43 citations · 403 across the 35 of their papers we have counts for
35 papers
Limits of Stochastic Semigroups and Block-Triangular Majorisation
Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna +1
We investigate limits of semigroups of stochastic matrices defined by their invariant distribution. Given probability vectors depending on a parameter , we introduce a no…
Maximal Minimal Spacing for Random Points
Fabio Deelan Cunden, Noemi Cuppone, Giovanni Gramegna +1
From random points on a line we wish to select points so as to maximize the minimal spacing between them. We consider an initial configuration with independent and iden…
Relative volume of comparable pairs under semigroup majorization
Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna +1
Any semigroup of stochastic matrices induces a semigroup majorization relation on the set of probability -vectors. Pick at ra…
Combinatorial Exploration of Multidrug Polyspecificity in Efflux Pumps
Fabio Deelan Cunden, Juan Carlos Jimenez-Castellanos, Raquel Ortega Munoz
A defining feature of efflux pumps is multidrug polyspecificity, which to date still eludes some of the traditional dogmas of drug binding within protein science. We propose a comb…
Condensation of vanishing photon emission rates in random atomic clouds
Viviana Viggiano, Romain Bachelard, Fabio Deelan Cunden +5
In the collective photon emission from atomic clouds both the atomic transition frequency and the decay rate are modified compared to a single isolated atom, leading to the effects…
Truncated quantum observables and their semiclassical limit
Fabio Deelan Cunden, Marilena Ligabò, Maria Caterina Susca
For quantum observables truncated on the range of orthogonal projections of rank , we study the corresponding Weyl symbol in the phase space in the semiclassical limit…
-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…
Cooperative photon emission rates in random atomic clouds
Viviana Viggiano, Romain Bachelard, Fabio Deelan Cunden +4
We investigate the properties of the cooperative decay modes of a cold atomic cloud, characterized by a Gaussian distribution in three dimensions, initially excited by a laser in t…
The semiclassical limit of a quantum Zeno dynamics
Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò
Motivated by a quantum Zeno dynamics in a cavity quantum electrodynamics setting, we study the asymptotics of a family of symbols corresponding to a truncated momentum operator, in…
Random matrices associated to Young diagrams
Fabio Deelan Cunden, Marilena Ligabò, Tommaso Monni
We consider the singular values of certain Young diagram shaped random matrices. For block-shaped random matrices, the empirical distribution of the squares of the singular eigenva…
Generic aspects of the resource theory of quantum coherence
Fabio Deelan Cunden, Paolo Facchi, Giuseppe Florio +1
The class of incoherent operations induces a pre-order on the set of quantum pure states, defined by the possibility of converting one state into the other by transformations withi…
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…
Conditional measures for Pfaffian point processes: conditioning on a bounded domain
Alexander I. Bufetov, Fabio Deelan Cunden, Yanqi Qiu
For a Pfaffian point process we show that its Palm measures, its normalised compositions with multiplicative functionals, and its conditional measures with respect to fixing the co…
Volume of the set of LOCC-convertible quantum states
Fabio Deelan Cunden, Paolo Facchi, Giuseppe Florio +1
The class of quantum operations known as Local Operations and Classical Communication (LOCC) induces a partial ordering on quantum states. We present the results of systematic nume…
Moments of discrete orthogonal polynomial ensembles
Philip Cohen, Fabio Deelan Cunden, Neil O'Connell
We obtain factorial moment identities for the Charlier, Meixner and Krawtchouk orthogonal polynomial ensembles. Building on earlier results by Ledoux [Elect. J. Probab. 10, (2005)]…
Free fermions and -determinantal processes
Fabio Deelan Cunden, Satya N. Majumdar, Neil O'Connell
The -determinant is a one-parameter generalisation of the standard determinant, with corresponding to the determinant, and corresponding to the permanent. In this p…
Integer moments of complex Wishart matrices and Hurwitz numbers
Fabio Deelan Cunden, Antoine Dahlqvist, Neil O'Connell
We give formulae for the cumulants of complex Wishart (LUE) and inverse Wishart matrices (inverse LUE). Their large- expansions are generating functions of double (strictly and…
Third-order phase transition: random matrices and screened Coulomb gas with hard walls
Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò +1
Consider the free energy of a -dimensional gas in canonical equilibrium under pairwise repulsive interaction and global confinement, in presence of a volume constraint. When the…
Universality of the weak pushed-to-pulled transition in systems with repulsive interactions
Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò +1
We consider a -dimensional gas in canonical equilibrium under pairwise screened Coulomb repulsion and external confinement, and subject to a volume constraint. We show that its…
Free fermions and the classical compact groups
Fabio Deelan Cunden, Francesco Mezzadri, Neil O'Connell
There is a close connection between the ground state of non-interacting fermions in a box with classical (absorbing, reflecting, and periodic) boundary conditions and the eigenvalu…
Universality of the third-order phase transition in the constrained Coulomb gas
Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò +1
The free energy at zero temperature of Coulomb gas systems in generic dimension is considered as a function of a volume constraint. The transition between the 'pulled' and the 'pus…
Density and spacings for the energy levels of quadratic Fermi operators
Fabio Deelan Cunden, Anna Maltsev, Francesco Mezzadri
The work presents a proof of convergence of the density of energy levels to a Gaussian distribution for a wide class of quadratic forms of Fermi operators. This general result appl…
Large- expansion for the time-delay matrix of ballistic chaotic cavities
Fabio Deelan Cunden, Francesco Mezzadri, Nick Simm +1
We consider the -expansion of the moments of the proper delay times for a ballistic chaotic cavity supporting scattering channels. In the random matrix approach, these mom…