Self‐Similar Blowup for the Cubic Schrödinger Equation
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
Wild bootstrap for counting process-based statistics: a martingale theory-based approach. [PDF]
Dietrich MT, Dobler D, de Gunst MCM.
europepmc +1 more source
Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods
ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost +3 more
wiley +1 more source
Exploring novel semi-inner product reproducing Kernels in Banach space for robust Kernel methods. [PDF]
Ding Y, Zhao Y, Pei Y.
europepmc +1 more source
ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke +3 more
wiley +1 more source
Properties of Residual Cumulative Sharma-Taneja-Mittal Model and Its Extensions in Reliability Theory with Applications to Human Health Analysis and Mixed Coherent Mechanisms. [PDF]
Mohamed MS, Sakr HH.
europepmc +1 more source
Kinetic Contribution to the Arbitrary Order Odd Frequency Moments of the Dynamic Structure Factor
ABSTRACT An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over the exact momentum distribution.
Panagiotis Tolias +2 more
wiley +1 more source
Highest-Weight Vectors and Three-Point Functions in GKO Coset Decomposition. [PDF]
Bershtein M, Feigin B, Trufanov A.
europepmc +1 more source
Dried biofluid droplet morphologies for automated and scalable disease classification
For the first time, disease‐specific fingerprints of diabetes and influenza are revealed from dried biofluid droplet morphologies. Using automated droplet detection, texture analysis, and interpretable machine learning, this scalable workflow transforms endpoint droplet patterns into diagnostic biomarkers for point‐of‐care healthcare applications ...
Anusuya Pal +5 more
wiley +1 more source

