1. Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations
   2024/05/08 by Per Åhag, Åhag, Per, Rafał Czyż +5 · 1 citation
   Mathematics · #32U35 #32W20 #53C22 #Analysis of PDEs (math.AP) #Applied mathematics #Complex Variables (math.CV) #Computer science #Context (archaeology) #Differential Geometry (math.DG) #Envelope (radar) #Euclidean geometry #FOS: Mathematics #Geodesic #Geography #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Hessian equation #Hessian matrix #Mathematical analysis #Mathematics #Nonlinear system #Partial differential equation #Physics #Primary. 32U05 #Pure mathematics #Secondary. 32F17 #Subharmonic #Subharmonic function
2. Scattering amplitudes for self-force
   2023/07/01 by Tim Adamo, Andrea Cristofoli, Adamo, Tim +5 · 1 citation
   Engineering · Physics and Astronomy · #Amplitude #Classical mechanics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Geodesic #Geophysics and Sensor Technology #Gravitation #Graviton #High Energy Physics - Theory (hep-th) #Kerr metric #Mathematical physics #Photon #Photon sphere #Physics #Pulsars and Gravitational Waves Research #Quantum #Quantum electrodynamics #Quantum mechanics #Relativity and Gravitational Theory #Scalar (mathematics) #Scattering amplitude #Schwarzschild geodesics #Schwarzschild metric #Schwarzschild radius #Semiclassical physics
3. Ergodicity of the geodesic flow on symmetric surfaces
   2022/11/29 by Michael Pandazis, Pandazis, Michael, Dragomir Šarić +1 · 1 citation
   Mathematics · #30F20 #30F25 #30F45 #57K20 #Class (philosophy) #Complex Variables (math.CV) #FOS: Mathematics #Flow (mathematics) #Geodesic #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry #Infinity #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Pure mathematics #Riemann surface #Surface (topology) #Type (biology)
4. Symplectic mechanics of relativistic spinning compact bodies. I. linear-in-spin integrability under Killing-Yano symmetry
   2022/10/08 by Paul Ramond, Ramond, Paul, Soichiro Isoyama +1 · 3 citations
   Engineering · Mathematics · #Classical mechanics #Covariant transformation #Equations of motion #General relativity #Geodesic #Geophysics and Sensor Technology #Hamiltonian (control theory) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Poisson bracket #Proper time #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Solving the geodesic equations #Spacetime #Spacetime symmetries #Stationary spacetime #World line #gr-qc #math-ph #math.MP
5. Fractal geometry of the space-time difference profile in the directed landscape via construction of geodesic local times
   2022/04/04 by Shirshendu Ganguly, Lingfu Zhang, Ganguly, Shirshendu +1 · 1 citation
   Mathematics · Physics and Astronomy · #Brownian motion #FOS: Mathematics #FOS: Physical sciences #Fractal #Geodesic #Geometry #Hausdorff dimension #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Metric space #Probability (math.PR) #Pure mathematics #Scaling #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
6. The directed landscape
   2022/01/01 by Duncan Dauvergne, Janosch Ortmann, Bálint Virág · 22 citations
   Computer Science · Mathematics · #Bayesian Methods and Mixture Models #Brownian motion #Geodesic #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Random Matrices and Applications #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Universality (dynamical systems)
7. Residual finiteness for central extensions of lattices in\n \PU(n,1) and negatively curved projective varieties
   2021/08/27 by Matthew Stover, Domingo Toledo, Stover, Matthew +1 · 2 citations
   Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Ball (mathematics) #Combinatorics #Cover (algebra) #Differential Geometry (math.DG) #Dual polyhedron #FOS: Mathematics #Geodesic #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Lattice (music) #Mathematical analysis #Mathematics #Number Theory (math.NT) #Physics #Pure mathematics #Quotient
8. Divergent reflections around the photon sphere of a black hole
   2021/07/01 by Albert Sneppen · 1 citation
   Mathematics · Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Black hole (networking) #Charged black hole #Classical mechanics #Computer science #Entropy (arrow of time) #Event (particle physics) #Event horizon #Experimental and Theoretical Physics Studies #Exponential function #Extremal black hole #General relativity #Geodesic #Geometry #Gravitation #Logarithm #Mathematical analysis #Mathematics #Photon #Photon sphere #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Quasinormal mode #Relativity and Gravitational Theory #Rotating black hole #Schwarzschild metric #Schwarzschild radius #Theoretical physics
9. Subspace stabilisers in hyperbolic lattices
   2021/05/14 by Mikhail Belolipetsky, Belolipetsky, Mikhail, Nikolay Bogachev +5 · 3 citations
   Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic geometry #Arithmetic #Geodesic #Geometric and Algebraic Topology #Hyperbolic function #Hyperbolic geometry #Hyperbolic manifold #Hyperbolic space #Hyperbolic triangle #Linear subspace #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Orbifold #Pure mathematics #Relatively hyperbolic group #Subspace topology
10. On a theta lift related to the Shintani lift
    2018/02/13 by Claudia Alfes-Neumann, Claudia Alfes‐Neumann, Markus Schwagenscheidt · 5 citations
    Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #Cusp (singularity) #Fourier series #Geodesic #Geometry #Lift (data mining) #Mathematical analysis #Mathematics #Moduli #Pure mathematics #Weight function
11. A dihedral Bott-type iteration formula and stability of symmetric periodic orbits
    2017/05/25 by Xijun Hu, Hu, Xijun, Alessandro Portaluri +4 · 1 citation
    Mathematics · #37C80 #53D12 #58J30 #70F10 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Differential equation #Dynamical Systems (math.DS) #Equivariant map #FOS: Mathematics #Functional Analysis (math.FA) #Geodesic #Geometric and Algebraic Topology #Hamiltonian system #Intersection theory #Mathematical analysis #Mathematics #Ordinary differential equation #Pure mathematics #Symplectic geometry #math.DS #math.FA #msc:37C80 #msc:53D12 #msc:58J30 #msc:70F10
12. Transport maps, non-branching sets of geodesics and measure rigidity
    2017/04/18 by Martin Kell, Kell, Martin · 4 citations
    Mathematics · #Absolute continuity #Bounded function #Branching (polymer chemistry) #Contraction (grammar) #Geodesic #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical analysis #Mathematics #Measure (data warehouse) #Metric space #Nonlinear Partial Differential Equations #Physics #Pure mathematics #Rigidity (electromagnetism) #math.DG #math.MG
13. The globalization theorem for the Curvature-Dimension condition
    2016/12/22 by Fabio Cavalletti, Emanuel Milman, Cavalletti, Fabio +1 · 20 citations
    Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Bounded function #Curvature #Dimension (graph theory) #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Mathematical analysis #Mathematics #Measure (data warehouse) #Order (exchange) #Pure mathematics #Ricci curvature #Space (punctuation)
14. Isometric disks are holomorphic
    2016/10/05 by Stergios M. Antonakoudis · 2 citations
    Engineering · Mathematics · #Bounded function #Engineering #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Holomorphic and Operator Theory #Holomorphic function #Isometric exercise #Isometry (Riemannian geometry) #Mathematical analysis #Mathematics #Metric (unit) #Pure mathematics #Regular polygon #Riemann surface #Teichmüller space #Unit disk
15. Embeddedness of least area minimal hypersurfaces
    2015/11/09 by Antoine Song, Song, Antoine · 1 citation
    Mathematics · #Combinatorics #Conjecture #Curvature #Differential Geometry (math.DG) #FOS: Mathematics #Geodesic #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Hypersurface #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Mean curvature #Minimal surface #Pure mathematics #Scalar curvature #Simple (philosophy) #Surface (topology) #math.DG
16. The X-Ray Transform for Connections in Negative Curvature
    2015/02/28 by Colin Guillarmou, Gabriel P. Paternain, Mikko Salo +2 · 4 citations
    Engineering · Mathematics · #Boundary (topology) #Connection (principal bundle) #Curvature #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Hermitian matrix #Higgs boson #Higgs field #Mathematical analysis #Mathematics #Numerical methods in inverse problems #Physics #Pure mathematics #Quantum mechanics #Riemann curvature tensor #Thermoelastic and Magnetoelastic Phenomena #math.AP #math.DG #math.DS
17. On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces
    2014/12/19 by Matthias Erbar, Kazumasa Kuwada, Karl-Theodor Sturm · 58 citations
    Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Curvature #Equivalence (formal languages) #Geodesic #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Harnack's inequality #Infinitesimal #Mathematical analysis #Mathematics #Measure (data warehouse) #Metric space #Pure mathematics #Ricci curvature
18. Busemann Functions and Infinite Geodesics in Two-Dimensional First-Passage Percolation
    2014/01/11 by Michael Damron, Jack Hanson · 2 citations
    Mathematics · #Coalescence (physics) #Conjecture #Curvature #Distribution (mathematics) #Ergodic theory #Geodesic #Geometry #Limiting #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematics #Percolation (cognitive psychology) #Physics #Pure mathematics #Random Matrices and Applications #Statistical physics #Stochastic processes and statistical mechanics
19. COLORING GRAPHS TO CLASSIFY SIMPLE CLOSED GEODESICS ON CONVEX DELTAHEDRA
    2013/12/12 by Kaysilyn Lawson, James L. Parish, Cynthia M. Traub +1 · 1 citation
    Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Simple (philosophy) #Regular polygon #Geodesic #Mathematics #Combinatorics #Computer science #Geometry #Philosophy #Epistemology
20. Immersing almost geodesic surfaces in a closed hyperbolic three manifold
