5 papers
Convergence of an algorithm for constructing Lyapunov functions for switched systems using meshfree collocation
Jay Ward, Nicos Georgiou, Peter Giesl
Switched systems are a class of dynamical systems where trajectories switch between different systems based on a switching rule. This rule can depend on time and/or the position of…
Construction of Lyapunov Functions for Switched Systems using Meshfree Collocation
Jay Ward, Nicos Georgiou, Peter Giesl
Switched systems are a family of dynamical systems where a switching rule indicates which system is "switched on". This rule can be dependent on time and/or position in the state s…
Hydrodynamic limits for TASEP with space-time discontinuities
Jacob Butt, Nicos Georgiou, Enrico Scalas
We develop a hydrodynamic theory for a height-dependent version of the totally asymmetric simple exclusion process in which the jump rate at a growth site is sampled from a macrosc…
A restless time-fractional multiclass queue
Nicos Georgiou, Enrico Scalas, Vladislav Vysotsky
We study a single-server priority queue with a finite number of classes, in which the arrivals follow a fractional Poisson process of index and the service completion…
Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation
Elnur Emrah, Nicos Georgiou, Janosch Ortmann
We introduce new probabilistic arguments to derive optimal-order central moment bounds in planar directed last-passage percolation. Our technique is based on couplings with the inc…