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Nica, Alexandru

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Author ID: nica.alexandru Recent zbMATH articles by "Nica, Alexandru"
Published as: Nica, Alexandru; Nica, A.
Homepage: http://www.math.uwaterloo.ca/~anica/
External Links: MGP · dblp
Documents Indexed: 51 Publications since 1983, including 2 Books

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 1,246 times in 849 Documents Cited by Year
Free random variables. A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups. Zbl 0795.46049
Voiculescu, Dan V.; Dykema, K. J.; Nica, A.
418
1992
Lectures on the combinatorics of free probability. Zbl 1133.60003
Nica, Alexandru; Speicher, Roland
356
2006
\(C^*\)-algebras generated by isometries and Wiener-Hopf operators. Zbl 0809.46058
Nica, A.
55
1992
On the multiplication of free \(N\)-tuples of noncommutative random variables. Appendix by D. Voiculescu: Alternative proofs for the type II free Poisson variables and for the free compression results. Zbl 0856.46035
Nica, Alexandru; Speicher, Roland
48
1996
On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution. Zbl 1165.46033
Belinschi, Serban T.; Nica, Alexandru
29
2008
\(R\)-diagonal pairs. – A common approach to Haar unitaries and circular elements. Zbl 0889.46053
Nica, Alexandru; Speicher, Roland
27
1997
\(R\)-transforms of free joint distributions and non-crossing partitions. Zbl 0837.60008
Nica, Alexandru
24
1996
A direct bijection for the Harer-Zagier formula. Zbl 1074.05008
Goulden, I. P.; Nica, A.
22
2005
Operator-valued distributions. I: Characterizations of freeness. Zbl 1007.46052
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
22
2002
Annular noncrossing permutations and partitions, and second-order asymptotics for random matrices. Zbl 1071.05006
Mingo, James A.; Nica, Alexandru
20
2004
Commutators of free random variables. Zbl 0968.46053
Nica, Alexandru; Speicher, Roland
20
1998
A “Fourier transform” for multiplicative functions on non-crossing partitions. Zbl 0872.06005
Nica, Alexandru; Speicher, Roland
18
1997
Non-crossing cumulants of type B. Zbl 1031.46075
Biane, Philippe; Goodman, Frederick; Nica, Alexandru
15
2003
A one-parameter family of transforms, linearizing convolution laws for probability distributions. Zbl 0818.60096
Nica, Alexandru
14
1995
\(\eta\)-series and a Boolean Bercovici–Pata bijection for bounded \(k\)-tuples. Zbl 1129.46052
Belinschi, Serban T.; Nica, Alexandru
13
2008
Double-ended queues and joint moments of left-right canonical operators on full Fock space. Zbl 1328.46054
Mastnak, Mitja; Nica, Alexandru
13
2015
On a groupoid construction for actions of certain inverse semigroups. Zbl 0802.47036
Nica, Alexandru
10
1994
Free Brownian motion and evolution towards \(\boxplus\)-infinite divisibility for \(k\)-tuples. Zbl 1173.46306
Belinschi, Serban T.; Nica, Alexandru
10
2009
Multi-variable subordination distributions for free additive convolution. Zbl 1186.46068
Nica, Alexandru
10
2009
R-cyclic families of matrices in free probability. Zbl 0998.46030
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
9
2002
Convolution powers in the operator-valued framework. Zbl 1277.46031
Anshelevich, Michael; Belinschi, Serban T.; Fevrier, Maxime; Nica, Alexandru
9
2013
Asymptotically free families of random unitaries in symmetric groups. Zbl 0739.46051
Nica, Alexandru
8
1993
On the number of cycles of given length of a free word in several random permutations. Zbl 0808.60018
Nica, Alexandru
8
1994
On the Fock representation of the \(q\)-commutation relations. Zbl 0767.46038
Dykema, Ken; Nica, Alexandru
8
1993
\(R\)-diagonal elements and freeness with amalgamation. Zbl 0990.46040
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
7
2001
Some minimization problems for the free analogue of the Fisher information. Zbl 0929.46052
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
6
1999
Some remarks on the groupoid approach to Wiener-Hopf operators. Zbl 0639.47021
Nica, Alexandru
6
1987
Maximality of the microstates free entropy for \(R\)-diagonal elements. Zbl 0958.46035
