theory and generalizations (20-XX) 5 Special functions (33-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 General topology (54-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 4 Systems theory; control (93-XX) 3 Integral transforms, operational calculus (44-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Information and communication theory, circuits (94-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 664 Publications have been cited 8,173 times in 4,592 Documents Cited by ▼ Year ▼ Solvable models in quantum mechanics. Zbl 0679.46057 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 453 1988 Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge 333 2005 Singular perturbations of differential operators. Solvable Schrödinger type operators. Zbl 0945.47015 Albeverio, S.; Kurasov, P. 196 1999 Nonstandard methods in stochastic analysis and mathematical physics. Zbl 0605.60005 Albeverio, Sergio; Høegh-Krohn, Raphael; Fenstad, Jens Erik; Lindstrøm, Tom 176 1986 Theory of \(p\)-adic distributions. Linear and nonlinear models. Zbl 1198.46001 Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. 148 2010 Analysis and geometry on configuration spaces. Zbl 0914.58028 Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 130 1998 A random walk on \(p\)-adics – the generator and its spectrum. Zbl 0810.60065 Albeverio, Sergio; Karwowski, Witold 106 1994 Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms. Zbl 0725.60055 Albeverio, S.; Röckner, M. 99 1991 Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients. Zbl 1197.60050 Albeverio, Sergio; Brzeźniak, Zdzisław; Wu, Jiang-Lun 93 2010 Energy forms, Hamiltonians, and distorted Brownian paths. Zbl 0368.60091 Albeverio, Sergio; Høegh-Krohn, Raphael; Streit, L. 88 1977 Mathematical theory of Feynman path integrals. Zbl 0337.28009 Albeverio, Sergio A.; Høegh-Krohn, Raphael J. 87 1976 Analysis and geometry on configuration spaces: the Gibbsian case. Zbl 0931.58019 Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 82 1998 Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids. Zbl 0702.76041 Albeverio, Sergio; Cruzeiro, Ana-Bela 81 1990 Parabolic SPDEs driven by Poisson white noise. Zbl 0934.60055 Albeverio, Sergio; Wu, Jiang-Lun; Zhang, Tu-Sheng 75 1998 Classical Dirichlet forms on topological vector spaces — closability and a Cameron-Martin formula. Zbl 0737.46036 Albeverio, Sergio; Röckner, Michael 73 1990 Dirichlet forms and diffusion processes on rigged Hilbert spaces. Zbl 0342.60057 Albeverio, Sergio; Høegh-Krohn, Raphael 72 1977 \(p\)-adic multiresolution analysis and wavelet frames. Zbl 1202.42059 Albeverio, S.; Evdokimov, S.; Skopina, M. 70 2010 Mathematical theory of Feynman path integrals. An introduction. 2nd corrected and enlarged edition. Zbl 1222.46001 Albeverio, Sergio A.; Høegh-Krohn, Raphael J.; Mazzucchi, Sonia 67 2008 On nilpotent and simple Leibniz algebras. Zbl 1065.17001 Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A. 64 2005 Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems. Zbl 1110.46049 Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. 62 2006 The threshold effects for the two-particle Hamiltonians on lattices. Zbl 1116.81020 Albeverio, S.; Lakaev, S. N.; Makarov, K. A.; Muminov, Z. I. 51 2006 Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process. Zbl 0661.60094 Albeverio, Sergio; Röckner, Michael 48 1989 The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time. Zbl 0279.60095 Albeverio, Sergio; Høegh-Krohn, Raphael 46 1974 Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I. Zbl 0449.35092 Albeverio, Sergio; Høegh-Krohn, Raphael 46 1977 Symmetries of Schrödinger operators with point interactions. Zbl 0909.34074 Albeverio, S.; Dabrowski, L.; Kurasov, P. 