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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: Indexed cover-to-cover
Documents Indexed: 809 Publications (since 1998)
References Indexed: 794 Publications with 14,920 References.
all top 5

Latest Issues

26, No. 1 (2023)
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Authors

57 Accardi, Luigi
17 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
9 Barhoumi, Abdessatar
9 Khrennikov, Andreĭ Yur’evich
9 Mukhamedov, Farruh Maksutovich
9 Øksendal, Bernt Karsten
8 Lenczewski, Romuald
8 Lytvynov, Eugene W.
8 Sengupta, Ambar N.
8 Volovich, Igor’ Vasil’evich
7 Bozejko, Marek
7 Franz, Uwe
7 Grothaus, Martin
7 Kubo, Izumi
7 Lanconelli, Alberto
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 Hong, Wenming
6 Léandre, Rémi
6 Ohya, Masanori
6 Rebeï, Habib
6 Si, Si
6 Sinha, Kalyan B.
6 Streit, Ludwig
6 Wysoczański, Janusz
5 Boukas, Andreas
5 Carbone, Raffaella
5 Crismale, Vitonofrio
5 da Silva, José Luís
5 Kozyrev, Sergeĭ Vladimirovich
5 Krystek, Anna Dorota
5 Petz, Dénes
5 Proske, Frank Norbert
5 Riahi, Anis
5 Schott, René
5 Schürmann, Michael
5 Shkarin, Stanislav A.
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 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 Rozikov, Utkir A.
4 Saigo, Hayato
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 Hiai, Fumio
3 Hibino, Yuji
3 Hiroshima, Fumio
3 Ko, Chul Ki
...and 645 more Authors
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Fields

475 Probability theory and stochastic processes (60-XX)
341 Functional analysis (46-XX)
214 Quantum theory (81-XX)
140 Operator theory (47-XX)
87 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)
31 Dynamical systems and ergodic theory (37-XX)
29 Combinatorics (05-XX)
29 Special functions (33-XX)
25 Information and communication theory, circuits (94-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
19 Statistics (62-XX)
16 Topological groups, Lie groups (22-XX)
15 Group theory and generalizations (20-XX)
15 Potential theory (31-XX)
15 Integral transforms, operational calculus (44-XX)
13 Real functions (26-XX)
13 Abstract harmonic analysis (43-XX)
12 Nonassociative rings and algebras (17-XX)
12 Differential geometry (53-XX)
10 Number theory (11-XX)
10 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 Biology and other natural sciences (92-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)
3 History and biography (01-XX)
3 Approximations and expansions (41-XX)
3 Algebraic topology (55-XX)
3 Manifolds and cell complexes (57-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 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 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)

Publications by Year

Citations contained in zbMATH Open

625 Publications have been cited 4,447 times in 2,907 Documents Cited by Year
Fractional white noise calculus and applications to finance. Zbl 1045.60072
Hu, Yaozhong; Øksendal, Bernt
164
2003
Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir
102
2011
Interacting Fock spaces and Gaussianization of probability measures. Zbl 0922.60013
Accardi, Luigi; Bożejko, Marek
82
1998
Harmonic analysis on configuration space. I: General theory. Zbl 1134.82308
Kondratiev, Yuri G.; Kuna, Tobias
77
2002
Monotonic independence, monotonic central limit theorem and monotonic law of small numbers. Zbl 1046.46049
Muraki, Naofumi
68
2001
Functional inequalities, semigroup properties and spectrum estimates. Zbl 1037.47505
Wang, Fengyu
49
2000
Malliavin calculus and anticipative Itô formulae for Lévy processes. Zbl 1080.60068
Di Nunno, Giulia; Meyer-Brandis, Thilo; Øksendal, Bernt; Proske, Frank
46
2005
Log-Harnack inequality for stochastic differential equations in Hilbert spaces and its consequences. Zbl 1207.60053
Röckner, Michael; Wang, Feng-Yu
43
2010
The five independences as natural products. Zbl 1053.81057
Muraki, Naofumi
43
2003
Tensor product systems of Hilbert modules and dilations of completely positive semigroups. Zbl 1002.46033
Bhat, B. V. Rajarama; Skeide, Michael
38
2000
Correlation functions and invariant measures in continuous contact model. Zbl 1157.60086
Kondratiev, Yuri; Kutoviy, Oleksandr; Pirogov, Sergey
35
2008
Analysis on Poisson and Gamma spaces. Zbl 0924.60018
Kondratiev, Yuri G.; da Silva, José L.; Streit, Ludwig; Us, Georgi F.
