Xi Geng

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All published works

Action	Title	Year	Authors
+ PDF Chat	A coupling between random walks in random environments and Brox's diffusion	2024	Xi Geng Mihai Gradinaru Samy Tindel
+ PDF Chat	Stochastic Domination of Exit Times for Random Walks and Brownian Motion with Drift	2024	Xi Geng Greg Markowsky
+ PDF Chat	On the lack of Gaussian tail for rough line integrals along fractional Brownian paths	2023	Horatio Boedihardjo Xi Geng
+ PDF Chat	Non-degeneracy of stochastic line integrals	2023	Xi Geng Sheng Wang
+ PDF Chat	Precise Local Estimates for Differential Equations driven by Fractional Brownian Motion: Elliptic Case	2022	Xi Geng Cheng Ouyang Samy Tindel
+	$\mathrm{SL}_{2}(\mathbb{R})$-developments and signature asymptotics for planar paths with bounded variation	2022	Horatio Boedihardjo Xi Geng
+ PDF Chat	Precise local estimates for differential equations driven by fractional Brownian motion: Hypoelliptic case	2022	Xi Geng Cheng Ouyang Samy Tindel
+ PDF Chat	When is the Conway–Maxwell–Poisson distribution infinitely divisible?	2021	Xi Geng Aihua Xia
+	Long Time Asymptotics of Heat Kernels and Brownian Winding Numbers on Manifolds with Boundary	2021	Xi Geng Gautam Iyer
+	Path developments and tail asymptotics of signature for pure rough paths	2020	Horatio Boedihardjo Xi Geng Nikolaos Panagiotis Souris
+	Lipschitz-stability of Controlled Rough Paths and Rough Differential Equations	2020	Horatio Boedihardjo Xi Geng
+	SL_2(R)-developments and Signature Asymptotics for Planar Paths with Bounded Variation	2020	Horatio Boedihardjo Xi Geng
+	When Is the Conway-Maxwell-Poisson Distribution Infinitely Divisible?	2020	Xi Geng Aihua Xia
+ PDF Chat	A non-vanishing property for the signature of a path	2019	Horatio Boedihardjo Xi Geng
+	Precise Local Estimates for Hypoelliptic Differential Equations driven by Fractional Brownian Motions	2019	Xi Geng Cheng Ouyang Samy Tindel
+	Path Developments and Tail Asymptotics of Signature for Pure Rough Paths	2018	Horatio Boedihardjo Xi Geng Nikolaos Panagiotis Souris
+	The Tail Asymptotics for the Signatures of some Pure Rough Paths	2018	Horatio Boedihardjo Xi Geng Nikolaos Panagiotis Souris
+ PDF Chat	Tail asymptotics of the Brownian signature	2018	Horatio Boedihardjo Xi Geng
+	Long Time Asymptotics of Heat Kernels and Brownian Winding Numbers on Manifolds with Boundary	2018	Xi Geng Gautam Iyer
+	A Non-vanishing Property for the Signature of a Path	2018	Horatio Boedihardjo Xi Geng
+	Finite dimensional characteristic functions of Brownian rough path	2017	Xi Geng Zhongmin Qian
+ PDF Chat	Reconstruction for the signature of a rough path	2017	Xi Geng
+	QUASI-SURE EXISTENCE OF GAUSSIAN ROUGH PATHS AND LARGE DEVIATION PRINCIPLES FOR CAPACITIES	2016	Horatio Boedihardjo Xi Geng Zhongmin Qian
+	The signature of a rough path: Uniqueness	2016	Horatio Boedihardjo Xi Geng Terry Lyons Danyu Yang
+	On an inversion theorem for Stratonovich’s signatures of multidimensional diffusion paths	2016	Xi Geng Zhongmin Qian
+	A Quasi-sure Non-degeneracy Property for the Brownian Rough Path	2016	Horatio Boedihardjo Xi Geng Xuan Liu Zhongmin Qian
+	The Tail Asymptotics of the Brownian Signature	2016	Horatio Boedihardjo Xi Geng
+	The uniqueness of signature problem in the non-Markov setting	2015	Horatio Boedihardjo Xi Geng
+	Note on the Signatures of Rough Paths in a Banach Space	2015	Horatio Boedihardjo Xi Geng Terry Lyons Danyu Yang
