## Infinite Dimensional Analysis, Quantum Probability and Related Topics

 Short Title: Infin. Dimens. Anal. Quantum Probab. Relat. Top. Publisher: World Scientific, Singapore ISSN: 0219-0257; 1793-6306/e Online: https://www.worldscientific.com/loi/idaqp Comments: Indexed cover-to-cover
 Documents Indexed: 785 Publications (since 1998) References Indexed: 777 Publications with 14,512 References.
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### Authors

 56 Accardi, Luigi 17 Röckner, Michael 16 Ji, Un Cig 13 Albeverio, Sergio A. 13 Kondrat’yev, Yuriĭ Grygorovych 13 Kuo, Hui-Hsiung 13 Skeide, Michael 12 Fidaleo, Francesco 12 Ouerdiane, Habib 12 Saitô, Kimiaki 11 Fagnola, Franco 11 Lu, Yun Gang 11 Quezada, Roberto B. 10 Obata, Nobuaki 10 Stan, Aurel Iulian 9 Barhoumi, Abdessatar 9 Khrennikov, Andreĭ Yur’evich 9 Øksendal, Bernt Karsten 8 Lytvynov, Eugene W. 8 Mukhamedov, Farruh Maksutovich 8 Sengupta, Ambar N. 8 Volovich, Igor’ Vasil’evich 7 Bozejko, Marek 7 Kubo, Izumi 7 Lanconelli, Alberto 7 Lenczewski, Romuald 7 Liebscher, Volkmar 7 Parthasarathy, Kalyanapuram Rangachari 7 Rguigui, Hafedh 7 Wang, Feng-Yu 7 Zegarlinski, Boguslaw 7 Zhang, Tusheng S. 6 Asai, Nobuhiro 6 Bhat, B. V. Rajarama 6 Franz, Uwe 6 Grothaus, Martin 6 Hong, Wenming 6 Léandre, Rémi 6 Ohya, Masanori 6 Rebeï, Habib 6 Si, Si 6 Streit, Ludwig 6 Wysoczański, Janusz 5 Boukas, Andreas 5 Carbone, Raffaella 5 Kozyrev, Sergeĭ Vladimirovich 5 Krystek, Anna Dorota 5 Petz, Dénes 5 Proske, Frank Norbert 5 Riahi, Anis 5 Shkarin, Stanislav A. 5 Sinha, Kalyan B. 5 Smolyanov, Oleg Georgievich 5 Volkov, Boris O. 5 Yoshida, Hiroaki 4 Barbu, Viorel 4 Benth, Fred Espen 4 Bolaños-Servin, Jorge R. 4 Bonaccorsi, Stefano 4 Crismale, Vitonofrio 4 Da Prato, Giuseppe 4 da Silva, José Luís 4 Di Nunno, Giulia 4 García, Julio César 4 Gibilisco, Paolo 4 Hasebe, Takahiro 4 Huang, Zhiyuan 4 Isola, Tommaso 4 Kuna, Tobias 4 Kutoviy, Oleksandr V. 4 Li, Zenghu 4 Młotkowski, Wojciech 4 Privault, Nicolas 4 Rebolledo Berroeta, Rolando 4 Rozikov, Utkir A. 4 Saigo, Hayato 4 Schott, René 4 Schürmann, Michael 4 Szabłowski, Paweł Jerzy 4 Trutnau, Gerald 4 Umanità, Veronica 4 Zhu, RongChan 3 Antoniou, Ioannis E. 3 Banica, Teodor 3 Belavkin, Viacheslav 3 Belopol’skaya, Yana Isaevna 3 Ben Ghorbal, Anis 3 Bock, Wolfgang 3 Cecchini, Carlo 3 Demni, Nizar 3 Dhahri, Ameur 3 Ettaieb, Aymen 3 Finkelshteĭn, Dmitriĭ Leonidovich 3 Gorostiza, Luis G. 3 Goswami, Debashish 3 Gough, John E. 3 Hiai, Fumio 3 Hibino, Yuji 3 Hiroshima, Fumio 3 Ko, Chul Ki ...and 629 more Authors
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### Fields

 462 Probability theory and stochastic processes (60-XX) 326 Functional analysis (46-XX) 204 Quantum theory (81-XX) 136 Operator theory (47-XX) 85 Statistical mechanics, structure of matter (82-XX) 71 Partial differential equations (35-XX) 54 Global analysis, analysis on manifolds (58-XX) 37 Measure and integration (28-XX) 30 Dynamical systems and ergodic theory (37-XX) 28 Combinatorics (05-XX) 28 Special functions (33-XX) 24 Information and communication theory, circuits (94-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 Statistics (62-XX) 17 Topological groups, Lie groups (22-XX) 15 Potential theory (31-XX) 15 Integral transforms, operational calculus (44-XX) 14 Group theory and generalizations (20-XX) 13 Real functions (26-XX) 12 Nonassociative rings and algebras (17-XX) 12 Abstract harmonic analysis (43-XX) 12 Differential geometry (53-XX) 10 Number theory (11-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Fluid mechanics (76-XX) 8 Associative rings and algebras (16-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 6 Biology and other natural sciences (92-XX) 5 Difference and functional equations (39-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of particles and systems (70-XX) 4 Functions of a complex variable (30-XX) 4 Integral equations (45-XX) 4 Manifolds and cell complexes (57-XX) 3 Approximations and expansions (41-XX) 3 Algebraic topology (55-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

606 Publications have been cited 4,037 times in 2,654 Documents Cited by Year
Fractional white noise calculus and applications to finance. Zbl 1045.60072
Hu, Yaozhong; Øksendal, Bernt
2003
Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir
2011
Interacting Fock spaces and Gaussianization of probability measures. Zbl 0922.60013
Accardi, Luigi; Bożejko, Marek
1998
Harmonic analysis on configuration space. I: General theory. Zbl 1134.82308
Kondratiev, Yuri G.; Kuna, Tobias
2002
Monotonic independence, monotonic central limit theorem and monotonic law of small numbers. Zbl 1046.46049
Muraki, Naofumi
2001
Functional inequalities, semigroup properties and spectrum estimates. Zbl 1037.47505
Wang, Fengyu
2000
Malliavin calculus and anticipative Itô formulae for Lévy processes. Zbl 1080.60068
Di Nunno, Giulia; Meyer-Brandis, Thilo; Øksendal, Bernt; Proske, Frank
2005
Log-Harnack inequality for stochastic differential equations in Hilbert spaces and its consequences. Zbl 1207.60053
Röckner, Michael; Wang, Feng-Yu
2010
Tensor product systems of Hilbert modules and dilations of completely positive semigroups. Zbl 1002.46033
Bhat, B. V. Rajarama; Skeide, Michael
2000
The five independences as natural products. Zbl 1053.81057
Muraki, Naofumi
2003
Analysis on Poisson and Gamma spaces. Zbl 0924.60018
Kondratiev, Yuri G.; da Silva, José L.; Streit, Ludwig; Us, Georgi F.
