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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: 785 Publications (since 1998)
References Indexed: 777 Publications with 14,512 References.
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Latest Issues

25, No. 2 (2022)
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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)

Publications by Year

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
148
2003
Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir
82
2011
Interacting Fock spaces and Gaussianization of probability measures. Zbl 0922.60013
Accardi, Luigi; Bożejko, Marek
76
1998
Harmonic analysis on configuration space. I: General theory. Zbl 1134.82308
Kondratiev, Yuri G.; Kuna, Tobias
74
2002
Monotonic independence, monotonic central limit theorem and monotonic law of small numbers. Zbl 1046.46049
Muraki, Naofumi
61
2001
Functional inequalities, semigroup properties and spectrum estimates. Zbl 1037.47505
Wang, Fengyu
47
2000
Malliavin calculus and anticipative Itô formulae for Lévy processes. Zbl 1080.60068
Di Nunno, Giulia; Meyer-Brandis, Thilo; Øksendal, Bernt; Proske, Frank
42
2005
Log-Harnack inequality for stochastic differential equations in Hilbert spaces and its consequences. Zbl 1207.60053
Röckner, Michael; Wang, Feng-Yu
40
2010
Tensor product systems of Hilbert modules and dilations of completely positive semigroups. Zbl 1002.46033
Bhat, B. V. Rajarama; Skeide, Michael
34
2000
The five independences as natural products. Zbl 1053.81057
Muraki, Naofumi
34
2003
Analysis on Poisson and Gamma spaces. Zbl 0924.60018
Kondratiev, Yuri G.; da Silva, José L.; Streit, Ludwig; Us, Georgi F.
33
1998
On a stochastic first-order hyperbolic equation in a bounded domain. Zbl 1194.60042
Vallet, Guy; Wittbold, Petra
30
2009
Correlation functions and invariant measures in continuous contact model. Zbl 1157.60086
Kondratiev, Yuri; Kutoviy, Oleksandr; Pirogov, Sergey
29
2008
On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007
Mukhamedov, Farrukh; Rozikov, Utkir
28
2005
Connections on non-parametric statistical manifolds by Orlicz space geometry. Zbl 0921.62004
Gibilisco, Paolo; Pistone, Giovanni
27
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
The stochastic magnetohydrodynamic system. Zbl 0998.76099
Sritharan, S. S.; Sundar, P.
23
1999
Generators of detailed balance quantum Markov semigroups. Zbl 1148.46036
Fagnola, Franco; Umanita, Veronica
23
2007
Notions of independence related to the free group. Zbl 0913.46057
Accardi, Luigi; Hashimoto, Yukihiro; Obata, Nobuaki
22
1998
On ergodic behavior of \(p\)-adic dynamical systems. Zbl 1040.37005
Gundlach, Matthias; Khrennikov, Andrei; Lindahl, Karl-Olof
22
2001
Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081
Rozikov, U. A.; Suhov, Y. M.
21
2006
Orthogonal decompositions for Lévy processes with an application to the gamma, Pascal, and Meixner processes. Zbl 1048.60037
Lytvynov, Eugene
20
2003
The five independences as quasi-universal products. Zbl 1055.46514
Muraki, Naofumi
20
2002
Characterization of probability measures through the canonically associated interacting Fock spaces. Zbl 1085.46043
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
20
2004
On contact processes in continuum. Zbl 1096.60040
Kondratiev, Yuri; Skorokhod, Anatoli
20
2006
Generic \(q\)-Markov semigroups and speed of convergence of \(q\)-algorithms. Zbl 1115.46055
Accardi, Luigi; Fagnola, Franco; Hachicha, Skander
20
2006
A stochastic Gronwall lemma. Zbl 1271.60056
Scheutzow, Michael
19
2013
A characterization of pure finitely correlated states. Zbl 0972.46041
Matsui, Taku
19
1998
The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator. Zbl 1209.46041
Dhahri, Ameur; Fagnola, Franco; Rebolledo, Rolando
18
2010
Functional Itô versus Banach space stochastic calculus and strict solutions of semilinear path-dependent equations. Zbl 1356.60085
Cosso, Andrea; Russo, Francesco
18
2016
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
Monotone independence, comb graphs and Bose-Einstein condensation. Zbl 1073.81057
Accardi, Luigi; Ghorbal, Anis Ben; Obata, Nobuaki
18
2004
Ultrametric random field. Zbl 1154.60323
Khrennikov, A. Yu.; Kozyrev, S. V.
