Tianyi Bai

activity

20192022

most citedCompressible Velocity Transformations for Various Noncanonical Wall-Bounded Turbulent Flows

44 citations · 47 across the 8 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.PR2021

On the crossing estimates for simple conformal loop ensembles

Tianyi Bai, Yijun Wan

We prove the super-exponential decay of probabilities that there exist $n$ crossings of a given quadrilateral in a simple $CLE_{κ} (Ω)$ , $\frac{8}{3} < κ \leq 4$ , as $n$ goes to in…

math.PR2021

Capacity of the range of branching random walks in low dimensions

Tianyi Bai, Yueyun Hu

Consider a branching random walk $(V_{u})_{u \in T^{I G W}}$ in $Z^{d}$ with the genealogy tree $T^{I G W}$ formed by a sequence of i.i.d. critical Galton-Watson t…

math.PR2021★ 1 cited

Branching random walks conditioned on rarely survival

Tianyi Bai, Pierre Rousselin

In this paper, we show that a Galton-Watson tree conditioned to have a fixed number of particles in generation $n$ converges in distribution as $n \to \infty$ , and with this…