Chang ‐ Shou Lin
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Mathematics
Chang ‐ Shou Lin's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics National Taiwan University
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(Suggest an Edit or Addition)Chang ‐ Shou Lin's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Large amplitude stationary solutions to a chemotaxis system (1988) (681)
- A classification of solutions of a conformally invariant fourth order equation in Rn (1998) (471)
- Topological degree for a mean field equation on Riemann surfaces (2003) (288)
- Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces (2002) (266)
- Estimates of the conformal scalar curvature equation via the method of moving planes (1997) (193)
- Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates (2004) (184)
- Elliptic functions, Green functions and the mean field equations on tori (2006) (158)
- Non-Topological Multi-Vortex Solutions to the Self-Dual Chern-Simons-Higgs Equation (2002) (141)
- Profile of Blow-up Solutions to Mean Field Equations with Singular Data (2004) (140)
- Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions (2005) (132)
- Interpolation inequalities with weights (1986) (118)
- Uniqueness of the ground state solutions of △u+f(u)=0 in Rn, n≥3 (1991) (113)
- On the diffusion coefficient of a semilinear Neumann problem (1988) (107)
- The local isometric embedding in R3 of two‐dimensional riemannian manifolds with gaussian curvature changing sign cleanly (1986) (97)
- Mean Field Equation of Liouville Type with Singular Data: Topological Degree (2015) (93)
- Estimate of the conformal scalar curvature equation via the method of moving planes. II (1998) (92)
- A counterexample to the nodal domain conjecture and a related semilinear equation (1988) (92)
- Classification and nondegeneracy of SU(n+1) Toda system with singular sources (2011) (91)
- On the prescribed scalar curvature problem in RN, local uniqueness and periodicity (2015) (89)
- Concentration phenomena of two-vortex solutions in a Chern-Simons model (2004) (87)
- Mean field equations of Liouville type with singular data: Sharper estimates (2010) (85)
- Local behavior of singular positive solutions of semilinear elliptic equations with Sobolev exponent (1995) (83)
- Mean field equations, hyperelliptic curves and modular forms: I (2015) (81)
- Uniqueness of Solutions to the Mean Field Equations for the Spherical Onsager Vortex (2000) (73)
- The local isometric embedding in $\mathbf{R}^3$ of 2-dimensional Riemannian manifolds with nonnegative curvature (1985) (73)
- Bubbling Solutions for Relativistic Abelian Chern-Simons Model on a Torus (2010) (72)
- Topological degree for mean field equations on S2 (2000) (68)
- Existence of Bubbling Solutions for Chern–Simons Model on a Torus (2013) (67)
- Extremal Functions for a Mean Field Equation in Two Dimension (2003) (66)
- Minimizers of Caffarelli–Kohn–Nirenberg Inequalities with the Singularity on the Boundary (2010) (64)
- Uniqueness of least energy solutions to a semilinear elliptic equation in ℝ2 (1994) (60)
- A system of elliptic equations arising in Chern-Simons field theory (2007) (59)
- The Existence of Convex Body with Prescribed Curvature Measures (2009) (57)
- Symmetry of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities (2004) (57)
- Existence of self-dual non-topological solutions in the Chern–Simons Higgs model (2011) (56)
- Profile of bubbling solutions to a Liouville system (2009) (56)
- Classification of blowup limits for SU(3) singular Toda systems (2013) (55)
- On the asymptotic behavior of solutions of the conformal Gaussian curvature equations in R2 (1997) (54)
- Revisiting an idea of Brézis and Nirenberg (2010) (53)
- Nonlinear PDE aspects of the tt* equations of Cecotti and Vafa (2010) (51)