18
2006
Markov states and chains on the CAR algebra. Zbl 1125.46050
Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh
18
2007
Equilibrium Kawasaki dynamics of continuous particle systems. Zbl 1142.60064
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
18
2007
Smooth probability measures and associated differential operators. Zbl 0936.60052
Smolyanov, O. G.; von Weizsäcker, H.
17
1999
Generalized frames for operators in Hilbert spaces. Zbl 1294.41023
Asgari, Mohammad Sadegh; Rahimi, Hamidreza
17
2014
A new class of white noise generalized functions. Zbl 0918.60027
Cochran, W. G.; Kuo, H.-H.; Sengupta, A.
17
1998
Quantum Markov fields. Zbl 1052.46047
Accardi, Luigi; Fidaleo, Francesco
17
2003
Markovian KMS-states for one-dimensional spin chains. Zbl 1043.82506
Accardi, Luigi; Liebscher, Volkmar
17
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.
17
2002
Two-photon absorption and emission process. Zbl 1095.46041
Fagnola, Franco; Quezada, Roberto
17
2005
Inclusion systems and amalgamated products of product systems. Zbl 1198.46050
Bhat, B. V. Rajarama; Mukherjee, Mithun
17
2010
Time-dependent Dirichlet forms and related stochastic calculus. Zbl 1078.60060
Oshima, Yoichi
17
2004
Moments and commutators of probability measures. Zbl 1139.60330
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
17
2007
Tamed 3D Navier – Stokes equation: existence, uniqueness and regularity. Zbl 1180.35417
Röckner, Michael; Zhang, Xicheng
17
2009
Asymptotic expansions for the Gaussian unitary ensemble. Zbl 1262.60009
Haagerup, Uffe; Thorbjørnsen, Steen
17
2012
Quantum Markov fields on graphs. Zbl 1211.46072
Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh
16
2010
Ultracontractivity and strong Sobolev inequality for \(q\)-Ornstein-Uhlenbeck semigroup \((-1<q<1)\). Zbl 1071.47510
Bożejko, Marek
16
1999
A connection between free and classical infinite divisibility. Zbl 1059.60017
Barndorff-Nielsen, O. E.; Thorbjørnsen, S.
16
2004
Expansion theorems for generalized random processes, Wick products and applications to stochastic differential equations. Zbl 1115.60068
Pilipović, Stevan; Seleši, Dora
16
2007
Unification of independence in quantum probability. Zbl 0928.46044
Lenczewski, Romuald
16
1998
Connections on statistical manifolds of density operators by geometry of noncommutative \(L^p\)-spaces. Zbl 1040.46502
Gibilisco, Paolo; Isola, Tommaso
15
1999
Probability distributions with binomial moments. Zbl 1298.44010
Młotkowski, Wojciech; Penson, Karol A.
15
2014
Renormalized powers of quantum white noise. Zbl 1136.60051
Accardi, Luigi; Boukas, Andreas; Notes, Uwe Franzshort
15
2006
A characterisation of Wigner-Yanase skew information among statistically monotone metrics. Zbl 1041.81011
Gibilisco, Paolo; Isola, Tommaso
15
2001
Extremal decision rules in quantum hypothesis testing. Zbl 1043.81512
Parthasarathy, K. R.
15
1999
Feynman’s operational calculi for noncommuting operators: spectral theory. Zbl 1096.47502
Jefferies, B.; Johnson, G. W.
15
2002
Sufficiency in quantum statistical inference: a survey with examples. Zbl 1108.46045
Jenčová, Anna; Petz, Dénes
15
2006
Monotone convolution and monotone infinite divisibility from complex analytic viewpoint. Zbl 1198.60014
Hasebe, Takahiro
15
2010
Strong Feller continuity of Feller processes and semigroups. Zbl 1258.60047
Schilling, René L.; Wang, Jian
15
2012
Cauchy problems associated with the Lévy Laplacian in white noise analysis. Zbl 0936.46033
Dong Myung Chung; Un Cig Ji; Seitô, Kimiaki
14
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.
14
2010
A scattering theory for Markov chains. Zbl 1243.81104
Kümmerer, Burkhard; Maassen, Hans
14
2000
Continuous-time quantum walks on trees in quantum probability theory. Zbl 1097.60087
Konno, Norio
14
2006
Bi-Poisson process. Zbl 1118.60066
Bryc, Włodzimierz; Wesołowski, Jacek
14
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 closer look at quantum control landscapes and their implication for control optimization. Zbl 1276.81067
De Fouquieres, Pierre; Schirmer, Sophie G.