1998
On a stochastic first-order hyperbolic equation in a bounded domain. Zbl 1194.60042
Vallet, Guy; Wittbold, Petra
2009
Correlation functions and invariant measures in continuous contact model. Zbl 1157.60086
Kondratiev, Yuri; Kutoviy, Oleksandr; Pirogov, Sergey
2008
On inhomogeneous $$p$$-adic Potts model on a Cayley tree. Zbl 1096.82007
Mukhamedov, Farrukh; Rozikov, Utkir
2005
Connections on non-parametric statistical manifolds by Orlicz space geometry. Zbl 0921.62004
Gibilisco, Paolo; Pistone, Giovanni
1998
Analytic characterization of generalized Fock space operators as two-variable entire functions with growth condition. Zbl 1050.60070
Ji, Un Cig; Obata, Nobuaki; Ouerdiane, Habib
2002
The stochastic magnetohydrodynamic system. Zbl 0998.76099
Sritharan, S. S.; Sundar, P.
1999
Generators of detailed balance quantum Markov semigroups. Zbl 1148.46036
Fagnola, Franco; Umanita, Veronica
2007
Notions of independence related to the free group. Zbl 0913.46057
Accardi, Luigi; Hashimoto, Yukihiro; Obata, Nobuaki
1998
On ergodic behavior of $$p$$-adic dynamical systems. Zbl 1040.37005
Gundlach, Matthias; Khrennikov, Andrei; Lindahl, Karl-Olof
2001
Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081
Rozikov, U. A.; Suhov, Y. M.
2006
Orthogonal decompositions for Lévy processes with an application to the gamma, Pascal, and Meixner processes. Zbl 1048.60037
Lytvynov, Eugene
2003
The five independences as quasi-universal products. Zbl 1055.46514
Muraki, Naofumi
2002
Characterization of probability measures through the canonically associated interacting Fock spaces. Zbl 1085.46043
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
2004
On contact processes in continuum. Zbl 1096.60040
Kondratiev, Yuri; Skorokhod, Anatoli
2006
Generic $$q$$-Markov semigroups and speed of convergence of $$q$$-algorithms. Zbl 1115.46055
Accardi, Luigi; Fagnola, Franco; Hachicha, Skander
2006
A stochastic Gronwall lemma. Zbl 1271.60056
Scheutzow, Michael
2013
A characterization of pure finitely correlated states. Zbl 0972.46041
Matsui, Taku
1998
The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator. Zbl 1209.46041
Dhahri, Ameur; Fagnola, Franco; Rebolledo, Rolando
2010
Functional Itô versus Banach space stochastic calculus and strict solutions of semilinear path-dependent equations. Zbl 1356.60085
Cosso, Andrea; Russo, Francesco
2016
Optimal consumption and portfolio in a Black–Scholes market driven by fractional Brownian motion. Zbl 1180.91266
Hu, Yaozhong; Øksendal, Bernt; Sulem, Agnés
2003
Monotone independence, comb graphs and Bose-Einstein condensation. Zbl 1073.81057
Accardi, Luigi; Ghorbal, Anis Ben; Obata, Nobuaki
2004
Ultrametric random field. Zbl 1154.60323
Khrennikov, A. Yu.; Kozyrev, S. V.
2006
Markov states and chains on the CAR algebra. Zbl 1125.46050
Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh
2007
Equilibrium Kawasaki dynamics of continuous particle systems. Zbl 1142.60064
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
2007
Smooth probability measures and associated differential operators. Zbl 0936.60052
Smolyanov, O. G.; von Weizsäcker, H.
1999
Generalized frames for operators in Hilbert spaces. Zbl 1294.41023
2014
A new class of white noise generalized functions. Zbl 0918.60027
Cochran, W. G.; Kuo, H.-H.; Sengupta, A.
