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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: Journal; Indexed cover-to-cover
Documents Indexed: 834 Publications (since 1998)
References Indexed: 819 Publications with 15,561 References.
all top 5

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...and 4 more Volumes
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Authors

58 Accardi, Luigi
18 Ji, Un Cig
17 Röckner, Michael
14 Skeide, Michael
13 Albeverio, Sergio A.
13 Kondrat’yev, Yuriĭ Grygorovych
13 Kuo, Hui-Hsiung
12 Fagnola, Franco
12 Fidaleo, Francesco
12 Lu, Yun Gang
12 Ouerdiane, Habib
12 Saitô, Kimiaki
11 Quezada, Roberto B.
10 Obata, Nobuaki
10 Stan, Aurel Iulian
10 Wang, Feng-Yu
9 Barhoumi, Abdessatar
9 Khrennikov, Andreĭ Yur’evich
9 Mukhamedov, Farruh Maksutovich
9 Øksendal, Bernt Karsten
8 Lenczewski, Romuald
8 Lytvynov, Yevgen Vil’yamovych
8 Sengupta, Ambar N.
8 Volovich, Igor’ Vasil’evich
7 Bozejko, Marek
7 da Silva, José Luís
7 Franz, Uwe
7 Grothaus, Martin
7 Kubo, Izumi
7 Lanconelli, Alberto
7 Liebscher, Volkmar
7 Parthasarathy, Kalyanapuram Rangachari
7 Rguigui, Hafedh
7 Zegarlinski, Boguslaw
7 Zhang, Tusheng S.
6 Asai, Nobuhiro
6 Bhat, B. V. Rajarama
6 Hong, Wenming
6 Léandre, Rémi
6 Ohya, Masanori
6 Rebeï, Habib
6 Riahi, Anis
6 Si, Si
6 Sinha, Kalyan B.
6 Streit, Ludwig
6 Wysoczański, Janusz
5 Boukas, Andreas
5 Carbone, Raffaella
5 Crismale, Vitonofrio
5 Kozyrev, Sergeĭ Vladimirovich
5 Krystek, Anna Dorota
5 Petz, Dénes
5 Proske, Frank Norbert
5 Rozikov, Utkir A.
5 Schott, René
5 Schürmann, Michael
5 Shkarin, Stanislav A.
5 Smolyanov, Oleg Georgievich
5 Umanità, Veronica
5 Volkov, Boris O.
5 Yoshida, Hiroaki
4 Barbu, Viorel
4 Benth, Fred Espen
4 Bolaños-Servin, Jorge R.
4 Bonaccorsi, Stefano
4 Da Prato, Giuseppe
4 Di Nunno, Giulia
4 García, Julio César
4 Gibilisco, Paolo
4 Gough, John E.
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 Saigo, Hayato
4 Szabłowski, Paweł Jerzy
4 Trutnau, Gerald
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 Hiai, Fumio
3 Hibino, Yuji
3 Hiroshima, Fumio
3 Ko, Chul Ki
...and 669 more Authors
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Fields

490 Probability theory and stochastic processes (60-XX)
349 Functional analysis (46-XX)
219 Quantum theory (81-XX)
147 Operator theory (47-XX)
92 Statistical mechanics, structure of matter (82-XX)
74 Partial differential equations (35-XX)
54 Global analysis, analysis on manifolds (58-XX)
39 Measure and integration (28-XX)
32 Dynamical systems and ergodic theory (37-XX)
31 Combinatorics (05-XX)
29 Special functions (33-XX)
25 Information and communication theory, circuits (94-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
21 Statistics (62-XX)
16 Group theory and generalizations (20-XX)
16 Topological groups, Lie groups (22-XX)
16 Potential theory (31-XX)
15 Abstract harmonic analysis (43-XX)
15 Integral transforms, operational calculus (44-XX)
13 Real functions (26-XX)
12 Nonassociative rings and algebras (17-XX)
12 Differential geometry (53-XX)
11 Number theory (11-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
9 Fluid mechanics (76-XX)
9 Systems theory; control (93-XX)
8 Associative rings and algebras (16-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Numerical analysis (65-XX)
6 Ordinary differential equations (34-XX)
6 Difference and functional equations (39-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Mechanics of particles and systems (70-XX)
6 Biology and other natural sciences (92-XX)
5 Functions of a complex variable (30-XX)
4 Integral equations (45-XX)
4 Manifolds and cell complexes (57-XX)
3 History and biography (01-XX)
3 Several complex variables and analytic spaces (32-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 Sequences, series, summability (40-XX)
2 General topology (54-XX)
2 Computer science (68-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 \(K\)-theory (19-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of deformable solids (74-XX)

Publications by Year

Citations contained in zbMATH Open

661 Publications have been cited 5,142 times in 3,390 Documents Cited by Year
Fractional white noise calculus and applications to finance. Zbl 1045.60072
Hu, Yaozhong; Øksendal, Bernt
188
2003
Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir
125
2011
Interacting Fock spaces and Gaussianization of probability measures. Zbl 0922.60013
Accardi, Luigi; Bożejko, Marek
87
1998
Harmonic analysis on configuration space. I: General theory. Zbl 1134.82308
