Diffusivity of a random walk on random walks
Copyright policy )Diffusivity of a random walk on random walks
We consider a random walk $(Z^{(1)}_n, ..., Z^{(K+1)}_n) \in \mathbb{Z}^{K+1}$ with the constraint that each coordinate of the walk is at distance one from the following one. In this paper, we show that this random walk is slowed down by a variance factor $σ_K^2 = \frac{2}{K+2}$ with respect to the case of the classical simple random walk without constraint.
- UNIVERSITE FEDERALE DE TOULOUSE MIDI-PYRENEES France
- International Centre for Mathematical Sciences United Kingdom
- Paul Sabatier University France
- Toulouse Mathematics Institute France
- University of Cambridge United Kingdom
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], Sums of independent random variables; random walks, Probability (math.PR), central limit theorem, Central limit and other weak theorems, random walks, diffusivity, graph, 05C81, 60F05, Markov chains (discrete-time Markov processes on discrete state spaces), [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], Random walks on graphs, FOS: Mathematics, Mathematics - Probability
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], Sums of independent random variables; random walks, Probability (math.PR), central limit theorem, Central limit and other weak theorems, random walks, diffusivity, graph, 05C81, 60F05, Markov chains (discrete-time Markov processes on discrete state spaces), [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], Random walks on graphs, FOS: Mathematics, Mathematics - Probability
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