1998
Quantum Markov fields. Zbl 1052.46047
Accardi, Luigi; Fidaleo, Francesco
2003
Markovian KMS-states for one-dimensional spin chains. Zbl 1043.82506
Accardi, Luigi; Liebscher, Volkmar
1999
Weighted traces on algebras of pseudo-differential operators and geometry on loop groups. Zbl 1134.58303
Cardona, A.; Ducourtioux, C.; Magnot, J. P.; Paycha, S.
2002
Two-photon absorption and emission process. Zbl 1095.46041
2005
Inclusion systems and amalgamated products of product systems. Zbl 1198.46050
Bhat, B. V. Rajarama; Mukherjee, Mithun
2010
Time-dependent Dirichlet forms and related stochastic calculus. Zbl 1078.60060
Oshima, Yoichi
2004
Moments and commutators of probability measures. Zbl 1139.60330
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
2007
Tamed 3D Navier – Stokes equation: existence, uniqueness and regularity. Zbl 1180.35417
Röckner, Michael; Zhang, Xicheng
2009
Asymptotic expansions for the Gaussian unitary ensemble. Zbl 1262.60009
Haagerup, Uffe; Thorbjørnsen, Steen
2012
Quantum Markov fields on graphs. Zbl 1211.46072
Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh
2010
Ultracontractivity and strong Sobolev inequality for $$q$$-Ornstein-Uhlenbeck semigroup $$(-1<q<1)$$. Zbl 1071.47510
Bożejko, Marek
1999
A connection between free and classical infinite divisibility. Zbl 1059.60017
Barndorff-Nielsen, O. E.; Thorbjørnsen, S.
2004
Expansion theorems for generalized random processes, Wick products and applications to stochastic differential equations. Zbl 1115.60068
Pilipović, Stevan; Seleši, Dora
2007
Unification of independence in quantum probability. Zbl 0928.46044
Lenczewski, Romuald
1998
Connections on statistical manifolds of density operators by geometry of noncommutative $$L^p$$-spaces. Zbl 1040.46502
Gibilisco, Paolo; Isola, Tommaso
1999
Probability distributions with binomial moments. Zbl 1298.44010
Młotkowski, Wojciech; Penson, Karol A.
2014
Renormalized powers of quantum white noise. Zbl 1136.60051
Accardi, Luigi; Boukas, Andreas; Notes, Uwe Franzshort
2006
A characterisation of Wigner-Yanase skew information among statistically monotone metrics. Zbl 1041.81011
Gibilisco, Paolo; Isola, Tommaso
2001
Extremal decision rules in quantum hypothesis testing. Zbl 1043.81512
Parthasarathy, K. R.
1999
Feynman’s operational calculi for noncommuting operators: spectral theory. Zbl 1096.47502
Jefferies, B.; Johnson, G. W.
2002
Sufficiency in quantum statistical inference: a survey with examples. Zbl 1108.46045
Jenčová, Anna; Petz, Dénes
2006
Monotone convolution and monotone infinite divisibility from complex analytic viewpoint. Zbl 1198.60014
Hasebe, Takahiro
2010
Strong Feller continuity of Feller processes and semigroups. Zbl 1258.60047
Schilling, René L.; Wang, Jian
2012
Cauchy problems associated with the Lévy Laplacian in white noise analysis. Zbl 0936.46033
Dong Myung Chung; Un Cig Ji; Seitô, Kimiaki
1999
Lagrangian Feynman formulas for second-order parabolic equations in bounded and unbounded domains. Zbl 1204.47096
Butko, Yana A.; Grothaus, Martin; Smolyanov, Oleg G.
2010
A scattering theory for Markov chains. Zbl 1243.81104
Kümmerer, Burkhard; Maassen, Hans
2000
Continuous-time quantum walks on trees in quantum probability theory. Zbl 1097.60087
Konno, Norio
2006
Bi-Poisson process. Zbl 1118.60066
Bryc, Włodzimierz; Wesołowski, Jacek
2007
Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra. Zbl 1077.81060
Accardi, Luigi; Amosov, Grigori; Franz, Uwe
2004
A closer look at quantum control landscapes and their implication for control optimization. Zbl 1276.81067
De Fouquieres, Pierre; Schirmer, Sophie G.
2013
Analysis of the stochastic Fitzhugh-Nagumo system. Zbl 1172.35422
Bonaccorsi, Stefano; Mastrogiacomo, Elisa
2008
Algebraic conditions for convergence of a quantum Markov semigroup to a steady state. Zbl 1165.46035
Fagnola, Franco; Rebolledo, Rolando
2008
The stochastic Lévy Laplacian and Yang-Mills equation on manifolds. Zbl 1049.58037
Léandre, Rémi; Volovich, Igor A.
2001
Diagonalization of the Lévy Laplacian and related stable processes. Zbl 1050.60071
Kuo, Hui-Hsiung; Obata, Nobuaki; Saitô, Kimiaki
2002
On explicit strong solution of Itô-SDE’s and the Donsker delta function of a diffusion. Zbl 1050.60065
Lanconelli, Alberto; Proske, Frank
2004
The index of (white) noises and their product systems. Zbl 1119.46051
Skeide, Michael
2006
Stochastic heat equation on algebra of generalized functions. Zbl 1278.60106
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh
2012
The approach to equilibrium of a class of quantum dynamical semigroups. Zbl 0923.46073
Fagnola, Franco; Rebolledo, Rolando
1998
A $$C_0$$-group generated by the Lévy Laplacian. II. Zbl 0936.60058
Saitô, Kimiaki
1998
Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations. Zbl 1273.47070
Butko, Yana A.; Schilling, René L.; Smolyanov, Oleg G.