Kondratiev, Yuri G.; Kuna, Tobias
86
2002
Monotonic independence, monotonic central limit theorem and monotonic law of small numbers. Zbl 1046.46049
Muraki, Naofumi
73
2001
Malliavin calculus and anticipative Itô formulae for Lévy processes. Zbl 1080.60068
Di Nunno, Giulia; Meyer-Brandis, Thilo; Øksendal, Bernt; Proske, Frank
62
2005
Functional inequalities, semigroup properties and spectrum estimates. Zbl 1037.47505
Wang, Fengyu
51
2000
The five independences as natural products. Zbl 1053.81057
Muraki, Naofumi
50
2003
Log-Harnack inequality for stochastic differential equations in Hilbert spaces and its consequences. Zbl 1207.60053
Röckner, Michael; Wang, Feng-Yu
47
2010
Tensor product systems of Hilbert modules and dilations of completely positive semigroups. Zbl 1002.46033
Bhat, B. V. Rajarama; Skeide, Michael
42
2000
Correlation functions and invariant measures in continuous contact model. Zbl 1157.60086
Kondratiev, Yuri; Kutoviy, Oleksandr; Pirogov, Sergey
41
2008
On a stochastic first-order hyperbolic equation in a bounded domain. Zbl 1194.60042
Vallet, Guy; Wittbold, Petra
41
2009
On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007
Mukhamedov, Farrukh; Rozikov, Utkir
39
2005
Connections on non-parametric statistical manifolds by Orlicz space geometry. Zbl 0921.62004
Gibilisco, Paolo; Pistone, Giovanni
38
1998
A stochastic Gronwall lemma. Zbl 1271.60056
Scheutzow, Michael
37
2013
Analysis on Poisson and Gamma spaces. Zbl 0924.60018
Kondratiev, Yuri G.; da Silva, José L.; Streit, Ludwig; Us, Georgi F.
36
1998
Generators of detailed balance quantum Markov semigroups. Zbl 1148.46036
Fagnola, Franco; Umanita, Veronica
32
2007
The five independences as quasi-universal products. Zbl 1055.46514
Muraki, Naofumi
30
2002
On contact processes in continuum. Zbl 1096.60040
Kondratiev, Yuri; Skorokhod, Anatoli
29
2006
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
28
2002
The stochastic magnetohydrodynamic system. Zbl 0998.76099
Sritharan, S. S.; Sundar, P.
28
1999
Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081
Rozikov, U. A.; Suhov, Y. M.
28
2006
Tamed 3D Navier – Stokes equation: existence, uniqueness and regularity. Zbl 1180.35417
Röckner, Michael; Zhang, Xicheng
27
2009
The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator. Zbl 1209.46041
Dhahri, Ameur; Fagnola, Franco; Rebolledo, Rolando
27
2010
On ergodic behavior of \(p\)-adic dynamical systems. Zbl 1040.37005
Gundlach, Matthias; Khrennikov, Andrei; Lindahl, Karl-Olof
26
2001
Markov states and chains on the CAR algebra. Zbl 1125.46050
Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh
26
2007
Orthogonal decompositions for Lévy processes with an application to the gamma, Pascal, and Meixner processes. Zbl 1048.60037
Lytvynov, Eugene
25
2003
Characterization of probability measures through the canonically associated interacting Fock spaces. Zbl 1085.46043
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
25
2004
Generic \(q\)-Markov semigroups and speed of convergence of \(q\)-algorithms. Zbl 1115.46055
Accardi, Luigi; Fagnola, Franco; Hachicha, Skander
24
2006
Monotone independence, comb graphs and Bose-Einstein condensation. Zbl 1073.81057
Accardi, Luigi; Ghorbal, Anis Ben; Obata, Nobuaki
24
2004
Inclusion systems and amalgamated products of product systems. Zbl 1198.46050
Bhat, B. V. Rajarama; Mukherjee, Mithun
23
2010
Notions of independence related to the free group. Zbl 0913.46057
Accardi, Luigi; Hashimoto, Yukihiro; Obata, Nobuaki
23
1998
Generalized frames for operators in Hilbert spaces. Zbl 1294.41023
Asgari, Mohammad Sadegh; Rahimi, Hamidreza
23
2014
A closer look at quantum control landscapes and their implication for control optimization. Zbl 1276.81067
De Fouquieres, Pierre; Schirmer, Sophie G.
23
2013
Ultrametric random field. Zbl 1154.60323
Khrennikov, A. Yu.; Kozyrev, S. V.
23
2006
Quantum Markov fields on graphs. Zbl 1211.46072
Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh
22
2010
Ultracontractivity and strong Sobolev inequality for \(q\)-Ornstein-Uhlenbeck semigroup \((-1<q<1)\). Zbl 1071.47510
Bożejko, Marek
22
1999
Expansion theorems for generalized random processes, Wick products and applications to stochastic differential equations. Zbl 1115.60068
Pilipović, Stevan; Seleši, Dora
22
2007
Algebraic conditions for convergence of a quantum Markov semigroup to a steady state. Zbl 1165.46035
Fagnola, Franco; Rebolledo, Rolando
21
2008
On estimating the state of a finite level quantum system. Zbl 1077.47060
Parthasarathy, K. R.
