Roland Speicher
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German mathematician
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Roland Speichermathematics Degrees
Mathematics
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#2890
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Measure Theory
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#2981
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Mathematics
Roland Speicher's Degrees
- PhD Mathematics University of Bonn
Why Is Roland Speicher Influential?
(Suggest an Edit or Addition)According to Wikipedia, Roland Speicher is a German mathematician, known for his work on free probability theory. He is a professor at the Saarland University. After winning the 1979 German national competition Jugend forscht in the field of mathematics and computer science, Speicher studied physics and mathematics at the Universities of Saarbrücken, Freiburg and Heidelberg. He received in 1989 his doctorate from Heidelberg University under the supervision of Wilhelm Freiherr von Waldenfels with thesis Quantenstochastische Prozesse auf der Cuntz-Algebra . From 2000 to 2010 Speicher was a professor at Queen's University in Kingston, Ontario. Since 2010 he is at the University of the Saarland.
Roland Speicher'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
- Lectures on the Combinatorics of Free Probability (2006) (950)
- Combinatorial Theory of the Free Product With Amalgamation and Operator-Valued Free Probability Theory (1998) (455)
- Multiplicative functions on the lattice of non-crossing partitions and free convolution (1994) (365)
- An example of a generalized Brownian motion (1991) (350)
- q-Gaussian Processes: Non-commutative and Classical Aspects (1996) (342)
- Stochastic calculus with respect to free Brownian motion and analysis on Wigner space (1998) (202)
- Convolution and limit theorems for conditionally free random variables (1994) (193)
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces (1994) (193)
- Liberation of orthogonal Lie groups (2008) (183)
- Boolean Convolution (1993) (157)
- On the multiplication of free N-tuples of noncommutative random variables (1996) (153)
- Second order freeness and fluctuations of random matrices: II. Unitary random matrices (2004) (147)
- A new example of ‘independence’ and ‘white noise’ (1990) (147)
- R-diagonal pairs - a common approach to Haar unitaries and circular elements (1996) (128)
- Second order freeness and fluctuations of random matrices: I. Gaussian and Wishart matrices and cyclic Fock spaces (2004) (128)
- Free Probability and Random Matrices (2014) (124)
- Lectures on the Combinatorics of Free Probability: The free commutator (2006) (117)
- Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants (2006) (113)
- Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem (2013) (108)
- Free diffusions, free entropy and free Fisher information (2001) (102)
- Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints (2007) (93)
- A Noncommutative de Finetti Theorem: Invariance under Quantum Permutations is Equivalent to Freeness with Amalgamation (2008) (87)
- Stochastic integration on the Cuntz algebra O (1992) (87)
- Lectures on the Combinatorics of Free Probability: Transforms and models (2006) (84)
- Wigner chaos and the fourth moment (2010) (81)
- Statistical eigen-inference from large Wishart matrices (2007) (78)
- Commutators of free random variables (1996) (76)
- Interpolations between bosonic and fermionic relations given by generalized brownian motions (1996) (74)
- Operator-valued distributions. I. Characterizations of freeness (2001) (73)
- Free Convolution and the Random Sum of Matrices (1993) (66)
- A “Fourier Transform” for Multiplicative Functions on Non-Crossing Partitions (1997) (65)
- De Finetti theorems for easy quantum groups (2009) (65)
- Ψ-INDEPENDENT AND SYMMETRIZED WHITE NOISES (1991) (65)
- On Slow-Fading MIMO Systems With Nonseparable Correlation (2008) (64)
- Generalized statistics of macroscopic fields (1993) (63)
- Applications of Realizations (aka Linearizations) to Free Probability (2015) (58)
- Free Probability Theory (1996) (56)
- Classification results for easy quantum groups (2009) (52)
- R-Cyclic Families of Matrices in Free Probability☆ (2001) (51)
- The normal distribution is -infinitely divisible (2009) (46)
- Continuous family of invariant subspaces for R–diagonal operators (2001) (45)
- Stochastic aspects of easy quantum groups (2009) (42)
- Eigenvalues of non-hermitian random matrices and Brown measure of non-normal operators: hermitian reduction and linearization method (2015) (41)
- Strong Haagerup inequalities for free R-diagonal elements (2005) (40)
