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A particleâ€™s motion in crowded environments often exhibits anomalous diffusion, whose nature depends on the situation at hand and is formalized within different physical models. Thus, suchâ€¦ (More)

- Yasmine Meroz, Igor M. Sokolov, Joseph Klafter
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2010

Single particle trajectories are investigated assuming the coexistence of two subdiffusive processes: diffusion on a fractal structure modeling spatial constraints on motion and heavy-tailedâ€¦ (More)

- Ariel Lubelski, Igor M. Sokolov, Joseph Klafter
- Physical review letters
- 2008

Most statistical theories of anomalous diffusion rely on ensemble-averaged quantities such as the mean squared displacement. Single molecule tracking measurements require, however, temporalâ€¦ (More)

- Hartmut Lentz, Thomas Selhorst, Igor M. Sokolov
- Physical review letters
- 2013

An accessibility graph of a network contains a link wherever there is a path of arbitrary length between two nodes. We generalize the concept of accessibility to temporal networks. Building anâ€¦ (More)

- Aleksei V. Chechkin, Irwin M. Zaid, Michael A. Lomholt, Igor M. Sokolov, Ralf Metzler
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

We consider the effective surface motion of a particle that intermittently unbinds from a planar surface and performs bulk excursions. Based on a random-walk approach, we derive the diffusionâ€¦ (More)

- Igor M. Sokolov, Werner Ebeling, BartÅ‚omiej Dybiec
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2011

A harmonic oscillator under the influence of noise is a basic model of various physical phenomena. Under Gaussian white noise the position and velocity of the oscillator are independent randomâ€¦ (More)

- Igor M. Sokolov, Joseph Klafter
- Chaos
- 2005

Einstein's explanation of Brownian motion provided one of the cornerstones which underlie the modern approaches to stochastic processes. His approach is based on a random walk picture and is validâ€¦ (More)

- Hartmut Lentz, Thomas Selhorst, Igor M. Sokolov
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

We consider epidemics in metapopulations on different network topologies. Recent work on epidemics on networks has focused on epidemics of humans. In this work we present a model for epidemics onâ€¦ (More)

- Eugene B. Postnikov, Igor M. Sokolov
- Mathematical biosciences
- 2007

We consider the process of an epidemic spread in a population of individuals with low mobility within the SIR scheme. In a continuum limit such propagation mechanism is described by a non-linearâ€¦ (More)

- Thomas Neusius, Isabella Daidone, Igor M. Sokolov, Jeremy C. Smith
- Physical review letters
- 2008

Molecular dynamics simulation of oligopeptide chains reveals configurational subdiffusion at equilibrium extending from 10(-12) to 10(-8) s. Trap models, involving a random walk with a distributionâ€¦ (More)