318 papers
This paper proposes a probabilistic reconstruction method that enhances the "Advection of the image point" hyper-parameterisation approach to accurately and efficiently approximate ocean dynamics from limited data, demonstrating superior speed and accuracy compared to traditional high-resolution NEMO model simulations while offering potential applications in operational forecasting and data gap filling.
This paper derives an explicit, non-asymptotic formula for the expected Lipschitz-Killing curvatures of excursion sets for arbitrary left-invariant Gaussian spin spherical random fields on with respect to an arbitrary metric, providing a general framework applicable to non-degenerate Gaussian fields on three-dimensional compact Riemannian manifolds for analyzing Cosmic Microwave Background polarization.
This paper proposes that the patterns of spontaneous symmetry breaking and vacuum degeneracy in scalar and gauge field systems can be qualitatively classified by modeling the vacuum manifold as a principal groupoid bundle and analyzing the singular foliation it induces on the moduli space of vacuum expectation values.
This paper establishes new, improved, single-letter upper bounds on the error exponents for quantum state and channel exclusion tasks by introducing a multivariate barycentric Chernoff divergence, which also yields the first efficiently computable bound for symmetric binary channel discrimination and solves the exact error exponent for classical channel exclusion.
This paper extends Nielsen's Theorem on LOCC ordering to bipartite quantum systems described by commuting von Neumann algebras, establishing a one-to-one correspondence between the classification of factors (types I, II, and III) and their operational entanglement properties, such as infinite single-shot entanglement and the ability to transition between arbitrary pure states with arbitrary precision.
This paper defines a fractional Ito stochastic integral with respect to a randomly scaled fractional Brownian motion using an -transform approach, establishes the corresponding Ito formula, and applies it to investigate generalized time-fractional evolution equations.
This paper investigates the one-dimensional stochastic porous medium equation with additive white noise, combining functional renormalization group predictions and extensive numerical simulations to characterize its growth exponents, anomalous scaling, and multiscaling properties, while identifying its stationary measure with a random walk model related to a Bessel process.
This paper demonstrates that arbitrarily small odd-parity perturbations fundamentally alter the topology of zero-helicity vortices and field-reversed configurations by transforming their interior flux surfaces from toroidal to simply connected, thereby necessitating a revision of established models in both fusion confinement physics and fluid dynamics.
This paper establishes the well-posedness, instantaneous separation, and long-time convergence to stationary states for a two-dimensional bulk-surface Cahn--Hilliard model with non-degenerate mobility and singular potentials, utilizing a novel regularity theory for bulk-surface elliptic systems to prove uniqueness and continuous dependence.
This paper investigates the resurgent structure of the topological string dual to 2d Yang-Mills theory on a torus by deriving closed-form formulas for instanton amplitudes to propose a real non-perturbative partition function and identifying two infinite towers of complex instantons corresponding to BPS states in type II string theory.
This paper establishes that the uniqueness of quantum state purifications up to local unitary transformations is mathematically equivalent to Haag duality (), demonstrating that this uniqueness can fail in infinite-dimensional systems even when local tomography is possible.
This paper derives analytical or semi-analytical bounds on finite-size secret-key rates for discrete-modulation continuous-variable quantum key distribution under Gaussian attacks by computing Petz-Rényi and sandwiched Rényi conditional entropies, offering tighter estimates for short block sizes compared to existing methods.
This paper investigates the existence and form of Onsager-Machlup functionals for measures in dimensions , demonstrating that they recover the standard action in one and two dimensions (using enhanced distances) while proving degeneracy in three dimensions unless specific joint limits are considered.
This paper presents a new formulation of extended lubrication theory and demonstrates through comparison with existing models and numerical Stokes solutions that its accuracy depends significantly on surface variation magnitude and length scale ratio, making it suitable for a wide range of fluid domain geometries.
This paper generalizes Carrollian Lie algebroids to the framework of -commutative (almost commutative) geometry via -Lie-Rinehart pairs, establishing foundational analogues for Carrollian structures and demonstrating their application through explicit constructions on the extended quantum plane and the noncommutative 2-torus.
This paper rigorously proves that the adiabatic theorem remains valid for diagonalizable non-Hermitian quantum systems with real eigenvalues by employing the complex geometric phase, biorthogonal functional calculus, and the Grönwall inequality, thereby justifying the definition of a complex Berry phase in such systems.
This paper establishes the integrability of a family of SYK models with uniform -body interactions by deriving their exact spectra and demonstrating that their underlying R-matrix corresponds to that of the critical transverse-field Ising chain, thereby revealing a profound connection between quantum chaos and statistical mechanics.
This paper classifies the irreducible anyon sectors of Levin-Wen models over an arbitrary unitary fusion category by establishing a one-to-one correspondence with simple objects of the Drinfeld center and constructing explicit string operators via Drinfeld insertions to excite these anyons.
This paper establishes a geometric control framework for boundary-catalytic branching processes by utilizing a Steklov spectral problem to determine the critical absorption rates required to balance population growth and achieve a steady state, while identifying a threshold beyond which such control becomes impossible.
This paper addresses the previously unexamined issue of volume divergences in the measure for Quadratic Gravity, demonstrating that these divergences cancel in the extremal limit similar to General Relativity, while also reviewing the complexities of renormalization in curved space and the conditions under which non-invariant measures can be justified.