# behav: souvenir collector's walk; the distribution of the number of steps of a continuous-time random walk ending at a given position.

AA << consider a random walker performing a continuous-time random walk (CTRW) with a symmetric step lengths' distribution possessing a finite second moment and with a power-law waiting time distribution with finite or diverging first moment. The problem (They) pose concerns the distribution of the number of steps of the corresponding CTRW conditioned on the final position of the walker at some long time 𝑡. >>

<< ️For positions within the scaling domain of the probability density function (PDF) of final displacements, the distributions of the number of steps show a considerable amount of universality, and are different in the cases when the corresponding CTRW corresponds to subdiffusion and to normal diffusion. >>

They << ️moreover note that the mean value of the number of steps can be obtained independently and follows from the solution of the Poisson equation whose right-hand side depends on the PDF of displacements only. >>

<< ️This approach works not only in the scaling domain but also in the large deviation domain of the corresponding PDF, where the behavior of the mean number of steps is very sensitive to the details of the waiting time distribution beyond its power-law asymptotics. >>

Igor M. Sokolov. Souvenir collector's walk: The distribution of the number of steps of a continuous-time random walk ending at a given position. Phys. Rev. E 112, 024101. Aug 1, 2025

https://journals.aps.org/pre/abstract/10.1103/6j5n-bqcf

Also: behav, walk, walking, random, in https://www.inkgmr.net/kwrds.html 

Keywords: behavior, walk, walking, random walks, randomness.

# gst: reversible switching due to attraction and repulsion: clusters, gaps, sorting, and mixing.

AA << ️describe a phase transition in continuum limits of interacting particle systems that exhibits a vertical bifurcation diagram. The transition is mediated by a competition short-range repulsion and long-range attraction. As a consequence of the transition, infinitesimal parameter variations allow switching between uniform distribution and clusters in single-species models, and between mixed and sorted states in multi-species contexts, without hysteresis. >>

Their << main technical contribution is a universal expansion for the size of vacuum bubbles that arise in this phase transition and a quantitative analysis of the effect of noise. >>

Arnd Scheel, Angela Stevens. Reversible switching due to attraction and repulsion: clusters, gaps, sorting, and mixing. arXiv: 2507.10406v1 [math.DS]. Jul 14, 2025.

https://arxiv.org/abs/2507.10406

Also: particle, bubble, noise, transition, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, particles, bubbles, noise, short-range repulsion, long-range attraction, phase transitions.

# life: on the conversational persuasiveness of AI GPT-4.

<< Early work has found that large language models (LLMs) can generate persuasive content. However, evidence on whether they can also personalize arguments to individual attributes remains limited, despite being crucial for assessing misuse. This preregistered study examines AI-driven persuasion in a controlled setting, where participants engaged in short multiround debates. Participants were randomly assigned to 1 of 12 conditions in a 2 × 2 × 3 design: (1) human or GPT-4 debate opponent; (2) opponent with or without access to sociodemographic participant data; (3) debate topic of low, medium or high opinion strength. In debate pairs where AI and humans were not equally persuasive, GPT-4 with personalization was more persuasive 64.4% of the time (81.2% relative increase in odds of higher post-debate agreement; 95% confidence interval [+26.0%, +160.7%], P < 0.01; N = 900). (AA) findings highlight the power of LLM-based persuasion and have implications for the governance and design of online platforms. >>

Francesco Salvi, Manoel Horta Ribeiro, et al. On the conversational persuasiveness of GPT-4. Nature. doi: 10.1038/ s41562-025-02194-6. May 19, 2025.

https://www.nature.com/articles/s41562-025-02194-6

Also: << qui non e' impossibile immaginare ... >>. In: anomalous formation of molecules after vapor deposition. FonT. Dec 31, 2015.

https://flashontrack.blogspot.com/2015/12/rmx-s-gst-anomalous-formation-of.html

Also: ai (artificial intell) (bot), oops, are you ready, in:  https://www.inkgmr.net/kwrds.html 

Keywords: life, aibot, ai (artificial intell) (bot), llms, gpt, gpt-4, persuasiveness, AI-driven persuasion, analogy, abstraction, behaviour, oops, are you ready

# gst: breakdown of stochastic resonance in complex networks

<< ️In networked systems, stochastic resonance (SR) occurs as a collective phenomenon where the entire stochastic network resonates with a weak applied periodic signal. Beyond the interplay among the network coupling, the amplitude of the external periodic signal, and the intensity of stochastic fluctuations, the maintenance of stochastic resonance also crucially depends on the resonance capacity of each oscillator composing the network. This scenario raises the question: Can local defects in the ability of oscillators to resonate break down the stochastic resonance phenomenon in the entire network?  >>

