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## Speicher, Roland

Compute Distance To:
 Author ID: speicher.roland Published as: Speicher, Roland; Speicher, R. External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 91 Publications since 1989, including 4 Books 4 Contributions as Editor 1 Further Contribution
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#### Co-Authors

 25 single-authored 10 Mingo, James A. 10 Nica, Alexandru 8 Bozejko, Marek 6 Mai, Tobias 5 Belinschi, Serban Teodor 5 Shlyakhtenko, Dimitri L. 4 Banica, Teodor 4 Śniady, Piotr 4 Voiculescu, Dan-Virgil 3 Biane, Philippe 3 Kemp, Todd A. 3 Neu, Peter 2 Far, Reza Rashidi 2 Guionnet, Alice 2 Helton, John William 2 Köstler, Claus 2 Kümmerer, Burkhard 2 Nourdin, Ivan 2 Peccati, Giovanni 2 Rao, N. Raj 2 Weber, Moritz 1 Armstrong, Craig 1 Aubrun, Guillaume 1 Bryc, Włodzimierz 1 Collins, Benoît 1 Corander, Jukka 1 Ebrahimi-Fard, Kurusch 1 Edelman, Alan Stuart 1 Franz, Uwe 1 Glockner, Peter G. 1 Haagerup, Uffe Valentin 1 Hämäläinen, Jyri 1 Henrion, Didier 1 Krawczyk, Bernadette 1 Kuhlmann, Salma 1 Kusalik, Timothy 1 Lehner, Franz 1 Leinert, Michael 1 Müller, Ralf R. 1 Nowak, Maciej A. 1 Oraby, Tamer F. 1 Patras, Frédéric 1 Schürmann, Michael 1 Skalski, Adam G. 1 Tan, Edward 1 Tarnowski, Wojciech 1 Treilhard, John 1 Vinnikov, Victor 1 Wei, Lu 1 Wilson, Jennifer C. H. 1 Woroudi, Reza 1 Wysoczański, Janusz 1 Zheng, Zhong
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#### Serials

 7 Journal of Functional Analysis 5 Advances in Mathematics 4 Communications in Mathematical Physics 4 IMRN. International Mathematics Research Notices 4 Oberwolfach Reports 3 Pacific Journal of Mathematics 3 Transactions of the American Mathematical Society 3 Probability Theory and Related Fields 2 IEEE Transactions on Information Theory 2 The Annals of Probability 2 Archiv der Mathematik 2 Journal of Combinatorial Theory. Series A 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 American Journal of Mathematics 1 The Annals of Statistics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Memoirs of the American Mathematical Society 1 Probability and Mathematical Statistics 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Algebraic Combinatorics 1 Electronic Communications in Probability 1 Documenta Mathematica 1 Séminaire Lotharingien de Combinatoire 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Acta Physica Polonica B 1 Fields Institute Monographs 1 Lecture Notes in Mathematics 1 London Mathematical Society Lecture Note Series 1 Journal of Physics A: Mathematical and Theoretical 1 Random Matrices: Theory and Applications
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#### Fields

 75 Functional analysis (46-XX) 51 Probability theory and stochastic processes (60-XX) 20 Quantum theory (81-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 6 General and overarching topics; collections (00-XX) 6 Combinatorics (05-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Group theory and generalizations (20-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Associative rings and algebras (16-XX) 2 Numerical analysis (65-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

83 Publications have been cited 2,219 times in 1,010 Documents Cited by Year
Lectures on the combinatorics of free probability. Zbl 1133.60003
Nica, Alexandru; Speicher, Roland
2006
Combinatorial theory of the free product with amalgamation and operator-valued free probability theory. Zbl 0935.46056
Speicher, Roland
1998
An example of a generalized Brownian motion. Zbl 0722.60033
Bożejko, Marek; Speicher, Roland
1991
$$q$$-Gaussian processes: Non-commutative and classical aspects. Zbl 0873.60087
Bożejko, Marek; Kümmerer, Burkhard; Speicher, Roland
1997
Multiplicative functions on the lattice of non-crossing partitions and free convolution. Zbl 0791.06010
Speicher, Roland
1994
Convolution and limit theorems for conditionally free random variables. Zbl 0874.60010
Bożejko, Marek; Leinert, Michael; Speicher, Roland
1996
Liberation of orthogonal Lie groups. Zbl 1247.46064
Banica, Teodor; Speicher, Roland
2009
Boolean convolution. Zbl 0872.46033
Speicher, Roland; Woroudi, Reza
1997
A new example of ‘independence’ and ‘white noise’. Zbl 0671.60109
Speicher, R.
