Free and noncommutative probability theory

Lehner, Franz (Co-Investigator (CoI))

Institute of Discrete Mathematics (5050)

Project: Research area

10 Article

10 results

1997

Free operators with operator coefficients
Lehner, F., 1997, In: Colloquium Mathematicum. 74, 2, p. 321-328
Research output: Contribution to journal › Article › peer-review
2002

Free cumulants and enumeration of connected partitions
Lehner, F., 2002, In: European Journal of Combinatorics. 23, 8, p. 1025-1031
Research output: Contribution to journal › Article › peer-review
2003

Cumulants, lattice paths, and orthogonal polynomials
Lehner, F., 2003, In: Discrete Mathematics. 270, p. 177-191
Research output: Contribution to journal › Article › peer-review
Cumulants in noncommutative probability theory II.Generalized Gaussian random variables
Lehner, F., 2003, In: Probability theory and related fields. 127, 3, p. 407-422
Research output: Contribution to journal › Article › peer-review
2004

Cumulants in Noncommutative Probability Theory I. Noncommutative Exchangeability Systems
Lehner, F., 2004, In: Mathematische Zeitschrift. 248, p. 67-100
Research output: Contribution to journal › Article › peer-review
2005

Cumulants in Noncommutative Probability III: Creation and Annihilation Operators on Fock Spaces
Lehner, F., 2005, In: Infinite Dimensional Analysis, Quantum Probability and Related Topics . 8, 3, p. 407-437
Research output: Contribution to journal › Article › peer-review
2006
Cumulants in noncommutative probability theory IV. Noncrossing cumulants: De Finetti's theorem and Lp-inequalities
Lehner, F., 2006, In: Journal of Functional Analysis. 239, p. 214-246
Research output: Contribution to journal › Article › peer-review
2010

Free Infinite Divisibility for Q-Gaussians
Anshelevich, M., Belinschi, S., Bozejko, M. & Lehner, F., 2010, In: Mathematical Research Letters. 17, 5, p. 905-916
Research output: Contribution to journal › Article › peer-review
2011

Cumulants as iterated integrals
Lehner, F., 2011, In: Journal of statistical planning and inference. 141, 4, p. 1448-1454
Research output: Contribution to journal › Article › peer-review
Freeness of Linear and Quadratic Forms in von Neumann Algebras
Lehner, F., 2011, In: Journal of Functional Analysis. 261, 10, p. 2829-2844
Research output: Contribution to journal › Article › peer-review