7067 papers
This paper proves that a function penalizing deviations from equilibrium is uniquely determined as the "canonical reciprocal cost" (the difference between arithmetic and geometric means of a ratio and its reciprocal) by combining a d'Alembert-type composition law with a single quadratic calibration, while also demonstrating the necessity of these assumptions for uniqueness and establishing stability properties.
This paper generalizes the reflection theory of Nichols algebras to arbitrary coquasi-Hopf algebras with bijective antipode by establishing a braided monoidal equivalence that links finite-dimensional irreducible Yetter-Drinfeld modules admitting all reflections to semi-Cartan graphs, a framework applied to prove that a specific rank three example constitutes an affine Nichols algebra.
This paper establishes a generic flatness result for the cohomology of thickenings of smooth projective schemes over characteristic zero Noetherian domains, while simultaneously demonstrating that for nine points in the projective plane, the associated local cohomology module fails to be generically free and possesses infinitely many associated prime ideals, thereby addressing open questions regarding the constancy of the least degree of hypersurfaces with prescribed multiplicities.
This paper constructs the Weil restriction map for mixed Weil cohomology theories and demonstrates its compatibility with the motivic cycle class map by proving that these constructions arise intrinsically from the six-functor formalism within triangulated categories of motives.
This paper analyzes a mechanochemical model of pattern formation in regenerating tissue spheroids, demonstrating that a feedback loop between mechanical stretching and morphogen production, coupled with global strain conservation, robustly generates stable single-peaked patterns through specific bifurcation structures without requiring a second diffusible inhibitor.
This paper presents an efficient algorithm that utilizes partial Gröbner basis computation and sparse interpolation to find simple generating sets for subfields of rational function fields, demonstrating improved performance and practical utility in applications like structural parameter identifiability.
This paper establishes explicit quantitative convergence rates for viscosity solutions of quasilinear parabolic equations under perturbations, including variations in the exponent and regularized approximations, by adapting standard comparison arguments to cover both singular and degenerate cases like the normalized and variational -parabolic equations.
This paper establishes a stability theorem for minimal projective resolutions of modules over finite metric posets by proving that a newly defined bottleneck distance between resolutions is bounded above by the Galois transport distance, thereby generalizing classical bottleneck stability to multiparameter persistence and providing a stability framework for Möbius homology.
This paper proposes minimax-optimal online conformal prediction algorithms for non-stationary data streams with distribution drift, utilizing drift detection to adaptively update calibration sets and leveraging model stability to achieve optimal training-conditional cumulative regret.
This paper explores the optimization of unimodular zerofree matrices as a means to find simple and efficient solutions to a matrix equation involving th roots of th powers.
This paper establishes sharp coefficient bounds for reciprocal antisymmetric polynomials with all zeros on the unit circle, provides explicit factorization formulas for the extremal cases involving derivatives of Chebyshev polynomials of the second kind, and derives a new identity expressing these derivatives as linear combinations of Chebyshev polynomials.
This paper extends Hacon–McKernan's rational chain connectedness theorem to the complex analytic setting using the minimal model program, thereby proving that fibers of resolutions of complex analytic Kawamata log terminal singularities are rationally chain connected without relying on extension theorems.
This paper establishes that the number of quasi-Fuchsian surface subgroups in finite-volume noncompact hyperbolic 3-manifolds grows asymptotically as , a result that implies a similar lower bound for purely pseudo-Anosov surface subgroups in mapping class groups, while also demonstrating the existence of infinitely many conjugacy classes of surface subgroups with accidental parabolics.
This paper investigates dualizing complexes on algebraic stacks, specifically establishing their existence for tame Deligne–Mumford stacks of equicharacteristic under very general conditions.
This paper establishes quantitative pathwise entropy bounds for a stochastic 2D vortex model on the whole space under moderate interactions by combining Donsker-Varadhan inequalities with localization techniques, and subsequently derives new energy estimates for the convergence of particle systems to the limiting process.
This paper demonstrates that the robust permutation flowshop problem under budgeted uncertainty can be solved by reducing it to polynomially many nominal instances, thereby establishing polynomial-time solvability for two machines and polynomial-time approximability for any fixed number of machines.
This paper establishes the persistence of boundary smoothness for vortex patches in the quasi-geostrophic shallow-water equations and demonstrates their local-in-time convergence to Euler solutions as the Rossby radius parameter tends to zero.
This paper establishes the local stability of the Betke-Henk-Wills conjecture under metric perturbations by deriving explicit, geometry-invariant bounds on the rotation radius that preserve the lattice point enumerator for integer boxes and identifying a sharp threshold for the invariance of integer hulls in -balls.
This paper establishes the Hölder regularity of harmonic functions on both bounded and unbounded post-critically finite (p.c.f.) self-similar sets by proving a generalized reverse Hölder inequality on their induced cable systems, utilizing a method that avoids heat kernel and resistance estimates.
This paper demonstrates that for exchangeable Bernoulli sequences, the first posterior moment alone is insufficient to uniquely determine multi-step predictive probabilities, revealing that martingale posterior frameworks generally fail to identify these distributions unless the conditional law of the terminal value is fully specified, as exemplified by Hill's A_n rule under a Jeffreys prior.