“A small fraction of stalled particles in the system allows for the formation of dynamical clusters at significantly lower densities than predicted by standard MIPS.”

“The high-density coexisting states are liquid-like in the binary cases.”

“For any Feller's Brownian motion that is not purely driven by jumps at the boundary, we construct a sequence of boundary random walks whose appropriately rescaled processes converge weakly to the given Feller's Brownian motion.”

“The paper highlights a trade-off between computation time, circuit size, and energy input in Brownian circuits, and demonstrates that phase transitions in time complexity provide a natural framework for characterizing the cost of fluctuation-driven computation.”

“The paper proves that a cutoff phenomenon holds independently of the transition probabilities, subject only to the sub-Gaussian assumption and a minimal aperiodicity hypothesis.”

“The paper claims that Dual-approx Bridge demonstrates consistent and superior performance in terms of image quality and faithfulness to ground truth compared to both stochastic and deterministic baselines.”

“The article's subject matter involves branching Markov additive processes.”

“The article's content would likely involve mathematical models, simulations, and potentially experimental validation (though the source being ArXiv suggests a theoretical focus). Key concepts would include Brownian motion, stochastic processes, renewal theory, and possibly scaling laws.”

“Active Brownian particles in power-law viscoelastic media”

“The article's context provides the essential information that the paper is published on ArXiv.”

“The paper focuses on learning parameters in fBm-driven SDEs.”