Publications

 Research interests are

(1) anomalous random walks and travelling wave theory

(2) human migration and Neolithic

(3) turbulence, combustion and stochastic dynamo

(4) financial modelling

New book:

   Vicenc Mendez, Sergei Fedotov, Werner Horsthemke

 Reaction-Transport Systems

Mesoscopic Foundations, Fronts, and Spatial Instabilities
Series: Springer Series in Synergetics

Anomalous random walks and  travelling wave theory

The research is focused on the development of anomalous random walk models with reactions and wave theory. Examples are (i) migration and proliferation dichotomy in tumour cell invasion; (ii) propagating fronts in reaction–transport systems with memory; (iii) superdiffusion of a random walk driven by ergodic Markov process with switching;

S. Fedotov has been supported by EPSRC Research Grant (EP/D03115X/1) “Waves in reaction-transport systems with memory and long-distance dispersal effects” as a Principal Investigator (2006-2008). Total: £10279.

He has been an Invited Professor at Universitat Autonoma de Barcelona (2007-2009)

Human migration and Neolithic

This project is concerned with development of the mathematical models of Neolithisation that includes both population migration and cultural diffusion involving several coexisting population types and variable environment

Sergei Fedotov ia a Team Leader of EC Project FEPRE “The Formation of Europe: Prehistoric Population Dynamics and the Roots of Socio-Cultural Diversity” (2007-2009). Total: 38884 Euro.

Turbulence, combustion and stochastic dynamo

The research is concerned with random advection and stochastic mixing, non-premixed turbulent combustion, stochastic amplification of magnetic energy in the turbulent dynamo for subcritical case and magnetic waves in galaxies with memory effects.

Sergei Fedotov was supported by EPSRC Research Grant (GR/M72241) “Large Scale Dynamics of Reaction Front in Turbulent Flow” as Principal Investigator (1999-2001). Total: £53,067.

He was a Collaborator of DFG Project KL 611/6-1 in Wuppertal (1997/1998) and Project KL 611/6-2 in Berlin (1998) on combustion and detonation waves. He was a Team Leader of EC Project INTAS-94-2580 (1995-1997).

As a recognition of his work in turbulence and combustion Sergei Fedotov was twice awarded a Senior Research Fellowship at Stanford University to work at Center for Turbulence Research (1999-2004). Total: $48.000. 

He was an Invited Professor at Stanford (2006,2007)

Sergei Fedotov was supported by The Royal Society Joint Project Grant “Galactic magnetic field generation in subcritical case as a Project Leader (2003-2005).  Total: £10.000. He was also supported by The Royal Society Grant (2003), REF 14782. Total: £4.100

Financial mathematics

The research is concerned with the stochastic volatility models with long memory effects, stochastic optimisation approach for option pricing in incomplete market and random arbitrage.