33 citations · 77 across the 13 of their papers we have counts for
13 papers
Semicircle laws with combined variance for non-uniform Erdős-Rényi hypergraphs
Luca Avena, Elia Bisi, Eleonora Bordiga
We consider Erdős-Rényi-type random hypergraphs that are non-uniform, in the sense that hyperedges of different sizes may coexist, and inhomogeneous, in that connection probabiliti…
-shaped random matrices, -plane trees, and -Dyck paths
Elia Bisi, Fabio Deelan Cunden
We consider random matrices whose shape is the dilation of a self-conjugate Young diagram . In the large- limit, the empirical distribution of the squared singular value…
Random planar trees and the Jacobian conjecture
Elia Bisi, Piotr Dyszewski, Nina Gantert +3
We develop a probabilistic approach to the celebrated Jacobian conjecture, which states that any Keller map (i.e. any polynomial mapping who…
Non-intersecting path constructions for TASEP with inhomogeneous rates and the KPZ fixed point
Elia Bisi, Yuchen Liao, Axel Saenz +1
We consider a discrete-time TASEP, where each particle jumps according to Bernoulli random variables with particle-dependent and time-inhomogeneous parameters. We use the combinato…
Matrix Whittaker processes
Jonas Arista, Elia Bisi, Neil O'Connell
We study a discrete-time Markov process on triangular arrays of matrices of size , driven by inverse Wishart random matrices. The components of the right edge evolve as mu…
Matsumoto-Yor and Dufresne type theorems for a random walk on positive definite matrices
Jonas Arista, Elia Bisi, Neil O'Connell
We establish analogues of the geometric Pitman theorem of Matsumoto and Yor and of the classical Dufresne identity, for a multiplicative random walk on positive definite mat…
The oriented swap process and last passage percolation
Elia Bisi, Fabio Deelan Cunden, Shane Gibbons +1
We present new probabilistic and combinatorial identities relating three random processes: the oriented swap process on particles, the corner growth process, and the last passa…
Sorting networks, staircase Young tableaux and last passage percolation
Elia Bisi, Fabio Deelan Cunden, Shane Gibbons +1
We present new combinatorial and probabilistic identities relating three random processes: the oriented swap process on particles, the corner growth process, and the last passa…
The geometric Burge correspondence and the partition function of polymer replicas
Elia Bisi, Neil O'Connell, Nikos Zygouras
We construct a geometric lifting of the Burge correspondence as a composition of local birational maps on generic Young-diagram-shaped arrays. We establish its fundamental relation…
Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation
Elia Bisi, Nikos Zygouras
We study the combinatorial structure of the irreducible characters of the classical groups , , , ${\…
Random polymers via orthogonal Whittaker and symplectic Schur functions
Elia Bisi
This thesis deals with some -dimensional lattice path models from the KPZ universality class: the directed random polymer with inverse-gamma weights (known as log-gamma poly…
GOE and marginal distribution via symplectic Schur functions
Elia Bisi, Nikos Zygouras
We derive Sasamoto's Fredholm determinant formula for the Tracy-Widom GOE distribution, as well as the one-point marginal distribution of the process, original…
Point-to-line polymers and orthogonal Whittaker functions
Elia Bisi, Nikos Zygouras
We study a one dimensional directed polymer model in an inverse-gamma random environment, known as the log-gamma polymer, in three different geometries: point-to-line, point-to-hal…