Tootfinder

This https://arxiv.org/abs/2212.05139 has been replaced.
link: https://scholar.google.com/scholar?q=a

Stability analysis of a stochastic port-Hamiltonian car-following model
Port-Hamiltonian systems are pertinent representations of many nonlinear physical systems. In this study, we formulate and analyse a general class of stochastic car-following models with a systematic port-Hamiltonian structure. The model class is a generalisation of classical car-following approaches, including the optimal velocity model of Bando et al. (1995), the full velocity difference model of Jiang et al. (2001), and recent stochastic following models based on the Ornstein-Uhlenbeck proce…

Partial stochastic resetting with refractory periods
Kristian St{\o}levik Olsen, Hartmut L\"owen
https://arxiv.org/abs/2406.10039 https://

Partial stochastic resetting with refractory periods
The effect of refractory periods in partial resetting processes is studied. Under Poissonian partial resets, a state variable jumps to a value closer to the origin by a fixed fraction at constant rate, $x\to a x$. Following each reset, a stationary refractory period of arbitrary duration takes place. We derive an exact closed-form expression for the propagator in Fourier-Laplace space, which shows rich dynamical features such as connections not only to other resetting schemes but also to interm…

This https://arxiv.org/abs/2404.07402 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An excursion onto Schrödinger's bridges: Stochastic flows with spatio-temporal marginals
The purpose of the present work is to expand substantially the type of control and estimation problems that can be addressed following the paradigm of Schrödinger bridges, by incorporating termination (killing) of stochastic flows. Specifically, in the context of estimation, we seek the most likely evolution realizing measured spatio-temporal marginals of killed particles. In the context of control, we seek a suitable control action directing the killed process toward spatio-temporal probabili…