45 1998 Frobenius theory for positive maps of von Neumann algebras. Zbl 0398.46054 Albeverio, Sergio; Høegh-Krohn, Raphael 45 1978 Existence of mild solutions for stochastic differential equations and semilinear equations with non-Gaussian Lévy noise. Zbl 1168.60014 Albeverio, S.; Mandrekar, V.; Rüdiger, B. 45 2009 Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics. Zbl 1056.81026 Albeverio, Sergio; Lakaev, Saidakhmat N.; Muminov, Zahriddin I. 45 2004 Fundamental solution of the heat and Schrödinger equations with point interaction. Zbl 0822.35002 Albeverio, S.; Brzeźniak, Z.; Dąbrowski, L. 44 1995 On the \(1/n\) expansion for some unitary invariant ensembles of random matrices. Zbl 1038.82039 Albeverio, S.; Pastur, L.; Shcherbina, M. 44 2001 Inverse spectral problems for Dirac operators with summable potentials. Zbl 1189.34025 Albeverio, S.; Hryniv, R.; Mykytyuk, Ya. 43 2005 Varieties of nilpotent complex Leibniz algebras of dimension less than five. Zbl 1088.17003 Albeverio, S.; Omirov, B. A.; Rakhimov, I. S. 41 2005 Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions. Zbl 0443.60099 Albeverio, Sergio; Høegh-Krohn, Raphael 40 1979 Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096 Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun 40 2000 Asymptotics of branching symmetric random walk on the lattice with a single source. Zbl 0917.60080 Albeverio, Sergio; Bogachev, Leonid V.; Yarovaya, Elena B. 39 1998 Dirichlet forms and Markov semigroups on \(C^*\)-algebras. Zbl 0384.46043 Albeverio, Sergio; Høegh-Krohn, Raphael 39 1977 Feynman-Kac semigroups in terms of signed smooth measures. Zbl 0737.60065 Albeverio, Sergio; Blanchard, Philippe; Ma, Zhiming 38 1991 Stratified structure of the Universe and Burgers’ equation – a probabilistic approach. Zbl 0810.60058 Albeverio, Sergio; Molchanov, Stanislav A.; Surgailis, Donatas 38 1994 Spectral theory of semibounded Sturm-Liouville operators with local interactions on a discrete set. Zbl 1314.81059 Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark 38 2010 Non-Gaussian infinite dimensional analysis. Zbl 0868.60041 Albeverio, S.; Daletsky, Yu. L.; Kondratiev, Yu. G.; Streit, L. 37 1996 Inverse spectral problems for non-local Sturm-Liouville operators. Zbl 1121.34014 Albeverio, S.; Hryniv, R. O.; Nizhnik, L. P. 37 2007 Perturbation of Dirichlet forms — lower semiboundedness, closability, and form cores. Zbl 0743.60071 Albeverio, Sergio; Ma, Zhiming 36 1991 Structure of derivations on various algebras of measurable operators for type I von Neumann algebras. Zbl 1175.46054 Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. 35 2009 Dirichlet operators via stochastic analysis. Zbl 0820.60042 Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 34 1995 Homogeneous random fields and statistical mechanics. Zbl 0381.60049 Albeverio, Sergio; Høegh-Krohn, Raphael 33 1975 Differential geometry of Poisson spaces. Zbl 0866.58011 Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael 32 1996 Topological and fractal properties of real numbers which are not normal. Zbl 1088.28003 Albeverio, Sergio; Pratsiovytyi, Mykola; Torbin, Grygoriy 32 2005 On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. Zbl 0998.60064 Albeverio, S.; Bogachev, V.; Röckner, M. 32 1999 Finite dimensional approximation approach to oscillatory integrals and stationary phase in infinite dimensions. Zbl 0779.46040 Albeverio, Sergio; Brzeźniak, Zdzisław 31 1993 Additive functionals, nowhere Radon and Kato class smooth measures associated with Dirichlet forms. Zbl 0786.60104 Albeverio, Sergio; Ma, Zhiming 30 1992 \(p\)-adic valued quantization. Zbl 1187.81137 Albeverio, Sergio; Cianci, Roberto; Khrennikov, Andrei Yu. 30 2009 The low