http://www.maths.manchester.ac.uk/~sf/%20

http://www.maths.manchester.ac.uk/~sf/%20

http://www.maths.manchester.ac.uk/~sf/%20

http://www.maths.manchester.ac.uk/~sf/%20

http://www.maths.manchester.ac.uk/~sf/%20

http://www.maths.manchester.ac.uk/~sf/%20

http://www.maths.manchester.ac.uk/~sf/%20

http://www.maths.manchester.ac.uk/~sf/%20

http://www.maths.manchester.ac.uk/~sf/%20

     http://www.maths.manchester.ac.uk/~sf/research_files/logo2.gif

 

 

 

 

 

 

 

 

Publications

 

 

Current Grants

 

1) Funding of £291,257 from EPSRC on the project EP/J019526/1 "Anomalous reaction-transport equations” (PI).

Date: 1 October 2012 – 30 September 2015.

 

2) Together with Professor Emmanuel Haven (PI), an ESRC grant “Financial Modelling Post 2008: Where Next?” (2012-2013).

Total: £18,000.

 

 

 

 

 

 

 

 

 

Research

 

 

 

Here is the video of my lecture at the Isaac Newton Institute for Mathematical Sciences, The University of Cambridge, 2010.

 

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

 

Fedotov's major research interests lie in the general area of non-linear phenomena in statistical physics, random walk theory, front propagation theory and turbulent combustion. He has published over 70 refereed papers on reaction-transport systems. He is a coauthor of a recent book Reaction-Transport Systems: Mesoscopic Foundations, Fronts, and Spatial Instabilities, Springer Series in Synergetics, 450 p., 2010 (together with V. Mendez (Barcelona, Spain) and V. Hortshemke (Dallas, USA)).

 

Fedotov was the Principal Investigator on EPSRC grant GR/M72241/01 which concerned with the large scale dynamics of reaction fronts in turbulent flow (1999-2001). As a recognition of his work in turbulence and combustion he was twice awarded a Senior Research Fellowship at Stanford University (1999-2004). He was an Invited Professor at Stanford University in 2006 and 2007. Fedotov has developed a stochastic approach to the problem of the growth of a magnetic field. The research was concerned with random advection/stochastic mixing, stochastic amplification of magnetic energy in the turbulent dynamo for subcritical case and magnetic waves in galaxies with memory effects. He was supported by The Royal Society Joint Project Grant Galactic magnetic ¯eld generation in subcritical case as a Project Leader.

 

For a period of over ten years, Fedotov has successfully applied random walks ideas to a broad range of analytical studies of travelling waves. The research is focused on the development of anomalous random walk models with reactions. Examples are (i) migration and proliferation dichotomy in tumor 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 e®ects as a Principal Investigator (2006-2008). He has been an Invited Professor at the Autonomous University of Barcelona in 2007, 2008,  2009 and 2012. Fedotov has been a Research Fellow of the Institute for Mathematics and its Applications, Minneapolis, USA in 2008 and a Fellow of the Isaac Newton Institute for Mathematical Sciences, Cambridge, for five months in 2010. He is regularly invited to be the keynote speaker at conferences on reaction-transport systems.

 

In recent years Fedotov has been a Team Leader of EC Project FEPRE The Formation of Europe: Prehistoric Population Dynamics and the Roots of Socio-Cultural Diversity (2007-2010). This multidisciplinary 850,000 Euro project involved archeologists, demographers, physicists and applied mathematicians from France, Poland, Russia, Spain and the UK. It was 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.

 

 

 

 

 

 

 

 

 

 

Recent book:

 

http://www.maths.manchester.ac.uk/~sf/research_files/book.jpg   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 was 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: £10,279.

Recently Sergei Fedotov received funding as PI from EPSRC to work on the project "Anomalous reaction-transport equations: applications to the theory of cancer spreading and subdiffusion in dendrites" (EP/J019526/1). Total: £291,257.28. Duration: 3 years. The general objectives of the project are (i) to develop the mesoscopic two-state model of anomalous transport with reactions by using probabilistic approach to underlying microscopic  reactions, subdiffusive and superdiffusive transport; (ii) to apply this new model  to biologically-motivated problems: anomalous transport in spiny dendrites and transport of cancer cells with phenotypic switching.

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 was a Team Leader of EC Project FEPRE “The Formation of Europe: Prehistoric Population Dynamics and the Roots of Socio-Cultural Diversity” (2007-2010). Total: 850,000 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). 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 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 modelling

The research is concerned with the stochastic volatility models with long memory effects, stochastic optimisation approach for option pricing in incomplete market and credit risk modelling. Together with Professor Emmanuel Haven (PI), Dr. Fethi and Professors Phil Molyneux, John Wilson, an ESRC grant has been awarded on the topic “Financial Modelling Post 2008: Where Next?” (2012-2013). Total: £18,000.