Tianyi Zheng

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All published works

Action	Title	Year	Authors
+ PDF Chat	Infinite stationary measures of measured group actions	2024	Mohammedsaid Alhalimi Tom Hutchcroft Minghao Pan Omer Tamuz Tianyi Zheng
+ PDF Chat	Prime Orbit Theorems for expanding Thurston maps: Genericity of strong non-integrability condition	2024	Zhiqiang Li Tianyi Zheng
+ PDF Chat	Prime orbit theorems for expanding Thurston maps: Lattès maps and split Ruelle operators	2024	Zhiqiang Li Tianyi Zheng
+	On the spectrum of asymptotic entropies of random walks	2024	Omer Tamuz Tianyi Zheng
+ PDF Chat	Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds	2024	Zhiqiang Li Tianyi Zheng
+	Asymptotic behaviors of random walks on countable groups	2023	Tianyi Zheng
+	EnfoMax: Domain Entropy and Mutual Information Maximization for Domain Generalized Face Anti-spoofing	2023	Tianyi Zheng
+	Towards Generalizable Data Protection With Transferable Unlearnable Examples	2023	Bin Fang Bo Li Shuang Wu Tianyi Zheng Shouhong Ding Ran Yi Lizhuang Ma
+	Liouville property for groups and conformal dimension	2023	Nicolás Matte Bon Volodymyr Nekrashevych Tianyi Zheng
+	Furstenberg entropy spectra of stationary actions of semisimple Lie groups	2023	Jérémie Brieussel Tianyi Zheng
+	Vague Convergence and Change of Group Law	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Introduction	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Symmetric Lévy Processes on Nilpotent Groups	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Polynomial Coordinates and Approximate Dilations	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Measures in $$\mathcal {S}\mathcal {M}(\Gamma )$$ and Their Geometries	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Local Limit Theorem	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	The Main Results for Random Walks Driven by Measures in $$\mathcal {S}\mathcal {M}(\Gamma )$$	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Weak Convergence of the Processes	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Adapted Approximate Group Dilations	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Setting the Stage	2023	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds	2023	Zhiqiang Li Tianyi Zheng
+	Prime orbit theorems for expanding Thurston maps: Genericity of strong non-integrability condition	2023	Zhiqiang Li Tianyi Zheng
+	Prime orbit theorems for expanding Thurston maps: Lattès maps and split Ruelle operators	2023	Zhiqiang Li Tianyi Zheng
+ PDF Chat	Long range random walks and associated geometries on groups of polynomial growth	2022	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Growth of groups with linear Schreier graphs	2022	Laurent Bartholdi Volodymyr Nekrashevych Tianyi Zheng
+	Limit theorems for some long range random walks on torsion free nilpotent groups	2022	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+ PDF Chat	Law of large numbers for the drift of the two-dimensional wreath product	2021	Anna Erschler Tianyi Zheng
+	Random walks on the discrete affine group	2021	Jérémie Brieussel Ryokichi Tanaka Tianyi Zheng
+ PDF Chat	Isoperimetric profiles and random walks on some groups defined by piecewise actions	2021	Laurent Saloff‐Coste Tianyi Zheng
+ PDF Chat	Isoperimetric inequalities, shapes of Følner sets and groups with Shalom’s property <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>H</mml:mi> <mml:mi mathvariant="normal">FD</mml:mi> </mml:msub></mml:math>	2021	Anna Erschler Tianyi Zheng
