Research field
Mathematics, probability, statistics, data science, and modeling.
A computational preprint reports 84 improved upper- and lower-bound cases for q-ary covering codes across 83 parameter cells, with exact checks on codes and certificates but several unresolved gaps.
Scientific publication4 min read
An arXiv preprint identifies the order conditions behind derived window convolutions, shows how branching can disrupt their composition, and finds rooted forests where the construction supports an interleaving distance.
Scientific publication4 min read
The paper builds an exact-category model for derived tensor kernels and shows, through constructed examples, why higher-term cases can escape ordinary-ring descriptions.
Scientific publication4 min read
A mathematical preprint reports that the cone's frequency separates two regimes: global solutions are ruled out at or above it and form an ordered family below it.
Scientific publication3 min read
A theoretical number theory study finds that integers meeting several inequalities built from Euler's totient, Dedekind's and sum-of-divisors functions form a vanishing share of all integers.
Scientific publication4 min read
A mathematical preprint explains how certain random valuations can be represented through Lévy measures, geometric jumps and stable components, while warning that its isotropic result is only weakly equivalent.
Scientific publication4 min read
A theoretical study builds regular graph families that satisfy expansion conditions yet have no cycle covering more than a small fraction of all vertices. The constructions do not settle the same question for robust expanders.
Scientific publication4 min read
A mathematics preprint maps a repetition-based exponent for infinite words, finding every value from 1 to infinity over three symbols and a probability-one value of 1 under Bernoulli measure.
Scientific publication3 min read
The paper builds arithmetic de Rham and Hyodo-Kato stacks, then proves categorical links to rigid cohomology, isocrystals, D-modules and related arithmetic operations under stated assumptions.
Scientific publication4 min read
A mathematical preprint classifies covariance denominators that can support exact Gaussian ratio laws and shows why other formulas lose stability or interval precision near weak identification.
Scientific publication5 min read
The paper classifies a diagonal operator, separates two geometric tests, and extends its stochastic-convolution analysis to the Laplacian.
Scientific publication4 min read
A proof-based analysis of stratified Lie groups finds uniform control for the full horizontal Riesz transform through p = 2, but no universal high-p bound.
Scientific publication4 min read
A new counting construction improves the rigorous lower bound for the growth rate of permutations avoiding the pattern 1324, while leaving the exact growth rate unknown.
Scientific publication3 min read
A theorem-proving paper reports an affirmative answer to Tarski's general finite-coefficient sum problem and classifies the commutative semigroups that can be represented through ordered sums of linear orders.
Scientific publication4 min read
Every qualifying pair of tournaments has an intersection discrepancy on the n to the three-halves scale, with related density-dependent bounds for oriented graphs and fixed families.
Scientific publication4 min read
An arXiv preprint reports an exact Hausdorff-dimension result for the extreme points of a random stable zonotope and finds that the measure at that dimension is finite.
Scientific publication4 min read
A raw-data model called STRATA led six matched sequence models in a 2024 test of Chinese stocks. But when the return target was restricted to the session after the signal, its long-short spread was indistinguishable from zero.
Scientific publication5 min read
A mathematical analysis controls a non-closing operator flow and bounds the error in approximate diagonalization for generalized spin-boson systems.
Scientific publication4 min read
A mathematical framework reduces symmetric time-dependent Hamiltonian systems while preserving their principal-bundle structure, with results illustrated by two mechanical examples.
Scientific publication3 min read
A computational methods preprint reports robust conditioning for a two-level solver in high-contrast multiscale benchmarks, with a much smaller coarse space in selected time-step regimes.
Scientific publication4 min read
The analysis gives different corruption ceilings for Massart and oblivious noise, then translates them into per-iteration sampling requirements and simulation checks.
Scientific publication4 min read
A mathematical preprint sets a vertex limit for minimal forbidden graphs, identifies the complete forbidden set at a threshold of 3, and narrows the shapes allowed by forests and short cycles.
Scientific publication4 min read
A finite-field proof establishes the product-size bound in a large dimension-gap regime and shows that equality requires one shared line across every family.
Scientific publication4 min read
A theoretical preprint uses a metric on prelattices to complete higher-rank spaces with lower-rank strata, then compares its boundary-vanishing cusp forms with two existing formulations.
Scientific publication4 min read
A mathematical transport study reports strict source-iteration acceleration from a transport-matched diffusion correction, while its approximation discrepancy scales with effective cell Knudsen number.
Scientific publication4 min read
A mathematical methods preprint describes how to classify indecomposable objects in equal-rank rank-two Lusztig-Vogan categories, recover their W-graphs and test a computational procedure on reported examples.
Scientific publication3 min read
A mathematical construction gives three-dimensional normal Q-Gorenstein varieties with minimal log discrepancy one and Cartier index equal to any chosen positive integer, challenging Shokurov's index conjecture in the non-klt setting.
Scientific publication4 min read
A theorem for a planar Neumann reaction-diffusion model finds that sufficiently large diffusion recovers the scalar pattern of decay, threshold behavior and blow-up across bounded H1 data, while the worst-case stabilization cost grows on an exponential scale set by the square of the H1 radius.
Scientific publication4 min read
A preprint reports that a partially collapsed particle-learning sampler mixed well in synthetic models and showed better autocorrelation-based mixing than JAGS in one Norway hospitalization analysis, with the authors warning against broad generalization.
Scientific publication4 min read
A mathematical preprint connects the diagonal F-threshold of a graph's binomial edge ideal to features such as matchings, independent sets and clique matchings.
Scientific publication4 min read
In one 10-variable quarterly exercise, non-centred stochastic volatility scored higher on density forecasts than centred stochastic volatility, but point accuracy was nearly unchanged.
Scientific publication4 min read
A computational study reported faster convergence for a new graphene phonon-transport solver, with the biggest gains appearing as conventional iterations slowed at larger length scales.
Scientific publication4 min read
A version 1 arXiv preprint presents a conditional route for excluding non-trivial solutions of a generalized Fermat equation at sufficiently large prime exponents. Its imaginary quadratic example lists three relevant unit solutions and reports relative density 5/6 among squarefree positive integers.
Scientific publication4 min read
A mathematical preprint describes a new family of permutation group polynomials over finite fields of odd characteristic. It pairs the family with an explicit companion, distinguishes it from known families considered in the paper, and gives exact counts for the new and three specified earlier families.
Scientific publication3 min read
A theorem-driven study gives coefficient, growth and function-space bounds for K-quasiconformal harmonic mappings, while leaving key sharpness questions open.
Scientific publication4 min read
A mathematical preprint derives a boundary observability estimate for critically singular wave equations on general domains. The theorem depends on convexity and a sufficiently long observation time, and the authors say it does not establish boundary controllability.
Scientific publication5 min read
A mathematical preprint develops an unbiased idealized estimator and a two-stage randomized variant, then tests truncated versions on kernels and spectral filters.
Scientific publication5 min read
A theoretical study finds that characteristic polynomials and trace statistics of self-normalized random matrices settle into a family of Poisson-type limits, with a Gaussian form at the boundary.
Scientific publication4 min read
A theoretical analysis finds that exact calibration does not make two-sided p-values unique. Symmetry forces several methods to agree, while numerical examples show large differences in asymmetric models.
Scientific publication4 min read
A mathematical preprint shows that associated-prime sets for powers of monomial ideals need not move in one direction: the maximal ideal can appear and later disappear.
Scientific publication4 min read