- Combinatorics of Free Cumulants (1999) (38)
- FREE PROBABILITY THEORY AND NON-CROSSING PARTITIONS (1997) (38)
- Multiplication of free random variables and the S-transform: the case of vanishing mean (2007) (37)
- R-Diagonal Elements and Freeness With Amalgamation (2001) (36)
- Free Deterministic Equivalents, Rectangular Random Matrix Models, and Operator-Valued Free Probability Theory (2011) (36)
- Orthogonal polynomials and fluctuations of random matrices (2005) (34)
- A non-commutative central limit theorem (1992) (33)
- Sharp bounds for sums associated to graphs of matrices (2009) (33)
- Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension (2015) (29)
- Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem (2016) (29)
- Free Probability Theory and Random Matrices (2003) (28)
- Interpolations between bosonic and fermionic relations given by generalized Brownian motions (1994) (27)
- Multi-dimensional Semicircular Limits on the Free Wigner Chaos (2011) (26)
- Realization of free white noises (1992) (26)
- A CONCEPTUAL PROOF OF A BASIC RESULT IN THE COMBINATORIAL APPROACH TO FREENESS (2000) (25)
- Rigorous mean-field model for coherent-potential approximation: Anderson model with free random variables (1994) (25)
- Spectra of large block matrices (2006) (24)
- Some Minimization Problems for the Free Analogue of the Fisher Information (1998) (24)
- Asymptotic Infinitesimal Freeness with Amalgamation for Haar Quantum Unitary Random Matrices (2009) (24)
- Stochastic integration on the full Fock space with the help of a kernel calculus (1991) (23)
- A self-consistent master equation and a new kind of cumulants (1993) (22)
- Operator-valued free multiplicative convolution: analytic subordination theory and applications to random matrix theory (2012) (22)
- Quantum invariant families of matrices in free probability (2011) (19)
- Quantum groups with partial commutation relations (2016) (19)
- A GENERAL CENTRAL LIMIT THEOREM AND INVARIANCE PRINCIPLE (1994) (17)
- Regular and chaotic behaviour of cardiac cells stimulated at frequencies between 2 and 20 Hz (2004) (16)
- Mixtures of classical and free independence (2016) (16)
- Second order cumulants of products (2007) (16)
- Free Calculus (2001) (15)
- Asymptotic Analysis of Rayleigh Product Channels: A Free Probability Approach (2017) (15)
- Polynomials in Asymptotically Free Random Matrices (2015) (15)
- Maximality of the microstates free entropy for R-diagonal elements (1998) (15)
- Spectra of Hamiltonians with generalized single-site dynamical disorder (1994) (14)
- Operator-Valued and Multivariate Free Berry-Esseen Theorems (2012) (11)
- The free field: zero divisors, Atiyah property and realizations via unbounded operators (2018) (11)
- Physical Applications of Freeness (10)
- SURVEY ON THE STOCHASTIC INTEGRATION ON THE FULL FOCK SPACE (1991) (9)
- The free field: realization via unbounded operators and Atiyah property (2019) (9)
- On the structure of non-commutative white noises (2004) (8)
- Schwinger-Dyson equations: classical and quantum (2013) (8)
- A Characterization of Freeness by a Factorization Property of R-transform (2001) (7)
- Random matrix theory for CPA: generalization of Wegner's n-orbital model (1994) (7)
- Resolvents of R- diagonal operators (2008) (7)
- Absence of algebraic relations and of zero divisors under the assumption of finite non-microstates free Fisher information (2014) (7)
- A Dynamical Version of the SYK Model and the q-Brownian Motion (2019) (6)
- Lecture Notes on "Free Probability Theory". (2019) (6)
- Free Probability Theory and its avatars in representation theory, random matrices, and operator algebras; also featuring: non-commutative distributions (2016) (6)
- Lectures on the Combinatorics of Free Probability: Unitary random matrices (2006) (6)
- Lectures on the Combinatorics of Free Probability: Basic combinatorics II: Möbius inversion (2006) (5)
- Free Probability, Random Matrices, and Representations of Non-commutative Rational Functions (2016) (4)
- On the finite-SNR Diversity-Multiplexing Tradeoff in large Rayleigh product channels (2015) (4)
- On the rate of convergence and Berry-Esseen type theorems for a multivariate free central limit theorem (2007) (4)
- THE LATTICE OF ADMISSIBLE PARTITIONS (1993) (3)
- NON-LINEAR MASTER EQUATION AND NON-CROSSING CUMULANTS (1994) (3)
- Joint global fluctuations of complex Wigner and deterministic matrices (2020) (3)
- Epsilon-noncrossing partitions and cumulants in free probability (2016) (3)
- A dual and conjugate system for q-Gaussians for all q (2022) (2)
- Random matrices and combinatorics (2016) (2)
