T. Sun

collaborators

4 papers

math.AP2026

Compactly supported real scalar potentials realizing the Hardy uncertainty endpoint for Schrödinger evolutions

Xiao-Ming Fu, Tianyang Sun

At the critical Hardy Gaussian weight for the Schrödinger equation in one space dimension on $[0, 1]$ , the known nonzero scalar example in the weighted $L^{2}$ class carries a complex…

math.AG2026

Finite quotients of sousperfectoid adic spaces need not be adic

Xiao-Ming Fu, Tianyang Sun

For every prime $p$ and every perfectoid field $K$ of characteristic $p$ , we construct a geometrically normal sousperfectoid affinoid adic space with a $C_{p}$ -action whose quotient…

math.PR2026

Sharp asymptotics for the tree-completion time in cylindrical Hastings--Levitov $(0)$

Xiao-Ming Fu, Tianyang Sun, Yuxuan Zong

Let $CHL_{N}$ be the cylindrical Hastings--Levitov aggregation process with parameter $0$ on a cylinder of width $N$ with particles of fixed size $λ > 0$ , and let $ω_{N, λ}$ 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 $j \geq 1$ and $0 < p < 1$ , 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…

Compactly supported real scalar potentials realizing the Hardy uncertainty endpoint for Schrödinger evolutions

Finite quotients of sousperfectoid adic spaces need not be adic

Sharp asymptotics for the tree-completion time in cylindrical Hastings--Levitov(0)

Power-law and log-periodic degree tails for a family of probability generating function equations arising in evolving networks

Sharp asymptotics for the tree-completion time in cylindrical Hastings--Levitov $(0)$