+ PDF Chat	Speed of random walks, isoperimetry and compression of finitely generated groups	2021	Jérémie Brieussel Tianyi Zheng
+ PDF Chat	Occupation measure of random walks and wired spanning forests in balls of Cayley graphs	2020	Russell Lyons Yuval Peres Xin Sun Tianyi Zheng
+	On FC-central extensions of groups of intermediate growth	2020	Tianyi Zheng
+	Isoperimetric profiles and random walks on some groups defined by piecewise actions	2020	Laurent Saloff-Coste-Costeb Tianyi Zheng
+	Law of large numbers for the drift of two-dimensional wreath product	2020	Anna Erschler Tianyi Zheng
+ PDF Chat	Growth of periodic Grigorchuk groups	2019	Anna Erschler Tianyi Zheng
+	On rigid stabilizers and invariant random subgroups of groups of homeomorphisms	2019	Tianyi Zheng
+	On the spectrum of asymptotic entropies of random walks	2019	Omer Tamuz Tianyi Zheng
+	Neretin groups admit no non-trivial invariant random subgroups	2019	Tianyi Zheng
+	Shalom’s property HFD and extensions by ℤ of locally finite groups	2018	Jérémie Brieussel Tianyi Zheng
+ PDF Chat	Random walks among time increasing conductances: heat kernel estimates	2018	Amir Dembo Ruojun Huang Tianyi Zheng
+ PDF Chat	Infinitely supported Liouville measures of Schreier graphs	2018	Kate Juschenko Tianyi Zheng
+ PDF Chat	Isoperimetric profiles and random walks on some permutation wreath products	2018	Laurent Saloff‐Coste Tianyi Zheng
+ PDF Chat	On Groups, Slow Heat Kernel Decay Yields Liouville Property and Sharp Entropy Bounds	2018	Yuval Peres Tianyi Zheng
+	Growth of periodic Grigorchuk groups	2018	Anna Erschler Tianyi Zheng
+	Prime orbit theorems for expanding Thurston maps	2018	Zhiqiang Li Tianyi Zheng
+	Long range random walks and associated geometries on groups of polynomial growth	2018	Zhen-Qing Chen Takashi Kumagai Laurent Saloff‐Coste Jian Wang Tianyi Zheng
+	Isoperimetric inequalities, shape of F{\o}lner sets and groups with Shalom's property ${H_{\mathrm{FD}}}$	2017	Anna Erschler Tianyi Zheng
+ PDF Chat	On Some Random Walks Driven by Spread-Out Measures	2017	Laurent Saloff‐Coste Tianyi Zheng
+	Shalom's property $H_{\mathrm{FD}}$ and extensions by $\mathbb{Z}$ of locally finite groupsJ\'er\'emie Brieussel and Tianyi Zheng	2017	Jérémie Brieussel Tianyi Zheng
+	Random walks on the discrete affine group	2017	Jérémie Brieussel Ryokichi Tanaka Tianyi Zheng
+	Random walks among time increasing conductances: heat kernel estimates	2017	Amir Dembo Ruojun Huang Tianyi Zheng
+	Shalom's property $H_{\mathrm{FD}}$ and extensions by $\mathbb{Z}$ of locally finite groups	2017	Jérémie Brieussel Tianyi Zheng
+	Isoperimetric inequalities, shapes of Følner sets and groups with Shalom's property ${H_{\mathrm{FD}}}$	2017	Anna Erschler Tianyi Zheng
+	Random walks and isoperimetric profiles under moment conditions	2016	Laurent Saloff‐Coste Tianyi Zheng
+	Infinitely supported Liouville measures of Schreier graphs	2016	Kate Juschenko Tianyi Zheng
+	On groups, slow heat kernel decay yields Liouville property and sharp entropy bounds	2016	Yuval Peres Tianyi Zheng
+ PDF Chat	Random walks under slowly varying moment conditions on groups of polynomial volume growth	2015	Laurent Saloff‐Coste Tianyi Zheng
+ PDF Chat	Random walks on nilpotent groups driven by measures supported on powers of generators	2015	Laurent Saloff‐Coste Tianyi Zheng
+	Isoperimetric profiles and random walks on some permutation wreath products	2015	Laurent Saloff‐Coste Tianyi Zheng