34
1998
On a stochastic first-order hyperbolic equation in a bounded domain. Zbl 1194.60042
Vallet, Guy; Wittbold, Petra
32
2009
On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007
Mukhamedov, Farrukh; Rozikov, Utkir
31
2005
Connections on non-parametric statistical manifolds by Orlicz space geometry. Zbl 0921.62004
Gibilisco, Paolo; Pistone, Giovanni
28
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
27
2002
Generators of detailed balance quantum Markov semigroups. Zbl 1148.46036
Fagnola, Franco; Umanita, Veronica
27
2007
The stochastic magnetohydrodynamic system. Zbl 0998.76099
Sritharan, S. S.; Sundar, P.
25
1999
Characterization of probability measures through the canonically associated interacting Fock spaces. Zbl 1085.46043
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
23
2004
The five independences as quasi-universal products. Zbl 1055.46514
Muraki, Naofumi
23
2002
A stochastic Gronwall lemma. Zbl 1271.60056
Scheutzow, Michael
23
2013
Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081
Rozikov, U. A.; Suhov, Y. M.
23
2006
Notions of independence related to the free group. Zbl 0913.46057
Accardi, Luigi; Hashimoto, Yukihiro; Obata, Nobuaki
23
1998
On contact processes in continuum. Zbl 1096.60040
Kondratiev, Yuri; Skorokhod, Anatoli
23
2006
Markov states and chains on the CAR algebra. Zbl 1125.46050
Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh
22
2007
On ergodic behavior of \(p\)-adic dynamical systems. Zbl 1040.37005
Gundlach, Matthias; Khrennikov, Andrei; Lindahl, Karl-Olof
22
2001
Tamed 3D Navier – Stokes equation: existence, uniqueness and regularity. Zbl 1180.35417
Röckner, Michael; Zhang, Xicheng
22
2009
Generic \(q\)-Markov semigroups and speed of convergence of \(q\)-algorithms. Zbl 1115.46055
Accardi, Luigi; Fagnola, Franco; Hachicha, Skander
21
2006
Orthogonal decompositions for Lévy processes with an application to the gamma, Pascal, and Meixner processes. Zbl 1048.60037
Lytvynov, Eugene
21
2003
The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator. Zbl 1209.46041
Dhahri, Ameur; Fagnola, Franco; Rebolledo, Rolando
21
2010
On estimating the state of a finite level quantum system. Zbl 1077.47060
Parthasarathy, K. R.
20
2004
Ultracontractivity and strong Sobolev inequality for \(q\)-Ornstein-Uhlenbeck semigroup \((-1<q<1)\). Zbl 1071.47510
Bożejko, Marek
20
1999
Monotone independence, comb graphs and Bose-Einstein condensation. Zbl 1073.81057
Accardi, Luigi; Ghorbal, Anis Ben; Obata, Nobuaki
20
2004
A characterization of pure finitely correlated states. Zbl 0972.46041
Matsui, Taku
20
1998
Strong Feller continuity of Feller processes and semigroups. Zbl 1258.60047
Schilling, René L.; Wang, Jian
19
2012
Quantum Markov fields on graphs. Zbl 1211.46072
Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh
19
2010
Analysis of the stochastic Fitzhugh-Nagumo system. Zbl 1172.35422
Bonaccorsi, Stefano; Mastrogiacomo, Elisa
19
2008
Moments and commutators of probability measures. Zbl 1139.60330
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
19
2007
Quantum Markov fields. Zbl 1052.46047
Accardi, Luigi; Fidaleo, Francesco
19
2003
Ultrametric random field. Zbl 1154.60323
Khrennikov, A. Yu.; Kozyrev, S. V.
19
2006
Generalized frames for operators in Hilbert spaces. Zbl 1294.41023
Asgari, Mohammad Sadegh; Rahimi, Hamidreza
18
2014
Time-dependent Dirichlet forms and related stochastic calculus. Zbl 1078.60060
Oshima, Yoichi
18
2004
Expansion theorems for generalized random processes, Wick products and applications to stochastic differential equations. Zbl 1115.60068
Pilipović, Stevan; Seleši, Dora
18
2007
Equilibrium Kawasaki dynamics of continuous particle systems. Zbl 1142.60064
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
18
2007
Inclusion systems and amalgamated products of product systems. Zbl 1198.46050
Bhat, B. V. Rajarama; Mukherjee, Mithun
18
2010
Optimal consumption and portfolio in a Black–Scholes market driven by fractional Brownian motion. Zbl 1180.91266
Hu, Yaozhong; Øksendal, Bernt; Sulem, Agnés
18
2003
Functional Itô versus Banach space stochastic calculus and strict solutions of semilinear path-dependent equations. Zbl 1356.60085
Cosso, Andrea; Russo, Francesco
18
2016
Smooth probability measures and associated differential operators. Zbl 0936.60052
Smolyanov, O. G.; von Weizsäcker, H.