energy expansion in nonrelativistic scattering theory. Zbl 0528.35076 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael 29 1982 The invariant measure and the flow associated to the \(\Phi^4_3\)-quantum field model. Zbl 1480.81079 Albeverio, Sergio; Kusuoka, Seiichiro 29 2020 Singular perturbations and nonstandard analysis. Zbl 0424.35014 Albeverio, Sergio; Fenstad, Jens Erik; Høegh-Krohn, Raphael 28 1979 Classification of 4-dimensional nilpotent complex Leibniz algebras. Zbl 1137.17002 Albeverio, S.; Omirov, B. A.; Rakhimov, I. S. 28 2006 A remark on the connection between stochastic mechanics and the heat equation. Zbl 0291.60028 Albeverio, Sergio; Høegh-Krohn, Raphael 27 1974 The energy representation of Sobolev-Lie groups. Zbl 0393.22013 Albeverio, Sergio; Høegh-Krohn, Raphael 27 1978 Convoluted generalized white noise, Schwinger functions and their analytic continuation to Wightman functions. Zbl 0870.60038 Albeverio, Sergio; Gottschalk, Hanno; Wu, Jiang-Lun 26 1996 Point interactions as limits of short range interactions. Zbl 0501.35023 Albeverio, Sergio; Høegh-Krohn, Raphael 26 1981 Multidimensional basis of \(p\)-adic wavelets and representation theory. Zbl 1187.42030 Albeverio, Sergio; Kozyrev, Sergei V. 26 2009 Stochastic integrals and the Lévy-Itô decomposition theorem on separable Banach spaces. Zbl 1071.60032 Albeverio, S.; Rüdiger, B. 25 2005 \(p\)-adic nonorthogonal wavelet bases. Zbl 1178.42035 Albeverio, S.; Evdokimov, S.; Skopina, M. 25 2009 Point interactions: \(\mathcal{PT}\)-Hermiticity and reality of the spectrum. Zbl 1053.81026 Albeverio, Sergio; Fei, Shao-Ming; Kurasov, Pavel 25 2002 \(p\)-adic dynamical systems. Zbl 0974.37018 Albeverio, S.; Khrennikov, A.; Tirozzi, B.; De Smedt, S. 25 1998 Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group. Zbl 0488.22038 Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel 25 1981 Ergodicity of \(L^ 2\)-semigroups and extremality of Gibbs states. Zbl 0880.60098 Albeverio, Sergio; Kondratiev, Yuri G.; Röcker, Michael 24 1997 On point interactions in one dimension. Zbl 0561.35023 Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Kirsch, W. 23 1984 Fractal probability distributions and transformations preserving the Hausdorff-Besicovitch dimension. Zbl 1115.37016 Albeverio, Sergio; Pratsiovytyi, Mykola; Torbin, Grygoriy 23 2004 Graph subspaces and the spectral shift function. Zbl 1074.47007 Albeverio, Sergio; Makarov, Konstantin A.; Motovilov, Alexander K. 23 2003 Coupling in the singular limit of thin quantum waveguides. Zbl 1137.81330 Albeverio, Sergio; Cacciapuoti, Claudio; Finco, Domenico 23 2007 Feynman path integrals for polynomially growing potentials. Zbl 1095.81041 Albeverio, S.; Mazzucchi, S. 22 2005 Measure-valued branching processes associated with random walks on \(p\)-adics. Zbl 1044.60036 Albeverio, Sergio; Zhao, Xuelei 22 2000 Phase space Feynman path integrals. Zbl 1059.81107 Albeverio, S.; Guatteri, G.; Mazzucchi, S. 22 2002 A remark on symmetry of stochastic dynamical systems and their conserved quantities. Zbl 0877.60044 Albeverio, Sergio; Fei, Shao-Ming 21 1995 A mathematical construction of the non-Abelian Chern-Simons functional integral. Zbl 0889.58019 Albeverio, Sergio; Sengupta, Ambar 21 1997 The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory. Zbl 1218.47071 Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. 