Research field
Mathematics, probability, statistics, data science, and modeling.
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
STRATA ranked stocks better than six matched sequence models after style adjustment, but the apparent trading payoff came mainly from an overnight move that preceded the executable session.
Scientific publication6 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 preprint reports a rigorous framework for approximate diagonalization of generalized spin-boson models, with an explicit bound on the remaining operator error.
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
An exact preprint finds that A4 and B4 admit a special vertex, while D4 and F4 do not. Three intermediate arrangements in the B4 deletion chain also pass the test, while the defect results remain limited to the named cases.
Scientific publication5 min read
The results sharply restrict which derivations can remain locally finite, while the differential cases depend on the degree and square-free status of a defining polynomial.
Scientific publication5 min read
Researchers propose a formal reduction method for time-dependent Hamiltonian systems whose symmetries can translate time, with worked examples showing how its conserved quantities behave.
Scientific publication4 min read
A mathematical preprint reduces operators on two finite groups to named families and adds structural results on centers, bijectivity, constructions and splitting.
Scientific publication4 min read
A formal mathematical preprint reports equality between the two constructions and traces it through algebraic factors, modules and knot normalization.
Scientific publication3 min read
A theorem-driven analysis develops ways to track first-order changes in solution sets for split-feasibility problems and use them in optimization.
Scientific publication6 min read
A new mathematical preprint shows that the Fourier coefficients of the canonical critical Gaussian multiplicative chaos on the circle tend to zero at high frequencies almost surely. The proof uses auxiliary random fields, concentration estimates and a covariance correction, but it does not establish a decay rate for the original coefficients.
Scientific publication4 min read
A new mathematical preprint gives a complete test for atomless distance distributions and describes the shape of spaces that can realize them.
Scientific publication4 min read
An arXiv preprint extends the topological Halmos-von Neumann framework to open abelian group bundles, connecting compactifications with dual sheaves, point spectra and dynamical systems while marking clear limits.
Scientific publication4 min read
A mathematical preprint states that locally bounded weak solutions in a class of nonlocal equations are locally Hölder continuous when the interaction measure meets specified structural conditions.
Scientific publication4 min read
A new mathematical preprint gives a conditional route from a well-behaved 2-sphere boundary to a Kleinian group with peripheral subgroups virtually isomorphic to the two-dimensional integer lattice.
Scientific publication4 min read
A new mathematical preprint reports a proof of Mühlherr’s Twist Conjecture and an algorithmic answer to the isomorphism problem for Coxeter groups.
Scientific publication4 min read
A preprint examines the Roberts–Street nerve of the walking coinductive equivalence. It finds the nerve is non-contractible in one formal homotopy theory, while every nonnegative thinification and the left-category reflection are contractible.
Scientific publication3 min read
A mathematical preprint reports unusually large-centroid tensor families, conditional minimal-border-rank theorems and lower reported upper bounds from laser-method calculations for matrix multiplication. The results are algebraic and do not include measured runtimes or an implemented speedup.
Scientific publication4 min read
A mathematical preprint gives a boundary-vanishing test for compactness in a class of single Toeplitz operators, but finds that the test can fail for products.
Scientific publication3 min read
A modeling study asks whether a fixed AED supply is better used in stationary sites, mobile vehicles or a hybrid mix, with an analytical benchmark showing the second scenario’s response-distance measure is no greater than the first.
Scientific publication4 min read
A formal mathematical argument says strong local stability passes to the stated Artin–Schreier base-change when every Frobenius base-change in the required range is already strongly locally stable.
Scientific publication4 min read
A theorem-based analysis links finite Kuramoto manifolds with the Ott-Antonsen and continuum descriptions, while restricting the result to a specific model, parameter range and family of trajectories.
Scientific publication4 min read
A theoretical analysis links a leading cutoff proportion to an exact integer threshold by tracking how expected payoffs change from one candidate to the next.
Scientific publication5 min read
A mathematical preprint reports a common pattern linking limits of weighted averages with the hidden distribution of their random weights.
Scientific publication4 min read
A mathematical preprint describes a chain of algorithms that turns subgroup membership in finite-base wreath products into a decidable problem.
Scientific publication3 min read
A mathematical preprint reports unconditional lower and upper certificates for a compact-window version of the Weil quadratic form. Its numerical pattern supports, but does not prove, a Landau–Widom-type law for the true infinite-dimensional profile.
Scientific publication5 min read
A mathematical analysis proves a uniform critical-endpoint regularity bound under uniform equi-integrability, while a constructed counterexample shows bounded source norms alone are insufficient.
Scientific publication4 min read
A matching-complement theorem sits at the center of a deductive argument that establishes both the standard 2-Decomposition Conjecture and the 3-Decomposition Conjecture.
Scientific publication4 min read