Edit Profile (opens in new tab) Mazzucchi, Sonia Co-Author Distance Author ID: mazzucchi.sonia Published as: Mazzucchi, Sonia; Mazzucchi, S. External Links: ORCID Documents Indexed: 48 Publications since 2001, including 3 Books and 5 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 26 Co-Authors with 41 Joint Publications 802 Co-Co-Authors all top 5 Co-Authors 9 single-authored 25 Albeverio, Sergio A. 5 Moretti, Valter 4 Greco, Gabriele H. 3 Bonaccorsi, Stefano 3 Cangiotti, Nicolò 3 Guatteri, Giuseppina 2 Drago, Nicolò 2 Nicola, Fabio 2 Pagani, Enrico M. 2 Trapasso, Salvatore Ivan 1 Azzini, Stefano 1 Ballico, Edoardo 1 Bernardi, Alessandra 1 Calcaterra, Craig 1 Carusotta, Iacopo 1 Cattaneo, Laura 1 Di Persio, Luca 1 D’Ovidio, Mirko 1 Hilbert, Astrid 1 Høegh-Krohn, Raphael J. 1 Leone, Nicolò 1 Mastrogiacomo, Elisa 1 Pavesi, Lorenzo 1 Rüdiger-Mastandrea, Barbara 1 Smolyanov, Oleg Georgievich 1 Ugolini, Stefania all top 5 Serials 4 Journal of Mathematical Physics 3 Journal of Functional Analysis 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Stochastic Processes and their Applications 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Probability Theory and Related Fields 1 Expositiones Mathematicae 1 Potential Analysis 1 Journal of Convex Analysis 1 Bulletin des Sciences Mathématiques 1 Journal of Evolution Equations 1 Lecture Notes in Mathematics 1 Lecture Notes of the Unione Matematica Italiana 1 Journal of Geometric Mechanics 1 Springer Proceedings in Mathematics & Statistics 1 International Journal of Partial Differential Equations 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 28 Quantum theory (81-XX) 23 Measure and integration (28-XX) 22 Partial differential equations (35-XX) 14 Probability theory and stochastic processes (60-XX) 12 Functional analysis (46-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 Operator theory (47-XX) 5 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 296 times in 135 Documents Cited by ▼ Year ▼ 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 66 2008 Mathematical Feynman path integrals and their applications. Zbl 1173.81002 Mazzucchi, Sonia 29 2009 Feynman path integrals for polynomially growing potentials. Zbl 1095.81041 Albeverio, S.; Mazzucchi, S. 22 2005 Phase space Feynman path integrals. Zbl 1059.81107 Albeverio, S.; Guatteri, G.; Mazzucchi, S. 21 2002 The time-dependent quartic oscillator — a Feynman path integral approach. Zbl 1130.81032 Albeverio, S.; Mazzucchi, S. 13 2006 Generalized Fresnel integrals. Zbl 1096.28010 Albeverio, S.; Mazzucchi, S. 12 2005 Functional-integral solution for the Schrödinger equation with polynomial potential: a white noise approach. Zbl 1232.35140 Mazzucchi, Sonia 11 2011 A unified approach to infinite-dimensional integration. Zbl 1339.28018 Albeverio, S.; Mazzucchi, S. 11 2016 High order heat-type equations and random walks on the complex plane. Zbl 1323.35225 Bonaccorsi, Stefano; Mazzucchi, Sonia 10 2015 A representation of the Belavkin equation via phase space Feynman path integrals. Zbl 1077.81063 Albeverio, S.; Guatteri, G.; Mazzucchi, S. 8 2004 Some new developments in the theory of path integrals, with applications to quantum theory. Zbl 1157.81324 Albeverio, S.; Mazzucchi, S. 6 2004 Generalized infinite-dimensional Fresnel integrals. Zbl 1038.58007 Albeverio, Sergio; Mazzucchi, Sonia 6 2004 Infinite dimensional oscillatory integrals with polynomial phase and applications to higher-order heat-type equations. Zbl 1397.35065 Mazzucchi, S. 6 2018 Generalized Feynman path integrals and applications to higher-order heat-type equations. Zbl 1409.58003 Albeverio, S.; Cangiotti, N.; Mazzucchi, S. 6 2018 A survey on mathematical Feynman path integrals: construction, asymptotics, applications. Zbl 1172.28303 Albeverio, Sergio; Mazzucchi, Sonia 5 2009 The trace formula for the heat semigroup with polynomial potential. Zbl 1248.35042 Albeverio, Sergio; Mazzucchi, Sonia 5 2011 Feynman path integrals for the inverse quartic oscillator. Zbl 1152.81555 Mazzucchi, S. 5 2008 Probabilistic