21
2004
Strong Feller continuity of Feller processes and semigroups. Zbl 1258.60047
Schilling, René L.; Wang, Jian
21
2012
Moments and commutators of probability measures. Zbl 1139.60330
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
20
2007
Analysis of the stochastic Fitzhugh-Nagumo system. Zbl 1172.35422
Bonaccorsi, Stefano; Mastrogiacomo, Elisa
20
2008
Continuous-time quantum walks on trees in quantum probability theory. Zbl 1097.60087
Konno, Norio
20
2006
Quantum Markov fields. Zbl 1052.46047
Accardi, Luigi; Fidaleo, Francesco
20
2003
Extremal decision rules in quantum hypothesis testing. Zbl 1043.81512
Parthasarathy, K. R.
20
1999
A characterisation of Wigner-Yanase skew information among statistically monotone metrics. Zbl 1041.81011
Gibilisco, Paolo; Isola, Tommaso
20
2001
A characterization of pure finitely correlated states. Zbl 0972.46041
Matsui, Taku
20
1998
Optimal consumption and portfolio in a Black–Scholes market driven by fractional Brownian motion. Zbl 1180.91266
Hu, Yaozhong; Øksendal, Bernt; Sulem, Agnés
20
2003
Asymptotic expansions for the Gaussian unitary ensemble. Zbl 1262.60009
Haagerup, Uffe; Thorbjørnsen, Steen
20
2012
Probability distributions with binomial moments. Zbl 1298.44010
Młotkowski, Wojciech; Penson, Karol A.
19
2014
Equilibrium Kawasaki dynamics of continuous particle systems. Zbl 1142.60064
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
19
2007
Two-photon absorption and emission process. Zbl 1095.46041
Fagnola, Franco; Quezada, Roberto
18
2005
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
18
2011
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.
18
2002
Markovian KMS-states for one-dimensional spin chains. Zbl 1043.82506
Accardi, Luigi; Liebscher, Volkmar
18
1999
A new class of white noise generalized functions. Zbl 0918.60027
Cochran, W. G.; Kuo, H.-H.; Sengupta, A.
18
1998
Unification of independence in quantum probability. Zbl 0928.46044
Lenczewski, Romuald
18
1998
Sufficiency in quantum statistical inference: a survey with examples. Zbl 1108.46045
Jenčová, Anna; Petz, Dénes
18
2006
Functional Itô versus Banach space stochastic calculus and strict solutions of semilinear path-dependent equations. Zbl 1356.60085
Cosso, Andrea; Russo, Francesco
18
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
18
2016
Derivative formula and applications for hyperdissipative stochastic Navier-Stokes/Burgers equations. Zbl 1264.60047
Wang, Feng-Yu; Xu, Lihu
17
2012
Time-dependent Dirichlet forms and related stochastic calculus. Zbl 1078.60060
Oshima, Yoichi
17
2004
Connections on statistical manifolds of density operators by geometry of noncommutative \(L^p\)-spaces. Zbl 1040.46502
Gibilisco, Paolo; Isola, Tommaso
17
1999
Smooth probability measures and associated differential operators. Zbl 0936.60052
Smolyanov, O. G.; von Weizsäcker, H.
17
1999
Feynman’s operational calculi for noncommuting operators: spectral theory. Zbl 1096.47502
Jefferies, B.; Johnson, G. W.
17
2002
A connection between free and classical infinite divisibility. Zbl 1059.60017
Barndorff-Nielsen, O. E.; Thorbjørnsen, S.
17
2004
Renormalized powers of quantum white noise. Zbl 1136.60051
Accardi, Luigi; Boukas, Andreas; Notes, Uwe Franzshort
17
2006
Quantum Markov chains: a unification approach. Zbl 1501.46052
Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb
17
2020
Moment problems in an infinite number of variables. Zbl 1336.44004
Alpay, Daniel; Jorgensen, Palle E. T.; Kimsey, David P.
17
2015
The index of (white) noises and their product systems. Zbl 1119.46051
Skeide, Michael
16
2006
Irreversible quantum evolution with quadratic generator: review. Zbl 1436.81077
Teretenkov, A. E.
16
2019
Monotone convolution and monotone infinite divisibility from complex analytic viewpoint. Zbl 1198.60014
Hasebe, Takahiro
16
2010
Contraction of generalized relative entropy under stochastic mappings on matrices. Zbl 0917.94006
Petz, Dénes; Ruskai, Mary Beth
16
1998
On the uniqueness of the Chentsov metric in quantum information geometry. Zbl 1039.81011
Grasselli, M. R.; Streater, R. F.
16
2001
Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations. Zbl 1273.47070
Butko, Yana A.; Schilling, René L.; Smolyanov, Oleg G.