2012
Flows in non-equilibrium quantum systems and quantum photosynthesis. Zbl 1386.81107
Kozyrev, S. V.; Mironov, A. A.; Teretenkov, A. E.; Volovich, I. V.
2017
On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type. Zbl 1346.82020
Accardi, Luigi; Fagnola, Franco; Quezada, Roberto
2016
Contraction of generalized relative entropy under stochastic mappings on matrices. Zbl 0917.94006
Petz, Dénes; Ruskai, Mary Beth
1998
Roles of log-concavity, log-convexity, and growth order in white noise analysis. Zbl 1106.46306
Asai, Nobuhiro; Kubo, Izumi; Kuo, Hui-Hsiung
2001
Renormalized traces as a looking glass into infinite-dimensional geometry. Zbl 1039.58022
Paycha, Sylvie
2001
Generating functions of exponential type for orthogonal polynomials. Zbl 1053.42027
Kubo, Izumi
2004
A simple proof of the fundamental theorem about Arveson systems. Zbl 1105.46047
Skeide, Michael
2006
Regularity of solutions to linear stochastic Schrödinger equations. Zbl 1128.60051
Mora, Carlos M.; Rebolledo, Rolando
2007
On quantum Markov chains on Cayley tree I: Uniqueness of the associated chain with $$XY$$-model on the Cayley tree of order two. Zbl 1239.46044
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
2011
Infinite divisibility for the conditionally free convolution. Zbl 1147.46041
Krystek, Anna Dorota
2007
QWN-Euler operator and associated Cauchy problem. Zbl 1248.60081
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh
2012
Exotic Laplacians and associated stochastic processes. Zbl 1172.60019
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
2009
Regular generalized functions in Gaussian analysis. Zbl 0965.60042
Grothaus, Martin; Kondratiev, Yuri G.; Streit, Ludwig
1999
Quantum dynamical entropy for completely positive map. Zbl 0973.46055
Kossakowski, A.; Ohya, M.; Watanabe, N.
1999
Construction of Dirichlet forms on standard forms of von Neumann algebras. Zbl 1037.46502
Park, Yong Moon
2000
On the uniqueness of the Chentsov metric in quantum information geometry. Zbl 1039.81011
Grasselli, M. R.; Streater, R. F.
2001
Djordjević, Goran S.; Dragovich, Branko; Nešić, Ljubiša
2003
Generators of Mehler-type semigroups as pseudo-differential operators. Zbl 1070.47515
Lescot, Paul; Röckner, Michael
2002
On Hunt processes and strict capacities associated with generalized Dirichlet forms. Zbl 1104.31006
Trutnau, Gerald
2005
A quantum approach to Laplace operators. Zbl 1097.60065
Accardi, Luigi; Barhoumi, Abdessatar; Ouerdiane, Habib
2006
Renormalized higher powers of white noise (RHPWN) and conformal field theory. Zbl 1102.81065
Accardi, Luigi; Boukas, Andreas
2006
Stochastic properties of degenerated quantum systems. Zbl 1191.35221
Sakbaev, Vsevolod Zh.
2010
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions. Zbl 07451477
Heinemann, Rico
2021
Stochastic version of Henry type Gronwall’s inequality. Zbl 1481.60043
Mekki, Slimane; Nieto, Juan J.; Ouahab, Abdelghani
2021
Quadratic-exponential functionals of Gaussian quantum processes. Zbl 07484156
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.
2021
Quantum Aitchison geometry. Zbl 07362257
Andai, Attila; Lovas, Attila
2021
A note concerning Marcinkiewicz integral with rough kernel. Zbl 1466.42010
Gürbüz, Ferit
2021
Refined existence and regularity results for a class of semilinear dissipative SPDEs. Zbl 1451.60071
Marinelli, Carlo; Scarpa, Luca
2020
Construction of $$g$$-fusion frames in Hilbert spaces. Zbl 1454.42029
2020
Quantum Markov chains: a unification approach. Zbl 07273416
Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb
2020
Space-distribution PDEs for path independent additive functionals of McKean-Vlasov SDEs. Zbl 1461.60051
Ren, Panpan; Wang, Feng-Yu
2020
Domains of elliptic operators on sets in Wiener space. Zbl 07220116
Addona, Davide; Cappa, Gianluca; Ferrari, Simone
2020
Interacting Fock spaces and subproduct systems. Zbl 07308690
Gerhold, Malte; Skeide, Michael
2020
Stability of the Markov (conservativity) property under perturbations. Zbl 1466.46053
Kumar, Dharmendra; Sinha, Kalyan B.; Srivastava, Sachi
2020
Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree. Zbl 1461.46063
Mukhamedov, Farrukh; Souissi, Abdessatar
2020
Quantum Strassen’s theorem. Zbl 1457.81014
Friedland, Shmuel; Ge, Jingtong; Zhi, Lihong
2020
Regularization of cylindrical processes in locally convex spaces. Zbl 1457.60006
Fonseca-Mora, Christian A.
2020
Regularity properties of the stochastic flow of a skew fractional Brownian motion. Zbl 1461.60038
Amine, Oussama; Baños, David R.; Proske, Frank
2020
Change of variable formulas for non-anticipative functionals. Zbl 1461.60058
2020
Ergodicity of 3D Leray-$$\alpha$$ model with fractional dissipation and degenerate stochastic forcing. Zbl 1447.60108
Li, Shihu; Liu, Wei; Xie, Yingchao
2019
Stochastic Navier-Stokes equations perturbed by Lévy noise with hereditary viscosity. Zbl 1421.35252
Mohan, Manil T.; Sritharan, Sivaguru S.
