Colin Guillarmou
- Conformal bootstrap in Liouville Theory
2020/01/01 by Colin Guillarmou, Guillarmou, Colin, A. Kupiainen +5 · 7 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #17B68 (Secondary) #37K15 #60D99 #81T40 (Primary) 47D08 #81U20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Algebra (math.QA) #Random Matrices and Applications #Representation Theory (math.RT) #Spectral Theory (math.SP) #Stochastic processes and financial applications #Theoretical and Computational Physics
- Inverse problems for Einstein manifolds
2007/10/05 by Colin Guillarmou, Guillarmou, Colin, Antônio Sá Barreto +1 · 3 citations
Mathematics · #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #Geometric Analysis and Curvature Flows
- Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
2003/11/30 by Colin Guillarmou · 2 citations
Mathematics · Physics and Astronomy · #math.SP #math-ph #math.AP #math.MP #msc:58J50 #msc:35P25
- Conformal harmonic forms, Branson-Gover operators and Dirichlet problem at infinity
2008/08/05 by Erwann Aubry, Colin Guillarmou, Aubry, Erwann +1 · 2 citations
Mathematics · #53A30 #58J32 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
- The X-Ray Transform for Connections in Negative Curvature
2015/11/23 by Colin Guillarmou, Gabriel P. Paternain, Mikko Salo +2 · 3 citations
Mathematics · Engineering · #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena #Geometric Analysis and Curvature Flows
- Lens rigidity for manifolds with hyperbolic trapped set
2014/12/04 by Colin Guillarmou, Guillarmou, Colin · 2 citations
Mathematics · #35R30 #37D20 #37D40 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Morphological variations and asymmetry #Numerical methods in inverse problems
- Stability estimates in inverse problems for the Schrödinger and wave equations with trapping
2021/06/21 by Víctor Arnaiz, Arnaiz, Victor, Colin Guillarmou +1 · 2 citations
Mathematics · Computer Science · #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #Advanced Mathematical Modeling in Engineering
- Absence of resonance near the critical line on asymptotically hyperbolic spaces
2004/06/30 by Colin Guillarmou · 1 citation
Mathematics · #math.SP #math.AP #math.DG #msc:58J50 #msc:35P25
- Resolvent at low energy III: the spectral measure
2010/09/16 by Colin Guillarmou, Guillarmou, Colin, Andrew Hassell +3 · 1 citation
Mathematics · #35P25 #47A40 #58J50 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Restriction and spectral multiplier theorems on asymptotically conic\n manifolds
2010/12/16 by Colin Guillarmou, Guillarmou, Colin, Andrew Hassell +3 · 1 citation
Mathematics · #35P25 #42B37 #58J50 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Inverse Boundary Problems for Systems in Two Dimensions
2011/05/23 by Albin, Pierre, Colin Guillarmou, Guillarmou, Colin +3 · 1 citation
Mathematics · #35R30 #58J32 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems
- Ruelle-Taylor resonances of Anosov actions
2020/07/28 by Yannick Guedes Bonthonneau, Bonthonneau, Yannick Guedes, Colin Guillarmou +5 · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Advanced Differential Equations and Dynamical Systems #Quantum chaos and dynamical systems
- Probabilistic construction of non compactified imaginary Liouville field theory
2025/05/14 by Romain Usciati, Usciati, Romain, Colin Guillarmou +5 · 4 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
- Semigroup of annuli in Liouville CFT
2024/03/16 by Guillaume Baverez, Colin Guillarmou, Baverez, Guillaume +6 · 2 citations
Computer Science · #semigroups and automata theory
- Spectral characterization of Poincaré-Einstein manifolds with infinity of positive Yamabe type
2009/09/17 by Colin Guillarmou, Guillarmou, Colin, Jie Qing +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
- Compactified Imaginary Liouville Theory
2023/10/27 by Colin Guillarmou, Guillarmou, Colin, A. Kupiainen +3 · 1 citation
Mathematics · Physics and Astronomy · #60D05 #81T40 #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics
- Conformal bootstrap in Liouville theory
2024/01/01 by Colin Guillarmou, A. Kupiainen, Antti Kupiainen +2 · 2 citations
Mathematics · Computer Science · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis