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F. Alberto Grünbaum

Professor
Research
Primary Research Area: 
Applied Mathematics
Additional Research Areas: 
Mathematical Analysis
Research Interests: 
Analysis, Probability, Integrable systems, Medical imaging
Contact Information
903 Evans Hall
grunbaum [at] math [dot] berkeley [dot] edu
+1 (510) 642-5348
http://math.berkeley.edu/~grunbaum/
Publications
Selected Publications: 
  1. 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?]
  2. Grünbaum, F. Alberto (2010). An urn model associated with Jacobi polynomials. Commun. Appl. Math. Comput. Sci. 5 55-63. [MR] [GS?]
  3. 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?]
  4. 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?]
  5. 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?]
  6. 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?]
  7. 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?]
  8. 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?]
  9. 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?]
  10. 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?]