14
2013
Analysis of the stochastic Fitzhugh-Nagumo system. Zbl 1172.35422
Bonaccorsi, Stefano; Mastrogiacomo, Elisa
14
2008
Algebraic conditions for convergence of a quantum Markov semigroup to a steady state. Zbl 1165.46035
Fagnola, Franco; Rebolledo, Rolando
14
2008
The stochastic Lévy Laplacian and Yang-Mills equation on manifolds. Zbl 1049.58037
Léandre, Rémi; Volovich, Igor A.
13
2001
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
The index of (white) noises and their product systems. Zbl 1119.46051
Skeide, Michael
13
2006
Stochastic heat equation on algebra of generalized functions. Zbl 1278.60106
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh
13
2012
The approach to equilibrium of a class of quantum dynamical semigroups. Zbl 0923.46073
Fagnola, Franco; Rebolledo, Rolando
13
1998
A \(C_0\)-group generated by the Lévy Laplacian. II. Zbl 0936.60058
Saitô, Kimiaki
13
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.
13
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.
12
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
12
2016
Contraction of generalized relative entropy under stochastic mappings on matrices. Zbl 0917.94006
Petz, Dénes; Ruskai, Mary Beth
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
Renormalized traces as a looking glass into infinite-dimensional geometry. Zbl 1039.58022
Paycha, Sylvie
12
2001
Generating functions of exponential type for orthogonal polynomials. Zbl 1053.42027
Kubo, Izumi
12
2004
A simple proof of the fundamental theorem about Arveson systems. Zbl 1105.46047
Skeide, Michael
12
2006
Regularity of solutions to linear stochastic Schrödinger equations. Zbl 1128.60051
Mora, Carlos M.; Rebolledo, Rolando
12
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
12
2011
Infinite divisibility for the conditionally free convolution. Zbl 1147.46041
Krystek, Anna Dorota
12
2007
QWN-Euler operator and associated Cauchy problem. Zbl 1248.60081
Barhoumi, Abdessatar; Ouerdiane, Habib; Rguigui, Hafedh
12
2012
Exotic Laplacians and associated stochastic processes. Zbl 1172.60019
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
12
2009
Regular generalized functions in Gaussian analysis. Zbl 0965.60042
Grothaus, Martin; Kondratiev, Yuri G.; Streit, Ludwig
11
1999
Quantum dynamical entropy for completely positive map. Zbl 0973.46055
Kossakowski, A.; Ohya, M.; Watanabe, N.
11
1999
Construction of Dirichlet forms on standard forms of von Neumann algebras. Zbl 1037.46502
Park, Yong Moon
11
2000
On the uniqueness of the Chentsov metric in quantum information geometry. Zbl 1039.81011
Grasselli, M. R.; Streater, R. F.
11
2001
Adelic path integrals for quadratic Lagrangians. Zbl 1057.81045
Djordjević, Goran S.; Dragovich, Branko; Nešić, Ljubiša
11
2003
Generators of Mehler-type semigroups as pseudo-differential operators. Zbl 1070.47515
Lescot, Paul; Röckner, Michael
11
2002
On Hunt processes and strict capacities associated with generalized Dirichlet forms. Zbl 1104.31006
Trutnau, Gerald
11
2005
A quantum approach to Laplace operators. Zbl 1097.60065
Accardi, Luigi; Barhoumi, Abdessatar; Ouerdiane, Habib
11
2006
Renormalized higher powers of white noise (RHPWN) and conformal field theory. Zbl 1102.81065
Accardi, Luigi; Boukas, Andreas
11
2006
Stochastic properties of degenerated quantum systems. Zbl 1191.35221
Sakbaev, Vsevolod Zh.
11
2010
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions. Zbl 07451477
Heinemann, Rico
1
2021
Stochastic version of Henry type Gronwall’s inequality. Zbl 1481.60043
Mekki, Slimane; Nieto, Juan J.; Ouahab, Abdelghani
1
2021
Quadratic-exponential functionals of Gaussian quantum processes. Zbl 07484156
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R.
1
2021
Quantum Aitchison geometry. Zbl 07362257
Andai, Attila; Lovas, Attila
1
2021
A note concerning Marcinkiewicz integral with rough kernel. Zbl 1466.42010
Gürbüz, Ferit
1
2021
Refined existence and regularity results for a class of semilinear dissipative SPDEs. Zbl 1451.60071
Marinelli, Carlo; Scarpa, Luca
5
2020
Construction of \(g\)-fusion frames in Hilbert spaces. Zbl 1454.42029
Sadri, Vahid; Rahimlou, Gholamreza; Ahmadi, Reza; Farfar, Ramazan Zarghami
5
2020
Quantum Markov chains: a unification approach. Zbl 07273416
Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb
5
2020
Space-distribution PDEs for path independent additive functionals of McKean-Vlasov SDEs. Zbl 1461.60051
Ren, Panpan; Wang, Feng-Yu
3
2020
Domains of elliptic operators on sets in Wiener space. Zbl 07220116
Addona, Davide; Cappa, Gianluca; Ferrari, Simone
3
2020
Interacting Fock spaces and subproduct systems. Zbl 07308690
Gerhold, Malte; Skeide, Michael
2
2020
Stability of the Markov (conservativity) property under perturbations. Zbl 1466.46053
Kumar, Dharmendra; Sinha, Kalyan B.; Srivastava, Sachi
2
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
1
2020
Quantum Strassen’s theorem. Zbl 1457.81014
Friedland, Shmuel; Ge, Jingtong; Zhi, Lihong
1
2020
Regularization of cylindrical processes in locally convex spaces. Zbl 1457.60006
Fonseca-Mora, Christian A.
