## Found 61 Documents (Results 1–61)

100
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MSC:  46L53
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### Scaling limits for the Gibbs states on distance-regular graphs with classical parameters. (English)Zbl 07453208

MSC:  46L53 60F05 05E30
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### Fourth moment theorem and $$q$$-Brownian chaos. (English)Zbl 1278.46054

MSC:  46L53 60F05
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### Freeness with amalgamation, limit theorems and $$S$$-transform in non-commutative probability spaces of type B. (English)Zbl 1213.46063

MSC:  46L54 46L53
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### A generalization of the monotonic and Boolean independence of algebras and applications to probability. (English)Zbl 1192.46060

MSC:  46L53 60F05
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### Notions of independence in quantum probability and spectral analysis of graphs. (English)Zbl 1170.46056

Selected papers on analysis and related topics. Transl. from the Japanese by Hidekazu Tanaka. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3928-7/hbk). Translations. Series 2. American Mathematical Society 223, 115-136 (2008).

### On the convolution for $$q$$-normal elements. (English)Zbl 1190.05020

MSC:  05A30 46L53 60F05
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### A limit theorem for products of free unitary operators. (English)Zbl 1149.46052

MSC:  46L54 46L53 60F05
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### bm-independence and central limit theorems associated with symmetric cones. (English)Zbl 1140.46328

Bozejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. Papers presented at the 9th workshop, Bȩdlewo, Poland, September 29–October 10, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 78, 315-320 (2008).
MSC:  46L53 46L54 81R50

### A projective central limit theorem and interacting Fock space representation for the limit process. (English)Zbl 1140.46324

Bozejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. Papers presented at the 9th workshop, Bȩdlewo, Poland, September 29–October 10, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 78, 69-80 (2008).
MSC:  46L53 60B99

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### A new proof of a quantum central limit theorem for symmetric measures. (English)Zbl 1143.81018

Accardi, Luigi (ed.) et al., Quantum probability and infinite dimensional analysis. Proceedings of the 26th conference, Levico, Italy, 20–26 February 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-851-9/hbk). QP-PQ: Quantum Probability and White Noise Analysis 20, 163-172 (2007).
MSC:  81S25 60F05 46L53

### Monotonic independence associated with partially ordered sets. (English)Zbl 1117.46045

MSC:  46L54 81R50
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### An interacting Fock space with periodic Jacobi parameter obtained from regular graphs in large scale limit. (English)Zbl 1107.46042

Hida, Takeyuki (ed.) et al., Quantum information V. Proceedings of the 5th international conference, Nagoya, Japan, December 17–19, 2001. Hackensack, NJ: World Scientific (ISBN 981-238-585-1/hbk). 121-144 (2006).
MSC:  46L53 05C99

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### Limit theorems for non-commutative random variables. (English)Zbl 1121.46050

MSC:  46L53 60F99 81S25
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### Central limit theorems for Coxeter systems and Artin systems of extra large type. (English)Zbl 1077.46057

MSC:  46L53 46L54
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### A noncommutative version of Kerov’s Gaussian limit for the Plancherel measure of the symmetric group. (English)Zbl 1031.60004

Vershik, A. M. (ed.), Asymptotic combinatorics with applications to mathematical physics. A European mathematical summer school held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001. Berlin: Springer. Lect. Notes Math. 1815, 77-88 (2003).

### Notions of independence in algebraic probability theory and set partition statistics. (English)Zbl 1026.46055

Hida, Takeyuki (ed.) et al., Quantum information IV. Proceedings of the 4th international conference, Meijo Univ., Nagoya, Japan, February 27 - March 1, 2001. Singapore: World Scientific. 49-78 (2002).
MSC:  46L53 81S25 46L54

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### A mixed quantum-classical central limit theorem. (English)Zbl 0948.60011

Alicki, Robert (ed.) et al., Quantum probability. Workshop, Gdańsk, Poland, July 1-6, 1997. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 43, 183-189 (1998).
MSC:  60F05 16W30 46L53
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### New examples of convolutions and non-commutative central limit theorems. (English)Zbl 0936.46050

Alicki, Robert (ed.) et al., Quantum probability. Workshop, Gdańsk, Poland, July 1-6, 1997. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 43, 95-103 (1998).
MSC:  46L53 60F05