15
2012
Generators of Mehler-type semigroups as pseudo-differential operators. Zbl 1070.47515
Lescot, Paul; Röckner, Michael
15
2002
The approach to equilibrium of a class of quantum dynamical semigroups. Zbl 0923.46073
Fagnola, Franco; Rebolledo, Rolando
15
1998
Bi-Poisson process. Zbl 1118.60066
Bryc, Włodzimierz; Wesołowski, Jacek
15
2007
Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra. Zbl 1077.81060
Accardi, Luigi; Amosov, Grigori; Franz, Uwe
14
2004
A simple proof of the fundamental theorem about Arveson systems. Zbl 1105.46047
Skeide, Michael
14
2006
Cauchy problems associated with the Lévy Laplacian in white noise analysis. Zbl 0936.46033
Dong Myung Chung; Un Cig Ji; Seitô, Kimiaki
14
1999
Interaction measures on the space of distributions over the field of \(p\)-adic numbers. Zbl 1053.81067
Kochubei, Anatoly N.; Sait-Ametov, Mustafa R.
14
2003
On explicit strong solution of Itô-SDE’s and the Donsker delta function of a diffusion. Zbl 1050.60065
Lanconelli, Alberto; Proske, Frank
14
2004
Diagonalization of the Lévy Laplacian and related stable processes. Zbl 1050.60071
Kuo, Hui-Hsiung; Obata, Nobuaki; Saitô, Kimiaki
14
2002
The stochastic Lévy Laplacian and Yang-Mills equation on manifolds. Zbl 1049.58037
Léandre, Rémi; Volovich, Igor A.
14
2001
Construction of Dirichlet forms on standard forms of von Neumann algebras. Zbl 1037.46502
Park, Yong Moon
14
2000
A scattering theory for Markov chains. Zbl 1243.81104
Kümmerer, Burkhard; Maassen, Hans
14
2000
A conceptual proof of a basic result in the combinatorial approach to freeness. Zbl 1045.46041
Speicher, Roland
14
2000
On the asymptotic behavior of generic quantum Markov semigroups. Zbl 1301.46040
Carbone, R.; Sasso, E.; Umanità, V.
14
2014
Stochastic heat equation on algebra of generalized functions. Zbl 1278.60106
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh
14
2012
A cycle decomposition and entropy production for circulant quantum Markov semigroups. Zbl 1302.46051
Bolaños-Servin, Jorge R.; Quezada, Roberto
14
2013
Analysis of generalized Poisson distributions associated with higher Landau levels. Zbl 1333.81454
Demni, Nizar; Mouayn, Zouhair
14
2015
On uniqueness of mild solutions for dissipative stochastic evolution equations. Zbl 1207.60046
Marinelli, Carlo; Röckner, Michael
14
2010
Lagrangian Feynman formulas for second-order parabolic equations in bounded and unbounded domains. Zbl 1204.47096
Butko, Yana A.; Grothaus, Martin; Smolyanov, Oleg G.
14
2010
Decompositions of the free product of graphs. Zbl 1142.05333
Accardi, Luigi; Lenczewski, Romuald; Sałapata, Rafał
13
2007
On the Monge-Ampère equation in infinite dimensions. Zbl 1103.49001
Bogachev, Vladimir I.; Kolesnikov, Alexander V.
13
2005
Conditionally monotone independence I: Independence, additive convolutions and related convolutions. Zbl 1234.46053
Hasebe, Takahiro
13
2011
Weak coupling limit with a removal of an ultraviolet cutoff for a Hamiltonian of particles interacting with a massive scalar field. Zbl 0924.47053
Hiroshima, Fumio
13
1998
A \(C_0\)-group generated by the Lévy Laplacian. II. Zbl 0936.60058
Saitô, Kimiaki
13
1998
The Stockwell transform on locally compact abelian groups. Zbl 07841656
Esmaeelzadeh, Fatemeh
1
2024
Universality theorems for asymmetric spaces. Zbl 1528.46021
Alimov, A. R.
3
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 stopping rules for tree-indexed quantum Markov chains. Zbl 07757251
Souissi, Abdessatar
2
2023
Causal perturbative QFT and white noise. Zbl 1528.81182
Wawrzycki, Jarosław
1
2023
Dilation, functional model and a complete unitary invariant for \(C_{\cdot 0} \Gamma_n\)-contractions. Zbl 1523.47022
Pal, Sourav
1
2023
Positivity of Gibbs states on distance-regular graphs. Zbl 1511.05067
Voit, Michael
1
2023
Matrix-valued Schrödinger operators over finite adeles. Zbl 1534.81048
Urban, R.
1
2023
Weak pullback mean random attractors for the stochastic convective Brinkman-Forchheimer equations and locally monotone stochastic partial differential equations. Zbl 1496.37081
Kinra, K.; Mohan, M. T.
10
2022
Full error analysis for the training of deep neural networks. Zbl 1492.65132
Beck, Christian; Jentzen, Arnulf; Kuckuck, Benno
5
2022
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces. Zbl 1490.82012
Accardi, Luigi; Lu, Yun Gang
4
2022
Combinatorics of NC-probability spaces with independent constants. Zbl 1498.46069
Diaz-Aguilera, Carlos; Gaxiola, Tulio; Santos, Jorge; Vargas, Carlos
2
2022
Hafnian point processes and quasi-free states on the CCR algebra. Zbl 1492.60132
Alshehri, Maryam Gharamah Ali; Lytvynov, Eugene
1
2022
The category of compact quantum metric spaces. Zbl 1496.46074
Long, Botao; Wu, Wei
1
2022
Free CIR processes. Zbl 1498.60212
Graf, Holger; Port, Henry; Schlüchtermann, Georg
1
2022
Twisted convolution quantum information channels, one-parameter semigroups and their generators. Zbl 1518.81025
Parthasarathy, K. R.