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
5
1999
Hopf algebras and the logarithm of the \(S\)-transform in free probability. Zbl 1204.46036
Mastnak, Mitja; Nica, Alexandru
5
2010
Exactness of the Fock space representation of the \(q\)-commutation relations. Zbl 1237.46044
Kennedy, Matthew; Nica, Alexandru
5
2011
Infinitesimal non-crossing cumulants and free probability of type B. Zbl 1198.46048
Février, Maxime; Nica, Alexandru
4
2010
Crossings and embracings of set-partitions and \(q\)-analogues of the logarithm of the Fourier transform. Zbl 0878.05009
Nica, Alexandru
3
1996
On the distribution of the area enclosed by a random walk on \(\mathbb{Z}^2\). Zbl 0919.60015
Mingo, James A.; Nica, Alexandru
3
1998
Posets of annular non-crossing partitions of types B and D. Zbl 1193.05008
Nica, Alexandru; Oancea, Ion
3
2009
On the “quantum disk” and a “non-commutative circle”. Zbl 0813.46066
Nagy, Gabriel; Nica, Alexandru
2
1994
Random unitaries in non-commutative tori, and an asymptotic model for \(q\)-circular systems. Zbl 1034.46059
Mingo, James; Nica, Alexandru
2
2001
\(R\)-diagonal pairs arising as free off-diagonal compression. Zbl 0879.46031
Nica, Alexandru
2
1996
Non-crossing linked partitions, the partial order \(\ll \) on \(NC(n)\), and the \(S\)-transform. Zbl 1201.46060
Nica, Alexandru
2
2010
Enumerative properties of \({\mathit NC}^{(B)}(p,q)\). Zbl 1241.06001
Goulden, I. P.; Nica, Alexandru; Oancea, Ion
1
2011
Crossings of set-partitions and addition of graded-independent random variables. Zbl 0894.46047
Mingo, James A.; Nica, Alexandru
1
1997
Wiener-Hopf operators on the positive semigroup of a Heisenberg group. Zbl 0706.47018
Nica, Alexandru
1
1990
Eta-diagonal distributions and infinite divisibility for R-diagonals. Zbl 1400.46052
Bercovici, Hari; Nica, Alexandru; Noyes, Michael; Szpojankowski, Kamil
1
2018
Free probability aspect of irreducible meandric systems, and some related observations about meanders. Zbl 1359.46053
Nica, Alexandru
1
2016
Eta-diagonal distributions and infinite divisibility for R-diagonals. Zbl 1400.46052
Bercovici, Hari; Nica, Alexandru; Noyes, Michael; Szpojankowski, Kamil
1
2018
Free probability aspect of irreducible meandric systems, and some related observations about meanders. Zbl 1359.46053
Nica, Alexandru
1
2016
Double-ended queues and joint moments of left-right canonical operators on full Fock space. Zbl 1328.46054
Mastnak, Mitja; Nica, Alexandru
13
2015
Convolution powers in the operator-valued framework. Zbl 1277.46031
Anshelevich, Michael; Belinschi, Serban T.; Fevrier, Maxime; Nica, Alexandru
9
2013
Exactness of the Fock space representation of the \(q\)-commutation relations. Zbl 1237.46044
Kennedy, Matthew; Nica, Alexandru
5
2011
Enumerative properties of \({\mathit NC}^{(B)}(p,q)\). Zbl 1241.06001
Goulden, I. P.; Nica, Alexandru; Oancea, Ion
1
2011
Hopf algebras and the logarithm of the \(S\)-transform in free probability. Zbl 1204.46036
Mastnak, Mitja; Nica, Alexandru
5
2010
Infinitesimal non-crossing cumulants and free probability of type B. Zbl 1198.46048
Février, Maxime; Nica, Alexandru
4
2010
Non-crossing linked partitions, the partial order \(\ll \) on \(NC(n)\), and the \(S\)-transform. Zbl 1201.46060
Nica, Alexandru
2
2010
Free Brownian motion and evolution towards \(\boxplus\)-infinite divisibility for \(k\)-tuples. Zbl 1173.46306
Belinschi, Serban T.; Nica, Alexandru
10
2009
Multi-variable subordination distributions for free additive convolution. Zbl 1186.46068
Nica, Alexandru
10
2009
Posets of annular non-crossing partitions of types B and D. Zbl 1193.05008
Nica, Alexandru; Oancea, Ion
3
2009
On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution. Zbl 1165.46033
Belinschi, Serban T.; Nica, Alexandru
29
2008
\(\eta\)-series and a Boolean Bercovici–Pata bijection for bounded \(k\)-tuples. Zbl 1129.46052
Belinschi, Serban T.; Nica, Alexandru
13
2008
Lectures on the combinatorics of free probability. Zbl 1133.60003
Nica, Alexandru; Speicher, Roland
356
2006
A direct bijection for the Harer-Zagier formula. Zbl 1074.05008
Goulden, I. P.; Nica, A.