representations for the solution of higher order differential equations. Zbl 1364.60084 Mazzucchi, S. 5 2013 Quantum physics and geometry. Zbl 1411.81023 5 2019 Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup. Zbl 1208.28009 Albeverio, Sergio; Mazzucchi, Sonia 4 2009 An asymptotic functional-integral solution for the Schrödinger equation with polynomial potential. Zbl 1172.35068 Albeverio, S.; Mazzucchi, S. 4 2009 A representation of the Belavkin equation via Feynman path integrals. Zbl 1028.81035 Albeverio, S.; Guatteri, G.; Mazzucchi, S. 3 2003 Probabilistic representation formula for the solution of fractional high-order heat-type equations. Zbl 1419.35201 Bonaccorsi, Stefano; D’Ovidio, Mirko; Mazzucchi, Sonia 3 2019 An introduction to infinite-dimensional oscillatory and probabilistic integrals. Zbl 1331.28028 Albeverio, Sergio; Mazzucchi, Sonia 3 2015 On the observables describing a quantum reference frame. Zbl 1015.81009 Mazzucchi, S. 2 2001 Peano on derivative of measures: strict derivative of distributive set functions. Zbl 1198.01024 Greco, Gabriele H.; Mazzucchi, Sonia; Pagani, Enrico M. 2 2010 Feynman path integrals for time-dependent potentials. Zbl 1088.81070 Albeverio, Sergio; Mazzucchi, Sonia 2 2006 Theory and applications of infinite dimensional oscillatory integrals. Zbl 1157.28305 Albeverio, Sergio; Mazzucchi, Sonia 2 2007 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 A rigorous approach to the Feynman-Vernon influence functional and its applications. I. Zbl 1152.81309 Albeverio, Sergio; Cattaneo, Laura; Mazzucchi, Sonia; Di Persio, Luca 2 2007 Some new developments in Feynman path integrals and applications. Zbl 1221.58010 Mazzucchi, S. 2 2005 An Itô calculus for a class of limit processes arising from random walks on the complex plane. Zbl 1516.35180 Bonaccorsi, Stefano; Calcaterra, Craig; Mazzucchi, Sonia 2 2017 Infinite dimensional oscillatory integrals as projective systems of functionals. Zbl 1334.28024 Albeverio, Sergio; Mazzucchi, Sonia 2 2015 The originality of Peano’s 1886 existence theorem on scalar differential equations. Zbl 1351.01012 Greco, Gabriele H.; Mazzucchi, Sonia 2 2016 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 Feynman path integrals for the time dependent quartic oscillator. Zbl 1078.81049 Albeverio, Sergio; Mazzucchi, Sonia 1 2005 Infinite dimensional integrals and their asymptotics: some recent developments and applications. Zbl 1282.81123 Albeverio, S.; Mazzucchi, S. 1 2010 Peano on definition of surface area. Zbl 1347.01006 Greco, Gabriele H.; Mazzucchi, Sonia; Pagani, Enrico M. 1 2016 Mathematical Feynman path integrals and their applications. 2nd edition. Zbl 1477.81003 Mazzucchi, Sonia 1 2022 Peano’s 1886 existence theorem on first-order scalar differential equations: a review. Zbl 1354.01011 Greco, Gabriele H.; Mazzucchi, Sonia 1 2016 Mathematical Feynman path integrals and their applications. 2nd edition. Zbl 1477.81003 Mazzucchi, Sonia 1 2022 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 Quantum physics and geometry. Zbl 1411.81023 5 2019 Probabilistic representation formula for the solution of fractional high-order heat-type equations. Zbl 1419.35201 Bonaccorsi, Stefano; D’Ovidio, Mirko; Mazzucchi, Sonia 3 2019 Infinite dimensional oscillatory integrals with polynomial phase and applications to higher-order heat-type equations. Zbl 1397.35065 Mazzucchi, S. 6 2018 Generalized Feynman path integrals and applications to higher-order heat-type equations. Zbl 1409.58003 Albeverio, S.; Cangiotti, N.; Mazzucchi, S. 6 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 An Itô calculus for a class of limit processes arising from random walks on the complex plane. Zbl 1516.35180 Bonaccorsi, Stefano; Calcaterra, Craig; Mazzucchi, Sonia 2 2017 A unified approach to infinite-dimensional integration. Zbl 1339.28018 Albeverio, S.; Mazzucchi, S. 11 2016 The originality of Peano’s 1886 existence theorem on scalar differential equations. Zbl 1351.01012 Greco, Gabriele H.; Mazzucchi, Sonia 2 2016 Peano on definition of