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- W4225491262 abstract "Abstract We prove that the boundary of the Hall–Littlewood $t$-deformation of the Gelfand–Tsetlin graph is parametrized by infinite integer signatures, extending results of Gorin [23] and Cuenca [15] on boundaries of related deformed Gelfand–Tsetlin graphs. In the special case when $1/t$ is a prime $p$, we use this to recover results of Bufetov and Qiu [12] and Assiotis [1] on infinite $p$-adic random matrices, placing them in the general context of branching graphs derived from symmetric functions. Our methods rely on explicit formulas for certain skew Hall–Littlewood polynomials. As a separate corollary to these, we obtain a simple expression for the joint distribution of the cokernels of products $A_1, A_2A_1, A_3A_2A_1,ldots $ of independent Haar-distributed matrices $A_i$ over ${mathbb {Z}}_p$, generalizing the explicit formula for the classical Cohen–Lenstra measure." @default.
- W4225491262 created "2022-05-05" @default.
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- W4225491262 date "2022-06-07" @default.
- W4225491262 modified "2023-09-23" @default.
- W4225491262 title "Hall–Littlewood Polynomials, Boundaries, and <i>p</i>-Adic Random Matrices" @default.
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- W4225491262 doi "https://doi.org/10.1093/imrn/rnac143" @default.
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