Massive Waves Gravitationally Bound to Static Bodies
Explore massive waves bound to static bodies in astrophysical spacetimes. Discover standing wave solutions and their implications for Klein-Gordon equations on asymptotically conic manifolds.
Nonlinear Stability of Kerr-de Sitter Spacetimes
Explore nonlinear stability of slowly-rotating Kerr-de Sitter black holes, focusing on a new proof using vectorfield method and bootstrap scheme to uncover high-frequency spectral gap.
Wave Equations in Kerr-de Sitter Spacetimes - The Full Subextremal Range
Explore wave equations in Kerr-de Sitter spacetimes, extending Vasy's results to the full subextremal range and analyzing photon trapping around black holes.
Feynman Propagators on Curved Spacetime
Explore Feynman propagators on curved spacetime, their construction, and connection to quantum states. Delve into microlocal techniques and their application to wave and Dirac-type operators.
Infrared Finite Scattering Theory in QFT and Quantum Gravity
Explore infrared finite scattering theory in QFT and quantum gravity, addressing IR divergences, memory effects, and challenges in constructing IR-finite S-matrices across various theories.
Hadamard States for Maxwell Fields via Complete Gauge Fixing
Explore Hadamard states for Maxwell fields through complete gauge fixing, delving into spectral theory and mathematical relativity concepts.
Obstruction-Free Gluing for the Einstein Equations
Explore a novel approach to gluing solutions of Einstein equations, removing obstructions and utilizing nonlinearity of constraint equations in General Relativity.
Uniqueness and Non-Uniqueness for Percolation on Groups
Explore percolation theory on groups, examining uniqueness and non-uniqueness of infinite clusters and their connections to group-theoretic concepts.
Elements of General Relativity - Lecture 2
Explore advanced concepts in general relativity, focusing on geometry beyond Riemann and examining curvature and rigidity in spacetime.
Elements of General Relativity - Lecture 3
Explore advanced concepts in general relativity, focusing on geometry beyond Riemann and examining curvature and rigidity in spacetime.
Recent Numerical Results on D0-Brane Matrix Model
Explore latest numerical simulations of D0-brane matrix model, confirming duality with type IIA superstring theory and uncovering new insights into M-theory and black holes.
Recent Progress in Numerical Studies of the Lorentzian IKKT Model
Explore recent numerical studies of the Lorentzian IKKT matrix model, including the Complex Langevin Method and the effects of adding a Lorentz invariant mass term.
A Wilsonian Effective Action for (1+3+6)-Dimensional Emergent Universes in the IKKT Model
Explore the IKKT model's potential for describing Type IIB superstring theory and its emergent universe solutions, focusing on the natural emergence of Lorentz invariant mass terms.
Lorentzian Length Spaces: An Introduction to Synthetic Lorentzian Geometry
Explore synthetic Lorentzian geometry foundations, focusing on time separation functions, curvature bounds, and applications in General Relativity, including recent developments in singularity theorems.
On the Classification Problem for Static Metrics with Positive Cosmological Constant
Explore recent advances in classifying static solutions to vacuum Einstein field equations with positive cosmological constant and related mass concepts in general relativity.
A Quiescent Regime for Big Bang Formation
Explore stable big bang formation in general relativity, covering recent results and a new condition for big bang formation in Einstein-non-linear scalar field settings.
Mathematical General Relativity: Seventy-Two Years After Yvonne Bruhat's Foundational Acta Paper
Explore key achievements in mathematical general relativity since Y.C Bruhat's foundational Acta paper, reviewing 72 years of progress in the field.
Mass Aspect Function for Weakly Regular Asymptotically Hyperbolic Manifolds
Explore mass aspect function definition for weakly regular asymptotically hyperbolic manifolds, extending Wang's work to low regularity settings using cut-off functions and distribution theory.
How Minimal Hypersurface and MOTS Singularities Affect Relativity Theorems
Explore how singularities in minimal hypersurfaces and MOTS impact key theorems in relativity, focusing on challenges and solutions in different dimensions.
Ergodic Results for the Stochastic Nonlinear Schrödinger Equation with Large Damping
Explore ergodic results for stochastic nonlinear Schrödinger equations with large damping, focusing on uniqueness of invariant measures in Rd (d≤3).
Brownian Motion at Interfaces - Experimental and Theoretical Studies
Explore Brownian motion near interfaces using experimental, theoretical, and numerical methods. Analyze microparticle trajectories, probability densities, and non-Gaussian behavior to infer nanoscale properties.