Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
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
Analytical solution of moistened trapezoidal porous fins considering all nonlinear effects. [PDF]
Sayehvand HO, Maleki J, Haftlang PB.
europepmc +1 more source
Transient Conjugate MHD Flow With Variable Thermal Conductivity: A CFD to ANN Study
A star‐shaped obstacle inside a hexagonal cavity alters fluid flow and heat transfer under magnetic fields. Simulations and ANN predictions reveal that magnetic strength and material properties control cooling efficiency, supporting smarter designs for real‐time thermal management.
M. A. Forhad +5 more
wiley +1 more source
Let Us Transform Traits Before Aggregating Them! [PDF]
Botta-Dukát Z.
europepmc +1 more source
This work aims to develop a generalised and efficient semi‐analytical method that combines the Laplace decomposition method with Pade approximation (LDMPA) to solve multidimensional nonlinear integro‐partial differential equation. For a one‐dimension case, explicit (closed‐form) solutions for the number density functions are derived for the first time.
Somveer Keshav +4 more
wiley +1 more source
Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation. [PDF]
Gómez S, Perinati C, Stocker P.
europepmc +1 more source
Using DSGE and Machine Learning to Forecast Public Debt for France
ABSTRACT Forecasting public debt is essential for effective policymaking and economic stability, yet traditional approaches face challenges due to data scarcity. While machine learning (ML) has demonstrated success in financial forecasting, its application to macroeconomic forecasting remains underexplored, hindered by short historical time series and ...
Emmanouil Sofianos +4 more
wiley +1 more source
A complexity transition in displaced Gaussian Boson sampling. [PDF]
Li Z +4 more
europepmc +1 more source
A Data‐Driven Closed‐Loop Control Approach to Drive Neural State Transitions for Mechanistic Insight
The study introduces a data‐driven framework combining dynamical systems reconstruction and closed‐loop control to analyze brain‐state transitions in remitted depression. Using fMRI data, we show that these individuals more easily enter but struggle to exit sad mood states, revealing altered connectivity and potential neuromodulation targets for ...
Niklas Emonds +8 more
wiley +1 more source
Metabolic organization of macaque visual cortex reflects visual field topography and perceptual specialization. [PDF]
Oishi H +4 more
europepmc +1 more source