1990
Stochastic calculus with respect to free Brownian motion and analysis on Wigner space. Zbl 0919.60056
Biane, Philippe; Speicher, Roland
1998
Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces. Zbl 0819.20043
Bożejko, Marek; Speicher, Roland
1994
Free probability and random matrices. Zbl 1387.60005
Mingo, James A.; Speicher, Roland
2017
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
1996
A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation. Zbl 1183.81099
Köstler, Claus; Speicher, Roland
2009
On universal products. Zbl 0877.46044
Speicher, Roland
1997
Second order freeness and fluctuations of random matrices. I: Gaussian and Wishart matrices and cyclic Fock spaces. Zbl 1100.46040
Mingo, James A.; Speicher, Roland
2006
Stochastic integration on the Cuntz algebra $${\mathcal O}_ \infty$$. Zbl 0787.46052
Kümmerer, Burkhard; Speicher, Roland
1992
Operator-valued semicircular elements: solving a quadratic matrix equation with positivity constraints. Zbl 1139.15006
Helton, J. William; Far, Reza Rashidi; Speicher, Roland
2007
Free diffusions, free entropy and free Fisher information. Zbl 1020.46018
Biane, Philippe; Speicher, Roland
2001
Free probability theory and non-crossing partitions. Zbl 0887.46036
Speicher, Roland
1997
$$R$$-diagonal pairs. – A common approach to Haar unitaries and circular elements. Zbl 0889.46053
Nica, Alexandru; Speicher, Roland
1997
Classification results for easy quantum groups. Zbl 1208.46068
Banica, Teodor; Curran, Stephen; Speicher, Roland
2010
De Finetti theorems for easy quantum groups. Zbl 1242.46073
Banica, Teodor; Curran, Stephen; Speicher, Roland
2012
Second order freeness and fluctuations of random matrices. II: Unitary random matrices. Zbl 1122.46045
Mingo, James A.; Śniady, Piotr; Speicher, Roland
2007
Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants. Zbl 1123.46047
Collins, Benoît; Mingo, James A.; Śniady, Piotr; Speicher, Roland
2007
Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem. Zbl 1456.60013
Belinschi, Serban T.; Mai, Tobias; Speicher, Roland
2017
Wigner chaos and the fourth moment. Zbl 1277.46033
Kemp, Todd; Nourdin, Ivan; Peccati, Giovanni; Speicher, Roland
2012
Operator-valued distributions. I: Characterizations of freeness. Zbl 1007.46052
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
2002
Commutators of free random variables. Zbl 0968.46053
Nica, Alexandru; Speicher, Roland
1998
$$\psi$$-independent and symmetrized white noises. Zbl 0931.60056
Bozejko, Marek; Speicher, Roland
1991
Statistical eigen-inference from large Wishart matrices. Zbl 1168.62056
Rao, N. Raj; Mingo, James A.; Speicher, Roland; Edelman, Alan
2008
On slow-fading MIMO systems with nonseparable correlation. Zbl 1311.94057
Rashidi Far, Reza; Oraby, Tamer; Bryc, Wlodzimierz; Speicher, Roland
2008
A non-commutative central limit theorem. Zbl 0724.60023
Speicher, Roland
1992
A “Fourier transform” for multiplicative functions on non-crossing partitions. Zbl 0872.06005
Nica, Alexandru; Speicher, Roland
1997
Free convolution and the random sum of matrices. Zbl 0795.46048
Speicher, Roland
1993
Applications of realizations (aka linearizations) to free probability. Zbl 1376.81026
Helton, J. William; Mai, Tobias; Speicher, Roland
2018
Strong Haagerup inequalities for free $$\mathfrak R$$-diagonal elements. Zbl 1128.46024
Kemp, Todd; Speicher, Roland
2007
Interpolations between bosonic and fermionic relations given by generalized Brownian motions. Zbl 0843.60071
Bożejko, Marek; Speicher, Roland
1996
Stochastic aspects of easy quantum groups. Zbl 1236.60008
