1.8k citations · 6.4k across the 131 of their papers we have counts for
26 papers · 1 filter
Towards a robust criterion of anomalous diffusion
Vittoria Sposini, Diego Krapf, Enzo Marinari +8
Anomalous-diffusion, the departure of the spreading dynamics of diffusing particles from the traditional law of Brownian-motion, is a signature feature of a large number of complex…
Noise-to-signal ratio of single-trajectory spectral densities in centered Gaussian processes
Alessio Squarcini, Enzo Marinari, Gleb Oshanin +2
We discuss the statistical properties of a single-trajectory power spectral density of an arbitrary real-valued centered Gaussian process , where is th…
Frequency-frequency correlations of single-trajectory spectral densities of Gaussian processes
Alessio Squarcini, Enzo Marinari, Gleb Oshanin +2
We investigate the stochastic behavior of the single-trajectory spectral density of several Gaussian stochastic processes, i.e., Brownian motion, the Ornstein-Uh…
Spectral fingerprints of non-equilibrium dynamics: The case of a Brownian gyrator
S. Cerasoli, S. Ciliberto, E. Marinari +3
The same system can exhibit a completely different dynamical behavior when it evolves in equilibrium conditions or when it is driven out-of-equilibrium by, e.g., connecting some of…
Scaling law describes the spin-glass response in theory, experiments and simulations
Q. Zhai, I. Paga, M. Baity-Jesi +24
The correlation length , a key quantity in glassy dynamics, can now be precisely measured for spin glasses both in experiments and in simulations. However, known analysis method…
Passive advection of fractional Brownian motion by random layered flows
Alessio Squarcini, Enzo Marinari, Gleb Oshanin
We study statistical properties of the process of a passive advection by quenched random layered flows in situations when the inter-layer transfer is governed by a fractiona…
Covariance of the running range of a Brownian trajectory
Brandon Annesi, Enzo Marinari, Gleb Oshanin
The question how the extremal values of a stochastic process achieved on different time intervals are correlated to each other has been discussed within the last few years on examp…
Spectral content of a single non-Brownian trajectory
D. Krapf, N. Lukat, E. Marinari +7
Time-dependent processes are often analysed using the power spectral density (PSD), calculated by taking an appropriate Fourier transform of individual trajectories and finding the…
Power spectral density of a single Brownian trajectory: What one can and cannot learn from it
Diego Krapf, Enzo Marinari, Ralf Metzler +3
The power spectral density (PSD) of any time-dependent stochastic processes is a meaningful feature of its spectral content. In its text-book definition, the PSD is the Fouri…
Phase transitions in integer linear problems
S. Colabrese, D. De Martino, L. Leuzzi +1
The resolution of linear system with positive integer variables is a basic yet difficult computational problem with many applications. We consider sparse uncorrelated random system…
Sample-to-sample fluctuations of power spectrum of a random motion in a periodic Sinai model
David S. Dean, Antonio Iorio, Enzo Marinari +1
The Sinai model of a tracer diffusing in a quenched Brownian potential is a much studied problem exhibiting a logarithmically slow anomalous diffusion due to the growth of energy b…
Finding long cycles in graphs
Enzo Marinari, Guilhem Semerjian, Valery Van Kerrebroeck
We analyze the problem of discovering long cycles inside a graph. We propose and test two algorithms for this task. The first one is based on recent advances in statistical mechani…
On the number of circuits in random graphs
Enzo Marinari, Guilhem Semerjian
We apply in this article (non rigorous) statistical mechanics methods to the problem of counting long circuits in graphs. The outcomes of this approach have two complementary flavo…
Ageing, dynamical heterogeneities and crystallization in the Biroli-Mezard model
E. Marinari, V. Van Kerrebroeck
We discuss a number of essential dynamical features of the Biroli-Mezard model. We observe a dynamical slowing down which for high densities depends both on the observation time an…
An algorithm for counting circuits: application to real-world and random graphs
Enzo Marinari, Remi Monasson, Guilhem Semerjian
We introduce an algorithm which estimates the number of circuits in a graph as a function of their length. This approach provides analytical results for the typical entropy of circ…
A Quantitative Clustering Approach to Ultrametricity in Spin Glasses
Stefano Ciliberti, Enzo Marinari
We discuss the problem of ultrametricity in mean field spin glasses by means of a hierarchical clustering algorithm. We complement the clustering approach with quantitative testing…
Localization of Denaturation Bubbles in Random DNA Sequences
Terence Hwa, Enzo Marinari, Kim Sneppen +1
We study the thermodynamic and dynamic behaviors of twist-induced denaturation bubbles in a long, stretched random sequence of DNA. The small bubbles associated with weak twist are…
On the Tail of the Overlap Probability Distribution in the Sherrington--Kirkpatrick Model
Alain Billoire, Silvio Franz, Enzo Marinari
We investigate the large deviation behavior of the overlap probability density in the Sherrington--Kirkpatrick model from several analytical perspectives. First we analyze the spin…
Width Distributions and the Upper Critical Dimension of KPZ Interfaces
E. Marinari, A. Pagnani, G. Parisi +1
Simulations of restricted solid-on-solid growth models are used to build the width-distributions of d=2-5 dimensional KPZ interfaces. We find that the universal scaling function as…
Droplet Motion for the Conservative 2D Ising Lattice Gas Dynamics below the Critical Temperature
G. Favrin, E. Marinari, F. Martinelli
We consider the 2D Ising lattice gas in a square of side L with free boundary conditions, temperature below the critical one and particle density slightly above the density of the…
Correlation Time Scales in the Sherrington-Kirkpatrick Model
Alain Billoire, Enzo Marinari
We investigate the dynamical behavior of the Sherrington-Kirkpatrick mean field model of spin glasses by numerical simulation. All the time scales tau we have measured behave like…
Critical Exponents of the KPZ Equation via Multi-Surface Coding Numerical Simulations
E. Marinari, A. Pagnani, G. Parisi
We study the KPZ equation (in D = 2, 3 and 4 spatial dimensions) by using a RSOS discretization of the surface. We measure the critical exponents very precisely, and we show that t…
Comment on "Numerical Study on Aging Dynamics in the 3D Ising Spin Glass Model"
Enzo Marinari, Giorgio Parisi, Juan J. Ruiz-Lorenzo
We show that the dynamical behavior of the 3D Ising spin glass with Gaussian couplings is not compatible with a droplet dynamics. We show that this is implied from the data of refe…
A general method to determine replica symmetry breaking transitions
E. Marinari, C. Naitza, F. Zuliani +3
We introduce a new parameter to investigate replica symmetry breaking transitions using finite-size scaling methods. Based on exact equalities initially derived by F. Guerra this p…