Results 241 to 250 of about 4,845 (297)

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

open access: yesCommunications 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

A Data‐Driven Closed‐Loop Control Approach to Drive Neural State Transitions for Mechanistic Insight

open access: yesHuman Brain Mapping, Volume 47, Issue 11, 01 August 2026.
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

Successful Single‐Session Neural Self‐Regulation Through Neurofeedback Varies Between Features

open access: yesHuman Brain Mapping, Volume 47, Issue 11, 01 August 2026.
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]

open access: yesNat Commun
Than AT   +10 more
europepmc   +1 more source

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

open access: yesJournal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.
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]

open access: yesIEEE Trans Comput Imaging
Lobos RA   +8 more
europepmc   +1 more source

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