New Math & statistics papers
372 new Math & statistics papers appeared in the last 3 days. Pipette read every one, and these are the 60 with the broadest interest, a real step forward and careful claims. Each shows the sentence of its abstract that states the main result, exactly as its authors wrote it.
The best of the last 3 days
The Siren Call of Silicon Leviathan: Reflections on blowup and Aufkl\"arungsd\"ammerung
Since acceptance is the one sovereign sanction the companies cannot manufacture, it proposes a covenant in place of either boycott or capitulation: the community's cooperation given to that producer which strictly observes its practices of legibility, disclosure and responsibility, withheld from any that does not, and the covenant kept plural, with the history of the Indigenous nations among rival empires as its guide.
PreprintBroad interestPositive Sectional Curvature on All Smooth 7-spheres
We construct a smooth Riemannian metric with strictly positive sectional curvature on every smooth homotopy seven-sphere.
PreprintClaims a big stepThinning and sprinkling: from robust sampling to almost Hamiltonicity
We develop the thinning--sprinkling technique, a general method for proving robustness of graph properties under random vertex sampling.
PreprintConvergence analysis of a numerical scheme for the Cahn-Hilliard-Navier-Stokes system with dynamical boundary condition and its application to moving contact line problem
In our knowledge, this work provides a theoretical proof of convergence analysis and error estimate for a numerical scheme to the moving contact line problem, for the first time in the literature.
PreprintClaims a big stepAsymptotic Balance and Structural Rigidity in the Riemann Zeta Function
Consequently, every nontrivial zero must satisfy Re(s)=1/2.
Preprint with a published versionBold claims, read criticallyClaims a big stepA unified framework for estimating direct causal effect under spatial confounding and interference, with the R package spaci
We develop a unified framework that treats both simultaneously.
PreprintReal-world useEigenvalue and Eigenvector Approximation for Random Matrices Using Low-Degree Polynomials
For spiked GOE , we identify to be the critical degree threshold above which accurate approximation of the top eigenvalue and eigenvector is possible.
PreprintPhylodynamic inference with the bounded coalescent: a point process perspective
We then develop a Markov chain Monte Carlo procedure for posterior inference of effective population size trajectories that avoids discretization of the likelihood integrals.
PreprintFunctional dynamic mode decomposition: Learning infinite-dimensional systems from data
We extend projected and exact DMD to infinite-dimensional systems.
PreprintGlobal well-posedness and scattering for the three-dimensional focusing energy-critical NLS
We prove global well-posedness and scattering for the three-dimensional focusing energy-critical NLS below the ground-state energy and gradient thresholds, confirming the threshold conjecture in dimension three.
PreprintProof of the positive trace gap conjecture
We prove that a lattice in or has positive trace gap, meaning that its traces are uniformly separated, if and only if it is derived from an admissible quaternion algebra.
PreprintA solution to Michael's problem for Fr\'echet algebras
We prove that every character on a commutative complex complete Hausdorff locally multiplicatively convex algebra, not necessarily unital, is bounded on bounded sets.
PreprintClaims a big stepGRACE: A General, Exact Changepoint Calculus
We introduce GRACE, the General Regime-Aware Changepoint Estimator, for an -penalized problem that jointly selects the number and locations of changepoints, segment forms, transition types, and continuous parameters.
PreprintAnchored Extra-Proximal Methods: Optimal Higher-Order Methods for Monotone Inclusion Problems
For every , assuming that the th derivative of the single-valued operator is Lipschitz continuous, we combine this construction with a bisection line search to obtain a th-order method that finds a point with tangent residual at most in oracle calls.
PreprintLearning Operators of Geometry with an Interface Autoencoder
In this paper, we first establish an approximation theorem for continuous operators between general state sets.
PreprintOn the degenerate Weyl problem on isometric immersions
We establish two results on the degenerate Weyl problem, namely when the Gaussian curvature is only nonnegative rather than strictly positive.
PreprintClaims a big stepOptimal sequential decision-making with initiation regimes
These regimes follow human decision-makers up to the point where it becomes more beneficial to initiate a sequential optimal regime, and are guaranteed to outperform both purely human and purely algorithmic decision rules, e.g., based on reinforcement learning algorithms.
PreprintReal-world useOn the Minimum Number of Linear Pieces Required to Approximate Nonlinear Functions under an Accuracy Constraint
We provide new best upper bounds for the classical instance set in R2 and we derive the first lower bounds for these instances, closing more than a third of the instances from the literature.
PreprintDisproof of a Conjectured Upper Bound for the Davenport Constant
In this paper, we disprove this conjecture.