surface area. Zbl 1347.01006 Greco, Gabriele H.; Mazzucchi, Sonia; Pagani, Enrico M. 1 2016 Peano’s 1886 existence theorem on first-order scalar differential equations: a review. Zbl 1354.01011 Greco, Gabriele H.; Mazzucchi, Sonia 1 2016 High order heat-type equations and random walks on the complex plane. Zbl 1323.35225 Bonaccorsi, Stefano; Mazzucchi, Sonia 10 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 Probabilistic representations for the solution of higher order differential equations. Zbl 1364.60084 Mazzucchi, S. 5 2013 Functional-integral solution for the Schrödinger equation with polynomial potential: a white noise approach. Zbl 1232.35140 Mazzucchi, Sonia 11 2011 The trace formula for the heat semigroup with polynomial potential. Zbl 1248.35042 Albeverio, Sergio; Mazzucchi, Sonia 5 2011 Peano on derivative of measures: strict derivative of distributive set functions. Zbl 1198.01024 Greco, Gabriele H.; Mazzucchi, Sonia; Pagani, Enrico M. 2 2010 Infinite dimensional integrals and their asymptotics: some recent developments and applications. Zbl 1282.81123 Albeverio, S.; Mazzucchi, S. 1 2010 Mathematical Feynman path integrals and their applications. Zbl 1173.81002 Mazzucchi, Sonia 29 2009 A survey on mathematical Feynman path integrals: construction, asymptotics, applications. Zbl 1172.28303 Albeverio, Sergio; Mazzucchi, Sonia 5 2009 Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup. Zbl 1208.28009 Albeverio, Sergio; Mazzucchi, Sonia 4 2009 An asymptotic functional-integral solution for the Schrödinger equation with polynomial potential. Zbl 1172.35068 Albeverio, S.; Mazzucchi, S. 4 2009 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 66 2008 Feynman path integrals for the inverse quartic oscillator. Zbl 1152.81555 Mazzucchi, S. 5 2008 Theory and applications of infinite dimensional oscillatory integrals. Zbl 1157.28305 Albeverio, Sergio; Mazzucchi, Sonia 2 2007 A rigorous approach to the Feynman-Vernon influence functional and its applications. I. Zbl 1152.81309 Albeverio, Sergio; Cattaneo, Laura; Mazzucchi, Sonia; Di Persio, Luca 2 2007 The time-dependent quartic oscillator — a Feynman path integral approach. Zbl 1130.81032 Albeverio, S.; Mazzucchi, S. 13 2006 Feynman path integrals for time-dependent potentials. Zbl 1088.81070 Albeverio, Sergio; Mazzucchi, Sonia 2 2006 Feynman path integrals for polynomially growing potentials. Zbl 1095.81041 Albeverio, S.; Mazzucchi, S. 22 2005 Generalized Fresnel integrals. Zbl 1096.28010 Albeverio, S.; Mazzucchi, S. 12 2005 Some new developments in Feynman path integrals and applications. Zbl 1221.58010 Mazzucchi, S. 2 2005 Feynman path integrals for the time dependent quartic oscillator. Zbl 1078.81049 Albeverio, Sergio; Mazzucchi, Sonia 1 2005 A representation of the Belavkin equation via phase space Feynman path integrals. Zbl 1077.81063 Albeverio, S.; Guatteri, G.; Mazzucchi, S. 8 2004 Some new developments in the theory of path integrals, with applications to quantum theory. Zbl 1157.81324 Albeverio, S.; Mazzucchi, S. 6 2004 Generalized infinite-dimensional Fresnel integrals. Zbl 1038.58007 Albeverio, Sergio; Mazzucchi, Sonia 6 2004 A representation of the Belavkin equation via Feynman path integrals. Zbl 1028.81035 Albeverio, S.; Guatteri, G.; Mazzucchi, S. 3 2003 Phase space Feynman path integrals. Zbl 1059.81107 Albeverio, S.; Guatteri, G.; Mazzucchi, S. 21 2002 On the observables describing a quantum reference frame. Zbl 1015.81009 Mazzucchi, S. 2 2001 all cited Publications top 5 cited Publications all top 5 Cited by 154 Authors 23 Albeverio, Sergio A. 22 Mazzucchi, Sonia 7 Kumanogo, Naoto 6 Grothaus, Martin 5 Bock, Wolfgang 5 Nicola, Fabio 4 Ichinose, Wataru 4 Smolyanov, Oleg Georgievich 3 Bonaccorsi, Stefano 3 Cho, Dong Hyun 3 Di Persio, Luca 3 Faddeev, Mikhail Mikhaĭlovich 3 Ibragimov, Il’dar Abdullovich 3 Kuipers, Folkert 3 Mastrogiacomo, Elisa 3 Smii, Boubaker 3 Smorodina, Natal’ya Vasil’evna 3 Trapasso, Salvatore Ivan 2 Ballico, Edoardo 2 Bernardi, Alessandra 2 Kinderknecht, Yana A. 2 Cangiotti, Nicolò 2 