17 citations · 18 across the 3 of their papers we have counts for
3 papers
math.CO2014
TASEP and Planar Binary Trees: A Combinatorial Approach
Xiangyu Cao
We give a simple explanation why the stationary state of the 1D TASEP model with open boundaries is related to the Catalan numbers. Our construction is based on planar binary trees…
math.CO2009★ 17 cited
Möbius transform, moment-angle complexes and Halperin-Carlsson conjecture
Xiangyu Cao, Zhi Lü
In this paper, we give an algebra-combinatorics formula of the Möbius transform for an abstract simplicial complex on in terms of the Betti numbers of the S…
math.GT2009★ 1 cited
Cohomological rigidity and the number of homeomorphism types for small covers over prisms
Xiangyu Cao, Zhi Lü
In this paper, based upon the basic theory for glued manifolds in M.W. Hirsch (1976) \cite[Chapter 8, §2 Gluing Manifolds Together]{h}, we give a method of constructing homeomorphi…