1
2020
Regularity properties of the stochastic flow of a skew fractional Brownian motion. Zbl 1461.60038
Amine, Oussama; Baños, David R.; Proske, Frank
1
2020
Change of variable formulas for non-anticipative functionals. Zbl 1461.60058
Mania, Michael; Tevzadze, Revaz
1
2020
Ergodicity of 3D Leray-\(\alpha\) model with fractional dissipation and degenerate stochastic forcing. Zbl 1447.60108
Li, Shihu; Liu, Wei; Xie, Yingchao
9
2019
Stochastic Navier-Stokes equations perturbed by Lévy noise with hereditary viscosity. Zbl 1421.35252
Mohan, Manil T.; Sritharan, Sivaguru S.
6
2019
Sobolev spaces with respect to a weighted Gaussian measure in infinite dimensions. Zbl 1436.28010
Ferrari, S.
4
2019
Structure and block representation for circulant quantum processes. Zbl 1436.82014
Bolaños-Servin, Jorge R.; Carbone, Raffaella; Quezada, Roberto
3
2019
Irreversible quantum evolution with quadratic generator: review. Zbl 1436.81077
Teretenkov, A. E.
3
2019
The linear stochastic heat equation with Hermite noise. Zbl 1436.60054
Slaoui, Meryem; Tudor, C. A.
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 probability measures in terms of semi-quantum operators. Zbl 1423.81074
Popa, Gabriela; Stan, Aurel I.
2
2019
Lévy differential operators and gauge invariant equations for Dirac and Higgs fields. Zbl 07076786
Volkov, Boris O.
2
2019
A stochastic Gronwall lemma revisited. Zbl 07076792
Makasu, Cloud
2
2019
Convergence theorems for barycentric maps. Zbl 1436.60011
Hiai, Fumio; Lim, Yongdo
1
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.
1
2019
Conditionally monotone independence and the associated products of graphs. Zbl 1451.46053
Lenczewski, Romuald
1
2019
A characterization of quantum Markov semigroups of weak coupling limit type. Zbl 1458.47020
Fagnola, Franco; Quezada, Roberto
1
2019
The \(q q\)-bit (III): symmetric \(q\)-Jordan-Wigner embeddings. Zbl 1478.82006
Accardi, Luigi; Lu, Yun-Gang
1
2019
Classification of globally colorized categories of partitions. Zbl 07039292
Gromada, Daniel
8
2018
Modeling questions for quantum permutations. Zbl 1404.46065
Banica, Teodor; Freslon, Amaury
7
2018
On the existence of \(E_0\)-semigroups – the multiparameter case. Zbl 1402.46047
Murugan, S. P.; Sundar, S.
5
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
Noncommutative Blackwell-Ross martingale inequality. Zbl 1395.46050
Talebi, Ali; Moslehian, Mohammad Sal; Sadeghi, Ghadir
4
2018
Quantum symmetry of graph \(C^\ast\)-algebras associated with connected graphs. Zbl 1412.46082
Joardar, Soumalya; Mandal, Arnab
3
2018
A Hida-Malliavin white noise calculus approach to optimal control. Zbl 1400.60077
Agram, Nacira; Øksendal, Bernt
2
2018
Finiteness of inverse moments of \((m, n, \beta)\)-Laguerre matrices. Zbl 1402.60010
Kumari, Sushma
2
2018
Quantum uncertainty based on metric adjusted skew information. Zbl 1392.94700
Cai, Liang
2
2018
Brownian representations of cylindrical continuous local martingales. Zbl 1391.60127
Yaroslavtsev, Ivan
2
2018
Explicit formula for evolution semigroup for diffusion in Hilbert space. Zbl 1409.35129
Remizov, Ivan D.
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
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
On a gauge action on sigma model solitons. Zbl 1395.58009
Lee, Hyun Ho
1
2018
A note on Gamma Wick products. Zbl 1396.60078
Catrina, Florin; Stan, Aurel I.