22
2005
Annular noncrossing permutations and partitions, and second-order asymptotics for random matrices. Zbl 1071.05006
Mingo, James A.; Nica, Alexandru
20
2004
Non-crossing cumulants of type B. Zbl 1031.46075
Biane, Philippe; Goodman, Frederick; Nica, Alexandru
15
2003
Operator-valued distributions. I: Characterizations of freeness. Zbl 1007.46052
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
22
2002
R-cyclic families of matrices in free probability. Zbl 0998.46030
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
9
2002
\(R\)-diagonal elements and freeness with amalgamation. Zbl 0990.46040
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
7
2001
Random unitaries in non-commutative tori, and an asymptotic model for \(q\)-circular systems. Zbl 1034.46059
Mingo, James; Nica, Alexandru
2
2001
Some minimization problems for the free analogue of the Fisher information. Zbl 0929.46052
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
6
1999
Maximality of the microstates free entropy for \(R\)-diagonal elements. Zbl 0958.46035
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
5
1999
Commutators of free random variables. Zbl 0968.46053
Nica, Alexandru; Speicher, Roland
20
1998
On the distribution of the area enclosed by a random walk on \(\mathbb{Z}^2\). Zbl 0919.60015
Mingo, James A.; Nica, Alexandru
3
1998
\(R\)-diagonal pairs. – A common approach to Haar unitaries and circular elements. Zbl 0889.46053
Nica, Alexandru; Speicher, Roland
27
1997
A “Fourier transform” for multiplicative functions on non-crossing partitions. Zbl 0872.06005
Nica, Alexandru; Speicher, Roland
18
1997
Crossings of set-partitions and addition of graded-independent random variables. Zbl 0894.46047
Mingo, James A.; Nica, Alexandru
1
1997
On the multiplication of free \(N\)-tuples of noncommutative random variables. Appendix by D. Voiculescu: Alternative proofs for the type II free Poisson variables and for the free compression results. Zbl 0856.46035
Nica, Alexandru; Speicher, Roland
48
1996
\(R\)-transforms of free joint distributions and non-crossing partitions. Zbl 0837.60008
Nica, Alexandru
24
1996
Crossings and embracings of set-partitions and \(q\)-analogues of the logarithm of the Fourier transform. Zbl 0878.05009
Nica, Alexandru
3
1996
\(R\)-diagonal pairs arising as free off-diagonal compression. Zbl 0879.46031
Nica, Alexandru
2
1996
A one-parameter family of transforms, linearizing convolution laws for probability distributions. Zbl 0818.60096
Nica, Alexandru
14
1995
On a groupoid construction for actions of certain inverse semigroups. Zbl 0802.47036
Nica, Alexandru
10
1994
On the number of cycles of given length of a free word in several random permutations. Zbl 0808.60018
Nica, Alexandru
8
1994
On the “quantum disk” and a “non-commutative circle”. Zbl 0813.46066
Nagy, Gabriel; Nica, Alexandru
2
1994
Asymptotically free families of random unitaries in symmetric groups. Zbl 0739.46051
Nica, Alexandru
8
1993
On the Fock representation of the \(q\)-commutation relations. Zbl 0767.46038
Dykema, Ken; Nica, Alexandru
8
1993
Free random variables. A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups. Zbl 0795.46049
Voiculescu, Dan V.; Dykema, K. J.; Nica, A.
418
1992
\(C^*\)-algebras generated by isometries and Wiener-Hopf operators. Zbl 0809.46058
Nica, A.
