About me

I am a scientist working in the field of mathematical/computational neuroscience and dynamical systems/chaos/ergodic theory.
Currently I am a postdoc at Centre de Recerca Matematica
in Barcelona, Spain. 

My full CV is available here

Personal data:
Name: Dmitrii Todorov
Place of birth: Saint Petersburg, Russia
e-mail: ($at$) <standard gmail post>

Research interests
  • Computational/mathematical neuroscience – neural networks dynamics, point process GLMs, error based (supervised) and
    non-error based(reinforcement) learning, motor adaptation, basal ganglia models, cerebellum models
  • Dynamical systems – random perturbations, shadowing properties, structural and stochastic stability, coupled
    map lattices, ergodic theory, numerical methods, theormodynamical formalism, fractals
  • Probability Theory – Hawkes (self-exciting point) processes, Markov chains, martingale-coboundary approximation
  • Mathematical physics – statistical physics, nonequilibrium thermodynamics, linear response, stochastic field theory
Papers

Dmitrii Todorov, Wilson Truccolo, Stability of stochastic finite-size spiking-neuron networks: Comparing
mean-field, 1-loop correction and quasi-renewal approximations
, submitted to IEEE EMBC 2019 Proceed-
ings

Joaquin Rapela, Dmitrii Todorov, Hidden Markov models applied to LFPs from layer two and three of
human cortex reveal highly stereotypical discrete states in epileptic seizures separated by more than an
hour
, submitted to IEEE EMBC 2019 Proceedings

Joaquin Rapela, Timothe Proix, Dmitrii Todorov, Wilson Truccolo, Uncovering low-dimensional structure
in high-dimensional representations of long-term recordings in people with epilepsy
, submitted to IEEE
EMBC 2019 Proceedings

D. Todorov, R. Capps, W. Barnett, E. M. Latash, T. Kim, K. C. Hamade, S. N. Markin, I. A. Rybak,

T. Kim, R. A Capps, K. C Hamade, W. H Barnett, D. I Todorov, E. Latash, S. N Markin, I. A Rybak, Y.
I Molkov, The functional role of striatal cholinergic neurons in reinforcement learning, Frontiers in Neural
Circuits 13 (2019): 10.

D. Todorov, Wilson Truccolo, Predicting runway excitation in nonlinear Hawkes processes, 27th Annual
Computational Neuroscience Meeting (CNS*2018): Part Two, BMC Neuroscience 2018, 19(Suppl 2):65

D. Todorov, R. Capps, W. Barnett, Y. Molkov, The interplay between basal ganglia and cerebellum in motor adaptation, 26th Annual Computational Neuroscience Meeting (CNS 2017): Part 3, BMC Neuroscience 2017, 18(Suppl 1):60, p106

2017, T. Kim*, K. C. Hamade*, D. Todorov*, W. H. Barnett, R. A. Capps, S. N. Markin, I. A. Rybak, Y. I. Molkov
(authors with * have equal contributions),
Reward based motor adaptation mediated by basal ganglia, Frontiers in Computational Neuroscience 11 (2017): 19.

2016, D. Todorov. Random Chaotic Averaging, submitted to Dynamical Systems: An International Journal


2015, D. Todorov. Hölder properties of Weierstrass-like solutions of θ-twisted cohomological equations
preprint:  http://arxiv.org/abs/1507.08938


2014, D. Todorov, Stochastic Shadowing and Stochastic Stability
preprint:  http://arxiv.org/abs/1411.7604

2013, D. Todorov, Generalizations of analogs of theorems of Maizel and Pliss and their application in Shadowing TheoryDCDS-A, vol. 33, issue 9, pp. 4187 - 4205

2014, D. Todorov, Lipschitz inverse shadowing for nonsingular flows, Dynamical Systems: An International Journal, 2014, volume 29, Issue 1, pp 40-55

2011, S. Yu. Pilyugin, G. I. Vol’fson, D. I. Todorov, Dynamical Systems with Lipschitz Inverse Shadowing Properties, Vestnik St. Petersburg University; Mathematics, 2011, Seriya 1, Volume 3, pp 208-213

N.V. Ivanisenko, E.L. Mishenko, I.R. Akberdin, P.S. Demenkov, V.A. Likhoshvai, K.N. Kozlov, D.I. Todorov, M.G. Samsonova, A.M. Samsonov,
 D. Clausznitzer, L. Kaderali,  N.A. Kolchanov, V.A. Ivanisenko, 
A New Stochastic Model for Subgenomic Hepatitis C Virus Replication Considers Drug Resistant Mutants,
       PLOS ONE, 2014, Volume 9, Issue 3

N.V. Ivanisenko, E.L. Mishenko, I.R. Akberdin, P.S. Demenkov, V.A. Likhoshvai, K.N. Kozlov, D.I. Todorov, M.G. Samsonova, A.M. Samsonov,  N.A. Kolchanov, and V.A. Ivanisenko, 
       Biophysics, 2013, Volume 58, Issue 5, pp 758-774

D. Todorov, Non-normability of Spaces of Keplerian Orbits
preprint:  http://arxiv.org/abs/1210.6203


My full CV is available here
My research statement (some version of it) is available here 
My teaching statement is available here