Banica, Teodor; Curran, Stephen; Speicher, Roland
2011
Generalized statistics of macroscopic fields. Zbl 0850.46022
Speicher, Roland
1993
Combinatorics of free cumulants. Zbl 0966.05003
2000
Stochastic integration on the full Fock space with the help of a kernel calculus. Zbl 0728.60060
Speicher, Roland
1991
The normal distribution is $$\boxplus$$-infinitely divisible. Zbl 1226.46059
Belinschi, Serban T.; Bożejko, Marek; Lehner, Franz; Speicher, Roland
2011
Multiplication of free random variables and the $$S$$-transform: the case of vanishing mean. Zbl 1133.46038
Rao, N. Raj; Speicher, Roland
2007
Continuous family of invariant subspaces for $$R$$-diagonal operators. Zbl 1032.46077
2001
Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem. Zbl 1361.81051
Belinschi, Serban; Nowak, Maciej A.; Speicher, Roland; Tarnowski, Wojciech
2017
Orthogonal polynomials and fluctuations of random matrices. Zbl 1129.46054
Kusalik, Timothy; Mingo, James A.; Speicher, Roland
2007
R-cyclic families of matrices in free probability. Zbl 0998.46030
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
2002
A conceptual proof of a basic result in the combinatorial approach to freeness. Zbl 1045.46041
Speicher, Roland
2000
Quantum invariant families of matrices in free probability. Zbl 1222.46050
Curran, Stephen; Speicher, Roland
2011
Free deterministic equivalents, rectangular random matrix models, and operator-valued free probability theory. Zbl 1263.46053
Speicher, Roland; Vargas, Carlos
2012
Sharp bounds for sums associated to graphs of matrices. Zbl 1250.15036
Mingo, James A.; Speicher, Roland
2012
Eigenvalues of non-Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method. Zbl 1376.15025
Belinschi, Serban T.; Śniady, Piotr; Speicher, Roland
2018
$$R$$-diagonal elements and freeness with amalgamation. Zbl 0990.46040
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
2001
Asymptotic infinitesimal freeness with amalgamation for Haar quantum unitary random matrices. Zbl 1216.46059
Curran, Stephen; Speicher, Roland
2011
Realization of free white noises. Zbl 0724.60104
Glockner, Peter; Schürmann, Michael; Speicher, Roland
1992
Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension. Zbl 1368.46059
Mai, Tobias; Speicher, Roland; Weber, Moritz
2017
Multi-dimensional semicircular limits on the free Wigner chaos. Zbl 1295.46046
Nourdin, Ivan; Peccati, Giovanni; Speicher, Roland
2013
Some minimization problems for the free analogue of the Fisher information. Zbl 0929.46052
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
1999
Second order cumulants of products. Zbl 1186.46067
Mingo, James A.; Speicher, Roland; Tan, Edward
2009
An example of a generalized Brownian motion. II. Zbl 0797.60066
Bożejko, Marek; Speicher, Roland
1992
Mixtures of classical and free independence. Zbl 1364.46059
Speicher, Roland; Wysoczański, Janusz
2016
Rigorous mean-field model for coherent-potential approximation: Anderson model with free random variables. Zbl 1081.82575
Neu, Peter; Speicher, Roland
1995
Maximality of the microstates free entropy for $$R$$-diagonal elements. Zbl 0958.46035
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
1999
Operator-valued free multiplicative convolution: analytic subordination theory and applications to random matrix theory. Zbl 1341.46037
Belinschi, Serban T.; Speicher, Roland; Treilhard, John; Vargas, Carlos
2015
Free probability theory. And its avatars in representation theory, random matrices, and operator algebras; also featuring: non-commutative distributions. Zbl 1408.46062
Speicher, Roland