17
1999
Markovian KMS-states for one-dimensional spin chains. Zbl 1043.82506
Accardi, Luigi; Liebscher, Volkmar
17
1999
Feynman’s operational calculi for noncommuting operators: spectral theory. Zbl 1096.47502
Jefferies, B.; Johnson, G. W.
17
2002
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.
17
2002
Two-photon absorption and emission process. Zbl 1095.46041
Fagnola, Franco; Quezada, Roberto
17
2005
Asymptotic expansions for the Gaussian unitary ensemble. Zbl 1262.60009
Haagerup, Uffe; Thorbjørnsen, Steen
17
2012
Sufficiency in quantum statistical inference: a survey with examples. Zbl 1108.46045
Jenčová, Anna; Petz, Dénes
17
2006
Algebraic conditions for convergence of a quantum Markov semigroup to a steady state. Zbl 1165.46035
Fagnola, Franco; Rebolledo, Rolando
17
2008
Renormalized powers of quantum white noise. Zbl 1136.60051
Accardi, Luigi; Boukas, Andreas; Notes, Uwe Franzshort
17
2006
A new class of white noise generalized functions. Zbl 0918.60027
Cochran, W. G.; Kuo, H.-H.; Sengupta, A.
17
1998
Unification of independence in quantum probability. Zbl 0928.46044
Lenczewski, Romuald
17
1998
A connection between free and classical infinite divisibility. Zbl 1059.60017
Barndorff-Nielsen, O. E.; Thorbjørnsen, S.
16
2004
Connections on statistical manifolds of density operators by geometry of noncommutative \(L^p\)-spaces. Zbl 1040.46502
Gibilisco, Paolo; Isola, Tommaso
16
1999
Monotone convolution and monotone infinite divisibility from complex analytic viewpoint. Zbl 1198.60014
Hasebe, Takahiro
16
2010
Probability distributions with binomial moments. Zbl 1298.44010
Młotkowski, Wojciech; Penson, Karol A.
15
2014
Extremal decision rules in quantum hypothesis testing. Zbl 1043.81512
Parthasarathy, K. R.
15
1999
A closer look at quantum control landscapes and their implication for control optimization. Zbl 1276.81067
De Fouquieres, Pierre; Schirmer, Sophie G.
15
2013
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
15
2011
Bi-Poisson process. Zbl 1118.60066
Bryc, Włodzimierz; Wesołowski, Jacek
15
2007
A characterisation of Wigner-Yanase skew information among statistically monotone metrics. Zbl 1041.81011
Gibilisco, Paolo; Isola, Tommaso
15
2001
Continuous-time quantum walks on trees in quantum probability theory. Zbl 1097.60087
Konno, Norio
15
2006
Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra. Zbl 1077.81060
Accardi, Luigi; Amosov, Grigori; Franz, Uwe
14
2004
Cauchy problems associated with the Lévy Laplacian in white noise analysis. Zbl 0936.46033
Dong Myung Chung; Un Cig Ji; Seitô, Kimiaki
14
1999
The index of (white) noises and their product systems. Zbl 1119.46051
Skeide, Michael
14
2006
The approach to equilibrium of a class of quantum dynamical semigroups. Zbl 0923.46073
Fagnola, Franco; Rebolledo, Rolando
14
1998
A scattering theory for Markov chains. Zbl 1243.81104
Kümmerer, Burkhard; Maassen, Hans
14
2000
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
Diagonalization of the Lévy Laplacian and related stable processes. Zbl 1050.60071
Kuo, Hui-Hsiung; Obata, Nobuaki; Saitô, Kimiaki
13
2002
On explicit strong solution of Itô-SDE’s and the Donsker delta function of a diffusion. Zbl 1050.60065
Lanconelli, Alberto; Proske, Frank
13
2004
Moment problems in an infinite number of variables. Zbl 1336.44004
Alpay, Daniel; Jorgensen, Palle E. T.; Kimsey, David P.
13
2015
Stochastic heat equation on algebra of generalized functions. Zbl 1278.60106
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh
13
2012
Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations. Zbl 1273.47070
Butko, Yana A.; Schilling, René L.; Smolyanov, Oleg G.