21 2011 A two-space dimensional semilinear heat equation perturbed by (Gaussian) white noise. Zbl 0993.60062 Albeverio, Sergio; Haba, Zbignew; Russo, Francesco 21 2001 Factorial representations of path groups. Zbl 0522.22013 Albeverio, Sergio; Høegh-Krohn, Raphael; Testard, Daniel; Vershik, A. 21 1983 Representations of the Weyl group in spaces of square integrable functions with respect to \(p\)-adic valued Gaussian distributions. Zbl 0903.46073 Albeverio, Sergio; Khrennikov, Andrei 20 1996 Diffusion on \(p\)-adic numbers. Zbl 0826.46069 Albeverio, Sergio; Karwowski, Witold 20 1991 Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions. Zbl 1083.47020 Albeverio, S.; Brasche, J. F.; Malamud, M. M.; Neidhardt, H. 20 2005 Hunt processes and analytic potential theory on rigged Hilbert spaces. Zbl 0382.60082 Albeverio, Sergio; Høegh-Krohn, Raphael 20 1977 The statistical mechanics of quantum lattice systems. A path integral approach. Zbl 1178.82001 Albeverio, Sergio; Kondratiev, Yuri; Kozitsky, Yuri; Röckner, Michael 20 2009 Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy. Zbl 1065.60073 Albeverio, S.; Ferrario, B. 20 2004 Branching random walk in a catalytic medium. I: Basic equations. Zbl 0953.60079 Albeverio, Sergio; Bogachev, Leonid V. 20 2000 Schrödinger operators with nonlocal point interactions. Zbl 1122.47040 Albeverio, Sergio; Nizhnik, Leonid 20 2007 Noncommutative distributions: unitary representation of gauge groups and algebras. Zbl 0791.22010 Albeverio, Sergio; Høegh-Krohn, Raphael; Marion, Jean A.; Testard, Daniel H.; Torrésani, Bruno S. 19 1993 Models of local relativistic quantum fields with indefinite metric (in all dimensions). Zbl 0898.46068 Albeverio, S.; Gottschalk, H.; Wu, J.-L. 19 1997 Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras. Zbl 1128.17001 Albeverio, Sergio A.; Ayupov, Shavkat A.; Omirov, Bakhrom A. 19 2006 Approximation of general zero-range potential. Zbl 1037.81532 Albeverio, S.; Nizhnik, L. 19 2000 Feynman path integrals and the trace formula for the Schrödinger operators. Zbl 0493.35039 Albeverio, Sergio; Blanchard, Phillip; Høegh-Krohn, Raphael 19 1982 Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. Zbl 0959.58009 Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 19 1999 Local derivations on algebras of measurable operators. Zbl 1230.46056 Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.; Nurjanov, B. O. 19 2011 \(p\)-adic \((2,1)\)-rational dynamical systems. Zbl 1302.37056 Albeverio, S.; Rozikov, U. A.; Sattarov, I. A. 19 2013 Some methods of infinite dimensional analysis in hydrodynamics: an introduction. Zbl 1432.76076 Albeverio, Sergio; Ferrario, Benedetta 19 2008 \(n\)-dimensional filiform Leibniz algebras of length \((n-1)\) and their derivations. Zbl 1208.17002 Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Khudoyberdiyev, A. Kh. 19 2008 Trivial solutions for a nonlinear two-space dimensional wave equation perturbed by space-time white noise. Zbl 0887.60069 Albeverio, Sergio; Haba, Zbigniew; Russo, Francesco 18 1996 Wiener and Feynman path integrals and their applications. Zbl 0899.60058 Albeverio, Sergio 18 1997 Fractal properties of singular probability distributions with independent \(Q^{\ast}\)-digits. Zbl 1082.11049 Albeverio, Sergio; Torbin, Grygoriy 18 2005 Square powers of singularly perturbed operators. Zbl 0826.47009 Albeverio, Sergio; Karwowski, Witold; Koshmanenko, Vladimir 18 1995 Self-adjoint extension schemes and modern applications to quantum Hamiltonians. With a foreword by Sergio Albeverio. Zbl 1533.47001 Gallone, Matteo; Michelangeli, Alessandro 9 2023 Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus. Zbl 1515.81097 Albeverio, Sergio; Kawabi, Hiroshi; Mihalache, Stefan-Radu; Röckner, Michael 2 2023 Non-local Markovian symmetric forms on infinite dimensional spaces. II: Applications: non local stochastic quantization of space cut-off quantum fields and infinite particle systems. Zbl 1531.31017 Albeverio, Sergio; Kagawa, Toshinao; Kawasaki, Shuji; Yahagi, Yumi; Yoshida, Minoru W. 1 2023 Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions. Zbl 