Aperiodic graph
View article: Meditative absorption shifts brain dynamics toward criticality
Meditative absorption shifts brain dynamics toward criticality Open
Criticality describes a regime between order and chaos that supports flexible yet stable information processing. Here we examine whether neural dynamics can be volitionally shifted toward criticality through the self-regulation of attentio…
View article: Polish full groups preserving an infinite measure
Polish full groups preserving an infinite measure Open
We extend some results of Carderi and Le Maître on full groups in the probability context to the infinite measure one: there exists at most one Polish group topology (refining the weak topology and coarser than the uniform topology) on an …
View article: Topological interface modes in aperiodic subwavelength resonator chains
Topological interface modes in aperiodic subwavelength resonator chains Open
We consider interface modes in block disordered subwavelength resonator chains in one dimension. Based on the capacitance operator formulation, which provides a first-order approximation of the spectral properties of dimer-type block reson…
View article: Topological interface modes in aperiodic subwavelength resonator chains
Topological interface modes in aperiodic subwavelength resonator chains Open
We consider interface modes in block disordered subwavelength resonator chains in one dimension. Based on the capacitance operator formulation, which provides a first-order approximation of the spectral properties of dimer-type block reson…
View article: Spectral mechanism and nearly reducible transfer matrices for pseudotransitions in one-dimensional systems
Spectral mechanism and nearly reducible transfer matrices for pseudotransitions in one-dimensional systems Open
While true phase transitions are forbidden in one-dimensional systems with short-range interactions, several models have recently been shown to exhibit sharp yet analytic thermodynamic anomalies that mimic thermal phase transitions. We sho…
View article: Spectral mechanism and nearly reducible transfer matrices for pseudotransitions in one-dimensional systems
Spectral mechanism and nearly reducible transfer matrices for pseudotransitions in one-dimensional systems Open
While true phase transitions are forbidden in one-dimensional systems with short-range interactions, several models have recently been shown to exhibit sharp yet analytic thermodynamic anomalies that mimic thermal phase transitions. We sho…
View article: Golden‐Ratio–Guided Aperiodic Architected Metamaterials with Simultaneously Enhanced Strength and Toughness
Golden‐Ratio–Guided Aperiodic Architected Metamaterials with Simultaneously Enhanced Strength and Toughness Open
Architected lattice metamaterials offer tunable, exceptional mechanical performance through precisely engineered microarchitectures, yet an intrinsic trade‐off between strength and toughness remains a fundamental design challenge. Here, a …
View article: Mathematics and Physics in the Early 21st Century: Foundations, Collaboration, and AI-Augmented Discovery
Mathematics and Physics in the Early 21st Century: Foundations, Collaboration, and AI-Augmented Discovery Open
Recent advances at the intersection of mathematics, physics, and artificial intelligence have reshaped theoretical frameworks and computational methodologies, enabling new insights across diverse domains. This synthesis highlights foundati…
View article: Anyon Quasilocalization in a Quasicrystalline Toric Code
Anyon Quasilocalization in a Quasicrystalline Toric Code Open
An exactly solvable model of a quantum spin liquid on a quasicrystal, akin to Kitaev's honeycomb model, was introduced in Kim \textit{et al.}, \href{https://doi.org/10.1103/PhysRevB.110.214438}{\text{Phys. Rev. B} \textbf{110}, 214438 (202…
View article: Anyon Quasilocalization in a Quasicrystalline Toric Code
Anyon Quasilocalization in a Quasicrystalline Toric Code Open
An exactly solvable model of a quantum spin liquid on a quasicrystal, akin to Kitaev's honeycomb model, was introduced in Kim \textit{et al.}, \href{https://doi.org/10.1103/PhysRevB.110.214438}{\text{Phys. Rev. B} \textbf{110}, 214438 (202…
View article: Evaluating the impact of input noise and ERP-based penalties on the physiological plausibility of EEG generation using WGAN-GP
Evaluating the impact of input noise and ERP-based penalties on the physiological plausibility of EEG generation using WGAN-GP Open
It is possible to generate artificial EEG signals using generative adversarial networks (GANs), but the physiological plausibility of these signals is not always considered, even though plausibility is important for the trustworthiness of …
View article: The Aruna Recursive Kernel (ARK)
The Aruna Recursive Kernel (ARK) Open
We introduce the Aruna Recursive Kernel (ARK), a nonlinear iterative operator acting on integer-indexed fields.The ARK combines three internally defined components: A local propagation operator on the int…
View article: The Aruna Recursive Kernel (ARK)
The Aruna Recursive Kernel (ARK) Open
We introduce the Aruna Recursive Kernel (ARK), a nonlinear iterative operator acting on integer-indexed fields.The ARK combines three internally defined components: A local propagation operator on the integer manifold, A sign/annihilation …
View article: Data-driven control of network systems: Accounting for communication adaptivity and security
Data-driven control of network systems: Accounting for communication adaptivity and security Open
Over the past decades, network systems have surged in significance, driven by merging technological advancements. These systems play pivotal roles in diverse applications ranging from autonomous driving to smart grids, yet they confront co…
View article: A Theory on the Interdependent Origination and Entanglement of Chronogeometric Gravity, Matter and the Cosmos
A Theory on the Interdependent Origination and Entanglement of Chronogeometric Gravity, Matter and the Cosmos Open
This work advances a relational physics that begins not with spacetime but with a fibred continuum \((\mathcal C_d)\) of primordial quantum singularities \((\mathfrak B_{\vec r})\) animated by a quantum holo-state, Holo-State \(|\overset{\…