PreprintBounded-orbit wandering domains do not exist
This paper establishes that transcendental entire functions do not have wandering Fatou components whose forward orbit is bounded.
PreprintStatistical Inference for Causal Discovery under Selection and Latent Variables via Single-Target Interventions
We develop a model-free and constraint-query optimal statistical inference framework for causal discovery under latent variables and selection using single-target interventions.
PreprintGeoDose-CP: Graph-Local Conformal Inference for Continuous-Treatment Earth Observation
This study presents GeoDose-CP, a support-aware conformal framework for localized stochastic potential outcomes under continuous or mixed continuous-atomic treatment.
PreprintHybrid Models for Short-Term Sea-Level Forecasting
Results reveal that hybrid models reduce forecast errors by 52.9-54.9% on average relative to HA.
PreprintReal-world useTessellated Isotropic Elastic Lattice Spring Model for Quasi-Brittle Fracture
We propose a tessellated Isotropic Elastic Lattice Spring Model (IELSM) that discretizes continua into polygonal elements with axial springs and a volumetric constraint, achieving isotropic elasticity on arbitrary polygonal tessellations.
PreprintOn degeneration of tetrahedra under longest-edge n-section refinement
For every integer , we construct explicit tetrahedral counterexamples showing that repeated longest-edge (LE) n-section refinement does not, in general, preserve shape regularity, contrary to long-standing conjectural expectations.
PreprintDesigning collective behaviour within a fixed coarse-grained description
Here we develop a method to identify and use such variations for collective-state design.
PreprintBoolean threshold functions, neuron capacity, and memory retrieval
In this paper, we show that the number of distinct Boolean threshold functions is \[ T_n=2\binom{2^n-1}{n}\bigl(1+O(n^{-99})\bigr).
PreprintReflective projective billiards in the plane: odd periods, period five, and metric rigidity
We give a single explicit family with an open set of periodic trajectories for every period at least three, including every odd period, and identify the previously known centrally projective examples as a special parameter value.
PreprintSufficiently Reduced Distributional Regression
We propose Sufficiently Reduced Distributional Regression (SRDR), a generative method that combines conditional distribution estimation with nonlinear sufficient dimension reduction (SDR).
PreprintReal-world useThe Marcus-Minc Transform Inequality
Then the permanent of A is at least the permanent of the new matrix.
PreprintGeneric Structural Stability for Riemann Solutions to Systems of Hyperbolic Conservation Laws
This paper proves generic structural stability for Riemann solutions to systems of hyperbolic conservation laws in one spatial dimension.
PreprintElucidating the Conformal Structure of the Brinkman Penalisation Method for Geometry-Adapted, Structure-Preserving Operator Learning of Hamiltonian PDEs
We show that multi-symplectic Hamiltonian PDEs regularised by Brinkman-type penalisation retain a multi-conformal symplectic structure under a compatibility condition linking the symplectic matrix and the penalisation projection.
PreprintThe coarse Erd\H{o}s-P\'{o}sa theorem
We prove the coarse Erd\H{o}s-P\'{o}sa conjecture of Georgakopoulos and Papasoglu.
PreprintStopping models closed under pgf composition, and the stability of randomly stopped model extensions
We characterize the complete set of stopping models for which randomly stopped sum and extreme model transformations function as statistically stable (idempotent) model extensions.
PreprintThe r-Safety Reserve and Adaptive Kinematic Smoothing for Car-Following Transitions
This paper develops such a connection through r-Safety and Adaptive Kinematic Smoothing (AKS).
PreprintReal-world useClassical Sufficiency in Quantum Statistical Experiments
We introduce quantum-to-classical sufficiency: relative to a prescribed measurement class, a measurement is sufficient if its induced classical experiment Blackwell-dominates those from every other measurement in the class.
PreprintThe H\"older interpolative gap bound for degenerate parabolic double phase problems
If the solution itself is H\"older continuous with exponent , we prove higher integrability of its gradient under the gap condition together with .
PreprintMulti-Agent Orchestration of 3GPP Channel Estimators
The orchestrator tracks the per-realization oracle to within ~dB and improves the normalized mean-square error (NMSE) over the best fixed strategy by up to ~dB at high SNR, where the low-SNR champion is no longer optimal.
PreprintReal-world useA Combinatorial Proof of Hilton's Conjecture and Beyond
Using refined absorption, we prove that for every integer and real , and for sufficiently large , there exists an -spread distribution on Latin squares of order and girth at least that have no proper subsquares.
