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Non-rigidity of spherical inversive distance circle packings ; Schlenker, Jean-Marc in Discrete and Computational Geometry (2012), 47(3), 610--617 Detailed reference viewed: 112 (2 UL)Flippable tilings of constant curvature surfaces ; Schlenker, Jean-Marc in Illinois Journal of Mathematics (2012), 56(2), 1213-1256 Detailed reference viewed: 102 (1 UL)The Weil-Petersson metric and the renormalized volume of hyperbolic 3-manifolds ; Schlenker, Jean-Marc in Handbook of Teichmüller theory. Volume III (2012) Detailed reference viewed: 140 (1 UL)Fixed points of compositions of earthquakes ; Schlenker, Jean-Marc in Duke Mathematical Journal (2012), 161(6), 1011--1054 Detailed reference viewed: 126 (3 UL)Volume maximization and the extended hyperbolic space ; Schlenker, Jean-Marc in Proceedings of the American Mathematical Society (2012), 140(3), 1053--1068 Detailed reference viewed: 193 (2 UL)Collisions of particles in locally AdS spacetimes I. Local description and global examples ; ; Schlenker, Jean-Marc in Communications in Mathematical Physics (2011), 308(1), 147--200 Detailed reference viewed: 93 (1 UL)Combinatorial aspects of orthogonal group integrals ; Schlenker, Jean-Marc in International Journal of Mathematics (2011), 22(11), 1611--1646 Detailed reference viewed: 79 (1 UL)Multi-black holes and earthquakes on Riemann surfaces with boundaries ; ; Schlenker, Jean-Marc in International Mathematics Research Notices (2011), (3), 487--552 Detailed reference viewed: 109 (2 UL)On polynomial integrals over the orthogonal group ; ; Schlenker, Jean-Marc in Journal of Combinatorial Theory. Series A (2011), 118(3), 778--795 Detailed reference viewed: 100 (2 UL)On the infinitesimal rigidity of weakly convex polyhedra ; Schlenker, Jean-Marc in European Journal of Combinatorics (2010), 31(4), 1080--1090 The main motivation here is a question: whether any polyhedron which can be subdivided into convex pieces without adding a vertex, and which has the same vertices as a convex polyhedron, is ... [more ▼] The main motivation here is a question: whether any polyhedron which can be subdivided into convex pieces without adding a vertex, and which has the same vertices as a convex polyhedron, is infinitesimally rigid. We prove that it is indeed the case for two classes of polyhedra: those obtained from a convex polyhedron by ``denting'' at most two edges at a common vertex, and suspensions with a natural subdivision. [less ▲] Detailed reference viewed: 113 (11 UL)On orthogonal matrices maximizing the 1-norm ; ; Schlenker, Jean-Marc in Indiana University Mathematics Journal (2010), 59(3), 839--856 Detailed reference viewed: 116 (2 UL)Profiles of inflated surfaces ; Schlenker, Jean-Marc in Journal of Nonlinear Mathematical Physics (2010), 17(2), 145--157 Detailed reference viewed: 180 (2 UL)Infinitesimal rigidity of polyhedra with vertices in convex position ; Schlenker, Jean-Marc in Pacific Journal of Mathematics (2010), 248(1), 171--190 Detailed reference viewed: 195 (2 UL)Maximal surfaces and the universal Teichmüller space ; Schlenker, Jean-Marc in Inventiones Mathematicae (2010), 182(2), 279--333 Detailed reference viewed: 171 (3 UL)AdS manifolds with particles and earthquakes on singular surfaces ; Schlenker, Jean-Marc in Geometric and Functional Analysis (2009), 19(1), 41--82 We prove an ``Earthquake theorem'' for closed hyperbolic surfaces with cone singularities where the total angle is less than $\pi$: the action of the space of measured laminations on Teichm\"uller space ... [more ▼] We prove an ``Earthquake theorem'' for closed hyperbolic surfaces with cone singularities where the total angle is less than $\pi$: the action of the space of measured laminations on Teichm\"uller space by left earthquakes is simply transitive. This is strongly related to another result: the space of ``globally hyperbolic'' AdS manifolds with cone singularities along time-like geodesics is parametrized by the product two copies of Teichm\"uller space with some marked points (corresponding to the cone singularities). [less ▲] Detailed reference viewed: 120 (5 UL)Quasi-Fuchsian manifolds with particles ; Schlenker, Jean-Marc in Journal of Differential Geometry (2009), 83(1), 75-129 We consider 3-dimensional hyperbolic cone-manifolds, singular along infinite lines, which are ``convex co-compact'' in a natural sense. We prove an infinitesimal rigidity statement when the angle around ... [more ▼] We consider 3-dimensional hyperbolic cone-manifolds, singular along infinite lines, which are ``convex co-compact'' in a natural sense. We prove an infinitesimal rigidity statement when the angle around the singular lines is less than $\pi$: any first-order deformation changes either one of those angles or the conformal structure at infinity, with marked points corresponding to the endpoints of the singular lines. Moreover, any small variation of the conformal structure at infinity and of the singular angles can be achieved by a unique small deformation of the cone-manifold structure. [less ▲] Detailed reference viewed: 125 (9 UL)Representations of quantum permutation algebras Schlenker, Jean-Marc ; ; in Journal of Functional Analysis (2009), 257(9), 2864-2910 We develop a combinatorial approach to the quantum permutation algebras, as Hopf images of representations of type π:As(n)→B(H)π:As(n)→B(H). We discuss several general problems, including the ... [more ▼] We develop a combinatorial approach to the quantum permutation algebras, as Hopf images of representations of type π:As(n)→B(H)π:As(n)→B(H). We discuss several general problems, including the commutativity and cocommutativity ones, the existence of tensor product or free wreath product decompositions, and the Tannakian aspects of the construction. The main motivation comes from the quantum invariants of the complex Hadamard matrices: we show here that, under suitable regularity assumptions, the computations can be performed up to n=6. [less ▲] Detailed reference viewed: 100 (1 UL)On weakly convex star-shaped polyhedra Schlenker, Jean-Marc in Discrete Mathematics (2009), 309(20), 6139--6145 Detailed reference viewed: 88 (1 UL)A symplectic map between hyperbolic and complex Teichmüller theory ; Schlenker, Jean-Marc in Duke Mathematical Journal (2009), 150(2), 331--356 Detailed reference viewed: 110 (1 UL)Higher Schläfli formulas and applications. II. Vector-valued differential relations Schlenker, Jean-Marc ; in International Mathematics Research Notices (2008) Detailed reference viewed: 146 (3 UL) |
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