Dan-Virgil Voiculescu
#14,366
Most Influential Person Now
Romanian mathematician
Dan-Virgil Voiculescu's AcademicInfluence.com Rankings
Dan-Virgil Voiculescumathematics Degrees
Mathematics
#868
World Rank
#1536
Historical Rank
Functional Analysis
#52
World Rank
#69
Historical Rank
Measure Theory
#1495
World Rank
#1866
Historical Rank
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Mathematics
Dan-Virgil Voiculescu's Degrees
- PhD Mathematics University of Bucharest
Why Is Dan-Virgil Voiculescu Influential?
(Suggest an Edit or Addition)According to Wikipedia, Dan-Virgil Voiculescu is a Romanian professor of mathematics at the University of California, Berkeley. He has worked in single operator theory, operator K-theory and von Neumann algebras. More recently, he developed free probability theory.
Dan-Virgil Voiculescu's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Limit laws for Random matrices and free products (1991) (740)
- Free random variables (1992) (659)
- Symmetries of some reduced free product C*-algebras (1985) (627)
- The analogues of entropy and of Fisher's information measure in free probability theory, I (1993) (536)
- Addition of certain non-commuting random variables (1986) (486)
- Free random variables : a noncommutative probability approach to free products with applications to random matrices, operator algebras, and harmonic analysis on free groups (1992) (337)
- The analogues of entropy and of fisher's information measure in free probability theory III: The absence of cartan subalgebras (1996) (262)
- Operator Algebras and their Connections with Topology and Ergodic Theory (1985) (257)
- A strengthened asymptotic freeness result for random matrices with applications to free entropy (1998) (188)
- The analogues of entropy and of Fisher's information measure in free probability theory V. Noncommutative Hilbert Transforms (1998) (158)
- The analogues of entropy and of Fisher's information measure in free probability theory, II (1994) (157)
- Dynamical approximation entropies and topological entropy in operator algebras (1995) (153)
- Representations of AF-algebras and of the group U (∞) (1975) (146)
- A note on quasi-diagonal $C^\ast$-algebras and homotopy (1991) (125)
- Free analysis questions II: The Grassmannian completion and the series expansions at the origin (2008) (120)
- Lévy-Hinčin type theorems for multiplicative and additive free convolution. (1992) (115)
- The coalgebra of the free difference quotient and free probability (2000) (113)
- The Analogues of Entropy and of Fisher's Information Measure in Free Probability Theory: VI. Liberation and Mutual Free Information (1999) (112)
- Superconvergence to the central limit and failure of the Cramér theorem for free random variables (1995) (105)
- Free analysis questions I: duality transform for the coalgebra of ∂X:B (2004) (100)
- Free Probability for Pairs of Faces I (2013) (89)
- Free Entropy (2001) (89)
- A free probability analogue of the Wasserstein metric on the trace-state space (2000) (82)
- On the existence of quasicentral approximate units relative to normed ideals. Part I (1990) (80)
- Around quasidiagonal operators (1993) (77)
- Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXVI - 1996 (1997) (76)
- Free Probability Theory: Random Matrices and von Neumann Algebras (1995) (67)
- Regularity Questions for Free Convolution (1998) (62)
- Property T and Approximation of Operators (1990) (61)
- Almost inductive limit automorphisms and embeddings into AF-algebras (1986) (44)
- Entropy of Bogoliubov automorphisms of the canonical anticommutation relations (1990) (41)
- Free probability for pairs of faces II: $2$-variables bi-free partial $R$-transform and systems with rank $\le1$ commutation (2016) (35)
- Free entropy dimension ≤ 1 for some generators of property T factors of type II1 (1999) (34)
- Free Extreme Values (2005) (30)
- Aspects of free analysis (2008) (26)
- s-Numbers of singular integrals for the invariance of absolutely continuous spectra in fractional dimensions (1990) (25)
- A Note on Cyclic Gradients (2000) (24)
- Free probability and the von Neumann algebrasof free groups (2005) (23)
- Noncommutative random variables and spectral problems in free product $C^*$-algebras (1990) (23)
- The Topological Version of Free Entropy (2002) (23)
- Analytic Subordination Consequences of Free Markovianity (2001) (22)
- Free Noncommutative Random Variables, Random Matrices and the II1 Factors of Free Groups (1991) (22)
- Shannon’s entropy power inequality via restricted minkowski sums (2000) (21)
- Free Probability for Pairs of Faces III: 2-Variables Bi-free Partial S- and T-Transforms (2015) (20)
- Almost normal operators mod Hilbert-Schmidt and the K-theory of the Banach algebras $E\Lambda(\Omega)$ (2011) (18)
- The Analogue of Kuroda’s Theorm for n-tuples (1989) (17)
- Remarks on Hilbert-Schmidt Perturbations of Almost — Normal Operators (1981) (17)
- Perturbations of Operators, Connections with Singular Integrals, Hyperbolicity and Entropy (1992) (17)
- A Note on Quasidiagonal Operators (1988) (17)
- The closure of the similarity orbit of a Hilbert space operator (1982) (16)
- Entropy of dynamical systems and perturbations of operators (1991) (15)
- Hilbert Space Operators Modulo Normed Ideals (2010) (15)