+ PDF Chat	Simple Piecewise Geodesic Interpolation of Simple and Jordan Curves with Applications	2014	Horatio Boedihardjo Xi Geng
+	On the Uniqueness of Signature Problem through a Strengthened Le Jan-Qian Approximation Scheme	2014	Horatio Boedihardjo Xi Geng
+ PDF Chat	G-Brownian Motion as Rough Paths and Differential Equations Driven by G-Brownian Motion	2014	Xi Geng Zhongmin Qian Danyu Yang
+	The Signature of a Rough Path: Uniqueness	2014	Horatio Boedihardjo Xi Geng Terry Lyons Danyu Yang
+	The Uniqueness of Signature Problem in the Non-Markov Setting	2014	Horatio Boedihardjo Xi Geng
+	Quasi-sure convergence theorem in p-variation distance for Gaussian sample paths	2013	Horatio Boedihardjo Xi Geng Zhongmin Qian
+	On the Uniqueness of Stratonovich's Signatures of Multidimensional Diffusion Paths	2013	Xi Geng Zhan Qian
+	Quasi-sure Existence of Gaussian Rough Paths and Large Deviation Principles for Capacities	2013	Horatio Boedihardjo Xi Geng Zhongmin Qian
+	On an Inversion Theorem for Stratonovich's Signatures of Multidimensional Diffusion Paths	2013	Xi Geng Zhongmin Qian
+	Simple Piecewise Geodesic Interpolation of Simple and Jordan Curves with Applications	2013	Horatio Boedihardjo Xi Geng
+	On the Finite Dimensional Joint Characteristic Function of Lévy's Stochastic Area Processes	2012	Xi Geng Zhongmin Qian
+ PDF Chat	Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws	1991	Constantine M. Dafermos Xi Geng
+	Generalised characteristics in hyperbolic systems of conservation laws with special coupling	1990	Constantine M. Dafermos Xi Geng

Common Coauthors

Coauthor	Papers Together
Horatio Boedihardjo	23
Zhongmin Qian	9
Danyu Yang	4
Samy Tindel	4
Nikolaos Panagiotis Souris	3
Terry Lyons	3
Cheng Ouyang	3
Constantine M. Dafermos	2
Gautam Iyer	2
Aihua Xia	2
Zhan Qian	1
Greg Markowsky	1
Xuan Liu	1
Sheng Wang	1
Mihai Gradinaru	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Differential equations driven by rough signals	1998	Terry Lyons	25
+	Multidimensional Stochastic Processes as Rough Paths	2010	Peter K. Friz Nicolas Victoir	20
+ PDF Chat	Uniqueness for the signature of a path of bounded variation and the reduced path group	2010	Ben Hambly Terry Lyons	19
+	The signature of a rough path: Uniqueness	2016	Horatio Boedihardjo Xi Geng Terry Lyons Danyu Yang	11
+ PDF Chat	Stratonovich’s signatures of Brownian motion determine Brownian sample paths	2012	Yves Le Jan Zhongmin Qian	10
+	Differential Equations Driven by Rough Paths	2007	Terence J. Lyons Michael Caruana Thierry Lévy École d'été de probabilités de Saint-Flour	9
+	Iterated Integrals and Exponential Homomorphisms<sup>†</sup>	1954	Kuo-Tsai Chen	9
+	A variation embedding theorem and applications	2006	Peter K. Friz Nicolas Victoir	7
+ PDF Chat	Inverting the signature of a path	2018	Terry Lyons Weijun Xu	7
+	Introduction to Tensor Products of Banach Spaces	2002	Raymond A. Ryan	6
+ PDF Chat	Reconstruction for the signature of a rough path	2017	Xi Geng	6
+	Multivariate simultaneous approximation	2002	Thomas Bagby Len Bos N. Levenberg	6
+ PDF Chat	An inequality of the Hölder type, connected with Stieltjes integration	1936	Louise Young	6
+	Integration of Paths--A Faithful Representation of Paths by Noncommutative Formal Power Series	1958	Kuo-Tsai Chen	6
+	The uniqueness of signature problem in the non-Markov setting	2015	Horatio Boedihardjo Xi Geng	6
+	Controlling rough paths	2004	Massimiliano Gubinelli	5