1513.81121 Albeverio, Sergio; Borasi, Luigi; De Vecchi, Francesco C.; Gubinelli, Massimiliano 8 2022 Mean-field limit for a class of stochastic ergodic control problems. Zbl 1483.49052 Albeverio, Sergio; De Vecchi, Francesco C.; Romano, Andrea; Ugolini, Stefania 4 2022 Stochastic Camassa-Holm equation with convection type noise. Zbl 1469.60202 Albeverio, Sergio; Brzeźniak, Zdzisław; Daletskii, Alexei 18 2021 The elliptic stochastic quantization of some two dimensional Euclidean QFTs. Zbl 1483.60086 Albeverio, Sergio; De Vecchi, Francesco C.; Gubinelli, Massimiliano 10 2021 Random transformations and invariance of semimartingales on Lie groups. Zbl 1470.60145 Albeverio, Sergio; De Vecchi, Francesco C.; Morando, Paola; Ugolini, Stefania 4 2021 Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity. Zbl 1476.60136 Albeverio, Sergio; Kagawa, Toshinao; Yahagi, Yumi; Yoshida, Minoru W. 4 2021 The invariant measure and the flow associated to the \(\Phi^4_3\)-quantum field model. Zbl 1480.81079 Albeverio, Sergio; Kusuoka, Seiichiro 29 2020 Elliptic stochastic quantization. Zbl 1446.60041 Albeverio, Sergio; De Vecchi, Francesco C.; Gubinelli, Massimiliano 13 2020 Weak symmetries of stochastic differential equations driven by semimartingales with jumps. Zbl 1465.60046 Albeverio, Sergio; De Vecchi, Francesco C.; Morando, Paola; Ugolini, Stefania 8 2020 On the Hausdorff dimension faithfulness and the Cantor series expansion. Zbl 1488.28008 Albeverio, S.; Ivanenko, Ganna; Lebid, Mykola; Torbin, Grygoriy 5 2020 Strong Kac’s chaos in the mean-field Bose-Einstein condensation. Zbl 1456.60197 Albeverio, Sergio; De Vecchi, Francesco C.; Romano, Andrea; Ugolini, Stefania 3 2020 Generic asymptotics of resonance counting function for Schrödinger point interactions. Zbl 1453.35057 Albeverio, Sergio; Karabash, Illya M. 2 2020 A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field. Zbl 1465.46079 Albeverio, S.; Cangiotti, N.; Mazzucchi, S. 2 2020 Asymptotics of Gaussian integrals in infinite dimensions. Zbl 1488.60169 Albeverio, Sergio; Steblovskaya, Victoria 3 2019 On the multilevel internal structure of the asymptotic distribution of resonances. Zbl 1423.35029 Albeverio, Sergio; Karabash, Illya M. 3 2019 Asymptotic expansion for some local volatility models arising in finance. Zbl 1432.91107 Albeverio, Sergio; Cordoni, Francesco; Di Persio, Luca; Pellegrini, Gregorio 3 2019 On a class of unitary representations of the braid groups \(B_3\) and \(B_4\). Zbl 1515.20169 Albeverio, Sergio; Rabanovich, Slavik 2 2019 Solvability of the operator Riccati equation in the Feshbach case. Zbl 07083420 Albeverio, S.; Motovilov, A. K. 2 2019 Borel summation of the small time expansion of some SDE’s driven by Gaussian white noise. Zbl 1433.35405 Albeverio, Sergio; Smii, Boubaker 2 2019 Quantum fields and point interactions. Zbl 1414.81267 Albeverio, Sergio; Figari, Rodolfo 7 2018 Generalized Feynman path integrals and applications to higher-order heat-type equations. Zbl 1409.58003 Albeverio, S.; Cangiotti, N.; Mazzucchi, S. 6 2018 The volatility target effect in structured investment products with capital protection. Zbl 1417.91546 Albeverio, Sergio; Steblovskaya, Victoria; Wallbaum, Kai 3 2018 Inverse scattering for impedance Schrödinger operators. I: Step-like impedance lattice. Zbl 1382.34094 Albeverio, S.; Hryniv, R.; Mykytyuk, Ya. 2 2018 A unified approach to infinite dimensional integrals of probabilistic and oscillatory type with applications to Feynman path integrals. Zbl 1400.28023 Albeverio, Sergio; Mazzucchi, Sonia 2 2018 On new fractal phenomena connected with infinite linear IFS. Zbl 1426.11077 Albeverio, Sergio; Kondratiev, Yuri; Nikiforov, Roman; Torbin, Grygoriy 8 2017 Resonance free regions and non-Hermitian spectral optimization for Schrödinger point interactions. Zbl 1379.35059 Albeverio, Sergio; Karabash, Illya M. 8 2017 Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties. Zbl 1370.60101 Albeverio, Sergio; Gawarecki, Leszek; Mandrekar, Vidyadhar; Rüdiger, Barbara; Sarkar, Barun 8 2017 Invariant measures for SDEs driven by Lévy noise: a case study for dissipative nonlinear drift in infinite dimension. Zbl 1516.35579 Albeverio, Sergio; Di Persio, Luca; Mastrogiacomo, Elisa; Smii, Boubaker 7 2017 The Enskog process. Zbl 1375.35296 Albeverio, S.; Rüdiger, B.; Sundar, P. 7 2017 Entropy chaos and Bose-Einstein condensation. Zbl 1376.82025 Albeverio, Sergio; De Vecchi, Francesco C.; Ugolini, Stefania 4 2017 Non-normal numbers: full Hausdorff dimensionality vs zero dimensionality. Zbl 1422.11164 Albeverio, Sergio; Garko, Iryna; Ibragim, Muslem; Torbin, Grygoriy 4 2017 Relative partition function of Coulomb plus delta interaction. Zbl 1372.81129 Albeverio, Sergio; Cacciapuoti, Claudio; Spreafico, Mauro 4 2017 Stochastic geometric mechanics. CIB, Lausanne, Switzerland, January–June 2015. Zbl 1386.70002 3 2017 Quantum fields. Zbl 1524.81050 Albeverio, Sergio; Röckner, Michael; Yoshida, Minoru W. 1 2017 A class of Lévy driven SDEs and their explicit invariant measures. Zbl 1350.60049 Albeverio, Sergio; Di Persio, Luca; Mastrogiacomo, Elisa; Smii, Boubaker 15 2016 A unified approach to infinite-dimensional integration. Zbl 1339.28018 Albeverio, S.; Mazzucchi, S. 12 2016 The Hamiltonian of the harmonic oscillator with an attractive \(\delta^{\prime}\)-interaction centred at the origin as approximated by the one with a triple of attractive \(\delta\)-interactions. Zbl 1342.81100 Albeverio, Sergio; Fassari, Silvestro; Rinaldi, Fabio 11 2016 Equivalence of the Brownian and energy representations. Zbl 1360.22026 Albeverio, S.; Driver, B. K.; Gordina, Maria; Vershik, A. M. 5 2016 Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive \(\delta\)-impurities symmetrically situated around the origin. II. Zbl 1366.81172 Albeverio, S.; Fassari, S.; Rinaldi, F. 4 2016 Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive \(\delta\)-impurities symmetrically situated around the origin. Zbl 1352.81032 Albeverio, S.; Fassari, S.; Rinaldi, F. 4 2016 On invariant graph subspaces of a \(J\)-self-adjoint operator in the Feshbach case. Zbl 06701370 Albeverio, S.; Motovilov, A. K. 3 2016 Along paths inspired by Ludwig Streit: stochastic equations for quantum fields and related systems. Zbl 1498.60279 Albeverio, Sergio 3 2016 Complex phase space and Weyl’s commutation relations. Zbl 1343.22009 Albeverio, Sergio; Sengupta, Ambar N. 2 2016 Quasi regular Dirichlet forms and the stochastic quantization problem. Zbl 1336.31022 Albeverio, Sergio; Ma, Zhi-Ming; Röckner, Michael 10 2015 Asymptotic expansions for SDE’s with small multiplicative noise. Zbl 1322.60082 Albeverio, Sergio; Smii, Boubaker 7 2015 \({\mathcal{PT}}\)-symmetric operators in quantum mechanics: Krein spaces methods. Zbl 1354.81017 Albeverio, Sergio; Kuzhel, Sergii 6 2015 A Doob h-transform of the Gross-Pitaevskii Hamiltonian. Zbl 1327.82062 Albeverio, Sergio; Ugolini, Stefania 5 2015 The discrete spectrum of the spinless one-dimensional Salpeter Hamiltonian perturbed by \(\delta\)-interactions. Zbl 1314.81058 Albeverio, Sergio; Fassari, Silvestro; Rinaldi, Fabio 5 2015 On singularity and fine spectral structure of random continued fractions. Zbl 1377.11087 Albeverio, Sergio; Kulyba, Yuliya; Pratsiovytyi, Mykola; Torbin, Grygoriy 3 2015 An introduction to infinite-dimensional oscillatory and probabilistic integrals. Zbl 1331.28028 Albeverio, Sergio; Mazzucchi, Sonia 3 2015 Infinite dimensional