2017
Free probability theory. Zbl 1241.46039
Speicher, Roland
2011
Physical applications of freeness. Zbl 1253.82042
Speicher, Roland; Neu, Peter
1999
Operator-valued and multivariate free Berry-Esseen theorems. Zbl 1282.46060
Mai, Tobias; Speicher, Roland
2013
Survey on the stochastic integration on the full Fock space. Zbl 0937.60048
Speicher, Roland
1991
Free probability and random matrices. Zbl 1373.46062
Speicher, Roland
2014
Polynomials in asymptotically free random matrices. Zbl 1371.60027
Speicher, Roland
2015
Quantum groups with partial commutation relations. Zbl 1454.46069
Speicher, Roland; Weber, Moritz
2019
Non-commutative Brownian motions. Zbl 1052.46049
Speicher, Roland
2003
Resolvents of $$\mathcal{R}$$-diagonal operators. Zbl 1209.46040
Haagerup, Uffe; Kemp, Todd; Speicher, Roland
2010
Free calculus. Zbl 1101.46044
Speicher, Roland
2003
On the structure of non-commutative white noises. Zbl 1123.46045
Köstler, Claus; Speicher, Roland
2007
Quantenstochastische Prozesse auf der Cuntz-Algebra. (Quantum stochastic processes on the Cuntz-algebra). Zbl 0671.60108
Speicher, Roland
1989
Schwinger-Dyson equations: classical and quantum. Zbl 1287.60013
Mingo, James A.; Speicher, Roland
2013
Free probability theory and random matrices. Zbl 1036.46050
Speicher, R.
2003
Random matrix theory for CPA: Generalization of Wegner’s $$n$$-orbital model. Zbl 0857.60098
Neu, Peter; Speicher, Roland
1995
Asymptotic eigenvalue distribution of random matrices and free stochastic analysis. Zbl 1290.60008
Speicher, Roland
2013
Free probability and non-commutative symmetries. Zbl 1384.81054
Speicher, Roland
2017
Quantum groups with partial commutation relations. Zbl 1454.46069
Speicher, Roland; Weber, Moritz
2019
Applications of realizations (aka linearizations) to free probability. Zbl 1376.81026
Helton, J. William; Mai, Tobias; Speicher, Roland
2018
Eigenvalues of non-Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method. Zbl 1376.15025
Belinschi, Serban T.; Śniady, Piotr; Speicher, Roland
2018
Free probability and random matrices. Zbl 1387.60005
Mingo, James A.; Speicher, Roland
2017
Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem. Zbl 1456.60013
Belinschi, Serban T.; Mai, Tobias; Speicher, Roland
2017
Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem. Zbl 1361.81051
Belinschi, Serban; Nowak, Maciej A.; Speicher, Roland; Tarnowski, Wojciech
2017
Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension. Zbl 1368.46059
Mai, Tobias; Speicher, Roland; Weber, Moritz
2017
Free probability theory. And its avatars in representation theory, random matrices, and operator algebras; also featuring: non-commutative distributions. Zbl 1408.46062
Speicher, Roland
2017
Free probability and non-commutative symmetries. Zbl 1384.81054
Speicher, Roland
2017
Mixtures of classical and free independence. Zbl 1364.46059
Speicher, Roland; Wysoczański, Janusz
2016
Operator-valued free multiplicative convolution: analytic subordination theory and applications to random matrix theory. Zbl 1341.46037
Belinschi, Serban T.; Speicher, Roland; Treilhard, John; Vargas, Carlos
2015
Polynomials in asymptotically free random matrices. Zbl 1371.60027
Speicher, Roland
2015
Free probability and random matrices. Zbl 1373.46062
Speicher, Roland
2014
Multi-dimensional semicircular limits on the free Wigner chaos. Zbl 1295.46046
Nourdin, Ivan; Peccati, Giovanni; Speicher, Roland
2013
Operator-valued and multivariate free Berry-Esseen theorems. Zbl 1282.46060
Mai, Tobias; Speicher, Roland
2013
Schwinger-Dyson equations: classical and quantum. Zbl 1287.60013