    2012/04/09 by Jeremy Kahn, Vladimir Marković · 1 citation
    Mathematics · #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Advanced Combinatorial Mathematics #Mathematics #Embedding #Hyperbolic manifold #3-manifold #Manifold (fluid mechanics) #Pure mathematics #Geodesic #Closed manifold #Construct (python library) #Mathematical analysis #Invariant manifold #Hyperbolic function
21. Teichmüller Spaces of Riemann Surfaces with Orbifold Points of Arbitrary Order and Cluster Variables
    2011/11/30 by Leonid Chekhov, Michael Shapiro · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Class (philosophy) #Cluster algebra #Geodesic #Geometric and Algebraic Topology #Graph #Orbifold #Order (exchange) #Reciprocal #Riemann surface #Type (biology) #math-ph #math.CO #math.MP #msc:13F60 #msc:53D30
22. Light-cone averaging in cosmology: formalism and applications
    2011/04/30 by M. Gasperini, Giovanni Marozzi, G. Marozzi +3 · 2 citations
    Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Formalism (music) #Galaxy #Geodesic #Light cone #Luminosity distance #Mathematical analysis #Mathematical physics #Physics #Redshift #Theoretical physics #astro-ph.CO #gr-qc #hep-th
23. Hyperbolicity in Teichmüller space
    2010/11/27 by Kasra Rafi · 2 citations
    Mathematics · #Analytic and geometric function theory #Enhanced Data Rates for GSM Evolution #Geodesic #Geodesic map #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Property (philosophy) #Space (punctuation) #math.GT #msc:30F60 #msc:32Q05
24. Intrinsic Inference on the Mean Geodesic of Planar Shapes and Tree\n Discrimination by Leaf Growth
    2010/09/16 by Stephan Huckemann, Huckemann, Stephan · 3 citations
    Agricultural and Biological Sciences · Environmental Science · Mathematics · #Algorithm #Artificial intelligence #Botany and Plant Ecology Studies #Computation #Computer science #Consistency (knowledge bases) #Curvature #Euclidean geometry #Euclidean space #FOS: Computer and information sciences #Forest ecology and management #Geodesic #Geometry #Landmark #Limit (mathematics) #Mathematical analysis #Mathematics #Methodology (stat.ME) #Morphological variations and asymmetry #Principal component analysis #Statistics #Tangent #Tree (set theory) #stat.ME
25. Reflections on the Lemniscate of Bernoulli: The Forty-Eight Faces of a Mathematical Gem
    2010/07/14 by Joel Langer, Joel C. Langer, David A. Singer · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Bernoulli's principle #Dodecahedron #Geodesic #Geometry #Mathematical analysis #Mathematics #Mathematics and Applications #Pure mathematics #Reflection (computer programming) #Simple (philosophy) #Triangulation
26. Geometry Revealed
    2010/01/01 by Marcel Berger, Lester J. Senechal · 1 citation
    Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Combinatorics #Conic section #Convexity #Differential geometry #Geodesic #Geometric and Algebraic Topology #Geometry #History and Theory of Mathematics #Mathematics #Mathematics and Applications #Mathematics education #Physics #Plane (geometry) #Polyhedron #Polytope #Regular polygon #SPHERES #Surface (topology) #semigroups and automata theory
27. Orbifold Riemann surfaces and geodesic algebras
    2009/07/14 by L. O. Chekhov, L O Chekhov · 1 citation
    Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Braid group #Geodesic #Geometric and Algebraic Topology #Geometric function theory #Graph #Homotopy and Cohomology in Algebraic Topology #Orbifold #Quantum #Riemann hypothesis #Riemann surface #math-ph #math.MP #msc:53D30 #msc:81S10
28. Limitations of the standard gravitational perfect fluid paradigm
    2009/03/31 by Philip D. Mannheim, James OʼBrien, James G. O'Brien +1 · 1 citation
    Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Exact solutions in general relativity #Geodesic #Geometry #Gravitation #Mathematical physics #Perfect fluid #Physics #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Spacetime #Stress–energy tensor #Tensor (intrinsic definition) #gr-qc
29. Limiting Carleman weights and anisotropic inverse problems
    2008/03/25 by D. Dos Santos Ferreira, David Dos Santos Ferreira, C. E. Kenig +5 · 18 citations
    Mathematics · #Anisotropy #Dimension (graph theory) #Geodesic #Holomorphic and Operator Theory #Inverse #Limiting #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #Uniqueness #math.AP #math.DG
30. Entropic Bounds on Semiclassical Measures for Quantized One-Dimensional Maps
    2008/02/22 by Boris Gutkin · 2 citations
    Materials Science · Mathematics · Physics and Astronomy · #Constant curvature #Eigenvalues and eigenvectors #Ergodic theory #Geodesic #Invariant (physics) #Manifold (fluid mechanics) #Mathematical Dynamics and Fractals #Probability measure #Quantum #Quantum chaos and dynamical systems #Quasicrystal Structures and Properties #Semiclassical physics #Upper and lower bounds #math-ph #math.MP #msc:28D20 #msc:35P20 #msc:81Q50

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