Product blocking measures and a particle system proof of the Jacobi triple product
From MaRDI portal
Publication:1635982
DOI10.1214/16-AIHP813zbMath1396.60100arXiv1606.00639OpenAlexW3103307517MaRDI QIDQ1635982
Publication date: 1 June 2018
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.00639
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)
Related Items (4)
Interacting particle systems and Jacobi style identities ⋮ Mapping TASEP Back in time ⋮ KPZ statistics of second class particles in ASEP via mixing ⋮ Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- From duality to determinants for \(q\)-TASEP and ASEP
- Euler hydrodynamics of one-dimensional attractive particle systems
- Partition bijections, a survey
- On Barnes beta distributions, Selberg integral and Riemann xi
- Twenty five years after KLS: A celebration of non-equilibrium statistical mechanics
- Strong hydrodynamic limit for attractive particle systems on \(\mathbb{Z}\)
- A queueing model and a set of orthogonal polynomials
- Invariant measures for the zero range process
- Coupling the simple exclusion process
- The number-theoretic content of the Jacobi triple product identity
- Between equilibrium fluctuations and Eulerian scaling: Perturbation of equilibrium for a class of deposition models
- Growth fluctuations in a class of deposition models
- Blocking measures for asymmetric exclusion processes via coupling
- Existence of hydrodynamics for the totally asymmetric simple \(K\)-exclusion process
- Stationary blocking measures for one-dimensional nonzero mean exclusion processes.
- Characterization of stationary measures for one-dimensional exclusion processes.
- Microscopic structure of travelling waves in the asymmetric simple exclusion process
- Existence of the zero range process and a deposition model with superlinear growth rates
- Microscopic concavity and fluctuation bounds in a class of deposition processes
- Macdonald processes
- An infinite particle system with zero range interactions
- Second class particles as microscopic characteristics in totally asymmetric nearest-neighbor $K$-exclusion processes
- Processus des misanthropes
- Theq-Hahn Boson Process andq-Hahn TASEP
- Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
This page was built for publication: Product blocking measures and a particle system proof of the Jacobi triple product