- Prescribing Scalar Curvature on $S^N$, Part 1: Apriori Estimates (2001) (51)
- Application of the method of moving planes to conformally invariant equations (2004) (50)
- A Nonlinear Elliptic PDE with Two Sobolev–Hardy Critical Exponents (2011) (50)
- The Christoffel-Minkowski Problem II: Weingarten Curvature Equations* (2006) (50)
- Uniqueness of Topological Solutions and the Structure of Solutions for the Chern-Simons System with Two Higgs Particles (2010) (50)
- Existence and uniqueness for mean field equations on multiply connected domains at the critical parameter (2012) (50)
- An expository survey on the recent development of mean field equations (2007) (50)
- Blowing up with infinite energy of conformal metrics on Sn (1999) (47)
- On the asymptotic symmetry of singular solutions of the scalar curvature equations (1999) (46)
- Locating the peaks of solutions via the maximum principle: I. The Neumann problem (2001) (46)
- Existence of positive weak solutions with a prescribed singular set of semilinear elliptic equations (1999) (45)
- A topological degree counting for some Liouville systems of mean field type (2011) (44)
- Sign-changing Solutions and Phase Separation for an Elliptic System with Critical Exponent (2014) (44)
- On the second eigenfunctions of the Laplacian in R2 (1987) (43)
- Schouten tensor and some topological properties (2005) (43)
- Bubbling Solutions for the SU(3) Chern‐Simons Model on a Torus (2013) (43)
- Local Isometric Embedding of Surfaces with Nonpositive Gaussian Curvature (2003) (41)
- Estimates for boundary-bubbling solutions to an elliptic Neumann problem (2002) (41)
- Local Uniqueness and Refined Spike Profiles of Ground States for Two-Dimensional Attractive Bose-Einstein Condensates (2016) (40)
- On the symmetry of blowup solutions to a mean field equation (2001) (40)
- Non-Abelian Multiple Vortices in Supersymmetric Field Theory (2011) (39)
- The symmetry of least-energy solutions for semilinear elliptic equations (2003) (38)
- Vortex Condensates for Relativistic Abelian Chern-Simons Model with Two Higgs Scalar Fields and Two Gauge Fields on a Torus (2009) (36)
- A sharp sup + inf inequality for a nonlinear elliptic equation in R 2 (2016) (35)
- Green function, Painlevé VI equation, and Eisenstein series of weight one (2018) (35)
- A sharp sup + inf inequality for a nonlinear elliptic equation in R 2 (2016) (35)
- Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa I. Stokes Data (2012) (35)
- Mean field equations, hyperelliptic curves and modular forms: II (2017) (34)
- Estimates of the scalar curvature equation via the method of moving planes III (2000) (34)
- Conformal metrics in R 2 with prescribed Gaussian curvature with positive total curvature (1999) (34)
- Uniqueness and symmetry results for solutions of a mean field equation on 𝕊2 via a new bubbling phenomenon (2011) (33)
- Explicit construction of extremal Hermitian metrics with finite conical singularities on $S^2$ (2002) (33)
- On the Entire Radial Solutions of the Chern–Simons SU(3) System (2013) (32)
- Locating the peaks of solutions via the maximum principle II: A local version of the method of moving planes (2003) (32)
- Sharp estimates for fully bubbling solutions of a SU(3) Toda system (2012) (32)
- Uniqueness of solutions for a mean field equation on torus (2006) (32)
- Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa II: Riemann–Hilbert Problem (2013) (32)
- Sharp existence and uniqueness theorems for non-Abelian multiple vortex solutions (2011) (32)
- Monotonicity and nonexistence results to cooperative systems in the half space (2014) (31)
- On Liouville systems at critical parameters, Part 1: One bubble (2013) (31)
- On Liouville theorem and apriori estimates for the scalar curvature equations (1998) (29)
- On Non-Topological Solutions of the A2 and B2 Chern-Simons System (2016) (29)
