We consider the one dimensional boundary driven harmonic model and its continuous
version, both introduced in (Frassek et al. in J Stat Phys 180: 135–171, 2020). By combining …

We consider a family of models having an arbitrary positive amount of mass on each site
and randomly exchanging an arbitrary amount of mass with nearest neighbor sites. We …

Consider the open symmetric exclusion process on a connected graph with vertexes in $[N-
1]:=\{1,\ldots, N-1\} $ where points $1 $ and $ N-1$ are connected, respectively, to a left …

We consider the boundary driven harmonic model, ie the Markov process associated to the
open integrable XXX chain with non-compact spins. Via integrability we show that it is …

Close to equilibrium, the excess heat governs the static fluctuations. We study the heat
capacity in that McLennan regime, ie in linear order around equilibrium, using an expression …

We study the asymmetric brownian energy, a model of heat conduction defined on the one-
dimensional finite lattice with open boundaries. The system is shown to be dual to the …

Taking inspiration from the harmonic process with reservoirs introduced by Frassek,
Giardinà and Kurchan in (2020 J. Stat. Phys. 180 135–71), we propose integrable boundary …

We examine three non-conservative interacting particle systems in one dimension modeling
epidemic spreading: the diffusive contact process (DCP), a model that we introduce and call …

We study a class of stochastic models of mass transport on discrete vertex set $ V $. For
these models, a one-parameter family of homogeneous product measures $\otimes_ {i\in …

This book is about a systematic Lie algebraic approach to duality for Markov processes. In
this introduction, we explain in words what is duality, what are the fundamental concepts in …