55
1992
Wiener-Hopf operators on the positive semigroup of a Heisenberg group. Zbl 0706.47018
Nica, Alexandru
1
1990
Some remarks on the groupoid approach to Wiener-Hopf operators. Zbl 0639.47021
Nica, Alexandru
6
1987
all top 5

Cited by 754 Authors

30 Speicher, Roland
25 Collins, Benoît
24 Banica, Teodor
24 Nica, Alexandru
23 Nechita, Ion
18 Belinschi, Serban Teodor
15 Dykema, Kenneth J.
15 Hasebe, Takahiro
14 Anshelevich, Michael
14 Arizmendi, Octavio
14 Voiculescu, Dan-Virgil
13 Cho, Ilwoo
12 Bozejko, Marek
12 Houdayer, Cyril
12 Junge, Marius
12 Lehner, Franz
11 Capitaine, Mireille
11 Jørgensen, Palle E. T.
11 Śniady, Piotr
10 Kemp, Todd A.
10 Mingo, James A.
10 Shlyakhtenko, Dimitri L.
10 Szpojankowski, Kamil
10 Ueda, Yoshimichi
9 Bose, Arup
9 Ejsmont, Wiktor
9 Guionnet, Alice
9 Kargin, Vladislav
9 Skoufranis, Paul
8 Gao, Mingchu
8 Köstler, Claus
8 Laca, Marcelo
8 Schnelli, Kevin
7 Benaych-Georges, Florent
7 Deya, Aurélien
7 Liu, Weihua
7 Młotkowski, Wojciech
7 Nourdin, Ivan
7 Pisier, Gilles
7 Popa, Mihai
7 Puder, Doron
7 Raeburn, Iain
7 Zhong, Ping
6 Bercovici, Hari
6 Fukuda, Motohisa
6 Haagerup, Uffe Valentin
6 Lenczewski, Romuald
6 Weber, Moritz
6 Wysoczański, Janusz
5 Alpay, Daniel Aron
5 an Huef, Astrid
5 Bhattacharjee, Monika
5 Biane, Philippe
5 Brannan, Michael
5 Bryc, Włodzimierz
5 Bufetov, Alekseĭ Igor’evich
5 Cébron, Guillaume
5 Féray, Valentin
5 Götze, Friedrich W.
5 Lytvynov, Eugene W.
5 Nowak, Maciej A.
5 Peccati, Giovanni
5 Pysiak, Leszek
5 Ricard, Éric
5 Sukochev, Fedor Anatol’evich
5 Thorbjørnsen, Steen
5 Ueda, Yuki
5 Vassilieva, Ekaterina A.
5 Wang, Jiun-Chau
5 Williams, John D.
5 Zanin, Dmitriy V.
4 Anderson, Greg W.
4 Bernardi, Olivier
4 Blitvić, Natasha
4 Brownlowe, Nathan
4 Chapuy, Guillaume
4 Dabrowski, Yoann
4 Ebrahimi-Fard, Kurusch
4 Edelman, Alan Stuart
4 Erdős, László
4 Février, Maxime
4 Freslon, Amaury
4 Gu, Yinzheng
4 Heller, Michał P.
4 Larsen, Nadia S.
4 Li, Boyu
4 Male, Camille
4 Mastnak, Mitja
4 Parcet, Javier
4 Ramagge, Jacqui
4 Sasin, Wiesław
4 Schott, René
4 Sims, Aidan
4 Stammeier, Nicolai
4 Tarrago, Pierre
4 Vaes, Stefaan
4 Yoshida, Hiroaki
4 Zeng, Qiang
3 Afsar, Zahra
3 Alexeev, Nikita V.
...and 654 more Authors
all top 5

Cited in 170 Serials

110 Journal of Functional Analysis
46 Advances in Mathematics
38 Communications in Mathematical Physics
35 Transactions of the American Mathematical Society
30 Journal of Theoretical Probability
29 Probability Theory and Related Fields
28 Infinite Dimensional Analysis, Quantum Probability and Related Topics
26 Proceedings of the American Mathematical Society
24 Journal of Mathematical Physics
22 The Annals of Probability
20 Random Matrices: Theory and Applications
17 Advances in Applied Mathematics
16 Journal of Mathematical Analysis and Applications
15 Journal of Combinatorial Theory. Series A
13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
10 Nuclear Physics. B
9 Complex Analysis and Operator Theory
8 Israel Journal of Mathematics
8 Journal of Statistical Physics
8 Journal of High Energy Physics
7 Illinois Journal of Mathematics
7 Inventiones Mathematicae
7 Electronic Journal of Probability
7 ALEA. Latin American Journal of Probability and Mathematical Statistics
6 Discrete Mathematics
6 The Annals of Statistics
6 Journal für die Reine und Angewandte Mathematik
6 Mathematische Annalen
6 International Journal of Mathematics
6 Linear Algebra and its Applications
6 Acta Mathematica Sinica. English Series
5 Ergodic Theory and Dynamical Systems
5 Statistics & Probability Letters
5 Journal of Algebraic Combinatorics
5 Journal of Mathematical Sciences (New York)
5 Bernoulli
5 Annals of Combinatorics
4 Journal of Geometry and Physics
