On the Power of Nonstandard Quantum Oracles - Complexity Theory and Oracle Models
Delve into quantum oracle complexity theory and its impact on property testing, exploring how different oracle designs affect quantum algorithms and verification protocols in graph analysis.
Spectral Approximation for Maxwell's Equations in Conductive Media
Explore spectral approximation for Maxwell's equations in conductive media, focusing on non-selfadjoint operators, spectral pollution, and domain truncation methods.
Laminated Metamaterials - Divergence Form Equations and Homogenisation
Explore divergence form equations with sign-indefinite coefficients, solution criteria, and homogenization methods for oscillatory ill-posed problems in quantum theory.
Approximation of Dirac Operators with Delta-Shell Potentials
Explore approximation of 2D Dirac operators with δ-shell potentials using squeezed potentials. Analyze convergence in norm resolvent sense for specific interaction strengths.
Spectral Properties of Soft Quantum Waveguides
Explore spectral properties of soft quantum waveguides, focusing on Schrödinger operators with attractive potentials along curved channels. Analyze discrete spectrum conditions and ground state optimization.
Mixing Time of Open Quantum Systems via Hypocoercivity
Delve into quantum system mixing analysis through hypocoercivity theory, exploring novel frameworks for estimating mixing time without relying on traditional Lindbladian spectral gap methods.
Hardy Inequalities for Magnetic p-Laplacians
Explore Hardy inequalities for magnetic p-Laplacians in this mathematical conference talk, delving into advanced concepts and their applications in physics and analysis.
Powers of Discrete Laplacians and Hardy-Type Inequalities
Explore powers of discrete Laplacians and Hardy-type inequalities in this mathematical conference talk by Borbala Gerhat, delving into advanced concepts in mathematical physics.
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.
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.
Spectral Relaxations of the Persistent Rank Invariant - Applied Algebraic Topology Network
Spectral relaxations of persistent rank invariant: A framework for continuous relaxations, offering stability and differentiability while preserving key properties and enabling efficient GPU-parallelized computation.
Stability of Spectra Under Riemannian Manifold Coverings
Delve into advanced mathematical concepts exploring eigenfunction stability in Riemannian coverings, focusing on the relationship between manifold spectra and their pull-back properties.
Anomalous Skin Effects in Disordered Systems with a Single Non-Hermitian Impurity
Explore anomalous skin effects in disordered systems with non-Hermitian impurities. Discover scale-free localization, boundary accumulation, and potential applications in sensing and control of non-Hermitian systems.
Physical Limits of Non-Hermitian and Non-Reciprocal Devices
Explore physical limits of non-Hermitian and non-reciprocal devices, focusing on causality constraints, experimental protocols, and density of states in passive systems.
Chaos and Krylov Complexity
Explore the relationship between Krylov complexity and chaos in quantum systems, examining wave function evolution and transition probabilities to uncover universal behaviors in chaotic Hamiltonians.
Wigner's Semicircle Distribution as Limit Distribution
Explore the Wigner distribution as a limit of eigenvalue distributions in random matrices, with a focus on probability theory and mathematical analysis.
Families of Symmetries and the Hydrogen Atom
Explore symmetries in quantum mechanics and their application to the hydrogen atom, uncovering fundamental principles of atomic structure and quantum theory.