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arxiv.org arXiv
arxiv.org › abs › 1807.07632v2
Using a well known result that every FP equation has an antecedent Langevin equation LE Fox and Lu proposed such a description for ion channels in 1994. Their contraction followed the works of van Kam...
arxiv.org arXiv
arxiv.org › abs › 2510.15920v2
In this paper we present a generalization of the Fox H-function called Fox-Barnes J-function. Like the Fox H-function, it is defined as a contour integral in the complex plane, but instead of an integ...
arxiv.org arXiv
arxiv.org › abs › 2411.05281v3
We present Fox-1, a series of small language models (SLMs) consisting of Fox-1-1.6B and Fox-1-1.6B-Instruct-v0.1. These models are pre-trained on 3 trillion tokens of web-scraped document data and fin...
arxiv.org arXiv
arxiv.org › abs › 1208.2634v1
We present a connection between the Killing fields that arise in the loop-group approach to integrable systems and conservation laws viewed as elements of the characteristic cohomology. We use the con...
arxiv.org arXiv
arxiv.org › abs › 1501.03150v1
We analyse computational efficiency of Metropolis-Hastings algorithms with AR(1) process proposals. These proposals include, as a subclass, discretized Langevin diffusion (e.g. MALA) and discretized H...
arxiv.org arXiv
arxiv.org › abs › 2008.04070v1
To create tomorrow's smarter cities, today's initiatives will need to create measurable improvements. However, a city is a complex system and measuring its performance generates a breadth of issues. S...
arxiv.org arXiv
arxiv.org › abs › 1203.2145v2
This paper presents a modified grand canonical ensemble which provides a new simple and efficient scheme to study few-body fluid-like inhomogeneous systems under confinement. The new formalism is impl...
arxiv.org arXiv
arxiv.org › abs › 1605.05441v2
We analyse computational efficiency of Metropolis-Hastings algorithms with stochastic AR(1) process proposals. These proposals include, as a subclass, discretized Langevin diffusion (e.g. MALA) and di...
arxiv.org arXiv
arxiv.org › abs › 2202.03876v3
We develop a novel Markov chain Monte Carlo (MCMC) method that exploits a hierarchy of models of increasing complexity to efficiently generate samples from an unnormalized target distribution. Broadly...
arxiv.org arXiv
arxiv.org › abs › 0704.0157v1
An overview of some analytical approaches to the computation of the structural and thermodynamic properties of single component and multicomponent hard-sphere fluids is provided. For the structural pr...