91 citations · 212 across the 19 of their papers we have counts for
24 papers
Continuous auction models
Gioia Carinci, Pablo A. Ferrari, Chiara Franceschini +1
We study a discrete-time auction model in which multiple sellers update their bids according to their performance in the preceding round. Bidders aim to maximize their profits and…
Duality for a boundary driven asymmetric model of energy transport
Gioia Carinci, Francesco Casini, Chiara Franceschini
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 Symmet…
Large deviations and additivity principle for the open harmonic process
Gioia Carinci, Chiara Franceschini, Rouven Frassek +2
We consider the boundary driven harmonic model, i.e. the Markov process associated to the open integrable XXX chain with non-compact spins. Using the factorial moments we character…
Solvable stationary non equilibrium states
Gioia Carinci, Chiara Franceschini, Davide Gabrielli +2
We consider the one dimensional boundary driven harmonic model and its continuous version, both introduced in \cite{FGK}. By combining duality and integrability the authors of \cit…
Boundary driven Markov gas: duality and scaling limits
Gioia Carinci, Simone Floreani, Cristian Giardinà +1
Inspired by the recent work of Bertini and Posta, who introduced the boundary driven Brownian gas on , we study boundary driven systems of independent particles in a general…
Higher order fluctuation fields and orthogonal duality polynomials
Mario Ayala, Gioia Carinci, Frank Redig
Inspired by the works in [1] and [8] we introduce what we call -th-order fluctuation fields and study their scaling limits. This construction is done in the context of particle…
q-Orthogonal dualities for asymmetric particle systems
Gioia Carinci, Chiara Franceschini, Wolter Groenevelt
We study a class of interacting particle systems with asymmetric interaction showing a self-duality property. The class includes the ASEP(), asymmetric exclusion process, with…
Consistent particle systems and duality
Gioia Carinci, Cristian Giardinà, Frank Redig
We consider consistent particle systems, which include independent random walkers, the symmetric exclusion and inclusion processes, as well as the dual of the KMP model. Consistent…
Stationary states in infinite volume with non zero current
Gioia Carinci, Cristian Giardinà, Errico Presutti
We study the Ginzburg-Landau stochastic models in infinite domains with some special geometry and prove that without the help of external forces there are stationary measures with…
Condensation of SIP particles and sticky Brownian motion
Mario Ayala, Gioia Carinci, Frank Redig
We study the symmetric inclusion process (SIP) in the condensation regime. We obtain an explicit scaling for the variance of the density field in this regime, when initially starte…
Orthogonal Dualities of Markov Processes and Unitary Symmetries
Gioia Carinci, Chiara Franceschini, Cristian Giardinà +2
We study self-duality for interacting particle systems, where the particles move as continuous time random walkers having either exclusion interaction or inclusion interaction. We…
Quantitative Boltzmann Gibbs principles via orthogonal polynomial duality
Mario Ayala, Gioia Carinci, Frank Redig
We study fluctuation fields of orthogonal polynomials in the context of particle systems with duality. We thereby obtain a systematic orthogonal decomposition of the fluctuation fi…
Exact formulas for two interacting particles and applications in particle systems with duality
Gioia Carinci, Cristian Giardina, Frank Redig
We consider two particles performing continuous-time nearest neighbor random walk on and interacting with each other when they are at neighboring positions. Typical exa…
Free boundary problems in PDEs and particle systems
Gioia Carinci, Anna De Masi, Cristian Giardinà +1
In this volume a theory for models of transport in the presence of a free boundary is developed. Macroscopic laws of transport are described by PDEs. When the system is open, there…
Asymmetric stochastic transport models with symmetry
Gioia Carinci, Cristian Giardina', Frank Redig +1
By using the algebraic construction outlined in \cite{CGRS}, we introduce several Markov processes related to the quantum Lie algebra. These p…
A generalized Asymmetric Exclusion Process with stochastic duality
Gioia Carinci, Cristian Giardina', Frank Redig +1
We study a new process, which we call ASEP, where particles move asymmetrically on a one-dimensional integer lattice with a bias determined by and where at most…
Global solutions of a free boundary problem via mass transport inequalities
Gioia Carinci, Anna De Masi, Cristian Giardina' +1
We study a free boundary problem which arises as the continuum version of a stochastic particles system in the context of Fourier law. Local existence and uniqueness of the classic…
Super-hydrodynamic limit in interacting particle systems
Gioia Carinci, Anna De Masi, Cristian Giardinà +1
This paper is a follow-up of the work initiated in [3], where it has been investigated the hydrodynamic limit of symmetric independent random walkers with birth at the origin and d…
Hydrodynamic limit in a particle system with topological interactions
Gioia Carinci, Anna De Masi, Cristian Giardinà +1
We study a system of particles in the interval , a positive integer. The particles move as symmetric independent random walks (with reflections…
Dualities in population genetics: a fresh look with new dualities
Gioia Carinci, Cristian Giardina', Claudio Giberti +1
We apply our general method of duality, introduced in [Giardina', Kurchan, Redig, J. Math. Phys. 48, 033301 (2007)], to models of population dynamics. The classical dualities betwe…
Duality for stochastic models of transport
Gioia Carinci, Cristian Giardina', Claudio Giberti +1
We study three classes of continuous time Markov processes (inclusion process, exclusion process, independent walkers) and a family of interacting diffusions (Brownian energy proce…
Langevin dynamics with a tilted periodic potential
Gioia Carinci, Stephan Luckhaus
We study a Langevin equation for a particle moving in a periodic potential in the presence of viscosity and subject to a further external field . For a suitable choice of th…
Nonconventional averages along arithmetic progressions and lattice spin systems
G. Carinci, J. -R. Chazottes, C. Giardina +1
We study the so-called nonconventional averages in the context of lattice spin systems, or equivalently random colourings of the integers. For i.i.d. colourings, we prove a large d…
Random Hysteresis Loops
Gioia Carinci
Dynamical hysteresis is a phenomenon which arises in ferromagnetic systems below the critical temperature as a response to adiabatic variations of the external magnetic field. We s…