- MINIMIZING PROBLEMS FOR THE HARDY-SOBOLEV TYPE INEQUALITY WITH THE SINGULARITY ON THE BOUNDARY (2012) (29)
- Multiple sign-changing and semi-nodal solutions for coupled Schrodinger equations (2013) (29)
- On the Best Constant in the Moser-Onofri-Aubin Inequality (2009) (27)
- One-dimensional symmetry of periodic minimizers for a mean field equation (2007) (26)
- Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrodinger system (2012) (25)
- Sharp estimates for bubbling solutions of a fourth order mean field equation (2007) (25)
- On the 2-scalar curvature (2010) (25)
- Removable singularity of positive solutions for a critical elliptic system with isolated singularity (2014) (24)
- Chern–Simons vortices in the Gudnason model (2013) (24)
- Degree counting and shadow system for $SU(3)$ Toda system: one bubbling (2014) (23)
- Positive radial solutions for and related topics (1990) (23)
- A sharp $\mathrm{sup} + \mathrm{inf}$ inequality for a nonlinear elliptic equation in $\mathbb{R}^2$ (1998) (22)
- On rank-2 Toda systems with arbitrary singularities: local mass and new estimates (2016) (22)
- Estimates of the mean field equations with integer singular sources: Non-simple blowup (2016) (22)
- On the Conformal Gaussian Curvature Equation inR2 (1998) (21)
- Uniqueness and solution structure of nonlinear equations arising from the Chern–Simons gauged O(3) sigma models (2013) (21)
- Asymptotic symmetry and local behaviors of solutions to a class of anisotropic elliptic equations (2011) (20)
- Segregated Vector Solutions for linearly coupled Nonlinear Schr\"odinger Systems (2013) (19)
- Self-Dual Symmetric Nontopological Solutions in the SU(3) Model in $${\mathbb{R}^2}$$R2 (2015) (19)
- Method of rotating planes applied to a singularly perturbed Neumann problem (2001) (18)
- Liouville–type theorems for semilinear elliptic equations involving the Sobolev exponent (1998) (18)
- Hamiltonian system for the elliptic form of Painlev\'{e} VI equation (2015) (18)
- Asymptotic behavior of SU(3) Toda system in a bounded domain (2012) (18)
- Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa III: Iwasawa Factorization and Asymptotics (2017) (18)
- Tropical atmospheric circulations with humidity effects (2011) (18)
- Degree counting and Shadow system for Toda system of rank two: One bubbling (2017) (17)
- On the Minimality of Extra Critical Points of Green Functions on Flat Tori (2016) (17)
- BLOW-UP BEHAVIOR FOR A PARABOLIC EQUATION WITH SPATIALLY DEPENDENT COEFFICIENT (2010) (17)
- Critical points of the classical Eisenstein series of weight two (2017) (16)
- Uniqueness of conformal metrics with prescribed total curvature in $R^2$ (2000) (16)
- Classification of the entire radial self-dual solutions to non-Abelian Chern–Simons systems (2014) (16)
- When “blow-up” does not imply “concentration”: A detour from Brézis–Merle's result (2016) (16)
- Blow-up for a reaction-diffusion equation with variable coefficient (2013) (16)
- On regular solutions of second order degenerate elliptic–parabolic equations (1990) (16)
- Asymptotic Behavior of Least Energy Solutions for a Critical Elliptic System (2015) (16)
- Recent advances in elliptic and parabolic problems (2005) (15)
- On the Cauchy problem of degenerate hyperbolic equations (2005) (15)
- A Topological Degree Counting for some Liouville Systems of Mean Field Equations (2010) (15)
- Bubble accumulations in an elliptic Neumann problem with critical Sobolev exponent (2007) (15)
- A spherical Harnack inequality for singular solutions of nonlinear elliptic equations (2001) (14)
- Some tt* structures and their integral Stokes data (2012) (14)
- On Non-topological Solutions of the ${\bf G}_2$ Chern-Simons System (2014) (14)
- Resolution of Chern–Simons–Higgs Vortex Equations (2015) (14)
- On the mean field type bubbling solutions for Chern–Simons–Higgs equation (2018) (14)
