318 papers
This paper derives a universal large- expression for torus knot invariants in lens spaces by relating them to invariants in , revealing a quiver partition function structure that allows for the direct identification of the underlying quiver associated with these knots.
This paper systematically classifies and enumerates 18 exotic three-dimensional linear elastic structures that exhibit higher symmetry in their mechanical response than their intrinsic material symmetry, providing a framework for designing metamaterials with tailored properties like directional isotropy.
This paper establishes an explicit quasi-isomorphism between the cyclic -algebras of semi-holomorphic Chern-Simons theory and the principal chiral model, thereby deriving the Lax connection and demonstrating a concrete homotopy algebraic approach to the integrability of two-dimensional systems.
This paper presents a unified framework based on a reformulated Indicial Umbral Theory to study the properties and generalizations of the Le Roy, Lerch, and Legendre chi functions, while incorporating the Borel-Le Roy transform to extend the formalism to divergent series via resummation techniques.
This paper proves that the grand canonical Gibbs state of an inhomogeneous two-dimensional interacting Bose gas converges to the renormalized Euclidean field theory in the high-density, short-range interaction limit, overcoming significant mathematical challenges posed by the need for divergent counterterm functions rather than simple scalars due to the presence of a trapping potential.
This paper characterizes quantum supermaps through the concept of locally-applicable transformations, a definition based solely on sequential and parallel composition that generalizes them to arbitrary monoidal categories and operational probabilistic theories while establishing a one-to-one correspondence with deterministic supermaps.
This paper proposes a family of conjectural tautological relations in the moduli spaces of stable curves, characterized by tree-like stable graphs decorated with psi-classes, which imply fundamental properties of Dubrovin-Zhang and double ramification hierarchies and are proven for the cases of one marked point or genus zero.
This paper extends Ding and Smart's 2020 Anderson localization results for random Schrödinger operators on the 2D lattice to non-identically distributed potentials by replacing the identical distribution assumption with uniform bounds on the essential range and variance, utilizing Bernoulli decompositions to establish a quantitative unique continuation principle and Wegner estimate that prove localization at the bottom of the spectrum.
This paper demonstrates that the operator entanglement spectrum serves as a powerful diagnostic tool to distinguish between classical reversible automaton dynamics and fully quantum chaotic dynamics, revealing that the former follows Bernoulli random matrix statistics while the latter follows Gaussian statistics, and showing that introducing a constant number of superposition-generating gates is sufficient to drive automaton circuits into the universal random-circuit chaos class.
This paper introduces a graded bracket of forms on multicontact manifolds that satisfies a graded Jacobi identity and Leibniz rules, utilizes multisymplectization to connect these structures to multisymplectic geometry for deriving field equations, and applies these findings to analyze observable evolution, dissipation phenomena, and classical dissipative field theories.
This paper investigates generic graded contractions of Lie algebras through the lenses of group cohomology, affine algebraic geometry, and monoidal categories, establishing their classification by an abelian group, characterizing their role in graded degenerations, and proving a functorial version of the Weimar-Woods conjecture.
This paper establishes a quenched large deviation principle for Birkhoff-like sums arising from random quantum measurements driven by an ergodic process and applies this result to analyze entropy production within the two-time measurement framework.
This paper proposes a novel method utilizing entangled quantum walks to completely eliminate decision conflicts in three-player scenarios, thereby overcoming previous limitations in collective decision-making applications like traffic and server load management.
This paper establishes the theoretical framework for solving axial symmetric Navier-Stokes equations in a cylindrical topology by constructing a complete basis of harmonic 1-forms comprising Beltrami, anti-Beltrami, and closed components, thereby reducing the problem to a hierarchy of quadratic relations suitable for future optimization via Physics-Informed Neural Networks.
This paper reviews the contributions of the late Manuele Filaci to the noncommutative geometry description of the Standard Model, demonstrating how minimal twists induce a Krein space structure on the spectral triple's Hilbert space and reveal the twistor symmetry group as a subgroup of the resulting unitary group.
This paper establishes that for planar random curves in domains with rough boundaries, the operations of taking weak limits and applying conformal maps commute, thereby confirming that the conformal image of a limit curve is the limit of the conformal images under minimal boundary regularity assumptions.
This paper establishes that the local scaling limit of multiple boundary-to-boundary branches in a uniform spanning tree is a local multiple SLE(2) process, a result derived by constructing a weighted martingale observable that relies on the discrete domain Markov property and the convergence of partition functions.
This paper proves that the height function of the six-vertex model with parameters and $1 \le c \le 2c > 2$.
This paper introduces formal multiparameter quantum universal enveloping algebras (FoMpQUEA) as a generalization of Drinfeld's quantum groups, demonstrating that they are closed under toral twists and 2-cocycle deformations, establish a bijective correspondence with multiparameter Lie bialgebras via quantization and semiclassical limits, and prove that specialization and deformation processes commute.
This paper presents a concise new computation of pairing probabilities for multiple chordal interfaces in various critical models by leveraging the convexity and a newly established uniqueness property of local multiple SLE measures.