PreprintSterile Insect Technique in a Metapopulation Model. Impact of Network Structure, Male Annihilation Technique and Entomopathogenic Fungi on the Release Strategies
The main contribution of this work is to identify efficient spatial release strategies for population elimination under practical constraints, in combination with other control methods.
PreprintReal-world useFaber-Walsh field expansions for the planar conductivity problem with multiple inclusions
We derive an explicit Faber-Walsh representation for the planar conductivity problem with finitely many disjoint inclusions of general shape and independently chosen positive conductivities.
PreprintOn Fast-Slow Mean-Field Forward-Backward Stochastic Systems
We establish an averaging principle for a class of multiscale mean-field forward-backward stochastic differential equations and identify several novel phenomena that are absent from classical fast-slow systems.
PreprintOrthonormal Strichartz estimates for the Schr\"odinger equations with Hamiltonian on Wiener amalgam spaces
We then extend these improved Strichartz estimates from a single initial datum to systems of orthonormal families, providing, to the best of our knowledge, the first results in this direction in the setting of Wiener amalgam spaces.
PreprintRicci entropy, RCD structures and Kahler spaces
We show that a lower bound for the Ricci current in the sense of pluripotential theory is equivalent to a synthetic Ricci lower bound in the sense of RCD theory.
PreprintHigh Rank and Multiplicity in Random and Perfect Profinite Groups
We prove that almost sure topological finite generation holds for a general class of random models of profinite groups.
PreprintExact finite-sample geometry of the Jarque-Bera statistic: support, discriminants and elliptic integrals
We use this geometry to obtain exact finite-sample results for the Jarque-Bera statistic .
PreprintUnit commitment constrained Nash equilibrium in power markets
This paper considers unit commitment constrained Nash equilibria.
PreprintThe risks of dichotomising ordinal outcomes: A spatial analysis of self-rated health in Western Europe
Assigning "fair" health to either side of a binary cut-off changes the regions identified as having above-average levels of less favourable health.
PreprintA nonmonotone globalization framework for Anderson acceleration for contractive and nonexpansive fixed point problems
We propose a nonmonotone globalized Anderson acceleration framework that retains the local acceleration of AA while ensuring global convergence.
PreprintA quasisymmetric analog of Grassmannian Schubert varieties
We show that the cohomology rings of toric Richardson varieties in the Grassmannian are finite truncations of the ring of quasisymmetric functions.
PreprintBayesian joint modeling of longitudinal patient-reported outcomes and survival: an application to chronic obstructive pulmonary disease
We propose a Bayesian joint model combining a beta-binomial mixed-effects submodel with a Weibull proportional hazards submodel, linked through the subject-specific response probability.
PreprintReal-world useA Secondary Multiplicative Structure on Lawson Homology
We introduce a new secondary operation on Lawson homology of smooth complex projective varieties.
PreprintFDR-Controlled Variable Selection for Generalized Linear Models and Cox Regression with Virtual Dummies
We propose a memory-efficient selection procedure with FDR control for generalized linear models and Cox regression by extending the recently developed virtual dummy construction to score-based forward selection for Bernoulli, Poisson, multinomial and Cox responses.
PreprintA Peterson program for general Schubert varieties and mirror symmetry
We initiate a `Peterson program' that seeks to extend Dale Peterson's theory for the quantum cohomology of flag varieties to arbitrary Schubert varieties, and that incorporates a mirror-symmetric approach.
PreprintAntichain polynomials of products of chains and minuscule posets
We show that, for every connected minuscule poset , if the antichain polynomial of is palindromic, then it has only real and strictly negative zeros.
PreprintLong Time Behaviour of the Two-Component Becker-D\"oring System
We rigorously prove that all initial conditions admit a solution minimising the relative entropy as time approaches infinity.
PreprintUniform Tur\'an estimates and sharp bounds for degree and mixed orbit growth
We prove that these exponents are coupled across three adjacent codimensions: strict log-concavity of at forces , while equality gives \[ 0\ \le\ 2\mu_i-\mu_{i-1}-\mu_{i+1}\ \le\ 4 .
PreprintGlobal well-posedness of defocusing cubic NLS in
We prove global well-posedness of the one-dimensional defocusing cubic nonlinear Schr\"odinger equation in the modulation space .
PreprintPK/PD-integrated Bayesian platform design for phase II dose regimen optimization
PK/PD-informed platform designs can improve adaptive regimen selection and knowledge generation when dose alone cannot adequately characterize treatment regimens.
PreprintReal-world useRecurrence and transience of random walks on monotonically changing environments
We prove that if and is recurrent (respectively, is transient), then is almost surely recurrent (respectively, transient), i.e., visits every vertex infinitely (respectively, finitely) often.
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