- Recent advances in geometric analysis (2010) (13)
- Energy concentration and a priori estimates for $B_2$ and $G_2$ types of Toda systems (2015) (13)
- On compactness and completeness of conformal metrics in $\mathbf{R}^N$ (1997) (12)
- Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system (2009) (12)
- New type of nontopological bubbling solutions in the SU(3) Chern–Simons model in R2 (2016) (12)
- Asymptotic analysis of solutions to a gauged O(3) sigma model (2013) (12)
- Classification of Radial Solutions to Liouville Systems with Singularities (2013) (11)
- Local profile of fully bubbling solutions to SU(n+1) Toda Systems (2013) (11)
- Bubbling solutions for the Chern-Simons gauged $O(3)$ sigma model in $\mathbb{R}^2$ (2013) (11)
- Mixed Type Solutions of the $${SU(3)}$$SU(3) Models on a Torus (2016) (11)
- A priori estimates of Toda systems, I: the Lie algebras of $\mathbf{A}_n$, $\mathbf{B}_n$, $\mathbf{C}_n$ and $\mathbf{G}_2$ (2020) (11)
- Sharp Nonexistence Results for Curvature Equations with Four Singular Sources on Rectangular Tori (2017) (11)
- Degree counting for Toda system with simple singularity: One point blow up (2017) (10)
- Local profile of fully bubbling solutions to $\mathrm {SU} (n+1)$ Toda systems (2016) (10)
- The geometry of generalized Lamé equation, I (2017) (10)
- Sharp estimates for solutions of mean field equations with collapsing singularity (2017) (10)
- Existence of mixed type solutions in the SU(3) Chern–Simons theory in $$\mathbb {R}^2$$R2 (2017) (10)
- Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains (2018) (9)
- Existence of mixed type solutions in the Chern–Simons gauge theory of rank two in R2 (2017) (9)
- Harnack type inequality and a priori estimates for solutions of a class of semilinear elliptic equations (2008) (9)
- Sharp existence results for mean field equations with singular data (2012) (9)
- The geometry of generalized Lamé equation, II: Existence of pre-modular forms and application (2018) (8)
- Geometric quantities arising from bubbling analysis of mean field equations (2016) (8)
- Existence, uniqueness and stability of positive solutions to sublinear elliptic systems (2011) (8)
- LOCAL GRADIENT ESTIMATES FOR QUOTIENT EQUATIONS IN CONFORMAL GEOMETRY (2007) (8)
- Real-root property of the spectral polynomial of the Treibich–Verdier potential and related problems (2016) (8)
- Asymptotic symmetry of singular solutions of semilinear elliptic equations (2008) (8)
- Variational justification of the dimensional-scaling method in chemical physics: the H-atom (2010) (8)
- Erratum to “Symmetry of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities” (2004) (8)
- Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation, I (2016) (7)
- Toda systems and hypergeometric equations (2016) (7)
- Self-dual radial non-topological solutions to a competitive Chern–Simons model (2018) (7)
- Multiplicity for Self-Dual Condensate Solutions in the Maxwell-Chern-Simons O(3) Sigma Model (2014) (7)
- ON TODA SYSTEM WITH CARTAN MATRIX G 2 (2014) (7)
- Compactness of conformal metrics with positive gaussian curvature in $\mathbb {R}^2$ (1998) (7)
- Green function, mean field equation and Painlevé VI equation (2015) (7)
- Bubbling solutions for the Chern–Simons gauged $$O(3)$$O(3) sigma model on a torus (2015) (7)
- Solutions to the Master Equations Governing Fractional Vortices (2012) (7)
- Mathematical analysis of the dimensional scaling technique for the Schrödinger equation with power-law potentials (2010) (6)
- Uniqueness of non-topological solutions for the Chern-Simons system with two Higgs particles (2014) (6)
- Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori (2021) (6)
- Classification of solutions to general Toda systems with singular sources (2016) (6)
- On Toda system with Cartan matrix (2015) (6)