Mingo, James A.; Speicher, Roland
2013
Asymptotic eigenvalue distribution of random matrices and free stochastic analysis. Zbl 1290.60008
Speicher, Roland
2013
De Finetti theorems for easy quantum groups. Zbl 1242.46073
Banica, Teodor; Curran, Stephen; Speicher, Roland
2012
Wigner chaos and the fourth moment. Zbl 1277.46033
Kemp, Todd; Nourdin, Ivan; Peccati, Giovanni; Speicher, Roland
2012
Free deterministic equivalents, rectangular random matrix models, and operator-valued free probability theory. Zbl 1263.46053
Speicher, Roland; Vargas, Carlos
2012
Sharp bounds for sums associated to graphs of matrices. Zbl 1250.15036
Mingo, James A.; Speicher, Roland
2012
Stochastic aspects of easy quantum groups. Zbl 1236.60008
Banica, Teodor; Curran, Stephen; Speicher, Roland
2011
The normal distribution is $$\boxplus$$-infinitely divisible. Zbl 1226.46059
Belinschi, Serban T.; Bożejko, Marek; Lehner, Franz; Speicher, Roland
2011
Quantum invariant families of matrices in free probability. Zbl 1222.46050
Curran, Stephen; Speicher, Roland
2011
Asymptotic infinitesimal freeness with amalgamation for Haar quantum unitary random matrices. Zbl 1216.46059
Curran, Stephen; Speicher, Roland
2011
Free probability theory. Zbl 1241.46039
Speicher, Roland
2011
Classification results for easy quantum groups. Zbl 1208.46068
Banica, Teodor; Curran, Stephen; Speicher, Roland
2010
Resolvents of $$\mathcal{R}$$-diagonal operators. Zbl 1209.46040
Haagerup, Uffe; Kemp, Todd; Speicher, Roland
2010
Liberation of orthogonal Lie groups. Zbl 1247.46064
Banica, Teodor; Speicher, Roland
2009
A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation. Zbl 1183.81099
Köstler, Claus; Speicher, Roland
2009
Second order cumulants of products. Zbl 1186.46067
Mingo, James A.; Speicher, Roland; Tan, Edward
2009
Statistical eigen-inference from large Wishart matrices. Zbl 1168.62056
Rao, N. Raj; Mingo, James A.; Speicher, Roland; Edelman, Alan
2008
On slow-fading MIMO systems with nonseparable correlation. Zbl 1311.94057
Rashidi Far, Reza; Oraby, Tamer; Bryc, Wlodzimierz; Speicher, Roland
2008
Operator-valued semicircular elements: solving a quadratic matrix equation with positivity constraints. Zbl 1139.15006
Helton, J. William; Far, Reza Rashidi; Speicher, Roland
2007
Second order freeness and fluctuations of random matrices. II: Unitary random matrices. Zbl 1122.46045
Mingo, James A.; Śniady, Piotr; Speicher, Roland
2007
Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants. Zbl 1123.46047
Collins, Benoît; Mingo, James A.; Śniady, Piotr; Speicher, Roland
2007
Strong Haagerup inequalities for free $$\mathfrak R$$-diagonal elements. Zbl 1128.46024
Kemp, Todd; Speicher, Roland
2007
Multiplication of free random variables and the $$S$$-transform: the case of vanishing mean. Zbl 1133.46038
Rao, N. Raj; Speicher, Roland
2007
Orthogonal polynomials and fluctuations of random matrices. Zbl 1129.46054
Kusalik, Timothy; Mingo, James A.; Speicher, Roland
2007
On the structure of non-commutative white noises. Zbl 1123.46045
Köstler, Claus; Speicher, Roland
2007
Lectures on the combinatorics of free probability. Zbl 1133.60003
Nica, Alexandru; Speicher, Roland
2006
Second order freeness and fluctuations of random matrices. I: Gaussian and Wishart matrices and cyclic Fock spaces. Zbl 1100.46040
Mingo, James A.; Speicher, Roland
2006
Non-commutative Brownian motions. Zbl 1052.46049
Speicher, Roland
2003
Free calculus. Zbl 1101.46044
Speicher, Roland
2003
Free probability theory and random matrices. Zbl 1036.46050
Speicher, R.