13
2012
Contraction of generalized relative entropy under stochastic mappings on matrices. Zbl 0917.94006
Petz, Dénes; Ruskai, Mary Beth
13
1998
A \(C_0\)-group generated by the Lévy Laplacian. II. Zbl 0936.60058
Saitô, Kimiaki
13
1998
The stochastic Lévy Laplacian and Yang-Mills equation on manifolds. Zbl 1049.58037
Léandre, Rémi; Volovich, Igor A.
13
2001
Interaction measures on the space of distributions over the field of \(p\)-adic numbers. Zbl 1053.81067
Kochubei, Anatoly N.; Sait-Ametov, Mustafa R.
13
2003
A simple proof of the fundamental theorem about Arveson systems. Zbl 1105.46047
Skeide, Michael
13
2006
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
Quantum dynamical entropy for completely positive map. Zbl 0973.46055
Kossakowski, A.; Ohya, M.; Watanabe, N.
12
1999
The exotic (higher order Lévy) Laplacians generate the Markov processes given by distribution derivatives of white noise. Zbl 1285.60069
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
12
2013
Generators of Mehler-type semigroups as pseudo-differential operators. Zbl 1070.47515
Lescot, Paul; Röckner, Michael
12
2002
Constructive universal central limit theorems based on interacting Fock spaces. Zbl 1079.60501
Accardi, L.; Crismale, V.; Lu, Y. G.
12
2005
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
12
2016
Exotic Laplacians and associated stochastic processes. Zbl 1172.60019
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
12
2009
Irreversible quantum evolution with quadratic generator: review. Zbl 1436.81077
Teretenkov, A. E.
12
2019
QWN-Euler operator and associated Cauchy problem. Zbl 1248.60081
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh
12
2012
Regularity of solutions to linear stochastic Schrödinger equations. Zbl 1128.60051
Mora, Carlos M.; Rebolledo, Rolando
12
2007
Decompositions of the free product of graphs. Zbl 1142.05333
Accardi, Luigi; Lenczewski, Romuald; Sałapata, Rafał
12
2007
Derivative formula and applications for hyperdissipative stochastic Navier-Stokes/Burgers equations. Zbl 1264.60047
Wang, Feng-Yu; Xu, Lihu
12
2012
Infinite divisibility for the conditionally free convolution. Zbl 1147.46041
Krystek, Anna Dorota
12
2007
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
12
1998
Roles of log-concavity, log-convexity, and growth order in white noise analysis. Zbl 1106.46306
Asai, Nobuhiro; Kubo, Izumi; Kuo, Hui-Hsiung
12
2001
On the uniqueness of the Chentsov metric in quantum information geometry. Zbl 1039.81011
Grasselli, M. R.; Streater, R. F.
12
2001
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.
4
2022
Full error analysis for the training of deep neural networks. Zbl 1492.65132
Beck, Christian; Jentzen, Arnulf; Kuckuck, Benno
2
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
1
2022
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
Quadratic-exponential functionals of Gaussian quantum processes. Zbl 1486.81143
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.
2
2021
Stochastic version of Henry type Gronwall’s inequality. Zbl 1481.60043
Mekki, Slimane; Nieto, Juan J.; Ouahab, Abdelghani
1
2021
Quantum Aitchison geometry. Zbl 07362257
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 07362260
Won, Yong Sul
1
2021
Path independence of the additive functionals for Mckean-Vlasov stochastic differential equations with jumps. Zbl 1478.60195
Qiao, Huijie; Wu, Jiang-Lun
1
2021
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions. Zbl 1490.60165
Heinemann, Rico
1
2021
Characters of infinite-dimensional quantum classical groups: \(BCD\) cases. Zbl 07484158
Sato, Ryosuke
1
2021
Construction of \(g\)-fusion frames in Hilbert spaces. Zbl 1454.42029
Sadri, Vahid; Rahimlou, Gholamreza; Ahmadi, Reza; Farfar, Ramazan Zarghami
8
2020
Quantum Markov chains: a unification approach. Zbl 1501.46052
Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb
8
2020
Domains of elliptic operators on sets in Wiener space. Zbl 07220116
Addona, Davide; Cappa, Gianluca; Ferrari, Simone
7
2020
Refined existence and regularity results for a class of semilinear dissipative SPDEs. Zbl 1451.60071
Marinelli, Carlo; Scarpa, Luca
6
2020
Stability of the Markov (conservativity) property under perturbations. Zbl 1466.46053
Kumar, Dharmendra; Sinha, Kalyan B.; Srivastava, Sachi
4
2020
Space-distribution PDEs for path independent additive functionals of McKean-Vlasov SDEs. Zbl 1461.60051
Ren, Panpan; Wang, Feng-Yu
4
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
4
2020
Interacting Fock spaces and subproduct systems. Zbl 07308690
Gerhold, Malte; Skeide, Michael
3
2020
Stationary states of weak coupling limit-type Markov generators and quantum transport models. Zbl 1446.82072
Hernández-Cervantes, A.; Quezada, R.
