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
Generalizable, sequence-invariant deep learning image reconstruction for subspace-constrained quantitative MRI. [PDF]
Hu Z +6 more
europepmc +1 more source
The iterative methods for computing invariant subspaces and their applications
openaire +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
Evidence for topological contribution to spin shift current in antiferromagnetic Ti[Formula: see text]C[Formula: see text]. [PDF]
Sufyan A +3 more
europepmc +1 more source
Successful Single‐Session Neural Self‐Regulation Through Neurofeedback Varies Between Features
We demonstrate that the ‘non‐learner’ problem is not a universal personal trait: using an intra‐subject cross‐over design, all participants successfully regulated multiple rhythms despite failing to modulate Theta. We identify distinct learning trajectories, highlighting the importance of frequency specificity in neural self‐regulation.
Syrjänen E, Silva J, Astrand E
wiley +1 more source
The phase diagram of quantum chromodynamics in one dimension on a quantum computer. [PDF]
Than AT +10 more
europepmc +1 more source
Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar +3 more
wiley +1 more source
Spatiotemporal Maps for Dynamic MRI Reconstruction. [PDF]
Lobos RA +8 more
europepmc +1 more source
Network and Phase Symmetries Reveal That Amplitude Dynamics Stabilize Decoupled Oscillator Clusters. [PDF]
Emenheiser J +4 more
europepmc +1 more source

