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
123 papers
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…
Diffusion toward non-overlapping partially reactive spherical traps: fresh insights onto classic problems
Denis S. Grebenkov
Several classic problems for particles diffusing outside an arbitrary configuration of non-overlapping partially reactive spherical traps in three dimensions are revisited. For thi…
Diffusion NMR in periodic media: efficient computation and spectral properties
Nicolas Moutal, Antoine Moutal, Denis S. Grebenkov
The Bloch-Torrey equation governs the evolution of the transverse magnetization in diffusion magnetic resonance imaging, where two mechanisms are at play: diffusion of spins (Lapla…
A first-passage approach to diffusion-influenced reversible binding: insights into nanoscale signaling at the presynapse
Maria Reva, David A. DiGregorio, Denis S. Grebenkov
Synaptic transmission between neurons is governed by a cascade of stochastic reaction-diffusion events that lead to calcium-induced vesicle release of neurotransmitter. Since exper…
Resonance scattering in a waveguide with identical thick barriers
A. Delitsyn, D. S. Grebenkov
We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the hole…
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…
Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces
Denis S. Grebenkov
We propose a general theoretical description of chemical reactions occurring on a catalytic surface with heterogeneous reactivity. The propagator of a diffusion-reaction process wi…
Kinetics of coarsening have dramatic effects on the microstructure: self-similarity breakdown induced by viscosity contrast
Hervé Henry, György Tegze
The viscous coarsening of a phase separated mixture is studied and the effects of the viscosity contrast between the phases are investigated. From an analysis of the microstructure…
Morphological organization of point-to-point transport in complex networks
Min-Yeong Kang, Geoffroy Berthelot, Liubov Tupikina +4
We investigate the structural organization of the point-to-point electric, diffusive or hydraulic transport in complex scale-free networks. The random choice of two nodes, a source…
Localization regime in diffusion NMR: theory and experiments
Nicolas Moutal, Kerstin Demberg, Denis Grebenkov +1
In this work we investigate the emergence of the localization regime for diffusion in various geometries: inside slabs, inside cylinders and around rods arranged on a square array.…
A physicist's guide to explicit summation formulas involving zeros of Bessel functions and related spectral sums
Denis S. Grebenkov
We summarize the mathematical basis and practical hints for the explicit analytical computation of spectral sums that involve the eigenvalues of the Laplace operator in simple doma…
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…
Towards a full quantitative description of single-molecule reaction kinetics in biological cells
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
The first-passage time (FPT), i.e., the moment when a stochastic process reaches a given threshold value for the first time, is a fundamental mathematical concept with immediate ap…
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…
Probing surface-to-volume ratio of an anisotropic medium by diffusion {NMR} with general gradient encoding
Nicolas Moutal, Ivan I. Maximov, Denis S. Grebenkov
Since the seminal paper by Mitra et al., diffusion MR has been widely used in order to estimate surface-to-volume ratios. In the present work we generalize Mitra's formula for arbi…
Mechanical stress dependence of the Fermi level pinning on an oxidized silicon surface
H. Li, L. Martinelli, F. Cadiz +4
A combination of micro-Raman spectroscopy and micro-XPS (X-ray photo-electron spectroscopy) mapping on statically deflected p-type silicon cantilevers is used to study the mechanic…
Optimal parameters for anomalous diffusion exponent estimation from noisy data
Yann Lanoiselée, Denis S. Grebenkov, Grzegorz Sikora +2
The most common way of estimating the anomalous diffusion exponent from single-particle trajectories consists in a linear fitting of the dependence of the time averaged mean square…
Emergence of correlations between securities at short time scales
S. Valeyre, D. S. Grebenkov, S. Aboura
The correlation matrix is the key element in optimal portfolio allocation and risk management. In particular, the eigenvectors of the correlation matrix corresponding to large eige…
Ultrafast electrons dynamics reveal the high potential of InSe for hot carrier optoelectronics
Zhesheng Chen, Christine Giorgetti, Jelena Sjakste +9
We monitor the dynamics of hot carriers in InSe by means of two photons photoelectron spectroscopy (2PPE). The electrons excited by photons of 3.12 eV experience a manifold relaxat…
Evidence of nanoscale Anderson localization induced by intrinsic compositional disorder in InGaN/GaN quantum wells by scanning tunneling luminescence spectroscopy
W. Hahn, J. -M. Lentali, P. Polovodov +11
We present direct experimental evidences of Anderson localization induced by the intrinsic alloy compositional disorder of InGaN/GaN quantum wells. Our approach relies on the measu…
Semi-analytical computation of Laplacian Green functions in three-dimensional domains with disconnected spherical boundaries
D. S. Grebenkov, Sergey D. Traytak
We apply the generalized method of separation of variables (GMSV) to solve boundary value problems for the Laplace operator in three-dimensional domains with disconnected spherical…
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…