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math.CO2013★ 1 cited
Laurent Phenomenon Sequences
Joshua Alman, Cesar Cuenca, Jiaoyang Huang
In this paper, we undertake a systematic study of recurrences x_{m+n}x_{m} = P(x_{m+1}, ..., x_{m+n-1}) which exhibit the Laurent phenomenon. Some of the most famous among these se…
math.PR2013
Asymptotic Expansion of Spherical Integral
Jiaoyang Huang
We consider the spherical integral of real symmetric or Hermitian matrices when the rank of one matrix is one. We prove the existence of the full asymptotic expansions of these sph…