Jonah E. Friederich, Everton S. Medeiros, et al. Breakdown of stochastic resonance in complex networks. Phys. Rev. E 112, 014218. Jul 21, 2025.

https://journals.aps.org/pre/abstract/10.1103/fc2t-275m

<< ️First, (AA) found that the combinations of network coupling and noise intensity for the maintenance of SR form tongue-like structures, specifying different optimal values of these parameters depending on the number of non-resonant units. Subsequently, (They) verified that, counter-intuitively, increasing the network coupling intensity causes SR to globally fail in the presence of a few non-resonant oscillators. Additionally, the upper limit of the coupling intensity diminishes as the number of nonresonant units increases. Moreover, (They) observed that for the maintenance of SR in (Their) network, the number of non-resonant oscillators is a nonlinear function of their dissimilarity level. >>

arXiv: 2502.06626v1 [nlin.AO]. Feb 10, 2025. 

https://arxiv.org/abs/2502.06626

Also: network, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, networks, coupled oscillators, stochasticity, stochastic resonance

# gst: apropos of monopoles with internal degrees of freedom

AA << ️consider a class of spontaneously broken SU(2) gauge theories with adjoint scalar and look for exact magnetic monopole solutions in the Bogomol'nyi--Prasad--Sommerfield (BPS) limit. (They) find that some of the resulting solutions exhibit a new internal degree of freedom (a moduli space parameter) that controls the energy density profile of the monopole while keeping the total energy (mass) constant. >>

Petr Beneš, Filip Blaschke. Magnetic monopoles with an internal degree of freedom. arXiv: 2507.13879v1 [hep-th]. Jul 18, 2025.

https://arxiv.org/abs/2507.13879

Also: particle, fracture, crack, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, particles, magnetic particles, monopoles, degrees of freedom, spontaneous break, fracture, crack

# brain: ubiquity of uncertainty in neuron systems.

AA << demonstrate that final-state uncertainty is ubiquitous in multistable systems of coupled neuronal maps, meaning that predicting whether one such system will eventually be chaotic or nonchaotic is often nearly impossible. (They) propose a "chance synchronization" mechanism that governs the emergence of unpredictability in neuron systems and support it by using basin classification, uncertainty exponent, and basin entropy techniques to analyze five simple discrete-time systems, each consisting of a different neuron model. >>

Their << ️results illustrate that uncertainty in neuron systems is not just a product of noise or high-dimensional complexity; it is also a fundamental property of low-dimensional, deterministic models, which has profound implications for understanding brain function, modeling cognition, and interpreting unpredictability in general multistable systems. >>

Brandon B. Le, Bennett Lamb, et al. Ubiquity of Uncertainty in Neuron Systems. arXiv: 2507.15702v1 [q-bio.NC]. Jul 21, 2025.

https://arxiv.org/abs/2507.15702

Also: brain, uncertainty, noise, in https://www.inkgmr.net/kwrds.html 

Keywords: brain, uncertainty, noise, coupled neuronal maps, chance synchronization.

# gst: impact of spinning droplets onto superhydrophobic surfaces: asymmetric tumbling rapid rebound.

<< ️The impact dynamics of spinning droplets onto superhydrophobic surfaces was studied by using Volume-of-Fluid simulations, covering broad ranges of Weber number (We) and dimensionless angular velocity (Ω). >>

<< ️Results show that, the spinning motion of droplets leads to two novel rebound scenarios. Specifically, the front-raise tumbling rebound occurs at a lower (Ω) and is caused by the unsymmetrical Laplace pressure, while the rear-raise tumbling rebound emerges at a higher (Ω) and is attributed to the rotational inertia. The angular momentum of the spinning droplet is dissipated or even reversed, while its direction upon detachment is inconsistent with the visually observed spinning motion. >>

<< ️With the increase of the angular velocity, the droplet-wall contact time is largely reduced, which is attributed to the asymmetric spreading by the spinning motion rather than the increased kinetic energy. A theoretical model was also established to predict asymmetric spreading and the contact time and validated against numerical results in wide ranges of (We) and (Ω).  >>

Jinyang Wang, Feifei Jia, et al. Impact of Spinning Droplets onto Superhydrophobic Surfaces: Asymmetric Tumbling Rapid Rebound. arXiv: 2507.13150v1 [physics.flu-dyn]. Jul 17, 2025. 

https://arxiv.org/abs/2507.13150

Also: drop, droplet, droploid, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, drops, droplets, droploids