2003
Operator-valued distributions. I: Characterizations of freeness. Zbl 1007.46052
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
2002
R-cyclic families of matrices in free probability. Zbl 0998.46030
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
2002
Free diffusions, free entropy and free Fisher information. Zbl 1020.46018
Biane, Philippe; Speicher, Roland
2001
Continuous family of invariant subspaces for $$R$$-diagonal operators. Zbl 1032.46077
2001
$$R$$-diagonal elements and freeness with amalgamation. Zbl 0990.46040
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
2001
Combinatorics of free cumulants. Zbl 0966.05003
2000
A conceptual proof of a basic result in the combinatorial approach to freeness. Zbl 1045.46041
Speicher, Roland
2000
Some minimization problems for the free analogue of the Fisher information. Zbl 0929.46052
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
1999
Maximality of the microstates free entropy for $$R$$-diagonal elements. Zbl 0958.46035
Nica, Alexandru; Shlyakhtenko, Dimitri; Speicher, Roland
1999
Physical applications of freeness. Zbl 1253.82042
Speicher, Roland; Neu, Peter
1999
Combinatorial theory of the free product with amalgamation and operator-valued free probability theory. Zbl 0935.46056
Speicher, Roland
1998
Stochastic calculus with respect to free Brownian motion and analysis on Wigner space. Zbl 0919.60056
Biane, Philippe; Speicher, Roland
1998
Commutators of free random variables. Zbl 0968.46053
Nica, Alexandru; Speicher, Roland
1998
$$q$$-Gaussian processes: Non-commutative and classical aspects. Zbl 0873.60087
Bożejko, Marek; Kümmerer, Burkhard; Speicher, Roland
1997
Boolean convolution. Zbl 0872.46033
Speicher, Roland; Woroudi, Reza
1997
On universal products. Zbl 0877.46044
Speicher, Roland
1997
Free probability theory and non-crossing partitions. Zbl 0887.46036
Speicher, Roland
1997
$$R$$-diagonal pairs. – A common approach to Haar unitaries and circular elements. Zbl 0889.46053
Nica, Alexandru; Speicher, Roland
1997
A “Fourier transform” for multiplicative functions on non-crossing partitions. Zbl 0872.06005
Nica, Alexandru; Speicher, Roland
1997
Convolution and limit theorems for conditionally free random variables. Zbl 0874.60010
Bożejko, Marek; Leinert, Michael; Speicher, Roland
1996
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
1996
Interpolations between bosonic and fermionic relations given by generalized Brownian motions. Zbl 0843.60071
Bożejko, Marek; Speicher, Roland
1996
Rigorous mean-field model for coherent-potential approximation: Anderson model with free random variables. Zbl 1081.82575
Neu, Peter; Speicher, Roland
1995
Random matrix theory for CPA: Generalization of Wegner’s $$n$$-orbital model. Zbl 0857.60098
Neu, Peter; Speicher, Roland
1995
Multiplicative functions on the lattice of non-crossing partitions and free convolution. Zbl 0791.06010
Speicher, Roland
1994
Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces. Zbl 0819.20043
Bożejko, Marek; Speicher, Roland
1994
Free convolution and the random sum of matrices. Zbl 0795.46048
Speicher, Roland
1993
Generalized statistics of macroscopic fields. Zbl 0850.46022
Speicher, Roland
1993
Stochastic integration on the Cuntz algebra $${\mathcal O}_ \infty$$. Zbl 0787.46052
Kümmerer, Burkhard; Speicher, Roland
1992
A non-commutative central limit theorem. Zbl 0724.60023
Speicher, Roland
1992
Realization of free white noises. Zbl 0724.60104
Glockner, Peter; Schürmann, Michael; Speicher, Roland
1992
An example of a generalized Brownian motion. II. Zbl 0797.60066
Bożejko, Marek; Speicher, Roland
1992
An example of a generalized Brownian motion. Zbl 0722.60033
Bożejko, Marek; Speicher, Roland
1991
$$\psi$$-independent and symmetrized white noises. Zbl 0931.60056
Bozejko, Marek; Speicher, Roland
1991
Stochastic integration on the full Fock space with the help of a kernel calculus. Zbl 0728.60060
Speicher, Roland
1991
Survey on the stochastic integration on the full Fock space. Zbl 0937.60048
Speicher, Roland
1991
A new example of ‘independence’ and ‘white noise’. Zbl 0671.60109
Speicher, R.
