Jianlu Zhang

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All published works

Action	Title	Year	Authors
+	Polynomial convergence rate for quasi-periodic homogenization of Hamilton-Jacobi equations and application to ergodic estimates	2025	Bingyang Hu Son N. T. Tu Jianlu Zhang
+ PDF Chat	On the regularity of stochastic effective Hamiltonian	2024	Son N. T. Tu Jianlu Zhang
+ PDF Chat	Generalized convergence of solutions for nonlinear Hamilton–Jacobi equations with state-constraint	2024	Son N. T. Tu Jianlu Zhang
+ PDF Chat	Polynomial convergence rate for quasiperiodic homogenization of Hamilton-Jacobi equations	2024	Bingyang Hu Son N. T. Tu Jianlu Zhang
+	Convergence of the solutions of the nonlinear discounted Hamilton–Jacobi equation: The central role of Mather measures	2023	Qinbo Chen Albert Fathi Maxime Zavidovique Jianlu Zhang
+ PDF Chat	Parameterized Viscosity Solutions of Convex Hamiltonian Systems with Time Periodic Damping	2023	Ya-Nan Wang Jun Yan Jianlu Zhang
+ PDF Chat	Limit of solutions for semilinear Hamilton–Jacobi equations with degenerate viscosity	2023	Jianlu Zhang
+	Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: The central role of Mather measures	2023	Qinbo Chen Albert Fathi Maxime Zavidovique Jianlu Zhang
+	Generalized convergence of solutions for nonlinear Hamilton-Jacobi equations with state-constraint	2023	Son N. T. Tu Jianlu Zhang
+	On the regularity of stochastic effective Hamiltonian	2023	Son N. T. Tu Jianlu Zhang
+ PDF Chat	On the Negative Limit of Viscosity Solutions for Discounted Hamilton–Jacobi Equations	2022	Ya-Nan Wang Jun Yan Jianlu Zhang
+	Limit of solutions for semilinear Hamilton-Jacobi equations with degenerate viscosity	2022	Jianlu Zhang
+ PDF Chat	On the negative limit of viscosity solutions for discounted Hamilton-Jacobi equations	2021	Yanan Wang Jun Yan Jianlu Zhang
+ PDF Chat	Convergence of Viscosity Solutions of Generalized Contact Hamilton–Jacobi Equations	2021	Ya-Nan Wang Jun Yan Jianlu Zhang
+	Birkhoff iterations and spectral invariants of convex billiard maps	2021	Jianlu Zhang
+	Essential forward weak KAM solution for the convex Hamilton-Jacobi equation	2021	Xifeng Su Jianlu Zhang
+	Parameterized viscosity solutions of convex Hamiltonian systems with time periodic damping	2021	Ya-Nan Wang Jun Yan Jianlu Zhang
+	On the negative limit of viscosity solutions for discounted Hamilton-Jacobi equations	2021	Yanan Wang Jun Yan Jianlu Zhang
+ PDF Chat	Oscillatory orbits in the restricted planar four body problem	2020	Tere M. Seara Jianlu Zhang
+ PDF Chat	Smooth subsolutions of the discounted Hamilton-Jacobi equations	2020	Jin Liang Jianlu Zhang Kai Zhao
+	Global behaviors of weak KAM solutions for exact symplectic twist maps	2020	Jianlu Zhang
+	Global Behaviors of weak KAM Solutions for exact symplectic Twist Maps	2020	Jianlu Zhang
+	Smooth subsolutions of the discounted Hamilton-Jacobi equations	2020	Liang Jin Jianlu Zhang Kai Zhao
+	Spectral invariants of convex billiard maps:a viewpoint of Mather's beta function	2020	Jianlu Zhang
+	Variational attraction of the KAM torus for the conformally symplectic system	2020	Liang Jin Jianlu Zhang Kai Zhao
+ PDF Chat	Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem	2019	Marcel Guàrdia Vadim Kaloshin Jianlu Zhang
+ PDF Chat	Coexistence of period 2 and 3 caustics for deformative nearly circular billiard maps	2019	Jianlu Zhang
+	Geometric Morphometric Analysis of the Morphological Variation among Three Lenoks of Genus Brachymystax in China	2018	Yanxiao Meng Guihua Wang Dongmei Xiong Haixia Liu Xiaolin Liu Lixin Wang Jianlu Zhang
