7 citations · 12 across the 3 of their papers we have counts for
4 papers
Probing the Critical Point (CritPt) of AI Reasoning: a Frontier Physics Research Benchmark
Minhui Zhu, Minyang Tian, Xiaocheng Yang +61
While large language models (LLMs) with reasoning capabilities are progressing rapidly on high-school math competitions and coding, can they reason effectively through complex, ope…
Size-structured populations with growth fluctuations: Feynman--Kac formula and decoupling
Ethan Levien, Yaïr Hein, Farshid Jafarpour
We study a size-structured population model in which individual cells grow at a rate determined by a fluctuating internal variable (e.g., gene expression levels). Many previous mod…
Competition between transient oscillations and early stochasticity in exponentially growing populations
Yaïr Hein, Farshid Jafarpour
It has been recently shown that the exponential growth rate of a population of bacterial cells starting from a single cell shows transient oscillations due to early synchronized bu…
Asymptotic decoupling of population growth rate and cell size distribution
Yaïr Hein, Farshid Jafarpour
The rate at which individual bacterial cells grow depends on the concentrations of cellular components such as ribosomes and proteins. These concentrations continuously fluctuate o…