33 citations · 62 across the 10 of their papers we have counts for
12 papers
Stationary Half-space Geometric Last Passage Percolation without Random Shift
Alessandra Occelli, Jiyue Zeng
We derive exact formulas for the diagonal distribution of half-space geometric last-passage percolation with a two-parameter family of stationary initial conditions throughout the…
Equilibrium fluctuations for a multi-species particle system with long jumps
Giuseppe Cannizzaro, Pedro Cardoso, Lukas Gräfner +1
In the present paper, we study the equilibrium fluctuations of a particle system in infinite volume with two conserved quantities and long-range dependence. More specifically, the…
Discrete and Continuous Muttalib--Borodin Process: Large Deviations and Limit Shape Analysis
Jonathan Husson, Guido Mazzuca, Alessandra Occelli
In this paper, we study the asymptotic behaviour of plane partitions distributed according to a -weighted Muttalib--Borodin ensemble and its associated discrete…
Hydrodynamics for the ABC model with slow/fast boundary
Patricia Gonçalves, Ricardo Misturini, Alessandra Occelli
In this article, we consider the ABC model in contact with slow/fast reservoirs. In this model, there is at most one particle per site, which can be of type and par…
Peaks of cylindric plane partitions
Dan Betea, Alessandra Occelli
We study the asymptotic distribution, as the volume parameter goes to 1, of the peak (largest part) of finite- or slowly-growing-width cylindric plane partitions weighted by their…
The half-space Airy stat process
Dan Betea, Patrik Ferrari, Alessandra Occelli
We study the multipoint distribution of stationary half-space last passage percolation with exponentially weighted times. We derive both finite-size and asymptotic results for this…
Muttalib--Borodin plane partitions and the hard edge of random matrix ensembles
Dan Betea, Alessandra Occelli
We study probabilistic and combinatorial aspects of natural volume-and-trace weighted plane partitions and their continuous analogues. We prove asymptotic limit laws for the larges…
Discrete and continuous Muttalib--Borodin processes I: the hard edge
Dan Betea, Alessandra Occelli
In this note we study a natural measure on plane partitions giving rise to a certain discrete-time Muttalib-Borodin process (MBP): each time-slice is a discrete version of a Muttal…
On energy solutions to stochastic Burgers equation
Patricia Gonçalves, Alessandra Occelli
In this review we discuss the weak KPZ universality conjecture for a class of 1-d systems whose dynamics conserves one or more quantities. As a prototype example for the former cas…
Stationary half-space last passage percolation
Dan Betea, Patrik L. Ferrari, Alessandra Occelli
In this paper we study stationary last passage percolation (LPP) in half-space geometry. We determine the limiting distribution of the last passage time in a critical window close…
Time-time covariance for last passage percolation with generic initial profile
Patrik L. Ferrari, Alessandra Occelli
We consider time correlation for KPZ growth in 1+1 dimensions in a neighborhood of a characteristics. We prove convergence of the covariance with droplet, flat and stationary initi…
Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density
Patrik L. Ferrari, Alessandra Occelli
We consider TASEP in continuous time with non-random initial conditions and arbitrary fixed density of particles rho. We show GOE Tracy-Widom universality of the one-point fluctuat…