2019
Sobolev spaces with respect to a weighted Gaussian measure in infinite dimensions. Zbl 1436.28010
Ferrari, S.
2019
Structure and block representation for circulant quantum processes. Zbl 1436.82014
Bolaños-Servin, Jorge R.; Carbone, Raffaella; Quezada, Roberto
2019
Irreversible quantum evolution with quadratic generator: review. Zbl 1436.81077
Teretenkov, A. E.
2019
The linear stochastic heat equation with Hermite noise. Zbl 1436.60054
Slaoui, Meryem; Tudor, C. A.
2019
Tensor Bogolyubov representations of the renormalized square of white noise (RSWN) algebra. Zbl 1458.60083
Rebei, Habib; Accardi, Luigi; Taouil, Hajer
2019
A new family of polyno-expo-trigonometric distributions with applications. Zbl 1436.60022
Jamal, Farrukh; Chesneau, Christophe
2019
A characterization of probability measures in terms of semi-quantum operators. Zbl 1423.81074
Popa, Gabriela; Stan, Aurel I.
2019
Lévy differential operators and gauge invariant equations for Dirac and Higgs fields. Zbl 07076786
Volkov, Boris O.
2019
A stochastic Gronwall lemma revisited. Zbl 07076792
Makasu, Cloud
2019
Convergence theorems for barycentric maps. Zbl 1436.60011
Hiai, Fumio; Lim, Yongdo
2019
Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states. Zbl 1436.81080
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.
2019
Conditionally monotone independence and the associated products of graphs. Zbl 1451.46053
Lenczewski, Romuald
2019
A characterization of quantum Markov semigroups of weak coupling limit type. Zbl 1458.47020
2019
The $$q q$$-bit (III): symmetric $$q$$-Jordan-Wigner embeddings. Zbl 1478.82006
Accardi, Luigi; Lu, Yun-Gang
2019
Classification of globally colorized categories of partitions. Zbl 07039292
2018
Modeling questions for quantum permutations. Zbl 1404.46065
Banica, Teodor; Freslon, Amaury
2018
On the existence of $$E_0$$-semigroups – the multiparameter case. Zbl 1402.46047
Murugan, S. P.; Sundar, S.
2018
Feynman averaging of semigroups generated by Schrödinger operators. Zbl 1391.35338
Borisov, Leonid A.; Orlov, Yuriy N.; Sakbaev, Vsevolod Zh.
2018
Total variation flow perturbed by gradient linear multiplicative noise. Zbl 1430.35281
Munteanu, Ionuţ; Röckner, Michael
2018
Noncommutative Blackwell-Ross martingale inequality. Zbl 1395.46050
2018
Quantum symmetry of graph $$C^\ast$$-algebras associated with connected graphs. Zbl 1412.46082
Joardar, Soumalya; Mandal, Arnab
2018
A Hida-Malliavin white noise calculus approach to optimal control. Zbl 1400.60077
Agram, Nacira; Øksendal, Bernt
2018
Finiteness of inverse moments of $$(m, n, \beta)$$-Laguerre matrices. Zbl 1402.60010
Kumari, Sushma
2018
Quantum uncertainty based on metric adjusted skew information. Zbl 1392.94700
Cai, Liang
2018
Brownian representations of cylindrical continuous local martingales. Zbl 1391.60127
Yaroslavtsev, Ivan
2018
Explicit formula for evolution semigroup for diffusion in Hilbert space. Zbl 1409.35129
Remizov, Ivan D.
2018
The $$qq$$-bit. I: Central limits with left $$q$$-Jordan-Wigner embeddings, monotone interacting Fock space, Azema random variable, probabilistic meaning of $$q$$. Zbl 1409.82006
Accardi, Luigi; Lu, Yun-Gang
2018
Entangled and dark stationary states of excitation energy transport models in quantum many-particle systems and photosynthesis. Zbl 1401.82032
García, J. C.; Gliouez, S.; Guerrero-Poblete, F.; Quezada, R.
2018
Approximation of a free Poisson process by systems of freely independent particles. Zbl 1409.46037
Bożejko, Marek; da Silva, José Luís; Kuna, Tobias; Lytvynov, Eugene
2018
On a gauge action on sigma model solitons. Zbl 1395.58009
Lee, Hyun Ho
2018
A note on Gamma Wick products. Zbl 1396.60078
Catrina, Florin; Stan, Aurel I.
2018
Charges solve the truncated complex moment problem. Zbl 07039290
Idrissi, K.; Zerouali, E. H.
2018
Flows in non-equilibrium quantum systems and quantum photosynthesis. Zbl 1386.81107
Kozyrev, S. V.; Mironov, A. A.; Teretenkov, A. E.; Volovich, I. V.
2017
Identification of the theory of orthogonal polynomials in d-indeterminates with the theory of 3-diagonal symmetric interacting Fock spaces on $$\mathbb{C}^d$$. Zbl 1365.42019
Accardi, Luigi; Barhoumi, Abdessatar; Dhahri, Ameur
2017
Stochastic Lévy differential operators and Yang-Mills equations. Zbl 1393.70045
Volkov, Boris O.