+	Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem	2018	Marcel Guardia Vadim Kaloshin Jianlu Zhang
+	Coexistence of periodic-2 and periodic-3 caustics for nearly circular analytic billiard maps	2017	Vadim Kaloshin Jianlu Zhang
+ PDF Chat	Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion	2017	Jianlu Zhang Ke Zhang
+ PDF Chat	Optimal transportation for generalized Lagrangian	2017	Ji Li Jianlu Zhang
+ PDF Chat	Suspension of the billiard maps in the Lazutkin's coordinate	2017	Jianlu Zhang
+	Generically Mañé set supports uniquely ergodic measure for residual cohomology class	2016	Jianlu Zhang
+	Suspension of the Billiard maps in the Lazutkin's coordinate	2016	Jianlu Zhang
+	Generically Mane set supports uniquely ergodic measure for residual cohomology class	2016	Jianlu Zhang
+	Normally Hyperbolic Invariant Laminations and diffusive behaviour for the generalized Arnold example away from resonances	2015	V. A. Kaloshin Jianlu Zhang Ke Zhang
+	Optimal Transportation for Generalized Lagrangian	2013	Li Ji Jianlu Zhang
+	Asymptotic trajectories of KAM torus	2013	Jianlu Zhang Chong-Qing Cheng
+	Examples of Lagrangian system whose \alpha-function is not differentiable at the boundary of the flat	2012	Jianlu Zhang
+	Non-differentiability of Alpha function at the boundary of flat	2012	Jianlu Zhang

Common Coauthors

Coauthor	Papers Together
Jun Yan	6
Son N. T. Tu	6
Ya-Nan Wang	4
Qinbo Chen	2
Kai Zhao	2
Liang Jin	2
Bingyang Hu	2
Vadim Kaloshin	2
Ke Zhang	2
Maxime Zavidovique	2
Albert Fathi	2
Yanan Wang	1
Xiaolin Liu	1
Guihua Wang	1
Haixia Liu	1
Chong-Qing Cheng	1
Ji Li	1
Tere M. Seara	1
Dongmei Xiong	1
Yanxiao Meng	1
Jin Liang	1
Lixin Wang	1
Marcel Guardia Vadim Kaloshin	1
Xifeng Su	1
Li Ji	1
V. A. Kaloshin	1
Kai Zhao	1
Marcel Guàrdia	1
Yanan Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Action minimizing invariant measures for positive definite Lagrangian systems	1991	John N. Mather	14
+	Generic properties and problems of minimizing measures of Lagrangian systems	1996	Ricardo Mañé	13
+ PDF Chat	Convergence of the solutions of the discounted Hamilton–Jacobi equation	2016	Andrea Davini Albert Fathi Renato Iturriaga Maxime Zavidovique	10
+ PDF Chat	Connecting orbits of time dependent Lagrangian systems	2002	Patrick Bernard	9
+ PDF Chat	Vanishing contact structure problem and convergence of the viscosity solutions	2019	Qinbo Chen Wei Cheng Hitoshi Ishii Kai Zhao	8
+ PDF Chat	Aubry–Mather Theory for Conformally Symplectic Systems	2017	Stefano Maró Alfonso Sorrentino	7
+	Aubry–Mather Theory for Contact Hamiltonian Systems	2019	Kaizhi Wang Lin Wang Jun Yan	7
+	Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control	2004	Piermarco Cannarsa Carlo Sinestrari	6
+ PDF Chat	Existence of Diffusion Orbits in a priori Unstable Hamiltonian Systems	2004	Chong-Qing Cheng Jun Yan	6
+	THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN	1973	V. F. Lazutkin	6
+ PDF Chat	Some properties of viscosity solutions of Hamilton-Jacobi equations	1984	Michael G. Crandall L. C. Evans Pierre‐Louis Lions	5
+	A KAM theory for conformally symplectic systems: Efficient algorithms and their validation	2013	Renato Calleja Alessandra Celletti Rafael de la Llave	5
+	Generalized Mather problem and selection principles for viscosity solutions and mather measures	2008	Diogo A. Gomes	4
+ PDF Chat	The vanishing discount problem for Hamilton–Jacobi equations in the Euclidean space	2020	Hitoshi Ishii Antonio Siconolfi	4
+	Selection problems for a discount degenerate viscous Hamilton–Jacobi equation	2016	Hiroyoshi Mitake Hung V. Tran	4
