BC type z-measures and determinantal point processes

@article{Cuenca2018BCTZ,
  title={BC type z-measures and determinantal point processes},
  author={Cesar Cuenca},
  journal={Advances in Mathematics},
  year={2018}
}
  • Cesar Cuenca
  • Published 24 January 2017
  • Mathematics
  • Advances in Mathematics
View PDF on arXiv
7 Citations
Highly Influential Citations
1
Background Citations
3
Methods Citations
2

7 Citations

Infinite 𝑝-adic random matrices and ergodic decomposition of 𝑝-adic Hua measures
Neretin constructed an analogue of the Hua measures on the infinite $p$-adic matrices $Mat\left(\mathbb{N},\mathbb{Q}_p\right)$. Bufetov and Qiu classified the ergodic measures on…
The Elliptic Tail Kernel
We introduce and study a new family of $q$-translation-invariant determinantal point processes on the two-sided $q$-lattice. We prove that these processes are limits of the $q$–$zw$ measures, which…
Random surface growth and Karlin-McGregor polynomials
We consider consistent dynamics for non-intersecting birth and death chains, originating from dualities of stochastic coalescing flows and one dimensional orthogonal polynomials. As corollaries, we…
Markov processes on the duals to infinite-dimensional classical Lie groups
  • Cesar Cuenca
  • Mathematics
    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
  • 2018
We construct a four parameter (z, z', a, b) family of Markov dynamics that preserve the z-measures on the boundary of the branching graph for classical Lie groups of type B, C, D. Our guiding…
Skew Howe duality and limit shapes of Young diagrams
We consider the skew Howe duality for the action of certain dual pairs of Lie groups (G1, G2) on the exterior algebra ∧ (C ⊗ C) as a probability measure on Young diagrams by the decomposition into…
Macdonald-Level Extension of Beta Ensembles and Large-N Limit Transition
We introduce and study a family of $(q,t)$-deformed discrete $N$-particle beta ensembles, where $q$ and $t$ are the parameters of Macdonald polynomials. The main result is the existence of a…
Elements of the q-Askey Scheme in the Algebra of Symmetric Functions
The classical q-hypergeometric orthogonal polynomials are assembled into a hierarchy called the q-Askey scheme. At the top of the hierarchy, there are two closely related families, the Askey-Wilson…

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TLDR
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