+	Random walks under slowly varying moment conditions on groups of polynomial volume growth	2015	Laurent Saloff‐Coste Tianyi Zheng
+	Speed of random walks, isoperimetry and compression of finitely generated groups	2015	Jérémie Brieussel Tianyi Zheng
+	Random walks and isoperimetric profiles under moment conditions	2015	Laurent Saloff‐Coste Tianyi Zheng
+ PDF Chat	Random walks on free solvable groups	2014	Laurent Saloff‐Coste Tianyi Zheng
+	RANDOM WALKS ON SOME CLASSES OF SOLVABLE GROUPS	2013	Tianyi Zheng
+ PDF Chat	Large deviations for stable like random walks on $\mathbb Z^d$ with applications to random walks on wreath products	2013	Laurent Saloff‐Coste Tianyi Zheng
+	Random walks on free solvable groups	2013	Laurent Saloff‐Coste Tianyi Zheng
+	On some random walks driven by spread-out measures	2013	Laurent Saloff‐Coste Tianyi Zheng
+	Random walks on nilpotent groups driven by measures supported on powers of generators	2012	Laurent Saloff‐Coste Tianyi Zheng
+	Large deviations for stable like random walks on $\mathbb Z^d$ with applications to random walks on wreath products	2012	Laurent Saloff‐Coste Tianyi Zheng

Common Coauthors

Coauthor	Papers Together
Laurent Saloff‐Coste	28
Zhen-Qing Chen	14
Takashi Kumagai	14
Jian Wang	9
Jérémie Brieussel	8
Anna Erschler	7
Zhiqiang Li	7
Yuval Peres	3
Omer Tamuz	3
Jian Wang	2
Ryokichi Tanaka	2
Volodymyr Nekrashevych	2
Jian Wang	2
Amir Dembo	2
Kate Juschenko	2
Ruojun Huang	2
Bo Li	1
Tom Hutchcroft	1
Xin Sun	1
Shuang Wu	1
Minghao Pan	1
Laurent Saloff‐Coste	1
Mohammedsaid Alhalimi	1
Shouhong Ding	1
Jian Wang	1
Bin Fang	1
Ran Yi	1
Laurent Saloff-Coste-Costeb	1
Lizhuang Ma	1
Nicolás Matte Bon	1
Russell Lyons	1
Laurent Bartholdi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the stability of the behavior of random walks on groups	2000	Ch. Pittet Laurent Saloff‐Coste	21
+	Ultracontractivity and Nash Type Inequalities	1996	Thierry Coulhon	16
+ PDF Chat	On random walks on wreath products	2002	Christophe Pittet Laurent Saloff‐Coste	15
+ PDF Chat	Random Walks on Discrete Groups: Boundary and Entropy	1983	Vadim A. Kaimanovich Анатолий Моисеевич Вершик	13
+ PDF Chat	Gaussian Estimates for Markov Chains and Random Walks on Groups	1993	Waldemar Hebisch L. Saloff-Coste	13
+	Groups of polynomial growth and expanding maps	1981	Mikhael Gromov	12
+ PDF Chat	A geometric approach to on-diagonal heat kernel lower bounds on groups	2001	Thierry Coulhon Alexander Grigor'yan Christophe Pittet	12
+	Random walks driven by low moment measures	2012	Alexander Bendikov Laurent Saloff‐Coste	10
+ PDF Chat	Isoperimetry for wreath products of Markov chains and multiplicity of selfintersections of random walks	2006	Anna Erschler	10
+ PDF Chat	Isoperimetric profile and random walks on locally compact solvable groups	2013	Romain Tessera	10
+	Piecewise automatic groups	2006	Anna Erschler	10
+ PDF Chat	Random walks on nilpotent groups driven by measures supported on powers of generators	2015	Laurent Saloff‐Coste Tianyi Zheng	10
+ PDF Chat	Asymptotic isoperimetry on groups and uniform embeddings into Banach spaces	2011	Romain Tessera	9
+ PDF Chat	Embeddings of Discrete Groups and the Speed of Random Walks	2008	Assaf Naor Yuval Peres	9
+	Random walks on groups and discrete subordination	2011	Alexander Bendikov L. Saloff‐Coste	9
+	Probability on Trees and Networks	2016	Russell Lyons Yuval Peres	8
+ PDF Chat	On drift and entropy growth for random walks on groups	2003	Anna Erschler	7