MSC:  46L53
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### Convergence of noncommutative triangular arrays of probability measures on a Lie group. (English)Zbl 0897.60007

MSC:  60B15 60F05
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### A remark on the free central limit theorem. (English)Zbl 0881.60022

Reviewer: Ph.Biane (Paris)

### Thinking noncommutatively. (English)Zbl 1050.81569

Bhatia, Rajendra (ed.), Analysis, geometry and probability. Essays in honour of K. R. Parthasarathy. With the assistance of Abhay G. Bhatt. Delhi: Hindustan Book Agency (ISBN 978-81-85931-12-8/hbk; 978-93-80250-87-8/ebook). Texts and Readings in Mathematics 10, 87-124 (1996).
MSC:  81S25 46L53 60F05

### Two non-commutative limit theorems. (English)Zbl 0920.46044

Davies, I. M. (ed.) et al., Stochastic analysis and applications. Proceedings of the 5th Gregynog symposium, Gregynog, Powys, GB, July 9-14, 1995. Singapore: World Scientific. 176-188 (1996).

### Operations on certain non-commutative operator-valued random variables. (English)Zbl 0839.46060

Connes, A. (ed.), Recent advances in operator algebras. Collection of talks given in the conference on operator algebras held in Orléans, France in July 1992. Paris: Société Mathématique de France, Astérisque. 232, 243-275 (1995).

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### Noncommutative central limit theorem for Gibbs temperature states. (English. Ukrainian original)Zbl 0941.46039

Ukr. Math. J. 47, No. 3, 351-359 (1995); translation from Ukr. Mat. Zh. 47, No. 3, 299-306 (1995).
Reviewer: G.F.Us (Kiev)
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### Addition of freely independent random variables. (English)Zbl 0784.46047

MSC:  46L51 46L53 46L54
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### Free noncommutative random variables, random matrices and the $$II_1$$ factors of free groups. (English)Zbl 0928.46045

Accardi, L. (ed.), Quantum probability and related topics: QP-PQ. Volume VI. Singapore: World Scientific Publishing. 473-487 (1991).
MSC:  46L54 46L10 81S25

### Quantum central limit and coarse graining. (English)Zbl 0727.46041

Quantum probability and applications V, Proc. 4th Workshop, Heidelberg/FRG 1988, Lect. Notes Math. 1442, 178-193 (1990).

### Noncommutative version of the central limit theorem and of Cramér’s theorem. (English)Zbl 0746.46060

Stochastic processes and their applications in mathematics and physics, Proc. 3rd Symp., Bielefeld/Ger. 1985, Math. Appl. 61, 187-202 (1990).

### Non-commutative central limits. (English)Zbl 0695.46023

Reviewer: V.Chilin
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### On the weak coupling limit problem. (English)Zbl 0682.60092

Quantum probability and applications IV, Proc. Year, Rome/Italy 1987, Lect. Notes Math. 1396, 20-58 (1989).
Reviewer: A.S.Holevo

### Proof of an algebraic central limit theorem by moment generating functions. (English)Zbl 0637.60034

Stochastic processes - mathematics and physics II, Proc. 2nd BiBoS Symp., Bielefeld/Ger. 1985, Lect. Notes Math. 1250, 342-347 (1987).

### Operator algebras in statistical mechanics and noncommutative probability theory. (English. Russian original)Zbl 0619.46056

J. Sov. Math. 37, 1523-1553 (1987); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 27, 191-228 (1985).
Reviewer: A.Luczak
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### Non-commutative algebraic central limit theorems. (English)Zbl 0616.46056

Probability measures on groups VIII, Proc. 8th Conf., Oberwolfach/Ger. 1985, Lect. Notes Math. 1210, 174-202 (1986).

### Symmetries of some reduced free product $$C^ *$$-algebras. (English)Zbl 0618.46048

Operator algebras and their connections with topology and ergodic theory, Proc. Conf., Buşteni/Rom. 1983, Lect. Notes Math. 1132, 556-588 (1985).
Reviewer: T.V.Panchapagesan

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Reviewer: D.Petz
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### Quantum Ito’s formula and stochastic evolutions. (English)Zbl 0546.60058

MSC:  60H05 60F05 81P20
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