2
2020
Regularity properties of the stochastic flow of a skew fractional Brownian motion. Zbl 1461.60038
Amine, Oussama; Baños, David R.; Proske, Frank
2
2020
Quantum Strassen’s theorem. Zbl 1457.81014
Friedland, Shmuel; Ge, Jingtong; Zhi, Lihong
2
2020
Change of variable formulas for non-anticipative functionals. Zbl 1461.60058
Mania, Michael; Tevzadze, Revaz
1
2020
Further results on the arcwise connectedness of solution sets of discontinuous quantum stochastic differential inclusions. Zbl 1457.81063
Dikko, D. A.
1
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
1
2020
Regularization of cylindrical processes in locally convex spaces. Zbl 1457.60006
Fonseca-Mora, Christian A.
1
2020
Irreversible quantum evolution with quadratic generator: review. Zbl 1436.81077
Teretenkov, A. E.
12
2019
Ergodicity of 3D Leray-\(\alpha\) model with fractional dissipation and degenerate stochastic forcing. Zbl 1447.60108
Li, Shihu; Liu, Wei; Xie, Yingchao
10
2019
Stochastic Navier-Stokes equations perturbed by Lévy noise with hereditary viscosity. Zbl 1421.35252
Mohan, Manil T.; Sritharan, Sivaguru S.
8
2019
Sobolev spaces with respect to a weighted Gaussian measure in infinite dimensions. Zbl 1436.28010
Ferrari, S.
5
2019
Structure and block representation for circulant quantum processes. Zbl 1436.82014
Bolaños-Servin, Jorge R.; Carbone, Raffaella; Quezada, Roberto
4
2019
The linear stochastic heat equation with Hermite noise. Zbl 1436.60054
Slaoui, Meryem; Tudor, C. A.
4
2019
A characterization of probability measures in terms of semi-quantum operators. Zbl 1423.81074
Popa, Gabriela; Stan, Aurel I.
3
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.
3
2019
Lévy differential operators and gauge invariant equations for Dirac and Higgs fields. Zbl 07076786
Volkov, Boris O.
2
2019
Asymptotics of Gaussian integrals in infinite dimensions. Zbl 1488.60169
Albeverio, Sergio; Steblovskaya, Victoria
2
2019
A stochastic Gronwall lemma revisited. Zbl 1488.60111
Makasu, Cloud
2
2019
Conditionally monotone independence and the associated products of graphs. Zbl 1451.46053
Lenczewski, Romuald
2
2019
An asymptotic property of large matrices with identically distributed Boolean independent entries. Zbl 1436.60020
Popa, Mihai; Hao, Zhiwei
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
A characterization of quantum Markov semigroups of weak coupling limit type. Zbl 1458.47020
Fagnola, Franco; Quezada, Roberto
1
2019
Titchmarsh-Weyl theory for \(q\)-Dirac systems. Zbl 1425.39008
Allahverdiev, Bilender P.; Tuna, Hüseyin
1
2019
The \(q q\)-bit (III): symmetric \(q\)-Jordan-Wigner embeddings. Zbl 1478.82006
Accardi, Luigi; Lu, Yun-Gang
1
2019
Controlled weaving frames in Hilbert spaces. Zbl 1435.42029
Rezapour, Reza; Rahimi, Asghar; Osgooei, Elnaz; Dehghan, Hossein
1
2019
Convergence theorems for barycentric maps. Zbl 1436.60011
Hiai, Fumio; Lim, Yongdo
1
2019
Classification of globally colorized categories of partitions. Zbl 1486.20067
Gromada, Daniel
10
2018
Modeling questions for quantum permutations. Zbl 1404.46065
Banica, Teodor; Freslon, Amaury
8
2018
Noncommutative Blackwell-Ross martingale inequality. Zbl 1395.46050
Talebi, Ali; Moslehian, Mohammad Sal; Sadeghi, Ghadir
6
2018
On the existence of \(E_0\)-semigroups – the multiparameter case. Zbl 1402.46047
Murugan, S. P.; Sundar, S.
