57 citations · 255 across the 16 of their papers we have counts for
16 papers
Inter-species spin-noise correlations in hot atomic vapors
K. Mouloudakis, F. Vouzinas, A. Margaritakis +9
We report an experimental and theoretical study of spin noise correlations in a Rb-Cs unpolarized alkali-metal vapor dominated by spin-exchange collisions. We observ…
A new approach to generalisation error of machine learning algorithms: Estimates and convergence
Michail Loulakis, Charalambos G. Makridakis
In this work we consider a model problem of deep neural learning, namely the learning of a given function when it is assumed that we have access to its point values on a finite set…
Discrete Gradient Flow Approximations of High Dimensional Evolution Partial Differential Equations via Deep Neural Networks
Emmanuil H. Georgoulis, Michail Loulakis, Asterios Tsiourvas
We consider the approximation of initial/boundary value problems involving, possibly high-dimensional, dissipative evolution partial differential equations (PDEs) using a deep neur…
Quantum advantage in biometric authentication with single photons
I. K. Kominis, Michail Loulakis
It was recently proposed to use the human visual system's ability to perform efficient photon counting in order to devise a new biometric methodology. The relevant biometric finger…
Generalized Young measures and the hydrodynamic limit of condensing zero range processes
Michail Loulakis, Marios Georgios Stamatakis
Condensing zero range processes (ZRPs) are stochastic interacting particle systems that exhibit phase separation with the emergence of a condensate. Standard approaches for derivin…
Quantum trajectories in spin-exchange collisions reveal the nature of spin-noise correlations in multi-species alkali vapors
K. Mouloudakis, M. Loulakis, I. K. Kominis
Spin-exchange collisions in alkali vapors have been at the basis of several fundamental and applied investigations, like nuclear structure studies and tests of fundamental symmetri…
A Simple Network of Nodes Moving on the Circle
Dimitris Cheliotis, Ioannis Kontoyiannis, Michail Loulakis +1
Two simple Markov processes are examined, one in discrete and one in continuous time, arising from idealized versions of a transmission protocol for mobile, delay-tolerant networks…
The Deterministic and Stochastic Shallow Lake Problem
George T. Kossioris, Michail Loulakis, Panagiotis E. Souganidis
We study the welfare function of the deterministic and stochastic shallow lake problem. We show that the welfare function is the viscosity solution of the associated Bellman equati…
Quantum Biometrics with Retinal Photon Counting
M. Loulakis, G. Blatsios, C. S. Vrettou +1
It is known that the eye's scotopic photodetectors, rhodopsin molecules and their associated phototransduction mechanism leading to light perception, are efficient single photon co…
Metastable Markov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions
Claudio Landim, Michail Loulakis, Mustapha Mourragui
We consider continuous-time Markov chains which display a family of wells at the same depth. We provide sufficient conditions which entail the convergence of the finite-dimensional…
Cross-Layer Design of Wireless Multihop Networks over Stochastic Channels with Time-Varying Statistics
Eleni Stai, Michail Loulakis, Symeon Papavassiliou
Network Utility Maximization (NUM) is often applied for the cross-layer design of wireless networks considering known wireless channels. However, realistic wireless channel capacit…
Metastability in a condensing zero-range process in the thermodynamic limit
Inés Armendáriz, Stefan Grosskinsky, Michail Loulakis
Zero-range processes with decreasing jump rates are known to exhibit condensation, where a finite fraction of all particles concentrates on a single lattice site when the total den…
Zero Range Condensation at Criticality
Inés Armendáriz, Stefan Grosskinsky, Michail Loulakis
Zero-range processes with decreasing jump rates exhibit a condensation transition, where a positive fraction of all particles condenses on a single lattice site when the total dens…
Conditional Distribution of Heavy Tailed Random Variables on Large Deviations of their Sum
Inés Armendáriz, Michail Loulakis
It is known that large deviations of sums of subexponential random variables are most likely realised by deviations of a single random variable. In this article we give a detailed…
Thermodynamic Limit for the Invariant Measures in Supercritical Zero Range Processes
Inés Armendáriz, Michail Loulakis
We prove a strong form of the equivalence of ensembles for the invariant measures of zero range processes conditioned to a supercritical density of particles. It is known that in t…
On the Symmetry of the Diffusion Coefficient in Asymmetric Simple Exclusion
Michail Loulakis
We prove the symmetry of the Diffusion Coefficient appearing in the fluctuation-dissipation theorem for the general asymmetric simple exclusion process.