- Uniqueness of topological multi-vortex solutions for a skew-symmetric Chern-Simons system (2014) (6)
- Conformal metrics with prescribed nonpositive Gaussian curvature on ${\mathbb R}^2$ (2000) (6)
- Existence of non-topological solutions for a skew-symmetric Chern-Simons system (2014) (6)
- Topological degree for solutions of fourth order mean field equations (2011) (6)
- Simple zero property of some holomorphic functions on the moduli space of tori (2017) (6)
- A priori estimates for D4 and F4 Toda systems (2020) (5)
- A FUNCTION THEORETIC VIEW OF THE MEAN FIELD EQUATIONS ON TORI (2008) (5)
- Multiple solutions of conformal metrics with negative total curvature (2000) (5)
- Convergence rate, location and $\partial_z^2$ condition for fully bubbling solutions to SU(n+1) Toda Systems (2014) (5)
- ON THE CHERN-SIMONS-HIGGS EQUATION : PART II , LOCAL UNIQUENESS AND EXACT NUMBER OF SOLUTIONS (2014) (5)
- The SU(3) Toda system with multiple singular sources (2019) (5)
- On axisymmetric solutions of the conformal scalar curvature equation on $S^n$ (2000) (5)
- On algebraic multiplicity of (anti)periodic eigenvalues of Hill’s equations (2018) (5)
- Bubbling solutions for a skew-symmetric Chern–Simons system in a torus (2017) (5)
- On condensate of solutions for the Chern–Simons–Higgs equation (2017) (5)
- Self-Dual Symmetric Nontopological Solutions in the SU(3) Model in R 2 (2015) (4)
- Existence and non-existence of solutions of the mean field equations on flat tori (2017) (4)
- Mean field equations and premodular forms, I: at critical parameter $16\pi$ (2016) (4)
- Non-existence of solutions for a mean field equation on flat tori at critical parameter $16 \pi$ (2016) (4)
- A new type of non-topological bubbling solutions to a competitive Chern-Simons model (2014) (4)
- Liouville Systems of Mean Field Equations (2011) (4)
- Small divisors in nonlinear elliptic equations (2003) (4)
- Sharp Estimate for the Critical Parameters of SU(3) Toda System with Arbitrary Singularities, I (2020) (4)
- Existence of bubbling solutions without mass concentration (2018) (4)
- Existence of non-Abelian vortices with product gauge groups (2014) (4)
- On the attainability for the best constant of the Sobolev-Hardy type inequality (Progress in Variational Problems : New Trends of Geometric Gradient Flow and Critical Point Theory) (2011) (3)
- Metrics with Positive constant curvature and modular differential equations (2021) (3)
- Spectrum of the Lamé operator and application, I: Deformation along Reτ=12 (2021) (3)
- Spectrum of the Lamé Operator and Application, II: When an Endpoint is a Cusp (2020) (3)
- Existence of Radial Mixed Type Solutions in Chern–Simons Theories of Rank 2 in $$\mathbb {R}^2$$R2 (2019) (3)
- The geometry of generalized Lamé equation, III: One-to-one of the Riemann–Hilbert correspondence (2020) (2)
- BLOWUP BEHAVIOR OF MEAN FIELD TYPE EQUATIONS (2000) (2)
- A uniqueness result for a Neumann problem involving the critical Sobolev exponent (2003) (2)
- Uniqueness of bubbling solutions with collapsing singularities (2017) (2)
- On reducible monodromy representations of some generalized Lamé equation (2016) (2)
- Uniqueness of Multiple-spike Solutions via the Method of Moving Planes (2007) (2)
- On number and evenness of solutions of the $SU(3)$ Toda system on flat tori with non-critical parameters (2021) (2)
- On Non-topological Solutions of the Chern-Simons SU ( 3 ) System (2011) (2)
- Lectures on Partial Differential Equations: Proceedings in honor of Louis Nirenberg's 75th Birthday (2003) (2)
- On Algebro-Geometric Simply-Periodic Solutions of the KdV Hierarchy (2020) (2)
- Uniqueness of topological solutions of self-dual Chern-Simons equation with collapsing vortices (2014) (1)
- Modular Ordinary Differential Equations on SL(2,Z) of Third Order and Applications (2021) (1)
- Asymptotic behavior of SU(3) Toda system in a bounded domain (2011) (1)
