816 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- École PolytechniqueFR110 papers
- Centre National de la Recherche ScientifiqueFR103 papers
- Université Paris-SaclayFR21 papers
- École Normale Supérieure Paris-SaclayFR13 papers
- Sapienza University of RomeIT10 papers
- Université Paris-SudFR8 papers
- Center for MathematicaL studies and their ApplicationsFR7 papers
- Institut Polytechnique de ParisFR6 papers
- Interdisciplinary Scientific Center J.-V. PonceletRU6 papers
- Northeastern UniversityUS6 papers
- Sorbonne UniversitéFR6 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR5 papers
28 papers · 1 filter
The localization regime in a nutshell
N. Moutal, D. S. Grebenkov
High diffusion-sensitizing magnetic field gradients have been more and more often applied nowadays to achieve a better characterization of the microstructure. As the resulting spin…
Universal spectral features of different classes of random diffusivity processes
V. Sposini, D. S. Grebenkov, R. Metzler +2
.Stochastic models based on random diffusivities, such as the diffusing-diffusivity approach, are popular concepts for the description of non-Gaussian diffusion in heterogeneous me…
Time-averaged MSD for switching diffusion
Denis S. Grebenkov
We consider a classic two-state switching diffusion model from a single-particle tracking perspective. The mean and the variance of the time-averaged mean square displacement (TAMS…
Non-Gaussian diffusion of mixed origins
Yann Lanoiselée, Denis S. Grebenkov
The properties of diffusion processes are drastically affected by heterogeneities of the medium that can induce non-Gaussian behavior of the propagator in contrast with the idealiz…
A unifying approach to first-passage time distributions in diffusing diffusivity and switching diffusion models
D. S. Grebenkov
We propose a unifying theoretical framework for the analysis of first-passage time distributions in two important classes of stochastic processes in which the diffusivity of a part…
Structural and temporal heterogeneities on networks
Liubov Tupikina, Denis S. Grebenkov
A heterogeneous continuous time random walk is an analytical formalism for studying and modeling diffusion processes in heterogeneous structures on microscopic and macroscopic scal…
Heterogeneous continuous time random walks
Denis S. Grebenkov, Liubov Tupikina
We introduce a heterogeneous continuous time random walk (HCTRW) model as a versatile analytical formalism for studying and modeling diffusion processes in heterogeneous structures…
Statistical analysis of random trajectories of vibrated disks: towards a macroscopic realization of Brownian motion
Yann Lanoiselée, Guillaume Briand, Olivier Dauchot +1
We propose a macroscopic realization of planar Brownian motion by vertically vibrated disks. We perform a systematic statistical analysis of many random trajectories of individual…
Unravelling intermittent features in single particle trajectories by a local convex hull method
Y. Lanoiselée, D. S. Grebenkov
We propose a new model-free method to detect change points between distinct phases in a single random trajectory of an intermittent stochastic process. The local convex hull (LCH)…
Universal formula for the mean first passage time in planar domains
Denis S. Grebenkov
We derive a general exact formula for the mean first passage time (MFPT) from a fixed point inside a planar domain to an escape region on its boundary. The underlying mixed Dirichl…
A Multiscale Guide to Brownian Motion
Denis S. Grebenkov, Dmitry Beliaev, Peter W. Jones
We revise the Levy's construction of Brownian motion as a simple though still rigorous approach to operate with various Gaussian processes. A Brownian path is explicitly constructe…
Optimal and sub-optimal quadratic forms for non-centered Gaussian processes
D. S. Grebenkov
Individual random trajectories of stochastic processes are often analyzed by using quadratic forms such as time averaged (TA) mean square displacement (MSD) or velocity auto-correl…
Time-averaged MSD of Brownian motion
Alexei Andreanov, Denis Grebenkov
We study the statistical properties of the time-averaged mean-square displacements (TAMSD). This is a standard non-local quadratic functional for inferring the diffusion coefficien…
Kardar-Parisi-Zhang asymptotics for the two-dimensional noisy Kuramoto-Sivashinsky equation
Matteo Nicoli, Edoardo Vivo, Rodolfo Cuerno
We study numerically the Kuramoto-Sivashinsky (KS) equation forced by external white noise in two space dimensions, that is a generic model for e.g. surface kinetic roughening in t…
Dynamical Renormalization Group Study for a Class of Non-local Interface Equations
Matteo Nicoli, Rodolfo Cuerno, Mario Castro
We provide a detailed Dynamic Renormalization Group study for a class of stochastic equations that describe non-conserved interface growth mediated by non-local interactions. We co…
Mean first-passage time of surface-mediated diffusion in spherical domains
O. Bénichou, D. S. Grebenkov, P. E. Levitz +2
We present an exact calculation of the mean first-passage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on…
Optimal reaction time for surface-mediated diffusion
O. Bénichou, D. Grebenkov, P. Levitz +2
We present an exact calculation of the mean first-passage time to a small target on the surface of a 2D or 3D spherical domain, for a molecule performing surface-mediated diffusion…
Self-stabilised fractality of sea-coasts through damped erosion
B. Sapoval, A. Baldassarri, A. Gabrielli
Erosion of rocky coasts spontaneously creates irregular seashores. But the geometrical irregularity, in turn, damps the sea-waves, decreasing the average wave amplitude. There may…
Chemical fracture and distribution of extreme values
A. Baldassarri, A. Gabrielli, B. Sapoval
When a corrosive solution reaches the limits of a solid sample, a chemical fracture occurs. An analytical theory for the probability of this chemical fracture is proposed and confi…
A perturbative approach to the Bak and Sneppen Model
G. Caldarelli, M. Felici, A. Gabrielli +1
We study here the Bak and Sneppen model, a prototype model for the study of Self-Organized Criticality. In this model several species interact and undergo extinction with a power l…
Positive Feedback, Memory and the Predictability of Earthquakes
S. G. Sammis, D. Sornette
We review the "critical point" concept for large earthquakes and enlarge it in the framework of so-called "finite-time singularities". The singular behavior associated with acceler…
A perturbative approach to the Bak-Sneppen Model
M. Felici, G. Caldarelli, A. Gabrielli +1
We study the Bak-Sneppen model in the probabilistic framework of the Run Time Statistics (RTS). This model has attracted a large interest for its simplicity being a prototype for t…
Etching of random solids: hardening dynamics and self-organized fractality
A. Gabrielli, A. Baldassarri, B. Sapoval
When a finite volume of an etching solution comes in contact with a disordered solid, a complex dynamics of the solid-solution interface develops. Since only the weak parts are cor…
Diffusion-Reorganized Aggregates: Attractors in Diffusion Processes?
M. Filoche, B. Sapoval
A process based on particle evaporation, diffusion and redeposition is applied iteratively to a two-dimensional object of arbitrary shape. The evolution spontaneously transforms th…