1
2022
On the non-commutative multifractional Brownian motion. Zbl 1503.60045
Dozzi, Marco; Schott, René
1
2022
Path independence of the additive functionals for Mckean-Vlasov stochastic differential equations with jumps. Zbl 1478.60195
Qiao, Huijie; Wu, Jiang-Lun
4
2021
Stochastic version of Henry type Gronwall’s inequality. Zbl 1481.60043
Mekki, Slimane; Nieto, Juan J.; Ouahab, Abdelghani
3
2021
Generalized Bernoulli Wick differential equation. Zbl 1478.46042
Altoum, Sami H.; Ettaieb, Aymen; Rguigui, Hafedh
3
2021
Quadratic-exponential functionals of Gaussian quantum processes. Zbl 1486.81143
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.
3
2021
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions. Zbl 1490.60165
Heinemann, Rico
2
2021
A note concerning Marcinkiewicz integral with rough kernel. Zbl 1466.42010
Gürbüz, Ferit
2
2021
Equilibrium statistical mechanics of barotropic quasi-geostrophic equations. Zbl 1482.82027
Grotto, Francesco; Pappalettera, Umberto
2
2021
Some noncommutative subsequential weighted individual ergodic theorems. Zbl 1495.47028
O&rsquo;Brien, Morgan
1
2021
The structure of entrance laws for time-inhomogeneous Ornstein-Uhlenbeck processes with Lévy noise in Hilbert spaces. Zbl 1475.60143
Majid, Narges Rezvani; Röckner, Michael
1
2021
Sensitivity analysis in the infinite dimensional Heston model. Zbl 1481.60102
Benth, Fred Espen; Di Nunno, Giulia; Simonsen, Iben Cathrine
1
2021
Quantum Aitchison geometry. Zbl 1509.81031
Andai, Attila; Lovas, Attila
1
2021
An \(L_2\)-approximation method for construction and smoothing estimates of Markov semigroups for interacting diffusion processes on a lattice. Zbl 1520.47082
Won, Yong Sul
1
2021
Remarks on CCR and CAR flows over closed convex cones. Zbl 1492.46062
Arjunan, Anbu
1
2021
Characters of infinite-dimensional quantum classical groups: \(BCD\) cases. Zbl 1512.17026
Sato, Ryosuke
1
2021
Quantum Markov chains: a unification approach. Zbl 1501.46052
Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb
17
2020
Domains of elliptic operators on sets in Wiener space. Zbl 1521.47077
Addona, Davide; Cappa, Gianluca; Ferrari, Simone
10
2020
Refined existence and regularity results for a class of semilinear dissipative SPDEs. Zbl 1451.60071
Marinelli, Carlo; Scarpa, Luca
10
2020
Construction of \(g\)-fusion frames in Hilbert spaces. Zbl 1454.42029
Sadri, Vahid; Rahimlou, Gholamreza; Ahmadi, Reza; Farfar, Ramazan Zarghami
9
2020
Space-distribution PDEs for path independent additive functionals of McKean-Vlasov SDEs. Zbl 1461.60051
Ren, Panpan; Wang, Feng-Yu
9
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
7
2020
Interacting Fock spaces and subproduct systems. Zbl 07308690
Gerhold, Malte; Skeide, Michael
5
2020
Quantum Strassen’s theorem. Zbl 1457.81014
Friedland, Shmuel; Ge, Jingtong; Zhi, Lihong
5
2020
Stationary states of weak coupling limit-type Markov generators and quantum transport models. Zbl 1446.82072
Hernández-Cervantes, A.; Quezada, R.
4
2020
Regularity properties of the stochastic flow of a skew fractional Brownian motion. Zbl 1461.60038
Amine, Oussama; Baños, David R.; Proske, Frank
4
2020
Stability of the Markov (conservativity) property under perturbations. Zbl 1466.46053
Kumar, Dharmendra; Sinha, Kalyan B.; Srivastava, Sachi
4
2020
Lévy Laplacians and instantons on manifolds. Zbl 1460.58005
Volkov, Boris O.
3
2020
Noncommutative weighted individual ergodic theorems with continuous time. Zbl 1520.47025
Chilin, Vladimir; Litvinov, Semyon
3
2020
Identification of the one-mode quadratic Heisenberg group with the projective group \(\mathrm{PSU}(1, 1)\) and holomorphic representation. Zbl 1493.22011
Rebei, Habib; Rguigui, Hafedh; Riahi, Anis; Alhussain, Ziyad Ali
3
2020
Change of variable formulas for non-anticipative functionals. Zbl 1461.60058
Mania, Michael; Tevzadze, Revaz
2
2020
Large deviations for a stochastic Cahn-Hilliard equation in Hölder norm. Zbl 1454.60038
Boulanba, Lahcen; Mellouk, Mohamed
2
2020
Regularization of cylindrical processes in locally convex spaces. Zbl 1457.60006
Fonseca-Mora, Christian A.