- A NECESSARY AND SUFFICIENT CONDITION FOR THE DARBOUX-TREIBICH-VERDIER POTENTIAL WITH ITS SPECTRUM CONTAINED IN R (2020) (1)
- Quasimodular forms and modular differential equations which are not apparent at cusps: I (2021) (1)
- The existence of positive solutions to the semilinear elliptic equation involving the Sobolev and the Sobolev-Hardy critical terms (Harmonic Analysis and Nonlinear Partial Differential Equations) (2011) (1)
- Blow up at infinity in the SU(3) Chern-Simons model, part I (2020) (1)
- A MINIMIZATION PROBLEM ASSOCIATED WITH THE CHERN-SIMONS MODEL WITH DOUBLE VORTEX POINTS ON A TORUS (2013) (1)
- The tt*-Toda equations of A_n type (2023) (1)
- Compactness of conformal metrics with positive gaussian curvature in R2 (2019) (1)
- The existence of positive solutions to the semilinear elliptic equation involving the Sobolev and the Sobolev ‐ Hardy critical terms (2018) (1)
- Proof of a conjecture of Dahmen and Beukers on counting integral Lam\'{e} equations with finite monodromy (2021) (0)
- Asymptotic analysis of solutions to a gauged $ \mathrm{O}(3)$ sigma model (2015) (0)
- Elliptic KdV potentials and conical metrics of positive constant curvature, I (2023) (0)
- On the blow-up behavior of solutions of scalar curvature equation and its application (1999) (0)
- On reducible monodromy representations of some generalized Lamé equation (2017) (0)
- A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in ℝ (2022) (0)
- Simple zero property of some holomorphic functions on the moduli space of tori (2019) (0)
- Monodromy of a generalized Lame equation of third order (2022) (0)
- Recent advances in nonlinear analysis : proceedings of the International Conference on Nonlinear Analysis, Hsinchu, Taiwan, 20-25 Novemver 2006 (2008) (0)
- Title The existence of positive solutions to the semilinear elliptic equation involving the Sobolev and the Sobolev-Hardy critical terms ( Harmonic Analysis and Nonlinear Partial Differential Equations ) (2018) (0)
- A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in $\mathbb{R}$ (2020) (0)
- Existence of Bubbling Solutions for Chern–Simons Model on a Torus (2012) (0)
- Asymptotic behavior of solutions of A 2nth order nonlinear differential equation (2002) (0)
- STRUCTURES AND THEIR INTEGRAL STOKES DATA (2012) (0)
- Recent advances in elliptic and parabolic problems : Proceedings of the International Conference, Hsinchu, Taiwan 16-20 February 2004 (2005) (0)
- THE CHRISTOFFEL-MINKOWSKI PROBLEM III: EXISTENCE PROBLEM FOR CURVATURE MEASURES (2003) (0)
- Resolution of Chern–Simons–Higgs Vortex Equations (2016) (0)
- Removable singularity of positive solutions for a critical elliptic system with isolated singularity (2015) (0)
- Co-axial metrics on the sphere and algebraic numbers (2022) (0)
- Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa II: Riemann–Hilbert Problem (2015) (0)
- Sharp upper bound of the number of solutions for the SU(N + 1) Toda system on torus with non-critical parameters (2022) (0)
- Sharp estimates for fully bubbling solutions of a SU(3) Toda system (2012) (0)
- Even solutions of some mean field equations at non-critical parameters on a flat torus (2022) (0)
- On the Entire Radial Solutions of the Chern–Simons SU(3) System (2014) (0)
- Classification and nondegeneracy of SU(n+1) Toda system with singular sources (2012) (0)
- A Nonlinear Elliptic PDE with Two Sobolev–Hardy Critical Exponents (2011) (0)
- Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains (2022) (0)
- degree counting formula for non-symmetric Toda systems of rank two (2022) (0)
- PHASE SEPARATION OF BOUND STATE SOLUTIONS OF A SYSTEM OF NONLINEAR SCHRÖDINGER EQUATIONS (2005) (0)
- Existence and uniqueness for mean field equations on multiply connected domains at the critical parameter (2013) (0)
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