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most citedLevy Flight Superdiffusion: An Introduction

295 citations · 4.5k across the 94 of their papers we have counts for

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cond-mat.stat-mech2019★ 12 cited

Haldane Model at finite temperature

Luca Leonforte, Davide Valenti, Bernardo Spagnolo +2

We consider the Haldane model, a 2D topological insulator whose phase is defined by the Chern number. We study its phases as temperature varies by means of the Uhlmann number, a fi…

cond-mat.stat-mech2014★ 23 cited

Dissipative dynamics in a quantum bistable system: Crossover from weak to strong damping

Luca Magazzù, Davide Valenti, Bernardo Spagnolo +1

The dissipative dynamics of a quantum bistable system coupled to a Ohmic heat bath is investigated beyond the spin-boson approximation. Within the path-integral approach to quantum…

cond-mat.stat-mech2010★ 5 cited

Temperature dependence of spin depolarization of drifting electrons in n-type GaAs bulks

Stefano Spezia, Dominique Persano Adorno, Nicola Pizzolato +1

The influence of temperature and transport conditions on the electron spin relaxation in lightly doped n-type GaAs semiconductors is investigated. A Monte Carlo approach is used to…

cond-mat.stat-mech2009★ 102 cited

Stability measures in metastable states with Gaussian colored noise

Alessandro Fiasconaro, Bernardo Spagnolo

We present a study of the escape time from a metastable state of an overdamped Brownian particle, in the presence of colored noise generated by Ornstein-Uhlenbeck process. We analy…

cond-mat.stat-mech2008★ 5 cited

Stochastic dynamics and mean field approach in a system of three interacting species

Davide Valenti, Bernardo Spagnolo

The spatio-temporal dynamics of three interacting species, two preys and one predator, in the presence of two different kinds of noise sources is studied. To describe the spatial d…

cond-mat.stat-mech2008★ 83 cited

The problem of analytical calculation of barrier crossing characteristics for Levy flights

A. A. Dubkov, A. La Cognata, B. Spagnolo

By using the backward fractional Fokker-Planck equation we investigate the barrier crossing event in the presence of Levy noise. After shortly review recent results obtained with d…

cond-mat.stat-mech2008★ 12 cited

Noise driven translocation of short polymers in crowded solutions

N. Pizzolato, A. Fiasconaro, B. Spagnolo

In this work we study the noise induced effects on the dynamics of short polymers crossing a potential barrier, in the presence of a metastable state. An improved version of the Ro…

cond-mat.stat-mech2008★ 12 cited

Noise effects in polymer dynamics

N. Pizzolato, A. Fiasconaro, B. Spagnolo

The study of the noise induced effects on the dynamics of a chain molecule crossing a potential barrier, in the presence of a metastable state, is presented. A two-dimensional stoc…

cond-mat.stat-mech2008★ 295 cited

Levy Flight Superdiffusion: An Introduction

A. A. Dubkov, B. Spagnolo, V. V. Uchaikin

After a short excursion from discovery of Brownian motion to the Richardson "law of four thirds" in turbulent diffusion, the article introduces the Lévy flight superdiffusion as a…

cond-mat.stat-mech2008

Critical Phenomena and Diffusion in Complex Systems

Bernardo Spagnolo, Alexander A. Dubkov

Editorial of the International Conference on Critical Phenomena and Diffusion in Complex Systems held on 5--7 December, 2006 in Nizhniy Novgorod State University, Russia and was de…

cond-mat.stat-mech2008★ 97 cited

Verhulst model with Levy white noise excitation

A. A. Dubkov, B. Spagnolo

The transient dynamics of the Verhulst model perturbed by arbitrary non-Gaussian white noise is investigated. Based on the infinitely divisible distribution of the Levy process we…

cond-mat.stat-mech2008★ 14 cited

Langevin Approach to Levy Flights in Fixed Potentials: Exact Results for Stationary Probability Distributions

