Specialty
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 fully specified mathematical construction on the unit three-ball gives the stated counterexample, while its small-parameter scope and curvature class limit what can be concluded.
Scientific publication4 min read
A theorem-driven analysis of the standard discrete Laplacian gives global and away-from-threshold resolvent ranges in dimensions four and above. Its four-dimensional endpoint estimate carries a square-root logarithmic loss whose necessity remains unsettled.
Scientific publication5 min read
A mathematical proof finds the free-boson coefficient for the leading low-temperature free energy of a two-dimensional Heisenberg ferromagnet, while limiting its conclusion to thermodynamics rather than magnetic order.
Scientific publication4 min read
A theoretical analysis compares two Pauli–Fierz model variants and derives conditional lower bounds on how quickly their ground-state norms can decay with distance.
Scientific publication4 min read
An arXiv preprint proposes a unified plasticity framework built from one scalar functional and one-sided admissible paths, illustrated by four closed-form solutions.
Scientific publication3 min read
A mathematical preprint connects singular q-Dirac operators to a selfadjoint dilation, scattering analysis and a functional model, then states conditional results on discrete spectra and complete eigenvector systems. The work is theorem-based and contains no empirical measurements or dataset.
Scientific publication3 min read
A mathematical preprint gives conditional existence results for connected partitions of weighted finite and countably infinite graphs. Its ladder examples show that Dirichlet, Neumann and boundaryless rules can select different minimizing shapes—and that unit weights can make parts of the infinite problem ill-defined.
Scientific publication3 min read