2
2020
White noise delta functions and infinite-dimensional Laplacians. Zbl 1461.60060
Accardi, Luigi; Hasegawa, Ai; Ji, Un Cig; Saitô, Kimiaki
2
2020
Further results on the arcwise connectedness of solution sets of discontinuous quantum stochastic differential inclusions. Zbl 1457.81063
Dikko, D. A.
1
2020
A stochastic convolution integral inequality. Zbl 1472.60038
Makasu, Cloud
1
2020
Irreversible quantum evolution with quadratic generator: review. Zbl 1436.81077
Teretenkov, A. E.
16
2019
Stochastic Navier-Stokes equations perturbed by Lévy noise with hereditary viscosity. Zbl 1421.35252
Mohan, Manil T.; Sritharan, Sivaguru S.
12
2019
Ergodicity of 3D Leray-\(\alpha\) model with fractional dissipation and degenerate stochastic forcing. Zbl 1447.60108
Li, Shihu; Liu, Wei; Xie, Yingchao
11
2019
Sobolev spaces with respect to a weighted Gaussian measure in infinite dimensions. Zbl 1436.28010
Ferrari, S.
11
2019
Structure and block representation for circulant quantum processes. Zbl 1436.82014
Bolaños-Servin, Jorge R.; Carbone, Raffaella; Quezada, Roberto
5
2019
The linear stochastic heat equation with Hermite noise. Zbl 1436.60054
Slaoui, Meryem; Tudor, C. A.
5
2019
An asymptotic property of large matrices with identically distributed Boolean independent entries. Zbl 1436.60020
Popa, Mihai; Hao, Zhiwei
5
2019
A stochastic Gronwall lemma revisited. Zbl 1488.60111
Makasu, Cloud
4
2019
Eigenvalues, absolute continuity and localizations for periodic unitary transition operators. Zbl 1423.35265
Tate, Tatsuya
4
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.
4
2019
Lévy differential operators and gauge invariant equations for Dirac and Higgs fields. Zbl 1509.70033
Volkov, Boris O.
3
2019
A characterization of quantum Markov semigroups of weak coupling limit type. Zbl 1458.47020
Fagnola, Franco; Quezada, Roberto
3
2019
A characterization of probability measures in terms of semi-quantum operators. Zbl 1423.81074
Popa, Gabriela; Stan, Aurel I.
3
2019
Titchmarsh-Weyl theory for \(q\)-Dirac systems. Zbl 1425.39008
Allahverdiev, Bilender P.; Tuna, Hüseyin
3
2019
Asymptotics of Gaussian integrals in infinite dimensions. Zbl 1488.60169
Albeverio, Sergio; Steblovskaya, Victoria
3
2019
Convergence theorems for barycentric maps. Zbl 1436.60011
Hiai, Fumio; Lim, Yongdo
3
2019
The \(q q\)-bit (III): symmetric \(q\)-Jordan-Wigner embeddings. Zbl 1478.82006
Accardi, Luigi; Lu, Yun-Gang
2
2019
Controlled weaving frames in Hilbert spaces. Zbl 1435.42029
Rezapour, Reza; Rahimi, Asghar; Osgooei, Elnaz; Dehghan, Hossein
2
2019
Conditionally monotone independence and the associated products of graphs. Zbl 1451.46053
Lenczewski, Romuald
2
2019
Tensor Bogolyubov representations of the renormalized square of white noise (RSWN) algebra. Zbl 1458.60083
Rebei, Habib; Accardi, Luigi; Taouil, Hajer
2
2019
A new family of polyno-expo-trigonometric distributions with applications. Zbl 1436.60022
Jamal, Farrukh; Chesneau, Christophe
2
2019
Free-Boolean independence with amalgamation. Zbl 1451.46054
Liu, Weihua; Zhong, Ping
1
2019
Classification of globally colorized categories of partitions. Zbl 1486.20067
Gromada, Daniel
11
2018
On the existence of \(E_0\)-semigroups – the multiparameter case. Zbl 1402.46047
Murugan, S. P.; Sundar, S.
8
2018
Modeling questions for quantum permutations. Zbl 1404.46065
Banica, Teodor; Freslon, Amaury
8
2018
Feynman averaging of semigroups generated by Schrödinger operators. Zbl 1391.35338
Borisov, Leonid A.; Orlov, Yuriy N.; Sakbaev, Vsevolod Zh.
7
2018
Lévy-Khintchine decompositions for generating functionals on algebras associated to universal compact quantum groups. Zbl 1401.16041
Das, Biswarup; Franz, Uwe; Kula, Anna; Skalski, Adam
6
2018
Noncommutative Blackwell-Ross martingale inequality. Zbl 1395.46050
Talebi, Ali; Moslehian, Mohammad Sal; Sadeghi, Ghadir
6
2018
Total variation flow perturbed by gradient linear multiplicative noise. Zbl 1430.35281
Munteanu, Ionuţ; Röckner, Michael
5
2018
Quantum uncertainty based on metric adjusted skew information. Zbl 1392.94700
Cai, Liang
5
2018
A Hida-Malliavin white noise calculus approach to optimal control. Zbl 1400.60077
Agram, Nacira; Øksendal, Bernt
4
2018
Explicit formula for evolution semigroup for diffusion in Hilbert space. Zbl 1409.35129
Remizov, Ivan D.