1
2018
Charges solve the truncated complex moment problem. Zbl 07039290
Idrissi, K.; Zerouali, E. H.
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
8
2017
Stochastic Lévy differential operators and Yang-Mills equations. Zbl 1393.70045
Volkov, Boris O.
8
2017
Gaussian estimates on networks with dynamic stochastic boundary conditions. Zbl 1366.35205
Cordoni, Francesco; Di Persio, Luca
7
2017
Structure of generic quantum Markov semigroup. Zbl 1366.60097
Carbone, R.; Sasso, E.; Umanità, V.
5
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
Approximating 3D Navier-Stokes equations driven by space-time white noise. Zbl 1386.60230
Zhu, Rongchan; Zhu, Xiangchan
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
Non-commutative stochastic independence and cumulants. Zbl 1381.46057
Manzel, Sarah; Schürmann, Michael
3
2017
Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach. Zbl 06798304
Kontis, V.; Ottobre, M.; Zegarlinski, B.
2
2017
On the fourth moment theorem for complex multiple Wiener-Itô integrals. Zbl 1361.60015
Chen, Yong; Liu, Yong
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
Exponential ergodicity for non-Lipschitz multivalued stochastic differential equations with Lévy jumps. Zbl 1361.60042
Guan, Yue; Wu, Jing
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
Connes embeddability of graph products. Zbl 1361.46044
Caspers, Martijn
5
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
Higher powers of analytical operators and associated \(\ast\)-Lie algebras. Zbl 1342.60117
Ettaieb, Aymen; Khalifa, Narjess Turki; Ouerdiane, Habib; Rguigui, Hafedh
3
2016
Central limit theorem for the solution to the heat equation with moving time. Zbl 1335.60113
Liu, Junfeng; Tudor, Ciprian A.
3
2016
Exponential convergence rates for weighted sums in noncommutative probability space. Zbl 1370.46040
Choi, Byoung Jin; Ji, Un Cig
3
2016
Parametric \(R\)-norm directed-divergence convex function. Zbl 1401.94060
Garg, Dhanesh; Kumar, Satish
2
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
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.
2
2016
Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta distributions. Zbl 1384.60052
Nakamura, Takashi
2
2016
De Rham-Hodge decomposition and vanishing of harmonic forms by derivation operators on the Poisson space. Zbl 1342.60084
Privault, Nicolas
1
2016
Free probability aspect of irreducible meandric systems, and some related observations about meanders. Zbl 1359.46053
Nica, Alexandru
1
2016
Diagonal couplings of quantum Markov chains. Zbl 1370.46042
Kümmerer, Burkhard; Schwieger, Kay
1
2016
An information complexity index for probability measures on \(\mathbb{R}\) with all moments. Zbl 1354.60009
Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed
1
2016
On the spectral distribution of distance-\(k\) graph of free product graphs. Zbl 1351.05138
Arizmendi, Octavio; Gaxiola, Tulio
1
2016
A sharp interpolation between the Hölder and Gaussian Young inequalities. Zbl 1342.60119
Da Pelo, Paolo; Lanconelli, Alberto; Stan, Aurel I.
1
2016
Existence and regularity of the density for solutions of stochastic differential equations with boundary noise. Zbl 1335.60104
Bonaccorsi, Stefano; Zanella, Margherita
1
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
1
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
1
2016
Moment problems in an infinite number of variables. Zbl 1336.44004
Alpay, Daniel; Jorgensen, Palle E. T.; Kimsey, David P.
10
2015
Degenerate SDEs in Hilbert spaces with rough drifts. Zbl 1334.60115
Wang, Feng-Yu; Zhang, Xicheng
10
2015
From particle counting to Gaussian tomography. Zbl 1364.81076
Parthasarathy, K. R.; Sengupta, Ritabrata
8
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.
7
2015
Analysis of generalized Poisson distributions associated with higher Landau levels. Zbl 1333.81454
Demni, Nizar; Mouayn, Zouhair
6
2015
Logarithmic Sobolev inequalities in non-commutative algebras. Zbl 1341.46040
Carbone, Raffaella; Martinelli, Andrea
6
2015
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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
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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
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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)
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9 Category theory; homological algebra (18-XX)
7 History and biography (01-XX)
7 Optics, electromagnetic theory (78-XX)
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6 Several complex variables and analytic spaces (32-XX)
6 Sequences, series, summability (40-XX)
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6 Mechanics of deformable solids (74-XX)
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6 Operations research, mathematical programming (90-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
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2 Commutative algebra (13-XX)
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