2017
Gaussian estimates on networks with dynamic stochastic boundary conditions. Zbl 1366.35205
Cordoni, Francesco; Di Persio, Luca
2017
Structure of generic quantum Markov semigroup. Zbl 1366.60097
Carbone, R.; Sasso, E.; Umanità, V.
2017
The chordal Loewner equation and monotone probability theory. Zbl 1376.30004
Schleißinger, Sebastian
2017
Asymptotics of stochastic 2D hydrodynamical type systems in unbounded domains. Zbl 1386.60229
Yang, Juan; Zhai, Jianliang
2017
Approximating 3D Navier-Stokes equations driven by space-time white noise. Zbl 1386.60230
Zhu, Rongchan; Zhu, Xiangchan
2017
From discrete to continuous monotone $$C^\ast$$-algebras via quantum central limit theorems. Zbl 1366.60062
Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang
2017
Analytic characterizations of infinite dimensional distributions. Zbl 1366.60092
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
2017
Non-commutative stochastic independence and cumulants. Zbl 1381.46057
Manzel, Sarah; Schürmann, Michael
2017
Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach. Zbl 06798304
Kontis, V.; Ottobre, M.; Zegarlinski, B.
2017
On the fourth moment theorem for complex multiple Wiener-Itô integrals. Zbl 1361.60015
Chen, Yong; Liu, Yong
2017
Commutative hypergroups associated with a hyperfield. Zbl 1376.43007
Heyer, Herbert; Kawakami, Satoshi; Tsurii, Tatsuya; Yamanaka, Satoe
2017
Discrete fractional solutions of radial Schrödinger equation for Makarov potential. Zbl 1384.39012
Ozturk, Okkes
2017
An extension of the mixed Novikov-Kazamaki condition. Zbl 1386.60158
Chikvinidze, B.
2017
Mathematical aspects of Bose-Einstein condensation in equilibrium and local equilibrium conditions. Zbl 1386.82005
Accardi, Luigi; Pandiscia, Carlo
2017
Probabilistic boundaries of finite extensions of quantum groups. Zbl 1390.46063
Malacarne, Sara; Neshveyev, Sergey
2017
Exponential ergodicity for non-Lipschitz multivalued stochastic differential equations with Lévy jumps. Zbl 1361.60042
Guan, Yue; Wu, Jing
2017
Two Ramanujan’s formulas and normal distribution. Zbl 1381.60048
Wang, Mingjin
2017
Functional Itô versus Banach space stochastic calculus and strict solutions of semilinear path-dependent equations. Zbl 1356.60085
Cosso, Andrea; Russo, Francesco
2016
On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type. Zbl 1346.82020
Accardi, Luigi; Fagnola, Franco; Quezada, Roberto
2016
Connes embeddability of graph products. Zbl 1361.46044
Caspers, Martijn
2016
Stochastic differential games with inside information. Zbl 1349.91031
Draouil, Olfa; Øksendal, Bernt
2016
On the integral kernels of derivatives of the Ornstein-Uhlenbeck semigroup. Zbl 1448.47057
Teuwen, Jonas
2016
Higher powers of analytical operators and associated $$\ast$$-Lie algebras. Zbl 1342.60117
Ettaieb, Aymen; Khalifa, Narjess Turki; Ouerdiane, Habib; Rguigui, Hafedh
2016
Central limit theorem for the solution to the heat equation with moving time. Zbl 1335.60113
Liu, Junfeng; Tudor, Ciprian A.
2016
Exponential convergence rates for weighted sums in noncommutative probability space. Zbl 1370.46040
Choi, Byoung Jin; Ji, Un Cig
2016
Parametric $$R$$-norm directed-divergence convex function. Zbl 1401.94060
Garg, Dhanesh; Kumar, Satish
2016
The algebraic structure of quantum partial isometries. Zbl 1354.46064
Banica, Teodor
2016
A note on nonlinear $$\sigma$$-models in noncommutative geometry. Zbl 1346.58003
Lee, Hyun Ho
2016
One-dimensional three-state quantum walks: weak limits and localization. Zbl 1364.82022
Ko, Chul Ki; Segawa, Etsuo; Yoo, Hyun Jae
2016
Local times for multifractional Brownian motion in higher dimensions: a white noise approach. Zbl 1384.60075
Bock, Wolfgang; Da Silva, José Luís; Suryawan, Herry P.
2016
Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta distributions. Zbl 1384.60052
Nakamura, Takashi
2016
De Rham-Hodge decomposition and vanishing of harmonic forms by derivation operators on the Poisson space. Zbl 1342.60084
Privault, Nicolas
2016
Free probability aspect of irreducible meandric systems, and some related observations about meanders. Zbl 1359.46053
Nica, Alexandru
2016
Diagonal couplings of quantum Markov chains. Zbl 1370.46042
Kümmerer, Burkhard; Schwieger, Kay
2016
An information complexity index for probability measures on $$\mathbb{R}$$ with all moments. Zbl 1354.60009
Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed
2016
On the spectral distribution of distance-$$k$$ graph of free product graphs. Zbl 1351.05138
Arizmendi, Octavio; Gaxiola, Tulio
2016
A sharp interpolation between the Hölder and Gaussian Young inequalities. Zbl 1342.60119
Da Pelo, Paolo; Lanconelli, Alberto; Stan, Aurel I.