+ PDF Chat	A Lower Estimate for Central Probabilities on Polycyclic Groups	1992	Georgios Alexopoulos	7
+ PDF Chat	Isopérimétrie pour les groupes et les variétés	1993	Thierry Coulhon Laurent Saloff‐Coste	7
+ PDF Chat	Large deviations for stable like random walks on $\mathbb Z^d$ with applications to random walks on wreath products	2013	Laurent Saloff‐Coste Tianyi Zheng	6
+ PDF Chat	Speed Exponents of Random Walks on Groups	2016	Gideon Amir Bálint Virág	6
+	Harmonic maps on amenable groups and a diffusive lower bound for random walks	2013	James R. Lee Yuval Peres	6
+	Bernside's problem on periodic groups	1980	Rostislav Grigorchuk	6
+ PDF Chat	Matrix Normalized Sums of Independent Identically Distributed Random Vectors	1986	Philip S. Griffin	6
+	Speed of random walks, isoperimetry and compression of finitely generated groups	2015	Jérémie Brieussel Tianyi Zheng	5
+ PDF Chat	Poisson–Furstenberg boundary of random walks on wreath products and free metabelian groups	2010	Anna Erschler	5
+ PDF Chat	Non-Liouville groups with return probability exponent at most 1/2	2015	Michał Kotowski Bálint Virág	5
+ PDF Chat	Lp compression, traveling salesmen, and stable walks	2011	Assaf Naor Yuval Peres	5
+ PDF Chat	EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS	2004	Erik Guentner Jerome Kaminker	5
+	Spectral distribution and L2-isoperimetric profile of Laplace operators on groups	2011	Alexander Bendikov Christophe Pittet Roman Sauer	5
+ PDF Chat	Bounds on the 𝐿² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality	1988	Gregory F. Lawler Alan D. Sokal	5
+ PDF Chat	Heat kernel estimates for jump processes of mixed types on metric measure spaces	2007	Zhen-Qing Chen Takashi Kumagai	5
+	Random walks and isoperimetric profiles under moment conditions	2016	Laurent Saloff‐Coste Tianyi Zheng	5
+	Symmetric random walks on groups	1959	Harry Kesten	5
+	Isoperimetric profiles and random walks on some permutation wreath products	2015	Laurent Saloff‐Coste Tianyi Zheng	5
+ PDF Chat	Parabolic Harnack inequality and estimates of Markov chains on graphs	1999	Thierry Delmotte	5
+ PDF Chat	Full Banach Mean Values on Countable groups.	1959	Harry Kesten	5
+ PDF Chat	Upper Bounds for Symmetric Markov Transition Functions.	1986	Eric A. Carlen Seiichiro Kusuoka D. W. Stroock	4
+	Harmonic analysis, cohomology, and the large-scale geometry of amenable groups	2004	Yehuda Shalom	4
+	Zeta Functions and Asymptotic Formulae for Preperiodic Orbits of Hyperbolic Rational Maps	1997	Simon Waddington	4
+	None	2003	Anna Erschler	4
+	None	2002	Viviane Baladi Yunping Jiang Hans Henrik Rugh	4
+ PDF Chat	Amenability and non-uniform growth of some directed automorphism groups of a rooted tree	2008	Jérémie Brieussel	4
+ PDF Chat	Random walks on free solvable groups	2014	Laurent Saloff‐Coste Tianyi Zheng	4
+ PDF Chat	On Some Random Walks Driven by Spread-Out Measures	2017	Laurent Saloff‐Coste Tianyi Zheng	4
+ PDF Chat	Milnor's problem on the growth of groups and its consequences	2014	Rostislav Grigorchuk	4
+ PDF Chat	Asymptotic entropy and Green speed for random walks on countable groups	2008	Sébastien Blachère Peter Haı̈ssinsky Pierre Mathieu	4
+ PDF Chat	Entropy and isoperimetry for linear and non-linear group actions	2008	Misha Gromov	4
+ PDF Chat	Lacunary hyperbolic groups	2009	Alexander Olshanskii D. Osin Mark Sapir	4
+ PDF Chat	Closed geodesics and holonomies for Kleinian manifolds	2014	G. A. Margulis Amir Mohammadi Hee Oh	4