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math.PR2015
Curvature dimension bounds on the deltoid model
Dominique Bakry, Olfa Zribi
The deltoid curve in R 2 is the boundary of a domain on which there exist probability measures and orthogonal polynomials for theses measures which are eigenvec-tors of diffusion o…
math.PR2015
Hypergroup properties for the deltoid model
Dominique Bakry, Olfa Zribi
We investigate the hypergroup property for the family of orthogonal polynomials associated with the deltoid curve in the plane, related to the A 2 root system. This provides also t…
math.PR2015
h-Transforms and Orthogonal Polynomials
Dominique Bakry, Olfa Zribi
We describe some examples of classical and explicit h-transforms as particular cases of a general mechanism, which is related to the existence of symmetric diffusion operators havi…