3 papers
math.AG2026
Finite quotients of sousperfectoid adic spaces need not be adic
Xiao-Ming Fu, Tianyang Sun
For every prime and every perfectoid field of characteristic , we construct a geometrically normal sousperfectoid affinoid adic space with a -action whose quotient…
math.PR2026
Sharp asymptotics for the tree-completion time in cylindrical Hastings--Levitov
Xiao-Ming Fu, Tianyang Sun, Yuxuan Zong
Let be the cylindrical Hastings--Levitov aggregation process with parameter on a cylinder of width with particles of fixed size , and let be…
math.PR2026
Power-law and log-periodic degree tails for a family of probability generating function equations arising in evolving networks
Qunqiang Feng, Xiao-Ming Fu, Tianyang Sun
For a fixed integer and , we study the probability generating function (pgf) equation \[ (1+2p)\,g(x)=2p\,x^{j}+g\bigl(x-px+px^{2}\bigr),\qquad 0\le x\le1 , \] which…