Results 141 to 150 of about 3,042 (217)
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Convergence of the Immersed Interface Method in Linear Elasticity. [PDF]
Mathematica (N Y)Asghar S +3 more
europepmc +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Correlated clustering and projection for dimensionality reduction. [PDF]
Mach Learn Sci TechnolHozumi Y, Wang R, Wei GW.
europepmc +1 more source
Clinical and Translational Discovery, Volume 6, Issue 4, August 2026.Multi‐endpoint clinical trials face long‐standing statistical challenges. Vector‐based comparison (VBC) decomposes endpoints into orthogonal components. Applied to five clinical trials, it reduced confidence‐interval widths by about 50%, indicating higher statistical power, without altering the clinical meaning of endpoints.
Maria Kokkali, Vangelis D. Karalis
wiley +1 more source
Maximum likelihood estimation of log-affine models using detailed-balanced reaction networks. [PDF]
J Math BiolHenriksson O +3 more
europepmc +1 more source
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 10, Page 2466-2485, August 2026.ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang +5 more
wiley +1 more source
Some Properties of the Plaquette Random-Cluster Model. [PDF]
Math Phys Anal GeomDuncan P, Schweinhart B.
europepmc +1 more source
Nonstationary Spatial Correlation of Earthquake Ground Motions in California
Earthquake Spectra, Volume 42, Issue 3, August 2026.Assessing seismic risk to spatially distributed infrastructure systems requires realistic representations of spatially correlated ground motions. Existing models for the spatial correlations of ground motions rely on strong second‐order stationarity assumptions, under which the correlation structure is assumed to be invariant across space, potentially ...
Pengfei Wang +4 more
wiley +1 more source