# Questions tagged [stochastic-processes]

A stochastic process is a random process evolving with time , i.e., a time sequence representing the evolution of some system represented by a variable whose change is subject to a random variation.

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### Is there consensus among physicists that reality is fundamentally deterministic?

Does Heisenberg’s Uncertainty Principle mean that the universe cannot deterministically be predicted by observers, or does it mean that the universe is inherently indeterministic, meaning that the ...
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### Bells jump process on the lattice, simple example

At the moment i am reading the paper of Vink, "Quantum mechanics in terms of discrete beables". (http://www.psiquadrat.de/downloads/vink93.pdf) Here, in section III, Vink uses Bells beable ...
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### Statistically stationary, periodic random process

As I understand in a statistically stationary process, the statistics are invariant under a shift in time. It is natural to assume that the statistics are periodic in a periodic random process. If ...
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### Interpreting distance in random walk

I've recently started reading about the random walk, from different sources across the internet, and there is this small detail that I'm not being able to wrap my head around. Suppose we have, a ...
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### Chaotic and Ordered Random Boolean Newtorks with a fixed in-degree k and a probability p

I'm working with Random Boolean Networks, I made a python program to show the dynamics of the networks. Before coding the program I study the theory and it says that the in-degree k and the ...
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### Reversible vs irreversible operators in stochastic transport theory

The particle in a potential driven by a fluctuating Gaussian white noise force $\Gamma(t)$ has equation of motion $$\dot{v} = -\gamma v +f(x) +\Gamma(t)$$ and its probability $P(x,v,t)$ to have ...
Background: For a particle driven by the dynamical equation $$\dot{x}(t) = a(x,t) + b(x)\xi(t),$$ where $\xi(t)$ is a Gaussian white noise, the probability distribution of position $x$ is governed by ...