4
2018
Quantum symmetry of graph \(C^\ast\)-algebras associated with connected graphs. Zbl 1412.46082
Joardar, Soumalya; Mandal, Arnab
3
2018
Pascal white noise harmonic analysis on configuration spaces and applications. Zbl 1409.60124
Riahi, Anis; Rebei, Habib
3
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
3
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.
2
2018
Finiteness of inverse moments of \((m, n, \beta)\)-Laguerre matrices. Zbl 1402.60010
Kumari, Sushma
2
2018
Charges solve the truncated complex moment problem. Zbl 1486.30105
Idrissi, K.; Zerouali, E. H.
2
2018
Brownian representations of cylindrical continuous local martingales. Zbl 1391.60127
Yaroslavtsev, Ivan
2
2018
A quantum probabilistic approach to Hecke algebras for \(\mathfrak{p}\)-adic \(\mathrm{PGL}_2\). Zbl 1448.46052
Hasegawa, Takehiro; Saigo, Hayato; Saito, Seiken; Sugiyama, Shingo
1
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
1
2018
Jacobi sequences of powers of random variables. Zbl 1390.60012
Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed
1
2018
A note on Gamma Wick products. Zbl 1396.60078
Catrina, Florin; Stan, Aurel I.
1
2018
On a gauge action on sigma model solitons. Zbl 1395.58009
Lee, Hyun Ho
1
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.
12
2017
Non-commutative stochastic independence and cumulants. Zbl 1381.46057
Manzel, Sarah; Schürmann, Michael
11
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
10
2017
Stochastic Lévy differential operators and Yang-Mills equations. Zbl 1393.70045
Volkov, Boris O.
9
2017
Structure of generic quantum Markov semigroup. Zbl 1366.60097
Carbone, R.; Sasso, E.; Umanità, V.
9
2017
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Cited by 2,785 Authors

