In this paper we define and explore the analytic spread ℓ ( I ) $\ell (\mathcal {I})$ of a filtration in local ring. We show that, especially for divisorial symbolic filtrations, some basic properties an ideal extend to even when is non-Noetherian. also illustrate significant differences between with examples. case $I$ , have classical bounds ht ⩽ dim R $\mbox{ht}(I)\leqslant \ell (I)\leqslant ...

The partially asymmetric exclusion process (PASEP) is an important model from statistical mechanics which describes a aystem of interacting particles hopping left and right on a one-dimensional lattice of n sites. It is partially asymmetric in the sense that the probability of hopping left is q times the probability of hopping right. Additionally, particles may enter from the left with probabil...

The partially asymmetric exclusion process (PASEP) is an important model from statistical mechanics which describes a system of interacting particles hopping left and right on a one-dimensional lattice of n sites. It is partially asymmetric in the sense that the probability of hopping left is q times the probability of hopping right. Additionally, particles may enter from the left with probabil...