View article: Temporally resolved analyses of aperiodic features track neural dynamics during sleep
Temporally resolved analyses of aperiodic features track neural dynamics during sleep Open
The aperiodic (1/f-like) component of electrophysiological data, whereby power systematically decreases with increasing frequency, as quantified by the aperiodic exponent, has been shown to differentiate sleep stages. Previous studies typi…
View article: Data-driven control of network systems: Accounting for communication adaptivity and security
Data-driven control of network systems: Accounting for communication adaptivity and security Open
Over the past decades, network systems have surged in significance, driven by merging technological advancements. These systems play pivotal roles in diverse applications ranging from autonomous driving to smart grids, yet they confront co…
View article: Enhanced Aperiodic Threshold-Sensitive Stable Election Protocol (EATSEP) for WSNs
Enhanced Aperiodic Threshold-Sensitive Stable Election Protocol (EATSEP) for WSNs Open
Wireless sensor networks (WSNs) have emerged as vital technologies for safety-critical applications due to their flexibility, scalability, and reliability. However, existing models such as LEACH, SEP, and TSEP exhibit limitations in energy…
View article: QDL Experimental Validation Protocol: A Unified Roadmap for Torsion, NV-Center, Cavity, and Metamaterial Tests
QDL Experimental Validation Protocol: A Unified Roadmap for Torsion, NV-Center, Cavity, and Metamaterial Tests Open
This technical report defines the first complete experimental validation framework for the Quantized Dimensional Ledger (QDL), a dimensional-closure system that expresses all physical quantities using only three base units: action (A), len…
View article: A Theory on the Interdependent Origination and Entanglement of Chronogeometric Gravity, Matter and the Cosmos
A Theory on the Interdependent Origination and Entanglement of Chronogeometric Gravity, Matter and the Cosmos Open
This work advances a relational physics that begins not with spacetime but with a fibred continuum \((\mathcal C_d)\) of primordial quantum singularities \((\mathfrak B_{\vec r})\) animated by a quantum holo-state, Holo-State \(|\overset{\…
View article: Fractal Polariton Topological Insulator
Fractal Polariton Topological Insulator Open
We introduce higher order polariton topological insulator (HOTI) realized with fractal array of microcavity pillars arranged into Sierpinski gasket-like geometry. This system exhibiting self similarity in different generations, can support…
View article: Replica symmetry breaking in the aperiodic pulsating regime of a passive mode-locked ultrafast fiber laser
Replica symmetry breaking in the aperiodic pulsating regime of a passive mode-locked ultrafast fiber laser Open
View article: Stable CLT for deterministic systems
Stable CLT for deterministic systems Open
We show that for every ergodic and aperiodic probability preserving transformation and α ∈ (0, 2) there exists a function whose associated time series is in the standard domain of attraction of a non-degenerate symmetric α -stable distribu…
View article: Gradient Amplification from Periodic Structure: A Conceptual Mechanism for Directional Sensing in Plant Phototropism
Gradient Amplification from Periodic Structure: A Conceptual Mechanism for Directional Sensing in Plant Phototropism Open
This research note explores a minimal structural hypothesis for plant phototropism: that directional light sensing can emerge from geometry alone, without requiring dedicated photoreceptors or biochemical signaling. Recent experimental wor…
View article: Gradient Amplification from Periodic Structure: A Conceptual Mechanism for Directional Sensing in Plant Phototropism
Gradient Amplification from Periodic Structure: A Conceptual Mechanism for Directional Sensing in Plant Phototropism Open
This research note explores a minimal structural hypothesis for plant phototropism: that directional light sensing can emerge from geometry alone, without requiring dedicated photoreceptors or biochemical s…
View article: Tripod in uniform spanning tree and three-sided radial SLE$_2$
Tripod in uniform spanning tree and three-sided radial SLE$_2$ Open
Fix a bounded $3$-polygon $(Ω; x_1, x_2, x_3)$ with three marked boundary points $x_1, x_2, x_3\in\partialΩ$ and suppose $(Ω^δ; x_1^δ, x_2^δ, x_3^δ)$ is an approximation of $(Ω; x_1, x_2, x_3)$ on $δ$-scaled hexagonal lattice. We consider …
View article: Tripod in uniform spanning tree and three-sided radial SLE$_2$
Tripod in uniform spanning tree and three-sided radial SLE$_2$ Open
Fix a bounded $3$-polygon $(Ω; x_1, x_2, x_3)$ with three marked boundary points $x_1, x_2, x_3\in\partialΩ$ and suppose $(Ω^δ; x_1^δ, x_2^δ, x_3^δ)$ is an approximation of $(Ω; x_1, x_2, x_3)$ on $δ$-scaled hexagonal lattice. We consider …
View article: Benders Decomposition for Passenger-Oriented Train Timetabling with Hybrid Periodicity
Benders Decomposition for Passenger-Oriented Train Timetabling with Hybrid Periodicity Open
Periodic timetables are widely adopted in passenger railway operations due to their regular service patterns and well-coordinated train connections. However, fluctuations in passenger demand require varying train services across different …
View article: Benders Decomposition for Passenger-Oriented Train Timetabling with Hybrid Periodicity
Benders Decomposition for Passenger-Oriented Train Timetabling with Hybrid Periodicity Open
Periodic timetables are widely adopted in passenger railway operations due to their regular service patterns and well-coordinated train connections. However, fluctuations in passenger demand require varying train services across different …
View article: Author response: Modulation of aperiodic EEG activity provides sensitive index of cognitive state changes during working memory task
Author response: Modulation of aperiodic EEG activity provides sensitive index of cognitive state changes during working memory task Open