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Christoffel deformation of a measure on the real line consists of multipyingthis measure by a squared polynomial having its roots in $\R$. We introduceChristoffel deformations of discrete orthogonal polynomial ensembles byconsidering the Christoffel deformations of the underlying measure, and provethat this construction extends to more general point processes describingdistribution on partitions: the poissonized Plancherel measure and the$z$-measures. These deformations contain the theory of Palm measures, and forexample, explicit formulas for the Palm measures of the poissonized Plancherelmeasure provide a description of the TASEP with initial wedge condition withfrozen particles. We also obtain new formulas for Palm measures of the$z$-measures. The extension to the Plancherel measure is obtained via a limittransition from the Charlier ensemble, while the extension to the $z$-measuresfollows from an analytic continuation argument. A limit procedure starting fromthe non-degenerate $z$-measures leads to a deformation of the Gamma processintroduced by Borodin and Olshanski.

Explicit description of Christoffel deformations and Palm measures of the Plancherel measure, the $z$-measures and the Gamma process