Robert Griffiths

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math.PR2026

A Class of Long Range Circulant Random Walks on $Z_{q}^{d}$

Robert Griffiths, Shuhei Mano

This paper studies a class of long range random walks $(X_{t})_{t = 0}^{\infty}$ on the direct product of cyclic groups $Z_{q}^{d}$ for $d \geq 1$ and $q \geq 2$ . $X_{t+1} = X_t + Z_t \…

math.PR2026

A Class of Gaussian Fields on $Z_{q}^{d}$

Robert Griffiths, Shuhei Mano

Gaussian fields $(g_{x})$ on $Z_{q}^{d}$ are constructed from a class of reversible long range random walks $(X_{t})_{t \in N}$ on $Z_{q}^{d}$ in arXiv:2510.22554. Th…

math.PR2025

Gaussian Fields on a hypercube from Long Range Random Walks

Robert Griffiths

We consider a class of Gaussian Free Fields denoted by $(g_{x})_{x \in V_{N}}$ , where $V_{N} = {0, 1}^{N}$ and $N \in Z_{+}$ . These fields are related to a general cl…

A Class of Long Range Circulant Random Walks on Zqd​

A Class of Gaussian Fields on Zqd​

Gaussian Fields on a hypercube from Long Range Random Walks

A Class of Long Range Circulant Random Walks on $Z_{q}^{d}$

A Class of Gaussian Fields on $Z_{q}^{d}$