2016
Existence and regularity of the density for solutions of stochastic differential equations with boundary noise. Zbl 1335.60104
Bonaccorsi, Stefano; Zanella, Margherita
2016
Non-equilibrium steady states of a Markov generator of weak coupling limit type modeling absorption-emission of $$m$$ and $$n$$ photons. Zbl 1375.82061
Cruz-de la Rosa, Marco A.; Quezada, Roberto
2016
Semi-classical asymptotic expansions up to any finite orders of the partition function of an abstract Bose field model. Zbl 1356.81162
Aihara, Yuta
2016
Moment problems in an infinite number of variables. Zbl 1336.44004
Alpay, Daniel; Jorgensen, Palle E. T.; Kimsey, David P.
2015
Degenerate SDEs in Hilbert spaces with rough drifts. Zbl 1334.60115
Wang, Feng-Yu; Zhang, Xicheng
2015
From particle counting to Gaussian tomography. Zbl 1364.81076
Parthasarathy, K. R.; Sengupta, Ritabrata
2015
Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree. Zbl 1311.82005
Rozikov, U. A.; Haydarov, F. H.
2015
Analysis of generalized Poisson distributions associated with higher Landau levels. Zbl 1333.81454
Demni, Nizar; Mouayn, Zouhair
2015
Logarithmic Sobolev inequalities in non-commutative algebras. Zbl 1341.46040
Carbone, Raffaella; Martinelli, Andrea
2015
...and 506 more Documents
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### Cited by 2,141 Authors

 75 Accardi, Luigi 68 Mukhamedov, Farruh Maksutovich 59 Kondrat’yev, Yuriĭ Grygorovych 49 Wang, Feng-Yu 35 Röckner, Michael 33 Albeverio, Sergio A. 33 Rozikov, Utkir A. 32 Ji, Un Cig 31 Smolyanov, Oleg Georgievich 30 Fagnola, Franco 27 Fidaleo, Francesco 26 Kutoviy, Oleksandr V. 26 Lytvynov, Eugene W. 26 Ouerdiane, Habib 25 Finkelshteĭn, Dmitriĭ Leonidovich 22 Obata, Nobuaki 20 Barhoumi, Abdessatar 20 Jamilov, Uygun U. 20 Khrennikov, Andreĭ Yur’evich 20 Skeide, Michael 19 Hasebe, Takahiro 19 Rguigui, Hafedh 19 Sakbaev, Vsevolod Zhanovich 18 Liu, Wei 18 Stan, Aurel Iulian 17 Jumarie, Guy M. 16 Di Persio, Luca 16 Jørgensen, Palle E. T. 16 Lanconelli, Alberto 16 Øksendal, Bernt Karsten 16 Wang, Caishi 15 Carbone, Raffaella 15 Dhahri, Ameur 15 Grothaus, Martin 15 Léandre, Rémi 15 Russo, Francesco 15 Saburov, Mansoor 14 Banica, Teodor 14 Bhat, B. V. Rajarama 14 Ohya, Masanori 14 Pechen, Alexander Nikolaevich 14 Saitô, Kimiaki 14 Volovich, Igor’ Vasil’evich 14 Yan, Litan 13 Kozitsky, Yuri Vasil’evich 13 Lu, Yun Gang 13 Umanità, Veronica 12 Bozejko, Marek 12 Hu, Yaozhong 12 Huang, Xing 12 Isola, Tommaso 12 Kozyrev, Sergeĭ Vladimirovich 12 Kuo, Hui-Hsiung 12 Ladra González, Manuel 12 Rebeï, Habib 12 Wysoczański, Janusz 11 Barndorff-Nielsen, Ole Eiler 11 Crismale, Vitonofrio 11 Ko, Chul Ki 11 Lenczewski, Romuald 11 Nualart, David 11 Petz, Dénes 11 Proske, Frank Norbert 11 Quezada, Roberto B. 11 Seleši, Dora 11 Trutnau, Gerald 11 Wang, Jian 11 Zhang, Tusheng S. 11 Zhizhina, Elena Anatol’evna 10 Arizmendi, Octavio 10 Bryc, Włodzimierz 10 Cho, Ilwoo 10 Daletskii, Alexei 10 Gess, Benjamin 10 Gibilisco, Paolo 10 Khakimov, Otabek N. 10 Klimsiak, Tomasz 10 Nielsen, Lance 10 Privault, Nicolas 10 Riahi, Anis 10 Sasso, Emanuela 10 Szabłowski, Paweł Jerzy 10 Volkov, Boris O. 9 Anshelevich, Michael 9 Asai, Nobuhiro 9 Bogachev, Vladimir Igorevich 9 Boukas, Andreas 9 Kinderknecht, Yana A. 9 Cordoni, Francesco Giuseppe 9 Hiai, Fumio 9 Hiroshima, Fumio 9 Jenčová, Anna 9 Li, Shihu 9 Oliveira, Maria João 9 Sengupta, Ambar N. 9 Souissi, Abdessatar 9 Wesołowski, Jacek 9 Yuan, Chenggui 9 Zhang, Xicheng 8 da Silva, José Luís ...and 2,041 more Authors
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### Cited in 396 Journals

 338 Infinite Dimensional Analysis, Quantum Probability and Related Topics 137 Journal of Functional Analysis 117 Journal of Mathematical Physics 67 Journal of Mathematical Analysis and Applications 65 Stochastic Processes and their Applications 48 Communications in Mathematical Physics 48 Journal of Theoretical Probability 44 Potential Analysis 43 Stochastic Analysis and Applications 40 Stochastics 39 Journal of Statistical Physics 35 Reviews in Mathematical Physics 30 The Annals of Probability 29 Stochastics and Dynamics 28 Reports on Mathematical Physics 28 Theoretical and Mathematical Physics 28 Proceedings of the Steklov Institute of Mathematics 25 Journal of Differential Equations 23 Transactions of the American Mathematical Society 23 Statistics & Probability Letters 23 Open Systems & Information Dynamics 23 Journal of Evolution Equations 23 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 22 Doklady Mathematics 20 Letters in Mathematical Physics 19 Mathematical Notes 19 Acta Applicandae Mathematicae 18 Probability Theory and Related Fields 18 Annales Henri Poincaré 17 Chaos, Solitons and Fractals 17 Proceedings of the American Mathematical Society 17 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 17 Russian Journal of Mathematical Physics 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Journal of Mathematical Sciences (New York) 16 Random Operators and Stochastic