- A survey on representations of the unitary group U( (1982) (15)
- Topics in Modern Operator Theory (1981) (14)
- Countable Degree-1 Saturation of Certain C*-Algebras Which Are Coronas of Banach Algebras (2013) (13)
- The staircase representation of biquasitriangular operators. (1976) (13)
- Free Probability and Operator Algebras (2016) (13)
- Symmetries Arising from Free Probability Theory (2006) (13)
- Advances in Invariant Subspaces and Other Results of Operator Theory : 9th International Conference on Operator Theory, Timişoara, and Herculane (Romania), June 4-14, 1984 (2012) (12)
- Aspects of free probability (2006) (12)
- Entropy of random walks on groups and the Macaev norm (1993) (11)
- Some C∗-algebras which are coronas of non-C∗-Banach algebras (2016) (9)
- Romanian ancient gold objects provenance studies using micro-beam methods: the case of “Pietroasa” hoard (2005) (8)
- Commutants mod normed ideals (2018) (8)
- Free Probability for Pairs of Faces II: 2-Variables Bi-free $R$-Transform and Systems with Rank $\le 1$ Commutation (2013) (8)
- K-Theory and Perturbations of Absolutely Continuous Spectra (2016) (8)
- The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Operators (2013) (6)
- TheK-groups of theC*-algebra of a semicircular family (1993) (6)
- The derivative of order 1/2 of a free convolution by a semicircle distribution (1997) (6)
- Boolean extremes and Dagum distributions (2017) (6)
- Free Probability for Pairs of Faces IV: Bi-free Extremes in the Plane (2015) (6)
- Lebesgue decomposition of functionals and unique preduals for commutants modulo normed ideals (2016) (5)
- Biquasitriangular Operators and Quasisimilarity (1978) (5)
- Free random variables in noncommutative probability theory (1992) (5)
- Recent advances in operator theory and applications (2005) (5)
- A problem on the II₁-factors of Fuchsian groups (1995) (5)
- Entropy-Invariants of Dynamical Systems and Perturbations of Operators (1992) (4)
- The Bi-free Extension of Free Probability (2015) (4)
- Invariant Subspaces and Other Topics (1982) (4)
- Alternative Entropies in Operator Algebras (1994) (4)
- The formula for the quasicentral modulus in the case of spectral measures on fractals (2020) (3)
- A hydrodynamic exercise in free probability: Setting up free Euler equations (2019) (2)
- A remark about supramenability and the Macaev norm (2016) (2)
- Free Probability, Extensions, and Applications (2008) (2)
- The recoil implantation technique developed at the U-120 cyclotron in Bucharest (1999) (2)
- Free Analysis Questions I: Duality Transform for the Coalgebra of $\partial_{X:B}$ (2003) (2)
- PIXE pollution studies across Europe (2004) (2)
- Hybrid Normed Ideal Perturbations of n-Tuples of Operators II: Weak Wave Operators (2017) (2)
- REMARKS ON IDEALS OF THE CALKIN-ALGEBRA FOR CERTAIN SINGULAR ,EXTENSIONS (1981) (2)
- The condenser quasicentral modulus (2021) (1)
- The noncommutative Hilbert transform approach to free entropy (1998) (1)
- On the structure of af—algebras and their representations (1975) (1)
- Free Probability for Pairs of Faces I (2014) (1)
- Appendix: Alternative proofs for the type II free Poisson variables and for the free compression results (1996) (1)
- Miscellaneous on Commutants mod Normed Ideals and Quasicentral Modulus I (2020) (1)
- Convergent sequences in semimetric spaces (2022) (1)
- Some Results and a K-theory Problem about Threshold Commutants mod Normed Ideals. (2019) (1)
- Background and outlook (2016) (1)
- Capacity and the quasicentral modulus (2021) (0)
- Multiplication of freely independent noncommutative random variables (2000) (0)
- Free Probability for Pairs of Faces IV: Bi-free Extremes in the Plane (2015) (0)
- The C*—algebra associated to a direct limit of compact groups (1975) (0)
- The primitive ideals of (A(U( (1975) (0)
- Type III factor representations of U(∞) in antisymmetric tensors (1975) (0)
- Free product factors (1992) (0)
- Random matrices in the large N limit (2000) (0)
- Free Probability Theory (2006) (0)
- Noncommutative probability and operator algebra background (2000) (0)
- Free independence with amalgamation (2000) (0)
- PERTURBATIONS OF OPERATORS, II (2004) (0)
- Free harmonic analysis (1992) (0)
- A deontology of industrialisation and world trade : a view of professional ethics (1990) (0)
- Random matrices and asymptotic freeness (1992) (0)
- Se p 20 01 Analytic Subordination Consequences of Free Markovianity (2002) (0)
- Addition of freely independent noncommutative random variables (2000) (0)
- Generalized canonical form, noncrossing partitions (2000) (0)
- Appendix : Alternative proofsfor the type II free (2007) (0)
- Some basic free processes (2000) (0)
- Some type II∞ factor representations of U(∞) (1975) (0)
- Finite-dimensional Approximations of Discrete Groups (2011) (0)
- Remembrances of Edward G. Effros (2020) (0)
- ENVIRONMENTAL STUDIES IN SOME ROMANIAN REGIONS (1999) (0)
- K-Theory and Perturbations of Absolutely Continuous Spectra (2018) (0)
- R A ] 4 M ay 2 00 0 A Note on Cyclic Gradients (2008) (0)
- Wear rate quantifying in real-time using the charged particle surface activation (1997) (0)
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Dan-Virgil Voiculescu is affiliated with the following schools:
