Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Floreani, Simone"'
We construct three representations of the $su(1,1)$ current algebra: in extended Fock space, with Gamma random measures, and with negative binomial (Pascal) point processes. For the second and third representations, the lowering and neutral operators
Externí odkaz:
http://arxiv.org/abs/2402.07493
Publikováno v:
SIGMA 20 (2024), 046, 21 pages
We develop the algebraic approach to duality, more precisely to intertwinings, within the context of particle systems in general spaces, focusing on the $\mathfrak{su}(1,1)$ current algebra. We introduce raising, lowering, and neutral operators index
Externí odkaz:
http://arxiv.org/abs/2311.08763
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 reservoir and a right reservoir with densities $\rho_L,\rho_R\in(0,1)$. W
Externí odkaz:
http://arxiv.org/abs/2307.02481
From quenched invariance principle to semigroup convergence with applications to exclusion processes
Consider a random walk on $\mathbb{Z}^d$ in a translation-invariant and ergodic random environment and starting from the origin. In this short note, assuming that a quenched invariance principle for the opportunely-rescaled walks holds, we show how t
Externí odkaz:
http://arxiv.org/abs/2303.04127
We consider a partial exclusion process evolving on $\mathbb Z^d$ in a random trapping environment. In dimension $d\ge 2$, we derive the fractional kinetics equation \begin{equation*}\frac{\partial^\beta\rho_t}{\partial t^\beta} = \Delta \rho_t \end{
Externí odkaz:
http://arxiv.org/abs/2302.10156
Inspired by the recent work of Bertini and Posta, who introduced the boundary driven Brownian gas on $[0,1]$, we study boundary driven systems of independent particles in a general setting, including particles jumping on finite graphs and diffusion p
Externí odkaz:
http://arxiv.org/abs/2112.12698
In this paper we derive intertwining relations for a broad class of conservative particle systems both in discrete and continuous setting. Using the language of point process theory, we are able to derive a natural framework in which duality and inte
Externí odkaz:
http://arxiv.org/abs/2112.11885
In this paper we consider three classes of interacting particle systems on $\mathbb Z$: independent random walks, the exclusion process, and the inclusion process. We allow particles to switch their jump rate (the rate identifies the type of particle
Externí odkaz:
http://arxiv.org/abs/2107.06783
We consider symmetric partial exclusion and inclusion processes in a general graph in contact with reservoirs, where we allow both for edge disorder and well-chosen site disorder. We extend the classical dualities to this context and then we derive n
Externí odkaz:
http://arxiv.org/abs/2007.08272
In this paper, we introduce a random environment for the exclusion process in $\mathbb{Z}^d$ obtained by assigning a maximal occupancy to each site. This maximal occupancy is allowed to randomly vary among sites, and partial exclusion occurs. Under t
Externí odkaz:
http://arxiv.org/abs/1911.12564