Chang, Seung Jun 2 Chung, Hyun Soo 2 Daei, Omid 2 D’Ovidio, Mirko 2 Greco, Gabriele H. 2 Jørgensen, Palle E. T. 2 László, András 2 Léandre, Rémi 2 Malomed, Boris A. 2 Navi, Keivan 2 Platonova, Mariya V. 2 Riemann, Felix 2 Zambrini, Jean-Claude 1 Alpay, Daniel Aron 1 Antonelli, Paolo 1 Aoki, Takayoshi 1 Ávila-Aoki, M. 1 Becker-Kern, Peter 1 Bernido, Christopher C. 1 Biryukov, Aleksandr Aleksandrovich 1 Botero, Alonso 1 Böttcher, Björn 1 Buchholz, Detlev 1 Busse, K. 1 Calcaterra, Craig 1 Capitanelli, Raffaela 1 Capraro, Patrick Leonardo 1 Cardin, Franco 1 Carpio-Bernido, Maria Victoria 1 Cattaneo, Laura 1 Chatzakou, Marianna 1 Chen, Changyuan 1 Ciolli, Fabio 1 Cirici, Joana 1 Cruzeiro, Ana-Bela 1 de Gosson, Maurice Alexis 1 De Vecchi, Francesco Carlo 1 Delgado, Julio 1 Dolecki, Szymon 1 Dong, Qian 1 Dong, Shihai 1 Doss, Halim 1 Drago, Nicolò 1 Duan, Jinqiao 1 Fassari, Silvestro 1 Fazio, A. R. 1 Feichtinger, Hans Georg 1 Fujiwara, Daisuke 1 Gill, Tepper L. 1 Gómez Vergel, Daniel 1 Gough, John E. 1 Grafke, Tobias 1 Grauer, Rainer 1 Gregorio, Federica 1 Guatteri, Giuseppina 1 Guiotto, Paolo 1 Hassanabadi, Hassan 1 Hyde, T. W. 1 Iliev, Plamen 1 Jefferies, Brian R. F. 1 Keith, Jonathan M. 1 Kostadinova, Evdokiya Georgieva 1 Kowalski, Krzysztof 1 Kwon, Mo A. 1 Lage, Svenja 1 Lakos, Gyula 1 Liaw, C. D. 1 Lin, Li 1 Liu, Chengshi 1 Magnot, Jean-Pierre 1 Marchione, Manfred Marvin 1 Matthews, Lynnell S. 1 Mayteevarunyoo, Thawatchai 1 Mitoma, Itaru 1 Mohameden, Hammah 1 Moretti, Valter 1 Mugnolo, Delio 1 Nathanson, Ekaterina S. ...and 54 more Authors all top 5 Cited in 67 Serials 13 Journal of Mathematical Physics 7 Bulletin des Sciences Mathématiques 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Journal of Functional Analysis 5 Stochastic Processes and their Applications 4 Reports on Mathematical Physics 4 Reviews in Mathematical Physics 3 Potential Analysis 3 Journal of Evolution Equations 3 Journal of Pseudo-Differential Operators and Applications 2 Modern Physics Letters A 2 Classical and Quantum Gravity 2 Communications in Mathematical Physics 2 International Journal of Theoretical Physics 2 Letters in Mathematical Physics 2 Journal of Differential Equations 2 Annals of Physics 2 Expositiones Mathematicae 2 Russian Journal of Mathematical Physics 2 Journal of Mathematical Sciences (New York) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Physics A: Mathematical and Theoretical 2 Bollettino dell’Unione Matematica Italiana 1 International Journal of Modern Physics B 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Physics Letters. A 1 Physics Letters. B 1 Physics Reports 1 Theoretical and Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Dissertationes Mathematicae 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Osaka Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Applied Numerical Mathematics 1 Journal of Symbolic Computation 1 Sugaku Expositions 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Theory of Probability and Mathematical Statistics 1 Advances in Applied Clifford Algebras 1 Doklady Mathematics 1 Chaos 1 Fractional Calculus & Applied Analysis 1 Communications of the Korean Mathematical Society 1 Journal of High Energy Physics 1 Quantum Information Processing 1 Thai Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Stochastics 1 Proceedings of the Steklov Institute of Mathematics 1 Advances in High Energy Physics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Quanta 1 Analysis and Geometry in Metric Spaces 1 Journal of Mathematics 1 Mathematics 1 International Journal of Partial Differential Equations 1 Advances in Operator Theory 1 Korean Journal of Mathematics all top 5 Cited in 37 Fields 76 Quantum theory (81-XX) 53 Partial differential equations (35-XX) 45 Probability theory and stochastic processes (60-XX) 25 Measure and integration (28-XX) 22 Functional analysis (46-XX) 21 Operator theory (47-XX) 12 Global analysis, analysis on manifolds (58-XX) 7 Relativity and gravitational theory (83-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year