1990
Quantenstochastische Prozesse auf der Cuntz-Algebra. (Quantum stochastic processes on the Cuntz-algebra). Zbl 0671.60108
Speicher, Roland
1989
all top 5

#### Cited by 823 Authors

 45 Cho, Ilwoo 40 Speicher, Roland 29 Banica, Teodor 25 Collins, Benoît 22 Jørgensen, Palle E. T. 21 Hasebe, Takahiro 21 Nechita, Ion 21 Nica, Alexandru 20 Bozejko, Marek 17 Belinschi, Serban Teodor 17 Bryc, Włodzimierz 17 Weber, Moritz 16 Erdős, László 15 Anshelevich, Michael 15 Arizmendi, Octavio 15 Junge, Marius 15 Lenczewski, Romuald 14 Guionnet, Alice 13 Śniady, Piotr 12 Bose, Arup 12 Dykema, Kenneth J. 12 Kemp, Todd A. 12 Krüger, Torben 11 Lehner, Franz 11 Mingo, James A. 10 Accardi, Luigi 10 Benaych-Georges, Florent 10 Capitaine, Mireille 10 Ejsmont, Wiktor 10 Szpojankowski, Kamil 10 Wysoczański, Janusz 9 Lytvynov, Eugene W. 9 Młotkowski, Wojciech 9 Nourdin, Ivan 9 Wesołowski, Jacek 8 Freslon, Amaury 8 Kargin, Vladislav 8 Köstler, Claus 8 Lu, Yun Gang 8 Popa, Mihai 8 Shlyakhtenko, Dimitri L. 8 Skoufranis, Paul 8 Szabłowski, Paweł Jerzy 8 Voiculescu, Dan-Virgil 7 Brannan, Michael 7 Cébron, Guillaume 7 Deya, Aurélien 7 Gao, Mingchu 7 Götze, Friedrich W. 7 Hazra, Rajat Subhra 7 Liu, Weihua 7 Peccati, Giovanni 7 Schnelli, Kevin 7 Schürmann, Michael 7 Sukochev, Fedor Anatol’evich 7 Xu, Quanhua 7 Yoshida, Hiroaki 6 Biane, Philippe 6 Bichon, Julien 6 Crismale, Vitonofrio 6 Fukuda, Motohisa 6 Krystek, Anna Dorota 6 Proskurin, Daniil P. 6 Schott, René 6 Williams, John D. 6 Zanin, Dmitriy V. 6 Zhong, Ping 5 Alt, Johannes 5 Barndorff-Nielsen, Ole Eiler 5 Bhattacharjee, Monika 5 Bufetov, Alekseĭ Igor’evich 5 Caspers, Martijn 5 Charlesworth, Ian 5 Dahlqvist, Antoine 5 Donati-Martin, Catherine 5 Féray, Valentin 5 Li, Weiming 5 Maassen, Hans 5 Mai, Tobias 5 Male, Camille 5 Nelson, Brent D. 5 Nowak, Maciej A. 5 Raum, Sven 5 Ricard, Éric 5 Tikhomirov, Alexander Nikolaevich 5 Ueda, Yoshimichi 5 Ueda, Yuki 5 Volčič, Jurij 5 Yao, Jianfeng 5 Zeitouni, Ofer 4 Alexeev, Nikita V. 4 Anderson, Greg W. 4 Asai, Nobuhiro 4 Bercovici, Hari 4 Blitvić, Natasha 4 Chakrabarty, Arijit 4 Di Nardo, Elvira 4 Ebrahimi-Fard, Kurusch 4 Février, Maxime 4 Fidaleo, Francesco ...and 723 more Authors
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#### Cited in 188 Serials

 101 Journal of Functional Analysis 74 Infinite Dimensional Analysis, Quantum Probability and Related Topics 51 Communications in Mathematical Physics 37 Advances in Mathematics 35 Journal of Mathematical Physics 35 Probability Theory and Related Fields 28 Journal of Theoretical Probability 27 Transactions of the American Mathematical Society 27 Complex Analysis and Operator Theory 27 Random Matrices: Theory and Applications 26 The Annals of Probability 23 Proceedings of the American Mathematical Society 19 Journal of Mathematical Analysis and Applications 19 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 14 Electronic Journal of Probability 13 Linear Algebra and its Applications 12 Journal of Statistical Physics 11 Statistics & Probability Letters 10 Journal of Combinatorial Theory. Series A 10 Advances in Applied Mathematics 8 The Annals of Statistics 8 Journal of Multivariate Analysis 8 Journal für die Reine und Angewandte Mathematik 7 Illinois Journal of Mathematics 7 Mathematische Zeitschrift 7 International Journal of Mathematics 7 Opuscula Mathematica 7 Bernoulli 7 ALEA. Latin American Journal of Probability and Mathematical Statistics 7 Journal of Noncommutative Geometry 7 Journal of Physics A: Mathematical and Theoretical 6 Reviews in Mathematical Physics 6 Stochastic Processes and their Applications 6 The Electronic Journal of Combinatorics 6 Annales Henri Poincaré 5 Letters in Mathematical Physics 5 Studia Mathematica 5 Journal of