- Universality of free random variables: atoms for non-commutative rational functions (2021) (2)
- Free Harmonic Analysis (2017) (2)
- Asymptotic Eigenvalue Distribution of Random Matrices and Free Stochastic Analysis (2013) (2)
- The Non-Commutative Cycle Lemma (2009) (2)
- A note on the free and cyclic differential calculus (2019) (2)
- Lectures on the Combinatorics of Free Probability: Gaussian random matrices (2006) (2)
- ST / 0 70 13 14 v 1 11 J an 2 00 7 Statistical eigen-inference from large Wishart matrices (2007) (2)
- Outage Capacity of Rayleigh Product Channels: a Free Probability Approach (2015) (2)
- On the Fluctuation of Mutual Information in Double Scattering MIMO Channels (2014) (2)
- Operator-Valued Free Probability Theory and Block Random Matrices (2017) (1)
- Free Probability and Non-commutative Symmetries (2017) (1)
- Real Algebraic Geometry with a View Toward Hyperbolic Programming and Free Probability (2021) (1)
- Asymptotic Freeness for Gaussian, Wigner, and Unitary Random Matrices (2017) (1)
- Deterministic Equivalents, Polynomials in Free Variables, and Analytic Theory of Operator-Valued Convolution (2017) (1)
- Lectures on the Combinatorics of Free Probability: The R -transform (2006) (1)
- On slow-fading non-separable correlation MIMO systems (2007) (1)
- Asymptotic Freeness of Gaussian Random Matrices (2017) (1)
- Lectures on the Combinatorics of Free Probability: Motivation: free central limit theorem (2006) (1)
- 1 2 D ec 2 00 7 Statistical eigen-inference from large Wishart matrices N (2007) (0)
- The full Fock space model for the R-transform (2006) (0)
- Lectures on the Combinatorics of Free Probability: More about limit theorems and infinitely divisible distributions (2006) (0)
- R – Diagonal Elements and Freeness with Amalgamation Alexandru Nica (1999) (0)
- IT ] 9 O ct 2 00 6 Spectra of large block matrices R . Rashidi (2008) (0)
- Some thoughts on Wilhelm von Waldenfels and on universal second order constructions (2022) (0)
- Lectures on the Combinatorics of Free Probability: Sums of free random variables (2006) (0)
- Ja n 20 07 Statistical eigen-inference from large Wishart matrices (2007) (0)
- Lectures on the Combinatorics of Free Probability: Non-commutative joint distributions (2006) (0)
- Spectra of large block matrices R . Rashidi (2006) (0)
- Definition and basic properties of free independence (2006) (0)
- No 9 POLYNOMIALS IN ASYMPTOTICALLY FREE RANDOM MATRICES ∗ ∗ ∗ (2015) (0)
- Solutions to Exercises (2017) (0)
- Free Entropy χ: The Microstates Approach via Large Deviations (2017) (0)
- Lectures on the Combinatorics of Free Probability: Free product of C *–probability spaces (2006) (0)
- Brief Comparative Genomic Hybridization Detects Novel Deletions and Amplifications in Head and Neck Squamous Cell Carcinomas (2006) (0)
- R-cyclic matrices (2006) (0)
- Lecture Notes on "Non-Commutative Distributions" (2020) (0)
- Free Probability Theory (2016) (0)
- Free Entropy χ ∗ : The Non-microstates Approach via Free Fisher Information (2017) (0)
- I. Characterizations of Freeness (2001) (0)
- Products of free random variables (2006) (0)
- Lectures on the Combinatorics of Free Probability: References (2006) (0)
- Mixtures of classical and free independence (2016) (0)
- Lectures on the Combinatorics of Free Probability: A case study of non-normal distribution (2006) (0)
- The Free Central Limit Theorem and Free Cumulants (2017) (0)
- Lectures on the Combinatorics of Free Probability: Non-commutative probability spaces and distributions (2006) (0)
- Lecture Notes on "Random Matrices" (2020) (0)
- A Short Proof for the Twisted Multiplicativity Property of the Operator-Valued S-transform (2022) (0)
- Fluctuations and Second Order Freeness (2017) (0)
- R-diagonal elements (2006) (0)
- Lectures on the Combinatorics of Free Probability: The operation of boxed convolution (2006) (0)
- Institute for Mathematical Physics R{diagonal Elements and Freeness with Amalgamation R-diagonal Elements and Freeness with Amalgamation (2009) (0)
- Lectures on the Combinatorics of Free Probability: Basic combinatorics I: non-crossing partitions (2006) (0)
- Lectures on the Combinatorics of Free Probability: More on the one-dimensional boxed convolution (2006) (0)
- Ju l 2 01 1 Multidimensional semicircular limits on the free Wigner chaos by (2018) (0)
- Lectures on the Combinatorics of Free Probability: Free cumulants: definition and basic properties (2006) (0)
- Free Group Factors and Freeness (2017) (0)
- Lectures on the Combinatorics of Free Probability: C *-probability spaces (2006) (0)
- White Noises Fulfilling Certain Relations (1992) (0)
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