oscillatory integrals as projective systems of functionals. Zbl 1334.28024 Albeverio, Sergio; Mazzucchi, Sonia 2 2015 On fractal properties of non-normal numbers with respect to Rényi \(f\)-expansions generated by piecewise linear functions. Zbl 1294.11133 Albeverio, Sergio; Kondratiev, Yuri; Nikiforov, Roman; Torbin, Grygoriy 7 2014 A homeomorphism relating path spaces of stochastic processes with values in \(\mathbb R^{\mathbb Z}\) respectively \((S^{1})^{\mathbb Z}\). Zbl 1432.60042 Albeverio, Sergio; Röckner, Michael; Yoshida, Minoru W. 1 2014 \(p\)-adic \((2,1)\)-rational dynamical systems. Zbl 1302.37056 Albeverio, S.; Rozikov, U. A.; Sattarov, I. A. 19 2013 A remarkable spectral feature of the Schrödinger Hamiltonian of the harmonic oscillator perturbed by an attractive \(\delta^\prime\)-interaction centred at the origin: double degeneracy and level crossing. Zbl 1280.81051 Albeverio, Sergio; Fassari, Silvestro; Rinaldi, Fabio 14 2013 Sharpening the norm bound in the subspace perturbation theory. Zbl 1288.47006 Albeverio, Sergio; Motovilov, Alexander K. 13 2013 A probabilistic model associated with the pressureless gas dynamics. Zbl 1286.35154 Albeverio, Sergio; Korshunova, Anastasia; Rozanova, Olga 10 2013 Spherical Schrödinger operators with \({\delta}-\)type interactions. Zbl 1282.81067 Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen 9 2013 Schrödinger operators with nonlocal potentials. Zbl 1289.34237 Albeverio, Sergio; Nizhnik, Leonid 7 2013 Invariant measures for stochastic differential equations on networks. Zbl 1326.60082 Albeverio, Sergio; Di Persio, Luca; Mastrogiacomo, Elisa 6 2013 On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems. Zbl 1287.34016 Albeverio, Sergio; Malamud, Mark; Mogilevskii, Vadim 4 2013 Small noise asymptotic expansions for stochastic PDE’s driven by dissipative nonlinearity and Lévy noise. Zbl 1291.35452 Albeverio, Sergio; Mastrogiacomo, Elisa; Smii, Boubaker 4 2013 A representation of solutions to a scalar conservation law in several dimensions. Zbl 1310.35162 Albeverio, Sergio; Rozanova, Olga 3 2013 The Riemann zeta in terms of the dilogarithm. Zbl 1281.11085 Albeverio, Sergio; Cacciapuoti, Claudio 1 2013 Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions. Zbl 1256.47027 Albeverio, Sergio; Kawabi, Hiroshi; Röckner, Michael 13 2012 Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises. Zbl 1303.60051 Albeverio, Sergio; Debussche, Arnaud; Xu, Lihu 11 2012 Number of eigenvalues of the three-particle Schrödinger operators on lattices. Zbl 1271.81076 Albeverio, Sergio A.; Lakaev, S. N.; Khalkhujaev, A. M. 10 2012 On fractional Brownian motion and wavelets. Zbl 1279.42038 Albeverio, S.; Jorgensen, P. E. T.; Paolucci, A. M. 9 2012 Scattering theory for Schrödinger operators with Bessel-type potentials. Zbl 1253.47007 Albeverio, S.; Hryniv, R.; Mykytyuk, Ya. 8 2012 Diffusion processes in thin tubes and their limits on graphs. Zbl 1267.60090 Albeverio, Sergio; Kusuoka, Seiichiro 6 2012 Construction of global-in-time solutions to Kolmogorov-Feller pseudodifferential equations with a small parameter using characteristics. Zbl 1238.35197 Albeverio, Sergio; Danilov, Vladimir 6 2012 The a priori \(\tan \Theta\) theorem for spectral subspaces. Zbl 1276.47010 Albeverio, Sergio; Motovilov, Alexander K. 3 2012 Haar bases for \(L^2(\mathbb Q^2_2)\) generated by one wavelet function. Zbl 1263.42019 Albeverio, S.; Skopina, M. 3 2012 Phase transitions and quantum effects in anharmonic crystals. Zbl 1247.82024 Albeverio, Sergio; Kondratiev, Yuri; Kozitsky, Yuri; Röckner, Michael 3 2012 On elements of the Lax-Phillips scattering scheme for \(\mathcal{PT}\)-symmetric operators. Zbl 1272.81049 Albeverio, S.; Kuzhel, S. 3 2012 Clustering by hypergraphs and dimensionality of cluster systems. Zbl 1269.05081 Albeverio, S.; Kozyrev, S. V. 3 2012 Uniform asymptotic bounds for the heat kernel and the trace of a stochastic geodesic flow. Zbl 1259.58012 Albeverio, Sergio; Hilbert, Astrid; Kolokoltsov, Vassily 3 2012 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). Zbl 1237.00028 1 2012 The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory. Zbl 1218.47071 Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. 