6
2018
Feynman averaging of semigroups generated by Schrödinger operators. Zbl 1391.35338
Borisov, Leonid A.; Orlov, Yuriy N.; Sakbaev, Vsevolod Zh.
5
2018
Total variation flow perturbed by gradient linear multiplicative noise. Zbl 1430.35281
Munteanu, Ionuţ; Röckner, Michael
4
2018
Quantum uncertainty based on metric adjusted skew information. Zbl 1392.94700
Cai, Liang
3
2018
Explicit formula for evolution semigroup for diffusion in Hilbert space. Zbl 1409.35129
Remizov, Ivan D.
3
2018
A Hida-Malliavin white noise calculus approach to optimal control. Zbl 1400.60077
Agram, Nacira; Øksendal, Bernt
3
2018
Quantum symmetry of graph \(C^\ast\)-algebras associated with connected graphs. Zbl 1412.46082
Joardar, Soumalya; Mandal, Arnab
3
2018
Brownian representations of cylindrical continuous local martingales. Zbl 1391.60127
Yaroslavtsev, Ivan
2
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
2
2018
Finiteness of inverse moments of \((m, n, \beta)\)-Laguerre matrices. Zbl 1402.60010
Kumari, Sushma
2
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
Charges solve the truncated complex moment problem. Zbl 1486.30105
Idrissi, K.; Zerouali, E. H.
1
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
1
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.
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
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
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.
8
2017
Non-commutative stochastic independence and cumulants. Zbl 1381.46057
Manzel, Sarah; Schürmann, Michael
7
2017
Structure of generic quantum Markov semigroup. Zbl 1366.60097
Carbone, R.; Sasso, E.; Umanità, V.
7
2017
Gaussian estimates on networks with dynamic stochastic boundary conditions. Zbl 1366.35205
Cordoni, Francesco; Di Persio, Luca
7
2017
Approximating 3D Navier-Stokes equations driven by space-time white noise. Zbl 1386.60230
Zhu, Rongchan; Zhu, Xiangchan
5
2017
Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach. Zbl 06798304
Kontis, V.; Ottobre, M.; Zegarlinski, B.
4
2017
The chordal Loewner equation and monotone probability theory. Zbl 1376.30004
Schleißinger, Sebastian
4
2017
Asymptotics of stochastic 2D hydrodynamical type systems in unbounded domains. Zbl 1386.60229
Yang, Juan; Zhai, Jianliang
4
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
Analytic characterizations of infinite dimensional distributions. Zbl 1366.60092
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
3
2017
On the fourth moment theorem for complex multiple Wiener-Itô integrals. Zbl 1361.60015
Chen, Yong; Liu, Yong
3
2017
Exponential ergodicity for non-Lipschitz multivalued stochastic differential equations with Lévy jumps. Zbl 1361.60042
Guan, Yue; Wu, Jing
2
2017
Commutative hypergroups associated with a hyperfield. Zbl 1376.43007
Heyer, Herbert; Kawakami, Satoshi; Tsurii, Tatsuya; Yamanaka, Satoe
1
2017
Discrete fractional solutions of radial Schrödinger equation for Makarov potential. Zbl 1384.39012
Ozturk, Okkes
1
2017
An extension of the mixed Novikov-Kazamaki condition. Zbl 1386.60158
Chikvinidze, B.
1
2017
Mathematical aspects of Bose-Einstein condensation in equilibrium and local equilibrium conditions. Zbl 1386.82005
Accardi, Luigi; Pandiscia, Carlo
1
2017
Probabilistic boundaries of finite extensions of quantum groups. Zbl 1390.46063
Malacarne, Sara; Neshveyev, Sergey
1
2017
Two Ramanujan’s formulas and normal distribution. Zbl 1381.60048
Wang, Mingjin
1
2017
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
12
2016
Parametric \(R\)-norm directed-divergence convex function. Zbl 1401.94060
Garg, Dhanesh; Kumar, Satish
5
2016
Connes embeddability of graph products. Zbl 1361.46044
Caspers, Martijn
5
2016
Exponential convergence rates for weighted sums in noncommutative probability space. Zbl 1370.46040
Choi, Byoung Jin; Ji, Un Cig
5
2016
Higher powers of analytical operators and associated \(\ast\)-Lie algebras. Zbl 1342.60117
Ettaieb, Aymen; Khalifa, Narjess Turki; Ouerdiane, Habib; Rguigui, Hafedh
4
2016
Central limit theorem for the solution to the heat equation with moving time. Zbl 1335.60113
Liu, Junfeng; Tudor, Ciprian A.