89 Mukhamedov, Farruh Maksutovich
83 Accardi, Luigi
66 Wang, Feng-Yu
60 Kondrat’yev, Yuriĭ Grygorovych
38 Röckner, Michael
38 Rozikov, Utkir A.
37 Ji, Un Cig
36 Albeverio, Sergio A.
34 Fagnola, Franco
34 Jamilov, Uygun U.
33 Smolyanov, Oleg Georgievich
31 Fidaleo, Francesco
28 Lytvynov, Yevgen Vil’yamovych
27 Finkelshteĭn, Dmitriĭ Leonidovich
27 Ouerdiane, Habib
26 Kutoviy, Oleksandr V.
26 Rguigui, Hafedh
25 Skeide, Michael
23 Barhoumi, Abdessatar
23 Hasebe, Takahiro
22 Liu, Wei
22 Obata, Nobuaki
22 Pechen, Alexander Nikolaevich
22 Sakbaev, Vsevolod Zhanovich
21 Mohan, Manil Thankamani
21 Souissi, Abdessatar
20 Jørgensen, Palle E. T.
20 Khrennikov, Andreĭ Yur’evich
20 Stan, Aurel Iulian
19 Khakimov, Otabek N.
19 Lu, Yun Gang
19 Øksendal, Bernt Karsten
19 Yan, Litan
18 Di Persio, Luca
18 Wang, Caishi
17 Crismale, Vitonofrio
17 Jumarie, Guy M.
17 Saburov, Mansoor
16 Carbone, Raffaella
16 Dhahri, Ameur
16 Lanconelli, Alberto
16 Léandre, Rémi
16 Rebeï, Habib
16 Riahi, Anis
15 Bhat, B. V. Rajarama
15 Grothaus, Martin
15 Kozitsky, Yuri Vasil’evich
15 Russo, Francesco
15 Umanità, Veronica
15 Volovich, Igor’ Vasil’evich
14 Arizmendi, Octavio
14 Banica, Teodor
14 Hu, Yaozhong
14 Huang, Xing
14 Ladra González, Manuel
14 Ohya, Masanori
14 Saitô, Kimiaki
14 Seleši, Dora
14 Volkov, Boris O.
14 Zhizhina, Elena Anatol’evna
13 Bozejko, Marek
13 Cho, Ilwoo
13 Franz, Uwe
13 Kozyrev, Sergeĭ Vladimirovich
13 Proske, Frank Norbert
13 Quezada, Roberto B.
13 Teretenkov, Alexander E.
13 Zhang, Tusheng S.
12 Barndorff-Nielsen, Ole Eiler
12 Daletskii, Alexei
12 Isola, Tommaso
12 Ko, Chul Ki
12 Kuo, Hui-Hsiung
12 Lenczewski, Romuald
12 Sasso, Emanuela
12 Szabłowski, Paweł Jerzy
12 Tudor, Ciprian A.
12 Wang, Jian
12 Wysoczański, Janusz
12 Zhang, Xicheng
11 Embong, Ahmad Fadillah
11 Hiai, Fumio
11 Jenčová, Anna
11 Li, Shihu
11 Nualart, David
11 Petz, Dénes
11 Skalski, Adam G.
11 Trutnau, Gerald
11 Weber, Moritz
10 Boukas, Andreas
10 Bryc, Włodzimierz
10 Cordoni, Francesco Giuseppe
10 da Silva, José Luís
10 Gess, Benjamin
10 Gibilisco, Paolo
10 Haydarov, Farhod Halimjonovich
10 Klimsiak, Tomasz
10 Levajković, Tijana
10 Mazzucchi, Sonia
10 Molchanov, Stanislav Alekseevich
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Cited in 468 Journals

361 Infinite Dimensional Analysis, Quantum Probability and Related Topics
147 Journal of Functional Analysis
131 Journal of Mathematical Physics
89 Journal of Mathematical Analysis and Applications
75 Stochastic Processes and their Applications
57 Communications in Mathematical Physics
57 Journal of Theoretical Probability
51 Potential Analysis
50 Stochastic Analysis and Applications
49 Stochastics
43 Journal of Statistical Physics
40 Reviews in Mathematical Physics
39 Open Systems & Information Dynamics
38 Journal of Differential Equations
35 Stochastics and Dynamics
32 Theoretical and Mathematical Physics
31 Reports on Mathematical Physics
30 The Annals of Probability
29 Lobachevskii Journal of Mathematics
29 Proceedings of the Steklov Institute of Mathematics
28 Complex Analysis and Operator Theory
25 Transactions of the American Mathematical Society
25 Journal of Evolution Equations
25 Stochastic and Partial Differential Equations. Analysis and Computations
24 Statistics & Probability Letters
24 Annales Henri Poincaré
24 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
23 Doklady Mathematics
23 Journal of Physics A: Mathematical and Theoretical
22 Mathematical Notes
22 Physica A
22 Proceedings of the American Mathematical Society
21 Letters in Mathematical Physics
21 Probability Theory and Related Fields
21 Quantum Information Processing
20 Chaos, Solitons and Fractals
20 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
20 Journal of Mathematical Sciences (New York)
19 Acta Applicandae Mathematicae
19 Russian Journal of Mathematical Physics
19 Random Operators and Stochastic Equations
19 Electronic Journal of Probability
18 Linear Algebra and its Applications
17 Journal of Geometry and Physics
17 Mathematical Physics, Analysis and Geometry
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Bernoulli
16 Acta Mathematica Sinica. English Series
15 Applied Mathematics and Optimization
15 Positivity
14 International Journal of Theoretical Physics
14 Mathematical Methods in the Applied Sciences
14 Mathematische Nachrichten
14 Frontiers of Mathematics in China
14 Science China. Mathematics
13 International Journal of Mathematics
13 SIAM Journal on Mathematical Analysis
13 Discrete and Continuous Dynamical Systems. Series B
12 Advances in Mathematics
12 Integral Equations and Operator Theory
12 Bulletin des Sciences Mathématiques
12 International Journal of Quantum Information
12 ALEA. Latin American Journal of Probability and Mathematical Statistics
12 Information Geometry
11 Indian Journal of Pure & Applied Mathematics
11 Ukrainian Mathematical Journal
11 Mathematische Zeitschrift
11 Results in Mathematics
11 Journal of Difference Equations and Applications
11 Journal of Statistical Mechanics: Theory and Experiment
10 Linear and Multilinear Algebra
10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
10 Advances in Difference Equations
9 International Journal of Theoretical and Applied Finance
9 Qualitative Theory of Dynamical Systems
9 Foundations of Physics
8 Applicable Analysis
8 Studia Mathematica
8 The Annals of Applied Probability
8 Journal of Dynamics and Differential Equations
8 Discrete and Continuous Dynamical Systems
8 The Journal of Fourier Analysis and Applications
8 Discrete Dynamics in Nature and Society
8 Communications on Pure and Applied Analysis
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Rocky Mountain Journal of Mathematics
7 Russian Mathematical Surveys
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Colloquium Mathematicum
7 Illinois Journal of Mathematics
7 SIAM Journal on Control and Optimization
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Izvestiya: Mathematics
7 Fractional Calculus & Applied Analysis
7 Communications in Nonlinear Science and Numerical Simulation
7 Banach Journal of Mathematical Analysis
7 Kyoto Journal of Mathematics
6 Journal of Computational and Applied Mathematics
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
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Cited in 63 Fields

1,834 Probability theory and stochastic processes (60-XX)
948 Functional analysis (46-XX)
785 Quantum theory (81-XX)
564 Operator theory (47-XX)
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231 Dynamical systems and ergodic theory (37-XX)
178 Global analysis, analysis on manifolds (58-XX)
158 Combinatorics (05-XX)
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148 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
105 Biology and other natural sciences (92-XX)
97 Information and communication theory, circuits (94-XX)
96 Linear and multilinear algebra; matrix theory (15-XX)
96 Measure and integration (28-XX)
94 Systems theory; control (93-XX)
92 Harmonic analysis on Euclidean spaces (42-XX)
83 Fluid mechanics (76-XX)
82 Special functions (33-XX)
78 Ordinary differential equations (34-XX)
71 Number theory (11-XX)
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54 Nonassociative rings and algebras (17-XX)
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7 Operations research, mathematical programming (90-XX)
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