21 2011 Local derivations on algebras of measurable operators. Zbl 1230.46056 Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.; Nurjanov, B. O. 19 2011 On fine structure of singularly continuous probability measures and random variables with independent \(\tilde{Q}\)-symbols. Zbl 1240.28019 Albeverio, S.; Koshmanenko, V.; Pratsiovytyi, M.; Torbin, G. 12 2011 Small noise asymptotic expansions for stochastic PDE’s. I: The case of a dissipative polynomially bounded non linearity. Zbl 1234.35328 Albeverio, Sergio; Di Persio, Luca; Mastrogiacomo, Elisa 11 2011 Automorphisms of central extensions of type I von Neumann algebras. Zbl 1246.46058 Albeverio, Sergio; Ayupov, Shavkat; Kudaybergenov, Karimbergen; Djumamuratov, Rauaj 8 2011 Operator Stieltjes integrals with respect to a spectral measure and solutions of some operator equations. Zbl 1250.47021 Albeverio, S.; Motovilov, A. K. 8 2011 Global in time solutions to Kolmogorov-Feller pseudodifferential equations with small parameter. Zbl 1251.35204 Albeverio, S.; Danilov, V. G. 6 2011 Inverse scattering for discontinuous impedance Schrödinger operators: a model example. Zbl 1226.81285 Albeverio, S.; Hryniv, R.; Mykytyuk, Y. 5 2011 The trace formula for the heat semigroup with polynomial potential. Zbl 1248.35042 Albeverio, Sergio; Mazzucchi, Sonia 5 2011 Hyperfinite Dirichlet forms and stochastic processes. Zbl 1243.60001 Albeverio, Sergio; Fan, Ruzong; Herzberg, Frederik 3 2011 The probabilistic representation of the exponent of a class of pseudo-differential operators. Zbl 1296.28016 Albeverio, S.; Smorodina, N.; Faddeev, M. 3 2011 Theory of \(p\)-adic distributions. Linear and nonlinear models. Zbl 1198.46001 Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. 148 2010 Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients. Zbl 1197.60050 Albeverio, Sergio; Brzeźniak, Zdzisław; Wu, Jiang-Lun 93 2010 \(p\)-adic multiresolution analysis and wavelet frames. Zbl 1202.42059 Albeverio, S.; Evdokimov, S.; Skopina, M. 70 2010 Spectral theory of semibounded Sturm-Liouville operators with local interactions on a discrete set. Zbl 1314.81059 Albeverio, Sergio; Kostenko, Aleksey; Malamud, Mark 38 2010 Bounds on the spectrum and reducing subspaces of a \(J\)-self-adjoint operator. Zbl 1236.47032 Albeverio, Sergio; Motovilov, Alexander K.; Tretter, Christiane 11 2010 Suppression of unbounded gradients in an SDE associated with the Burgers equation. Zbl 1180.35589 Albeverio, Sergio; Rozanova, Olga 8 2010 Multidimensional \(p\)-adic wavelets for the deformed metric. Zbl 1257.42045 Albeverio, Sergio; Kozyrev, Sergei V. 7 2010 Boundary problems for the wave equation with the Lévy Laplacian in Shilov’s class. Zbl 1224.35417 Albeverio, S.; Belopolskaya, Ya. I.; Feller, M. N. 6 2010 ...and 564 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,956 Authors 299 Albeverio, Sergio A. 95 Röckner, Michael 74 Kondrat’yev, Yuriĭ Grygorovych 64 Khrennikov, Andreĭ Yur’evich 56 Exner, Pavel 41 Zúñiga-Galindo, Wilson A. 40 Malamud, Mark M. 38 Høegh-Krohn, Raphael J. 36 Omirov, Bakhrom A. 34 Mukhamedov, Farruh Maksutovich 33 Ayupov, Shavkat Abdullaevich 33 Koshmanenko, Volodymyr Dmytrovych 32 Jørgensen, Palle E. 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