Equations 15 Linear Algebra and its Applications 15 Mathematical Physics, Analysis and Geometry 14 Bernoulli 14 Lobachevskii Journal of Mathematics 14 Frontiers of Mathematics in China 13 Physica A 13 Journal of Geometry and Physics 13 Complex Analysis and Operator Theory 12 Integral Equations and Operator Theory 12 International Journal of Mathematics 12 Bulletin des Sciences Mathématiques 12 Acta Mathematica Sinica. English Series 12 Discrete and Continuous Dynamical Systems. Series B 11 International Journal of Theoretical Physics 11 Mathematische Zeitschrift 11 Stochastic and Partial Differential Equations. Analysis and Computations 10 Indian Journal of Pure & Applied Mathematics 10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 10 Positivity 9 Advances in Mathematics 9 Applied Mathematics and Optimization 9 Journal of Difference Equations and Applications 9 Electronic Journal of Probability 9 Foundations of Physics 9 Science China. Mathematics 8 Ukrainian Mathematical Journal 8 SIAM Journal on Mathematical Analysis 8 Qualitative Theory of Dynamical Systems 8 Quantum Information Processing 8 International Journal of Quantum Information 8 Advances in Difference Equations 8 Journal of Physics A: Mathematical and Theoretical 7 Applicable Analysis 7 Linear and Multilinear Algebra 7 Illinois Journal of Mathematics 7 Results in Mathematics 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 The Journal of Fourier Analysis and Applications 7 Discrete Dynamics in Nature and Society 7 Communications on Pure and Applied Analysis 7 ALEA. Latin American Journal of Probability and Mathematical Statistics 6 Rocky Mountain Journal of Mathematics 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 SIAM Journal on Control and Optimization 6 Journal of Dynamics and Differential Equations 6 Discrete and Continuous Dynamical Systems 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 6 Abstract and Applied Analysis 6 Quantitative Finance 6 Journal of Applied Mathematics and Computing 6 Banach Journal of Mathematical Analysis 6 Carpathian Mathematical Publications 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Archive for Rational Mechanics and Analysis 5 International Journal of Control 5 Journal of the Mathematical Society of Japan 5 Applied Mathematics Letters 5 The Annals of Applied Probability 5 Communications in Statistics. Theory and Methods 5 International Journal of Theoretical and Applied Finance 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Mediterranean Journal of Mathematics 5 Journal of Noncommutative Geometry ...and 296 more Journals
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### Cited in 62 Fields

 1,455 Probability theory and stochastic processes (60-XX) 772 Functional analysis (46-XX) 621 Quantum theory (81-XX) 453 Operator theory (47-XX) 410 Partial differential equations (35-XX) 289 Statistical mechanics, structure of matter (82-XX) 162 Dynamical systems and ergodic theory (37-XX) 150 Global analysis, analysis on manifolds (58-XX) 116 Combinatorics (05-XX) 110 Statistics (62-XX) 103 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 81 Information and communication theory, circuits (94-XX) 80 Biology and other natural sciences (92-XX) 77 Measure and integration (28-XX) 72 Systems theory; control (93-XX) 70 Harmonic analysis on Euclidean spaces (42-XX) 65 Special functions (33-XX) 63 Linear and multilinear algebra; matrix theory (15-XX) 59 Ordinary differential equations (34-XX) 58 Fluid mechanics (76-XX) 57 Number theory (11-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 47 Numerical analysis (65-XX) 46 Topological groups, Lie groups (22-XX) 45 Group theory and generalizations (20-XX) 41 Integral transforms, operational calculus (44-XX) 40 Nonassociative rings and algebras (17-XX) 38 Real functions (26-XX) 37 Potential theory (31-XX) 37 Differential geometry (53-XX) 35 Abstract harmonic analysis (43-XX) 32 Functions of a complex variable (30-XX) 27 Associative rings and algebras (16-XX) 26 Difference and functional equations (39-XX) 18 Mechanics of particles and systems (70-XX) 17 Integral equations (45-XX) 13 Approximations and expansions (41-XX) 11 Computer science (68-XX) 11 Relativity and gravitational theory (83-XX) 9 Field theory and polynomials (12-XX) 9 Algebraic geometry (14-XX) 9 Category theory; homological algebra (18-XX) 7 History and biography (01-XX) 7 Optics, electromagnetic theory (78-XX) 7 Geophysics (86-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Sequences, series, summability (40-XX) 6 General topology (54-XX) 6 Manifolds and cell complexes (57-XX) 6 Mechanics of deformable solids (74-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Operations research, mathematical programming (90-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Algebraic topology (55-XX) 4 Mathematical logic and foundations (03-XX) 4 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 $$K$$-theory (19-XX) 1 Convex and discrete geometry (52-XX)