312 papers
This paper proposes a novel indicator function for reconstructing acoustic sources from multi-frequency near-field measurements, utilizing a Radon transform-based formula to directly recover the source function with verified efficiency and robustness.
This paper develops and applies the Batalin-Fradkin-Vilkovisky (BFV) formalism to quantize off-diagonal solutions of Einstein's equations on Lorentz manifolds with nonholonomic fibrations, demonstrating that these solutions encode Hořava-Lifshitz configurations with anisotropic scaling and effective cosmological constants in the quasi-classical limit.
This paper establishes three distinct representations for the flat space wavefunction derived from a graph , proving their correctness by linking the wavefunction to the canonical form of the cosmological polytope and confirming a conjecture regarding its partial fraction decomposition in terms of connected subgraphs.
This paper provides an explicit description of the phase space stratification for Calogero-Moser-Sutherland systems associated with , demonstrating that each positive-dimensional symplectic stratum is symplectomorphic to and admits natural action-angle coordinates.
This paper investigates the asymptotic symmetry structure of Jackiw-Teitelboim supergravity within a BF framework, demonstrating how the dilaton supermultiplet dynamically reduces the affine symmetry to a specific subalgebra with an abelian ideal, thereby providing a consistent bulk-based framework for studying boundary dynamics beyond the Schwarzian regime.
This paper establishes a general mathematical framework for variational problems in quantum thermodynamics with measurement constraints, leveraging non-commutative optimal transport to analyze dual formulations and zero-temperature limits while tailoring the approach to quantum state tomography and developing convergent computational algorithms.
This paper establishes an up-to-constant estimate for the critical two-point function restricted to a half-space in high-dimensional Bernoulli percolation (), thereby completing prior work by Chatterjee, Hanson, and Sosoe and resolving a specific question posed by Hutchcroft, Michta, and Slade.
This paper proves that for finite-dimensional quantum systems undergoing single-branch collapse dynamics without information erasure, operational irreversibility is structurally impossible because every physically admissible collapse selector contains a forward-invariant subset of states that can be connected with arbitrarily high precision and negligible energy cost, thereby establishing islands of quasi-reversibility.
This paper extends the probabilistic construction of Kähler-Einstein metrics to Fano manifolds with non-discrete automorphism groups by introducing Gibbs polystability and symmetry-breaking via moment map constraints, conjecturing its equivalence to metric existence and the emergence of unique metrics in the large-N limit, while proving these results for log Fano curves and deriving a strengthened logarithmic Hardy-Littlewood-Sobolev inequality with optimal stability constants.
This paper introduces an intrinsic deformation of smooth function algebras on compact Riemannian manifolds via spectral channel twisting, establishes conditions for its extension to Sobolev algebras and associativity, and demonstrates that classical strict deformations arising from abelian group actions are unified as specific instances of this framework.
This paper defines a compactification of the parameter space for the quantum multiplication of hypertoric varieties, following deConcini and Gaiffi, and demonstrates how to extend this multiplication to the compactified space.
This paper proves that the discrete Dirichlet-to-Neumann operator uniquely determines edge conductivities on multi-dimensional hypercubic lattices (dimension three or higher) by employing a novel slicing technique, thereby extending the classical two-dimensional uniqueness result of Curtis and Morrow.
This paper establishes a non-unitary version of the Bisognano-Wichmann property and proves Haag duality for nets of smeared Wightman fields by deriving Tomita-Takesaki-like results directly from Wightman axioms, thereby extending these fundamental algebraic quantum field theory concepts to non-unitary theories where traditional Hilbert space functional analysis tools are unavailable.
This paper establishes a bridge between homotopy type theory and information theory by defining probability types, demonstrating that homotopy cardinality respects dependent sums but not products, and deriving Shannon entropy and its chain rule as the homotopy cardinality of specific types constructed via deloopings of finite cyclic groups.
This paper investigates fluctuations in Coulomb gases under specific external potentials, proving that particle counts near spectral outposts follow an asymptotic Heine distribution while those near disconnected droplet components exhibit discrete normal fluctuations, ultimately characterizing general linear statistics as a sum of Gaussian and oscillatory discrete Gaussian fields.
This paper demonstrates that twisted sectors in the vanishing cohomology of one-parameter deformations of Calabi-Yau type Fermat polynomial singularities, along with the genus zero Gromov-Witten generating series of the corresponding varieties, are components of automorphic forms for certain triangular groups, utilizing mixed Hodge structures, the Riemann-Hilbert correspondence, and genus zero mirror symmetry.
This paper rigorously establishes the gap property for linearized operators associated with the cubic nonlinear Schrödinger equation in three dimensions by proving, via a new comparison-based approach, that the interval contains no eigenvalues and that no resonances exist at the bottom of the essential spectrum, even in the fully non-radial case.
This paper utilizes a covariant spinor moving frame quantization of type IIA and IIB superparticles to reveal a hidden symmetry in linearized supergravity, demonstrating that both theories can be described by identical analytic on-shell superfields and superamplitudes while highlighting specific challenges in extending this formalism to include D0-branes.
This paper systematically investigates kink solutions in two-component scalar field theories with quartic potentials using the Bogomolny formalism, demonstrating that generalized superpotentials yield new models featuring continuous families of composite kinks with nontrivial internal structures.
This paper introduces and analyzes a broad class of continuous directed polymers in driven by Gaussian environments, establishing their structural properties, proving a sharp measure-theoretic dichotomy regarding their relation to Wiener measure, and demonstrating diffusive behavior in high dimensions and high temperatures, thereby extending the Alberts--Khanin--Quastel framework to higher-dimensional settings.