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F. Alberto Grünbaum
Professor Emeritus
Research
Primary Research Area:
Applied Mathematics
Additional Research Areas:
Mathematical Analysis
Research Interests:
Analysis, Probability, Integrable systems, Medical imaging
Contact Information
905 Evans Hall
grunbaum
[at]
math [dot] berkeley [dot] edu
+1 (510) 642-5348
http://math.berkeley.edu/~grunbaum/
Year Appointed:
1974
Retired:
2014
Publications
Selected Publications:
J. Bourgain, F.A. Grünbaum, L. Velázquez and J. Wilkening;
Quantum recurrence of a subspace and operator valued Schur functions,
(on line already) in Comm. Math. Phys. (2014) arXiv: 1302.7286 v1.
F.A. Grünbaum, L. Velázquez, A. Werner and R. Werner;
Recurrence for discrete time unitary evolutions
, Comm. Math. Phys. (320) 2013
F.A. Grünbaum, L. Velázquez,
The quantum walk of F. Riesz
, Foundations of computational mathematics, Budapest 2011, 93-112, London Math. Soc. Lecture Note Ser. 403, Cambridge Univ. Press, Cambridge, 2013.
M.J. Cantero, F.A. Grünbaum, L. Moral, L. Velázquez,
The CGMV method for quantum walks
, Quantum Inf. Process.
11
(2012) 1149-1192.
M.J. Cantero, F.A. Grünbaum, L. Moral, L. Velázquez,
One-dimensional quantum walks with one defect
, Rev. Math. Phys.
24
(2012) 1250002 [52 pages].
M.J. Cantero, F.A. Grünbaum, L. Moral, L. Velázquez,
Matrix valued Szegő polynomials and quantum random walks
, Comm. Pure Appl. Math.
63
(2010) 464-507.
Grünbaum, F. Alberto (2010).
A spectral weight matrix for a discrete version of Walsh's spider.
In
Topics in operator theory. Volume 1. Operators, matrices and analytic functions
Oper. Theory Adv. Appl.
202
253-264 Birkhäuser Verlag Basel. [
MR
] [
GS?
]
Grünbaum, F. Alberto (2010).
An urn model associated with Jacobi polynomials.
Commun. Appl. Math. Comput. Sci.
5
55-63. [
MR
] [
GS?
]
Grünbaum, F. Alberto (2009).
The Karlin-McGregor formula for a variant of a discrete version of Walsh's spider.
J. Phys. A
42
No.45, 454010, 10. [
link
] [
MR
] [
GS?
]
Grünbaum, F. Alberto (2009).
Block tridiagonal matrices and a beefed-up version of the Ehrenfest urn model.
In
Modern analysis and applications. The Mark Krein Centenary Conference. Vol. 1: Operator theory and related topics
Oper. Theory Adv. Appl.
190
267-277 Birkhäuser Verlag Basel. [
link
] [
MR
] [
GS?
]
Durán, Antonio J. and Grünbaum, F. Alberto (2009).
Matrix differential equations and scalar polynomials satisfying higher order recursions.
J. Math. Anal. Appl.
354
No.1, 1-11. [
link
] [
MR
] [
GS?
]
Grünbaum, F. Alberto (2008).
Random walks and orthogonal polynomials: some challenges.
In
Probability, geometry and integrable systems
Math. Sci. Res. Inst. Publ.
55
241-260 Cambridge Univ. Press Cambridge. [
MR
] [
GS?
]
Grünbaum, F. Alberto and de la Iglesia, Manuel D. (2008).
Matrix valued orthogonal polynomials arising from group representation theory and a family of quasi-birth-and-death processes.
SIAM J. Matrix Anal. Appl.
30
No.2, 741-761. [
link
] [
MR
] [
GS?
]
Castro, Mirta M. and Grünbaum, F. Alberto (2008).
The noncommutative bispectral problem for operators of order one.
Constr. Approx.
27
No.3, 329-347. [
link
] [
MR
] [
GS?
]
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