Geometry and Physics 5 The Annals of Applied Probability 5 Annales Mathématiques Blaise Pascal 5 Journal of High Energy Physics 5 Analysis & PDE 4 Discrete Mathematics 4 Annales de l’Institut Fourier 4 Archiv der Mathematik 4 Demonstratio Mathematica 4 Inventiones Mathematicae 4 Journal of Algebra 4 Mathematische Annalen 4 Nagoya Mathematical Journal 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Probability and Mathematical Statistics 4 Acta Applicandae Mathematicae 4 Journal of Algebraic Combinatorics 4 Electronic Communications in Probability 4 Algebras and Representation Theory 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Indian Journal of Pure & Applied Mathematics 3 Israel Journal of Mathematics 3 Reports on Mathematical Physics 3 Dissertationes Mathematicae 3 Indiana University Mathematics Journal 3 Journal of Statistical Planning and Inference 3 Memoirs of the American Mathematical Society 3 European Journal of Combinatorics 3 Computational Statistics and Data Analysis 3 Journal of Mathematical Sciences (New York) 3 Selecta Mathematica. New Series 3 Documenta Mathematica 3 Séminaire Lotharingien de Combinatoire 3 Annals of Mathematics. Second Series 3 Acta Mathematica Sinica. English Series 3 Electronic Journal of Statistics 3 Analysis and Mathematical Physics 3 Special Matrices 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Lithuanian Mathematical Journal 2 Linear and Multilinear Algebra 2 Applied Mathematics and Computation 2 Canadian Journal of Mathematics 2 Colloquium Mathematicum 2 Duke Mathematical Journal 2 Glasgow Mathematical Journal 2 Results in Mathematics 2 Acta Mathematica Hungarica 2 Proceedings of the National Academy of Sciences of the United States of America 2 SIAM Journal on Mathematical Analysis 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Expositiones Mathematicae 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Annals of Combinatorics 2 Foundations of Computational Mathematics 2 Journal of Applied Mathematics and Computing 2 Japanese Journal of Mathematics. 3rd Series 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 2 Mathematics 2 Advances in Operator Theory ...and 88 more Serials
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#### Cited in 52 Fields

 604 Functional analysis (46-XX) 457 Probability theory and stochastic processes (60-XX) 196 Linear and multilinear algebra; matrix theory (15-XX) 168 Quantum theory (81-XX) 156 Combinatorics (05-XX) 101 Operator theory (47-XX) 71 Group theory and generalizations (20-XX) 69 Statistics (62-XX) 51 Associative rings and algebras (16-XX) 44 Statistical mechanics, structure of matter (82-XX) 35 Special functions (33-XX) 33 Number theory (11-XX) 29 Nonassociative rings and algebras (17-XX) 26 Information and communication theory, circuits (94-XX) 23 Functions of a complex variable (30-XX) 20 Category theory; homological algebra (18-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 15 Topological groups, Lie groups (22-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Integral transforms, operational calculus (44-XX) 11 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 10 Abstract harmonic analysis (43-XX) 8 Computer science (68-XX) 6 Relativity and gravitational theory (83-XX) 5 Algebraic geometry (14-XX) 5 Measure and integration (28-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 4 Manifolds and cell complexes (57-XX) 4 Biology and other natural sciences (92-XX) 3 Potential theory (31-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 $$K$$-theory (19-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Fluid mechanics (76-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX)

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