4
2016
Stochastic differential games with inside information. Zbl 1349.91031
Draouil, Olfa; Øksendal, Bernt
4
2016
On the integral kernels of derivatives of the Ornstein-Uhlenbeck semigroup. Zbl 1448.47057
Teuwen, Jonas
4
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.
3
2016
The algebraic structure of quantum partial isometries. Zbl 1354.46064
Banica, Teodor
2
2016
A note on nonlinear \(\sigma\)-models in noncommutative geometry. Zbl 1346.58003
Lee, Hyun Ho
2
2016
One-dimensional three-state quantum walks: weak limits and localization. Zbl 1364.82022
Ko, Chul Ki; Segawa, Etsuo; Yoo, Hyun Jae
2
2016
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Cited by 2,362 Authors

77 Accardi, Luigi
71 Mukhamedov, Farruh Maksutovich
60 Kondrat’yev, Yuriĭ Grygorovych
49 Wang, Feng-Yu
35 Ji, Un Cig
35 Röckner, Michael
34 Albeverio, Sergio A.
34 Fagnola, Franco
34 Rozikov, Utkir A.
31 Smolyanov, Oleg Georgievich
29 Fidaleo, Francesco
27 Jamilov, Uygun U.
27 Lytvynov, Eugene W.
27 Ouerdiane, Habib
26 Kutoviy, Oleksandr V.
25 Finkelshteĭn, Dmitriĭ Leonidovich
23 Skeide, Michael
22 Obata, Nobuaki
21 Barhoumi, Abdessatar
20 Hasebe, Takahiro
20 Khrennikov, Andreĭ Yur’evich
20 Rguigui, Hafedh
20 Sakbaev, Vsevolod Zhanovich
20 Stan, Aurel Iulian
19 Liu, Wei
18 Di Persio, Luca
18 Øksendal, Bernt Karsten
17 Jørgensen, Palle E. T.
17 Jumarie, Guy M.
16 Carbone, Raffaella
16 Lanconelli, Alberto
16 Lu, Yun Gang
16 Wang, Caishi
16 Yan, Litan
15 Crismale, Vitonofrio
15 Dhahri, Ameur
15 Grothaus, Martin
15 Léandre, Rémi
15 Pechen, Alexander Nikolaevich
15 Russo, Francesco
15 Saburov, Mansoor
14 Banica, Teodor
14 Bhat, B. V. Rajarama
14 Hu, Yaozhong
14 Huang, Xing
14 Ladra González, Manuel
14 Ohya, Masanori
14 Saitô, Kimiaki
14 Souissi, Abdessatar
14 Umanità, Veronica
14 Volovich, Igor’ Vasil’evich
13 Arizmendi, Octavio
13 Bozejko, Marek
13 Khakimov, Otabek N.
13 Kozitsky, Yuri Vasil’evich
13 Rebeï, Habib
13 Zhizhina, Elena Anatol’evna
12 Barndorff-Nielsen, Ole Eiler
12 Isola, Tommaso
12 Kozyrev, Sergeĭ Vladimirovich
12 Kuo, Hui-Hsiung
12 Lenczewski, Romuald
12 Mohan, Manil Thankamani
12 Proske, Frank Norbert
12 Quezada, Roberto B.
12 Seleši, Dora
12 Wang, Jian
12 Wysoczański, Janusz
12 Zhang, Tusheng S.
11 Klimsiak, Tomasz
11 Ko, Chul Ki
11 Nualart, David
11 Petz, Dénes
11 Riahi, Anis
11 Sasso, Emanuela
11 Szabłowski, Paweł Jerzy
11 Trutnau, Gerald
11 Tudor, Ciprian A.
10 Boukas, Andreas
10 Bryc, Włodzimierz
10 Cho, Ilwoo
10 Cordoni, Francesco Giuseppe
10 Daletskii, Alexei
10 Gess, Benjamin
10 Gibilisco, Paolo
10 Li, Shihu
10 Nielsen, Lance
10 Privault, Nicolas
10 Volkov, Boris O.
10 Weber, Moritz
10 Yuan, Chenggui
10 Zhang, Xicheng
9 Anshelevich, Michael
9 Asai, Nobuhiro
9 Bogachev, Vladimir Igorevich
9 Kinderknecht, Yana A.
9 Di Nunno, Giulia
9 Hiai, Fumio
9 Hiroshima, Fumio
9 Jenčová, Anna
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Cited in 419 Journals

349 Infinite Dimensional Analysis, Quantum Probability and Related Topics
141 Journal of Functional Analysis
126 Journal of Mathematical Physics
76 Journal of Mathematical Analysis and Applications
69 Stochastic Processes and their Applications
50 Communications in Mathematical Physics
50 Journal of Theoretical Probability
48 Potential Analysis
47 Stochastics
46 Stochastic Analysis and Applications
42 Journal of Statistical Physics
38 Reviews in Mathematical Physics
32 Open Systems & Information Dynamics
30 The Annals of Probability
30 Journal of Differential Equations
30 Stochastics and Dynamics
29 Reports on Mathematical Physics
28 Theoretical and Mathematical Physics
28 Proceedings of the Steklov Institute of Mathematics
25 Transactions of the American Mathematical Society
23 Statistics & Probability Letters
23 Journal of Evolution Equations
23 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
22 Doklady Mathematics
21 Lobachevskii Journal of Mathematics
20 Letters in Mathematical Physics
20 Mathematical Notes
20 Proceedings of the American Mathematical Society
20 Probability Theory and Related Fields
20 Annales Henri Poincaré
19 Physica A
19 Chaos, Solitons and Fractals
19 Acta Applicandae Mathematicae