+	Hyperbolic development and inversion of signature	2016	Terry Lyons Weijun Xu	5
+ PDF Chat	Differential Equations Driven by Rough Paths: An Approach via Discrete Approximation	2008	A. M. Davie	5
+	None	1999	Laurent Decreusefond Ali Süleyman Üstünel	5
+	Fractional Integrals and Derivatives: Theory and Applications	1993	Stefan Samko Anatoly A. Kilbas O. I. Marichev	5
+ PDF Chat	Super-multiplicativity and a lower bound for the decay of the signature of a path of finite length	2018	Jia-Wei Chang Terry Lyons Hao Ni	5
+	Integration of Paths, Geometric Invariants and a Generalized Baker- Hausdorff Formula	1957	Kuo-Tsai Chen	5
+	Characteristic functions of measures on geometric rough paths	2016	Ilya Chevyrev Terry Lyons	5
+ PDF Chat	Uniqueness of signature for simple curves	2014	Horatio Boedihardjo Hao Ni Zhongmin Qian	5
+	Ramification of rough paths	2009	Massimiliano Gubinelli	4
+ PDF Chat	Stochastic area for Brownian motion on the Sierpinski gasket	1998	Ben Hambly Terry Lyons	4
+ PDF Chat	Iterated path integrals	1977	Kuo-Tsai Chen	4
+	Free Lie Algebras	1993	Christophe Reutenauer	4
+ PDF Chat	On the radius of convergence of the logarithmic signature	2006	Terry Lyons Nadia Sidorova	4
+	On probability laws of solutions to differential systems driven by a fractional Brownian motion	2016	Fabrice Baudoin Eulàlia Nualart Cheng Ouyang Samy Tindel	4
+ PDF Chat	Fractional order Taylor's series and the neo-classical inequality	2010	Keisuke Hara Masanori Hino	4
+	On the integration of weakly geometric rough paths	2016	Thomas Cass Bruce K. Driver Nengli Lim Christian Litterer	4
+ PDF Chat	Differential equations driven by rough signals (I): an extension of an inequality of L. C. Young	1994	Terry Lyons	4
+ PDF Chat	Densities for rough differential equations under Hörmander’s condition	2010	Thomas Cass Peter K. Friz	4
+	Inverting the signature of a path	2014	Terry Lyons Weijun Xu	4
+ PDF Chat	Tail asymptotics of the Brownian signature	2018	Horatio Boedihardjo Xi Geng	3
+	On an Inversion Theorem for Stratonovich's Signatures of Multidimensional Diffusion Paths	2013	Xi Geng Zhongmin Qian	3
+	Stochastic calculus of variations and hypoelliptic operators	1978	Paul Malliavin	3
+	Note on the Signatures of Rough Paths in a Banach Space	2015	Horatio Boedihardjo Xi Geng Terry Lyons Danyu Yang	3
+	On an inversion theorem for Stratonovich’s signatures of multidimensional diffusion paths	2016	Xi Geng Zhongmin Qian	3
+	On the Uniqueness of Stratonovich's Signatures of Multidimensional Diffusion Paths	2013	Xi Geng Zhan Qian	3
+	Varadhan estimates for rough differential equations driven by fractional Brownian motions	2014	Fabrice Baudoin Cheng Ouyang Xuejing Zhang	3
+	A Course on Rough Paths	2014	Peter K. Friz Martin Hairer	3
+	QUASI-SURE EXISTENCE OF BROWNIAN ROUGH PATHS AND A CONSTRUCTION OF BROWNIAN PANTS	2006	Yuzuru Inahama	3
+	Vanishing of one-dimensional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>-cohomologies of loop groups	2011	Shigeki Aida	3
+ PDF Chat	Integration questions related to fractional Brownian motion	2000	Vladas Pipiras Murad S. Taqqu	3
+ PDF Chat	A version of Hörmander’s theorem for the fractional Brownian motion	2007	Fabrice Baudoin Martin Hairer	3
+ PDF Chat	Hypoelliptic second order differential equations	1967	Lars Hörmander	3
+	Smoothness of the density for solutions to Gaussian rough differential equations	2014	Thomas Cass Martin Hairer Christian Litterer Samy Tindel	3
+	The Valuative Tree	2004	Charles Favre Mattias Jönsson	3