A. A. Dubkov, B. Spagnolo

The functional method to derive the fractional Fokker-Planck equation for probability distribution from the Langevin equation with Levy stable noise is proposed. For the Cauchy sta…

cond-mat.stat-mech2008★ 2 cited

Extinction statistics in N random interacting species

Alessandro Fiasconaro, Bernardo Spagnolo

A randomly interacting N-species Lotka-Volterra system in the presence of a Gaussian multiplicative noise is analyzed. The investigation is focused on the role of this external noi…

cond-mat.stat-mech2008★ 32 cited

Lifetime of metastable states and suppression of noise in Interdisciplinary Physical Models

B. Spagnolo, A. A. Dubkov, A. L. Pankratov +3

Transient properties of different physical systems with metastable states perturbed by external white noise have been investigated. Two noise-induced phenomena, namely the noise en…

cond-mat.stat-mech2006★ 104 cited

Mean Escape Time in a System with Stochastic Volatility

Giovanni Bonanno, Davide Valenti, Bernardo Spagnolo

We study the mean escape time in a market model with stochastic volatility. The process followed by the volatility is the Cox Ingersoll and Ross process which is widely used to mod…

cond-mat.stat-mech2006★ 3 cited

Moment equations in a Lotka-Volterra extended system with time correlated noise

D. Valenti, L. Schimansky-Geier, X. Sailer +2

A spatially extended Lotka-Volterra system of two competing species in the presence of two correlated noise sources is analyzed: (i) an external multiplicative time correlated nois…

cond-mat.stat-mech2005

Nonmonotonic Pattern Formation in Three Species Lotka-Volterra System with Colored Noise

A. Fiasconaro, D. Valenti, B. Spagnolo

A coupled map lattice of generalized Lotka-Volterra equations in the presence of colored multiplicative noise is used to analyze the spatiotemporal evolution of three interacting s…

cond-mat.stat-mech2005

A Simple Noise Model with Memory for Biological Systems

O. Chichigina, D. Valenti, B. Spagnolo

A noise source model, consisting of a pulse sequence at random times with memory, is presented. By varying the memory we can obtain variable randomness of the stochastic process. T…

cond-mat.stat-mech2005★ 8 cited

Diffusion in Flashing Periodic Potentials

Bernardo Spagnolo, Alexander Dubkov

The one-dimensional overdamped Brownian motion in a symmetric periodic potential modulated by external time-reversible noise is analyzed. The calculation of the effective diffusion…

cond-mat.stat-mech2005★ 81 cited

Moment Equations for a Spatially Extended System of Two Competing Species

D. Valenti, L. Schimansky-Geier, X. Sailer +1

The dynamics of a spatially extended system of two competing species in the presence of two noise sources is studied. A correlated dichotomous noise acts on the interaction paramet…

cond-mat.stat-mech2005★ 103 cited

Role of Noise in a Market Model with Stochastic Volatility

G. Bonanno, D. Valenti, B. Spagnolo

We study a generalization of the Heston model, which consists of two coupled stochastic differential equations, one for the stock price and the other one for the volatility. We con…

cond-mat.stat-mech2005★ 148 cited

Signatures of Noise Enhanced Stability in Metastable States

A. Fiasconaro, B. Spagnolo, S. Boccaletti

The lifetime of a metastable state in the transient dynamics of an overdamped Brownian particle is analyzed, both in terms of the mean first passage time and by means of the mean g…

cond-mat.stat-mech2004★ 100 cited

Suppression of timing errors in short overdamped Josephson junctions

Andrey L. Pankratov, Bernardo Spagnolo

The influence of fluctuations and periodical driving on temporal characteristics of short overdamped Josephson junction is analyzed. We obtain the standard deviation of the switchi…

cond-mat.stat-mech2004★ 7 cited

Transient behavior of a population dynamical model

B. Spagnolo, D. Valenti, A. Fiasconaro

The transient behavior of an ecosystem with N random interacting species in the presence of a multiplicative noise is analyzed. The multiplicative noise mimics the interaction with…