+ PDF Chat	Convergence of solutions of Hamilton–Jacobi equations depending nonlinearly on the unknown function	2021	Qinbo Chen	4
+	Symplectic Twist Maps: Global Variational Techniques	2001	Christophe Golé	4
+	The vanishing discount problem and viscosity Mather measures. Part 2: Boundary value problems	2016	Hitoshi Ishii Hiroyoshi Mitake Hung V. Tran	4
+ PDF Chat	Convergence of solutions for some degenerate discounted Hamilton–Jacobi equations	2022	Maxime Zavidovique	4
+ PDF Chat	Periodic orbits for dissipative twist maps	1987	Martin Casdagli	3
+	PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians	2004	Albert Fathi Antonio Siconolfi	3
+	Selected Chapters in the Calculus of Variations	2003	Jürgen Moser Oliver Knill	3
+ PDF Chat	Vanishing discount problem and the additive eigenvalues on changing domains	2022	Son N. T. Tu	3
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions	3
+	Limit of the infinite horizon discounted Hamilton-Jacobi equation	2011	Renato Iturriaga Héctor Sánchez-Morgado	3
+	Evolution of slow variables in<b><i>a priori</i></b>unstable Hamiltonian systems	2004	Dmitrii Valer'evich Treschev	3
+	Weak solutions of the Hamilton-Jacobi equation for time periodic lagrangians	2013	Gonzalo Contreras Renato Iturriaga Héctor Sánchez-Morgado	3
+ PDF Chat	Existence of C 1 critical subsolutions of the Hamilton-Jacobi equation	2004	Albert Fathi Antonio Siconolfi	3
+ PDF Chat	Connecting orbits between static classes for generic Lagrangian systems	2002	Gonzalo Contreras Gabriel P. Paternain	3
+ PDF Chat	The free precession and libration of Mercury	2005	S. J. Peale	2
+	An integrable deformation of an ellipse of small eccentricity is an ellipse	2014	Artur Avila Jacopo De Simoi Vadim Kaloshin	2
+	Global instability in the elliptic restricted three body problem	2015	Amadeu Delshams V. A. Kaloshin Abraham de la Rosa Tere M. Seara	2
+	Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders	2011	Patrick Bernard V. A. Kaloshin K. Zhang	2
+	Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables	2006	Rafael Ramírez-Ros	2
+ PDF Chat	A stochastic analogue of Aubry-Mather theory*	2002	Diogo A. Gomes	2
+	Convex billiards and a theorem by E. Hopf	1993	Misha Bialy	2
+ PDF Chat	Propriétés des attracteurs de Birkhoff	1988	Patrice Le Calvez	2
+ PDF Chat	Invariants of the length spectrum and spectral invariants of planar convex domains	1994	Georgi Popov	2
+ PDF Chat	On action minimizing measures for the Monge-Kantorovich problem	2007	Luca Granieri	2
+ PDF Chat	Linear programming interpretations of Mather's variational principle	2002	L. C. Evans Diogo A. Gomes	2
+ PDF Chat	Adjoint and Compensated Compactness Methods for Hamilton–Jacobi PDE	2010	Lawrence C. Evans	2
+ PDF Chat	Monotone twist mappings and the calculus of variations	1986	Jürgen Moser	2
+	Differentiability of the minimal average action as a function of the rotation number	1990	John N. Mather	2
+	Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem	2011	Jacques Féjoz Marcel Guàrdia V. A. Kaloshin Pablo Roldán	2
+	Sur les courbes invariantes par les difféomorphismes de l'anneau. II	1986	Michael R. Herman	2
+	On minimizing measures of the action of autonomous Lagrangians	1995	Mario Carneiro	2
+ PDF Chat	Variational construction of orbits of twist diffeomorphisms	1991	John N. Mather	2
+	An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension	2012	V. A. Kaloshin Maria Saprykina	2
+ PDF Chat	Minimal measures, one-dimensional currents and the Monge–Kantorovich problem	2006	Luigi De Pascale Maria Stella Gelli Luca Granieri	2
+	A strong form of Arnold diusion for two and a half degrees of freedom	2013	V. A. Kaloshin K. Zhang	2