18 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
17 Russian Journal of Mathematical Physics
17 Journal of Mathematical Sciences (New York)
17 Random Operators and Stochastic Equations
17 Complex Analysis and Operator Theory
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Linear Algebra and its Applications
16 Stochastic and Partial Differential Equations. Analysis and Computations
15 Bernoulli
15 Mathematical Physics, Analysis and Geometry
14 Journal of Geometry and Physics
14 Frontiers of Mathematics in China
13 Quantum Information Processing
12 International Journal of Theoretical Physics
12 Integral Equations and Operator Theory
12 International Journal of Mathematics
12 Bulletin des Sciences Mathématiques
12 Positivity
12 Acta Mathematica Sinica. English Series
12 Discrete and Continuous Dynamical Systems. Series B
11 Mathematische Zeitschrift
10 Indian Journal of Pure & Applied Mathematics
10 Advances in Mathematics
10 Applied Mathematics and Optimization
10 Results in Mathematics
10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
10 Journal of Difference Equations and Applications
10 Electronic Journal of Probability
9 Linear and Multilinear Algebra
9 Ukrainian Mathematical Journal
9 SIAM Journal on Mathematical Analysis
9 International Journal of Quantum Information
9 Advances in Difference Equations
9 Foundations of Physics
9 ALEA. Latin American Journal of Probability and Mathematical Statistics
9 Science China. Mathematics
8 Discrete Dynamics in Nature and Society
8 Qualitative Theory of Dynamical Systems
8 Journal of Physics A: Mathematical and Theoretical
7 Applicable Analysis
7 Illinois Journal of Mathematics
7 The Annals of Applied Probability
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 Communications on Pure and Applied Analysis
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Banach Journal of Mathematical Analysis
6 Rocky Mountain Journal of Mathematics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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 Kyoto Journal of Mathematics
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 Computational and Applied Mathematics
5 Journal of the Mathematical Society of Japan
5 Ergodic Theory and Dynamical Systems
5 Applied Mathematics Letters
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Cited in 62 Fields

1,579 Probability theory and stochastic processes (60-XX)
840 Functional analysis (46-XX)
683 Quantum theory (81-XX)
500 Operator theory (47-XX)
458 Partial differential equations (35-XX)
309 Statistical mechanics, structure of matter (82-XX)
189 Dynamical systems and ergodic theory (37-XX)
152 Global analysis, analysis on manifolds (58-XX)
131 Combinatorics (05-XX)
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118 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
89 Biology and other natural sciences (92-XX)
86 Information and communication theory, circuits (94-XX)
82 Measure and integration (28-XX)
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69 Linear and multilinear algebra; matrix theory (15-XX)
66 Special functions (33-XX)
66 Fluid mechanics (76-XX)
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53 Calculus of variations and optimal control; optimization (49-XX)
48 Real functions (26-XX)
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44 Nonassociative rings and algebras (17-XX)
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38 Potential theory (31-XX)
38 Differential geometry (53-XX)
35 Abstract harmonic analysis (43-XX)
33 Associative rings and algebras (16-XX)
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22 Integral equations (45-XX)
20 Mechanics of particles and systems (70-XX)
15 Computer science (68-XX)
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9 History and biography (01-XX)
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9 Geophysics (86-XX)
8 General topology (54-XX)
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7 Mechanics of deformable solids (74-XX)
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6 Mathematical logic and foundations (03-XX)
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