4 Duke Mathematical Journal
4 Integral Equations and Operator Theory
4 Mathematische Zeitschrift
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Stochastic Processes and their Applications
4 Nuclear Physics, B, Proceedings Supplements
4 Annales Mathématiques Blaise Pascal
4 Annals of Mathematics. Second Series
4 Journal of Physics A: Mathematical and Theoretical
3 International Journal of Theoretical Physics
3 Physica A
3 Studia Mathematica
3 Annales de l’Institut Fourier
3 Journal of Multivariate Analysis
3 Memoirs of the American Mathematical Society
3 Semigroup Forum
3 Probability and Mathematical Statistics
3 Science in China. Series A
3 The Annals of Applied Probability
3 Documenta Mathematica
3 Annales Henri Poincaré
3 Science China. Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal d’Analyse Mathématique
2 Letters in Mathematical Physics
2 Reports on Mathematical Physics
2 Canadian Journal of Mathematics
2 Dissertationes Mathematicae
2 Indiana University Mathematics Journal
2 Journal of Algebra
2 Journal of the London Mathematical Society. Second Series
2 Journal of Pure and Applied Algebra
2 European Journal of Combinatorics
2 Journal of the American Mathematical Society
2 Random Structures & Algorithms
2 Neural Computation
2 Geometric and Functional Analysis. GAFA
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
2 New Zealand Journal of Mathematics
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Russian Mathematics
2 The Electronic Journal of Combinatorics
2 Opuscula Mathematica
2 Electronic Communications in Probability
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Noncommutative Geometry
2 Forum of Mathematics, Sigma
2 Special Matrices
1 General Relativity and Gravitation
1 Journal of Mathematical Biology
1 Lithuanian Mathematical Journal
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. A
1 Physics Reports
1 Theoretical and Mathematical Physics
...and 70 more Serials
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Cited in 51 Fields

571 Functional analysis (46-XX)
313 Probability theory and stochastic processes (60-XX)
137 Linear and multilinear algebra; matrix theory (15-XX)
121 Combinatorics (05-XX)
101 Quantum theory (81-XX)
78 Operator theory (47-XX)
62 Group theory and generalizations (20-XX)
43 Statistics (62-XX)
33 Statistical mechanics, structure of matter (82-XX)
29 Associative rings and algebras (16-XX)
24 Topological groups, Lie groups (22-XX)
23 Dynamical systems and ergodic theory (37-XX)
23 Information and communication theory, circuits (94-XX)
18 Functions of a complex variable (30-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
15 Number theory (11-XX)
15 Special functions (33-XX)
14 Nonassociative rings and algebras (17-XX)
14 Abstract harmonic analysis (43-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
12 Global analysis, analysis on manifolds (58-XX)
9 Computer science (68-XX)
9 Relativity and gravitational theory (83-XX)
8 Category theory; homological algebra (18-XX)
7 Algebraic geometry (14-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Integral transforms, operational calculus (44-XX)
6 Measure and integration (28-XX)
6 Convex and discrete geometry (52-XX)
5 Partial differential equations (35-XX)
5 Differential geometry (53-XX)
5 Numerical analysis (65-XX)
4 \(K\)-theory (19-XX)
4 Ordinary differential equations (34-XX)
4 Manifolds and cell complexes (57-XX)
2 General algebraic systems (08-XX)
2 Potential theory (31-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Difference and functional equations (39-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Fluid mechanics (76-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year