Edit Profile (opens in new tab) Crismale, Vitonofrio Co-Author Distance Author ID: crismale.vitonofrio Published as: Crismale, Vitonofrio; Crismale, V. Homepage: https://www.dm.uniba.it/en/members/crismale External Links: MGP · ORCID · Google Scholar Documents Indexed: 32 Publications since 2005, including 2 Additional arXiv Preprints Co-Authors: 11 Co-Authors with 29 Joint Publications 186 Co-Co-Authors all top 5 Co-Authors 3 single-authored 10 Rossi, Stefano 9 Fidaleo, Francesco 9 Lu, Yun Gang 5 Del Vecchio, Simone 3 Ben Ghorbal, Anis 3 Griseta, Maria Elena 3 Wysoczański, Janusz 2 Accardi, Luigi 2 Zurlo, Paola 1 Duvenhage, Rocco 1 Monni, Tommaso all top 5 Serials 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Communications in Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Functional Analysis 1 Journal of Mathematical Analysis and Applications 1 Colloquium Mathematicum 1 Results in Mathematics 1 Journal of Operator Theory 1 Probability and Mathematical Statistics 1 Journal of Theoretical Probability 1 Linear Algebra and its Applications 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Annales Henri Poincaré 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Complex Analysis and Operator Theory 1 Banach Journal of Mathematical Analysis 1 Communications on Stochastic Analysis 1 Analysis and Mathematical Physics all top 5 Fields 30 Functional analysis (46-XX) 22 Probability theory and stochastic processes (60-XX) 8 Quantum theory (81-XX) 3 Operator theory (47-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 119 times in 49 Documents Cited by ▼ Year ▼ De Finetti theorem on the CAR algebra. Zbl 1260.46040 Crismale, Vitonofrio; Fidaleo, Francesco 18 2012 Exchangeable stochastic processes and symmetric states in quantum probability. Zbl 1319.60071 Crismale, Vitonofrio; Fidaleo, Francesco 14 2015 Ergodic theorems in quantum probability: an application to the monotone stochastic processes. Zbl 1388.60080 Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang 12 2017 Constructive universal central limit theorems based on interacting Fock spaces. Zbl 1079.60501 Accardi, L.; Crismale, V.; Lu, Y. G. 12 2005 Wick order, spreadability and exchangeability for monotone commutation relations. Zbl 1481.46068 Crismale, Vitonofrio; Fidaleo, Francesco; Griseta, Maria Elena 9 2018 Symmetries and ergodic properties in quantum probability. Zbl 1386.60131 Crismale, Vitonofrio; Fidaleo, Francesco 8 2017 Singleton conditions and quantum de Finetti’s theorem. Zbl 1178.46060 Accardi, Luigi; Ghorbal, Anis Ben; Crismale, Vitonofrio; Lu, Yun Gang 7 2008 Rotation invariant interacting Fock spaces. Zbl 1125.46052 Crismale, Vitonofrio; Lu, Yun Gang 5 2007 \(C^*\)-Fermi systems and detailed balance. Zbl 1478.46052 Crismale, Vitonofrio; Duvenhage, Rocco; Fidaleo, Francesco 5 2021 Quantum stochastic calculus on interacting Fock spaces: semimartingale estimates and stochastic integral. Zbl 1328.81141 Crismale, Vitonofrio 5 2007 Weakly monotone Fock space and monotone convolution of the Wigner law. Zbl 1445.46046 Crismale, Vitonofrio; Griseta, Maria Elena; Wysoczański, Janusz 4 2020 From discrete to continuous monotone \(C^\ast\)-algebras via quantum central limit theorems. Zbl 1366.60062 Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang 4 2017 Vacuum distribution, norm and spectral properties for sums of monotone position operators. Zbl 1524.46089 Crismale, Vitonofrio; Lu, Yun Gang 3 2020 A projective central limit theorem and interacting Fock space representation for the limit process. Zbl 1140.46324 Crismale, Vitonofrio 2 2008 On the monotone \(C^\ast \)-algebra. Zbl 1512.46035 Crismale, Vitonofrio; Del Vecchio, Simone; Rossi, Stefano 2 2023 De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products. Zbl 1520.46028 Crismale, Vitonofrio; Rossi, Stefano; Zurlo, Paola 2 2023 On \(C^\ast\)-norms on \(\mathbb{Z}_2\)-graded tensor products. Zbl 1492.46046 Crismale, Vitonofrio; Rossi, Stefano; Zurlo, Paola 2 2022 Limits of some weighted Cesaro averages. Zbl 1391.40002 Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang 2 2017 Tail algebras for monotone and \(q\)-deformed exchangeable stochastic processes. Zbl 1518.46044 Crismale, Vitonofrio; Rossi, Stefano 1 2023 Failure of the Ryll-Nardzewski theorem on the car algebra. Zbl 1510.60025 Crismale, Vitonofrio; Rossi, Stefano 1 2022 Distributions for nonsymmetric monotone and weakly monotone position operators. Zbl 1481.46069 Crismale, Vitonofrio; Griseta, Maria Elena; Wysoczański, Janusz 1 2021 On the monotone \(C^\ast \)-algebra. Zbl 1512.46035 Crismale, Vitonofrio; Del Vecchio, Simone; Rossi, Stefano 2 2023 De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products. Zbl 1520.46028 