The Brain’s Edge of Chaos: How Memory Networks Self-Organize
![Autocorrelation functions reveal how stored patterns - assessed with [latex]K=1[/latex] and [latex]K=100[/latex] - evolve across sub-critical, critical, and super-critical dynamical phases, demonstrating a relationship between temporal lag [latex]\Delta n[/latex] and the system’s responsiveness to initial conditions.](https://arxiv.org/html/2601.11478v1/Autocorrelation_Coincidences_IETs_PDF_N_patterns_100.png)
New research explores the dynamic interplay between complexity and order in a model of associative memory, revealing how networks achieve optimal information storage and recall.
![Autocorrelation functions reveal how stored patterns - assessed with [latex]K=1[/latex] and [latex]K=100[/latex] - evolve across sub-critical, critical, and super-critical dynamical phases, demonstrating a relationship between temporal lag [latex]\Delta n[/latex] and the system’s responsiveness to initial conditions.](https://arxiv.org/html/2601.11478v1/Autocorrelation_Coincidences_IETs_PDF_N_patterns_100.png)
New research explores the dynamic interplay between complexity and order in a model of associative memory, revealing how networks achieve optimal information storage and recall.

A new theoretical framework explores the unusual singularities that emerge in the parameter spaces of complex systems undergoing phase transitions, revealing hidden connections between symmetry and topology.
New research provides a generalized algebraic framework for understanding the Page transition, the moment when information escapes a black hole during Hawking radiation.
![The study establishes increasingly stringent upper limits on dark matter-particle scattering, demonstrating sensitivity improvements with σ and [latex]2\sigma[/latex] bands, and-through a power-constrained limit-surpassing previous results from leading experiments like XENON10, XENON1T, LUX-ZEPLIN, and others, while accounting for the confounding influence of the neutrino fog in silicon-based detectors and characterizing a [latex]5.5 \text{ GeV}/c^{2}[/latex] dark matter candidate with a [latex]4.4 \times 10^{-{45}} \text{ cm}^{2}[/latex] cross-section.](https://arxiv.org/html/2601.11296v1/x9.png)
The XENONnT experiment pushes the boundaries of dark matter detection with a novel analysis of ionization signals, refining the search for weakly interacting particles.
![The study demonstrates how varying angular velocities-specifically, anisotropy strengths of [latex]\nu = 1.025[/latex] and [latex]\nu = 1.1[/latex]-affect the spectral functions of both the [latex]J/\Psi[/latex] and [latex]\Upsilon(1S)[/latex] mesons at a chemical potential of [latex]\mu = 0.1\,{\rm{GeV}}[/latex] and [latex]c = -0.3\;{\rm{Ge}}{{\rm{V}}^{2}}[/latex], revealing distinct longitudinal and transverse polarization behaviors relative to the anisotropic direction.](https://arxiv.org/html/2601.11064v1/x4.png)
A new holographic study reveals how the rotation and anisotropic expansion of the quark-gluon plasma impact the spectral signatures of heavy quarkonia, offering crucial insights into the extreme conditions created in heavy-ion collisions.
Researchers have developed a novel method for reconstructing material density by embedding resonant inclusions and analyzing boundary behavior.
A new theoretical framework predicts the formation of intrinsic Janus structures and reveals their potential for manipulating light in unexpected ways.
![The system investigates a three-dimensional extension of the Su-Schrieffer-Heeger (SSH) model-specifically a Hubbard-SSH model-where layers are coupled by alternating hopping amplitudes, and renormalization of two-particle interactions is considered solely at the outermost layer via an on-site Hubbard [latex]U[/latex] term, allowing for exploration of emergent phenomena arising from interlayer interactions and strong correlations.](https://arxiv.org/html/2601.11055v1/x1.png)
A new theoretical approach explores how electron interactions drive emergent behavior at the surfaces and interfaces of complex layered materials.
New research reveals how the relativistic properties of materials like graphene dramatically alter the behavior of quantum scars within confined systems.
![Recent results from the Belle II experiment explore the decay [latex]B \to s \nu \bar{\nu}[/latex], reinterpreting evidence for [latex]B^{+} \to K^{+} \nu \bar{\nu}[/latex] through marginalized posterior analysis of Wilson coefficients-specifically, sums of [latex]C_{V_R}, S_R, T_R[/latex]-and examining data from [latex]B \to X_s \nu \bar{\nu}[/latex] decays across three distinct mass regions using optimized BDT outputs to differentiate charged and neutral B decays, as well as contributions from [latex]e^{+}e^{-} \to q\bar{q}[/latex] (where q represents up, down, strange, and charm quarks).](https://arxiv.org/html/2601.11279v1/june.png)
Recent results from the Belle and Belle II experiments are pushing the boundaries of the Standard Model by searching for rare decays that could signal the existence of new particles and interactions.