# Cycles, randomness, and transport from chaotic dynamics to stochastic processes.

@article{Gaspard2015CyclesRA, title={Cycles, randomness, and transport from chaotic dynamics to stochastic processes.}, author={Pierre Gaspard}, journal={Chaos}, year={2015}, volume={25 9}, pages={ 097606 } }

An overview of advances at the frontier between dynamical systems theory and nonequilibrium statistical mechanics is given. Sensitivity to initial conditions is a mechanism at the origin of dynamical randomness-alias temporal disorder-in deterministic dynamical systems. In spatially extended systems, sustaining transport processes, such as diffusion, relationships can be established between the characteristic quantities of dynamical chaos and the transport coefficients, bringing new insight…

## 5 Citations

### Inflow rate, a time-symmetric observable obeying fluctuation relations.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

This work finds detailed and integral fluctuation relations for the (time-integrated) difference between entrance rate and escape rate in mesoscopic jump systems, confirming that fluctuation theorems are largely independent of the details of the underling dynamics.

### Pervasive randomness in physics: an introduction to its modelling and spectral characterisation

- Computer Science
- 2017

An introduction to the modelling and spectral characterisation of random phenomena is detailed at a level consistent with a first exposure to the subject at an undergraduate level and the important case of defining a white noise random process is concluded.

### Time Irreversibility of Resting-State Activity in the Healthy Brain and Pathology

- PsychologyFrontiers in Physiology
- 2019

The results showed that resting brain activity is generically time-irreversible at sufficiently long time scales, and that brain pathology is generally associated with a reduction in time-asymmetry, albeit with pathology-specific patterns.

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