Crismale, Vitonofrio; Rossi, Stefano; Zurlo, Paola 2 2023 Tail algebras for monotone and \(q\)-deformed exchangeable stochastic processes. Zbl 1518.46044 Crismale, Vitonofrio; Rossi, Stefano 1 2023 On \(C^\ast\)-norms on \(\mathbb{Z}_2\)-graded tensor products. Zbl 1492.46046 Crismale, Vitonofrio; Rossi, Stefano; Zurlo, Paola 2 2022 Failure of the Ryll-Nardzewski theorem on the car algebra. Zbl 1510.60025 Crismale, Vitonofrio; Rossi, Stefano 1 2022 \(C^*\)-Fermi systems and detailed balance. Zbl 1478.46052 Crismale, Vitonofrio; Duvenhage, Rocco; Fidaleo, Francesco 5 2021 Distributions for nonsymmetric monotone and weakly monotone position operators. Zbl 1481.46069 Crismale, Vitonofrio; Griseta, Maria Elena; Wysoczański, Janusz 1 2021 Weakly monotone Fock space and monotone convolution of the Wigner law. Zbl 1445.46046 Crismale, Vitonofrio; Griseta, Maria Elena; Wysoczański, Janusz 4 2020 Vacuum distribution, norm and spectral properties for sums of monotone position operators. Zbl 1524.46089 Crismale, Vitonofrio; Lu, Yun Gang 3 2020 Wick order, spreadability and exchangeability for monotone commutation relations. Zbl 1481.46068 Crismale, Vitonofrio; Fidaleo, Francesco; Griseta, Maria Elena 9 2018 Ergodic theorems in quantum probability: an application to the monotone stochastic processes. Zbl 1388.60080 Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang 12 2017 Symmetries and ergodic properties in quantum probability. Zbl 1386.60131 Crismale, Vitonofrio; Fidaleo, Francesco 8 2017 From discrete to continuous monotone \(C^\ast\)-algebras via quantum central limit theorems. Zbl 1366.60062 Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang 4 2017 Limits of some weighted Cesaro averages. Zbl 1391.40002 Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang 2 2017 Exchangeable stochastic processes and symmetric states in quantum probability. Zbl 1319.60071 Crismale, Vitonofrio; Fidaleo, Francesco 14 2015 De Finetti theorem on the CAR algebra. Zbl 1260.46040 Crismale, Vitonofrio; Fidaleo, Francesco 18 2012 Singleton conditions and quantum de Finetti’s theorem. Zbl 1178.46060 Accardi, Luigi; Ghorbal, Anis Ben; Crismale, Vitonofrio; Lu, Yun Gang 7 2008 A projective central limit theorem and interacting Fock space representation for the limit process. Zbl 1140.46324 Crismale, Vitonofrio 2 2008 Rotation invariant interacting Fock spaces. Zbl 1125.46052 Crismale, Vitonofrio; Lu, Yun Gang 5 2007 Quantum stochastic calculus on interacting Fock spaces: semimartingale estimates and stochastic integral. Zbl 1328.81141 Crismale, Vitonofrio 5 2007 Constructive universal central limit theorems based on interacting Fock spaces. Zbl 1079.60501 Accardi, L.; Crismale, V.; Lu, Y. G. 12 2005 all cited Publications top 5 cited Publications all top 5 Cited by 55 Authors 17 Crismale, Vitonofrio 11 Fidaleo, Francesco 9 Rossi, Stefano 7 Lu, Yun Gang 5 Del Vecchio, Simone 3 Griseta, Maria Elena 3 Wysoczański, Janusz 2 Accardi, Luigi 2 Das, P. K. 2 Duvenhage, Rocco 2 Kang, Yuanbao 2 Köstler, Claus 2 Liu, Weihua 2 Wang, Chun 2 Xu, Tianzhou 2 Zimborás, Zoltán 2 Zurlo, Paola 1 Agredo, Julián 1 Albeverio, Sergio A. 1 Barcza, Gergely 1 Brunetti, Romeo 1 Bu, Kaifeng 1 Chatterjee, Arpita 1 Dütsch, Michael 1 Eisert, Jens 1 Fagnola, Franco 1 Franz, Uwe 1 Fredenhagen, Klaus 1 Giorgetti, Luca 1 Haldar, Prasanta 1 Hasebe, Takahiro 1 Jaffe, Arthur Michael 1 Jørgensen, Palle E. T. 1 Ko, Chul Ki 1 Kouba, Omran 1 Krishnan, Arundhathi 1 Krumnow, Christian 1 Krystek, Anna Dorota 1 Kula, Anna 1 Legeza, Örs 1 Liu, Zhengwei 1 Máté, Mihály 1 Monni, Tommaso 1 Oussi, Lahcen 1 Paolucci, Anna Maria 1 Poletti, Damiano 1 Rejzner, Katarzyna 1 Schilling, Christian 1 Schleissinger, Sebastian 1 Szalay, Szilárd 1 Wang, Caishi 1 Wills, Stephen J. 1 Wojakowski, Łukasz Jan 1 Wu, Jinsong 1 Yoo, Hyun Jae all top 5 Cited in 26 Serials 10 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Journal of Functional Analysis 4 Complex Analysis and Operator Theory 3 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Theoretical Probability 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Dissertationes Mathematicae 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Linear Algebra and its Applications 1 Open Systems & Information Dynamics 1 Annales Henri Poincaré 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Banach Journal of Mathematical Analysis 1 Analysis and Mathematical Physics 1 Journal of Function Spaces 1 Advances in Operator Theory 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 18 Fields 32 Functional analysis (46-XX) 25 Probability theory and stochastic processes (60-XX) 18 Quantum theory (81-XX) 11 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year