Tianyi Bai

Chinese Academy of Sciences — China

Mathematics · Physical Sciences

3h-index30citations28works0.12yr avg
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Research Topics

Stochastic processes and statistical mechanics(18), Markov Chains and Monte Carlo Methods(13), Theoretical and Computational Physics(11), Cold Atom Physics and Bose-Einstein Condensates(4), Quantum, superfluid, helium dynamics(3)

Publications28 total

Central limit theorem for the range of critical branching random walk
arXiv (Cornell University)·2025Open Access
UltraLLaDA: Scaling the Context Length to 128K for Diffusion Large Language Models
arXiv (Cornell University)·2025Open Access
Gibbs measures for the repulsive Bose gas
Annales de l Institut Henri Poincaré Probabilités et Statistiques·2025
Minkowski sum of fractal percolation and random sets
Mathematical Proceedings of the Cambridge Philosophical Society·2025Open Access
Proof of off-diagonal long-range order in a mean-field trapped Bose gas via the Feynman–Kac formula
Electronic Journal of Probability·2025Open Access
Branching capacity of a random walk in Z5
Electronic Journal of Probability·2025Open Access
Study on Coherent Structures in Turbulent Channel Flows
2025
Proof of off-diagonal long-range order in a mean-field trapped Bose gas via the Feynman--Kac formula
arXiv (Cornell University)·2024Open Access
Branching capacity of a random walk in $\mathbb Z^5$
arXiv (Cornell University)·2024Open Access
Branching capacity and Brownian snake capacity
arXiv (Cornell University)·2024· 1 citedOpen Access
Convergence in law for the capacity of the range of a critical branching random walk
The Annals of Applied Probability·2023· 5 cited
Gibbs measures for the repulsive Bose gas
arXiv (Cornell University)·2022Open Access
On the Crossing Estimates for Simple Conformal Loop Ensembles
International Mathematics Research Notices·2022· 2 cited
Capacity of the range of tree-indexed random walk
The Annals of Applied Probability·2022· 10 cited
Convergence in law for the capacity of the range of a critical branching random walk
arXiv (Cornell University)·2022· 1 citedOpen Access
Capacity of the Range of Branching Random Walks in Low Dimensions
Proceedings of the Steklov Institute of Mathematics·2022· 1 citedOpen Access
Емкость спектра значений ветвящихся случайных блужданий в пространствах малых размерностей
Труды Математического института им Стеклова·2022· 4 citedOpen Access
Branching Random Walks Conditioned on Particle Numbers
Journal of Statistical Physics·2021· 1 cited
Marches Aléatoires, Branchement, et Arbres
theses.fr (ABES)·2021Open Access
On the crossing estimates for simple conformal loop ensembles
arXiv (Cornell University)·2021Open Access
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Frequent Co-authors

Yueyun Hu(8), Yijun Wan(4), Quirin Vogel(4), Jean‐François Delmas(3), Pierre Rousselin(2), Wolfgang König(2), Tom R. Cottrell(1), Hao Dun-yuan(1), Tala Te(1), Robert J. Brozka(1), G. He(1), Shen Nie(1), Fengqi Zhu(1), Yuankang Zhao(1), Ran Yan(1), Jie Fu(1), Chongxuan Li(1), Binhang Yuan(1), Yueyun Hu(1), Xinxin Chen(1)