Dr Nadia Sidorova

Reader in Pure Mathematics Department of Mathematics, University College London Gower Street, London WC1E 6BT, UK Office: 809, 25 Gordon Street n.sidorova (at) ucl.ac.uk

Research

My research interests

• Random processes in random environment
• Random processes with reinforcement
• Small deviations and conditioning principles (for Galton-Watson trees, Brownian motion etc)
• Stochastic processes on Riemannian manifolds
• Probabilistic models of statistical mechanics
• Rough path theory

Teaching

Publications

• N. Sidorova:
  Time-dependent balls and bins model with positive feedback,
  arXiv:1809.02221 [math.PR], 2018
  
• N. Sidorova:
  Time-dependent Pólya urn,
  arXiv:1807.04844 [math.PR], 2018
  
• S. Muirhead, R. Pymar, N. Sidorova:
  Delocalising the parabolic Anderson model through partial duplication of the potential,
  Probability Theory and Related Fields, 171, issue 3-4, 917-979, 2018
  
• N. Sidorova:
  Small deviations of a Galton-Watson process with immigration,
  Bernoulli 24(4B), 3494-3521, 2018
  
• S. Muirhead, R. Pymar, N. Sidorova:
  A new phase transition in the parabolic Anderson model with partially duplicated potential,
  arXiv:1612.09583 [math.PR], 2016
  
• N. Sidorova, A. Twarowski:
  Localisation and ageing in the parabolic Anderson model with Weibull potential,
  the Annals of Probability, Vol. 42, No. 4, 1666-1698, 2014.
• N. Berestycki, N. Gantert, P. Moerters, N. Sidorova:
  Galton-Watson trees with vanishing martingale limit,
  Journal of Statistical Physics, Vol. 155, Issue 4, 737-762, 2014.
• P. Moerters, M. Ortgiese, N. Sidorova:
  Ageing in the parabolic Anderson model,
  Annales de l'Institut Henri Poincare, Vol. 47, No. 4, 969-1000, 2011
  (supplement to the paper: animation of the limiting process Y appearing in Theorem 1.6)
• A. Collevecchio, W. Koenig, P. Moerters, N. Sidorova:
  Phase transitions for dilute particle systems with Lennard-Jones potential,
  Communications in Mathematical Physics, 299, no. 3, 603-630, 2010
• L. Parnovski, N. Sidorova:
  Critical dimensions for counting lattice points in Euclidean annuli,
  the Mathematical Modelling of Natural Phenomena, Vol. 5 No. 4, 293-316, 2010
• W. Koenig, H. Lacoin, P. Moerters, N. Sidorova:
  A two cities theorem for the parabolic Anderson model,
  the Annals of Probability, Vol. 37, No. 1, 347-392, 2009.
• N. Sidorova, O.Wittich:
  Construction of surface measures for Brownian motion,
  Trends in stochastic analysis: a Festschrift for the 60th birthday of Heinrich von Weizsaecker, 123-158, Cambridge University Press, 2009.
• P. Moerters, N. Sidorova:
  A class of weakly self-avoiding walks,
  Journal of Statistical Physics, 133, 255-269, 2008.
• R. v.d.Hofstad, P. Moerters, N. Sidorova:
  Weak and almost sure limits for the parabolic Anderson model with heavy-tailed potential,
  the Annals of Applied Probability, Vol. 18, No. 6, 2450-2494, 2008.
• T. J. Lyons, N. Sidorova:
  On the radius of convergence of the logarithmic signature,
  Illinois Journal of Mathematics, V.50, N.4, 763-790, 2006.
• T. J. Lyons, N. Sidorova:
  Sound compression - a rough path approach,
  Proceedings of the 4th International Symposium on Information and Communication Technologies, 223-229, Cape Town, January 2005
• N. A. Sidorova, O. G. Smolyanov, H. v. Weizsaecker, and O. Wittich:
  The surface limit of Brownian motion in tubular neighbourhoods of an embedded Riemannian manifold,
  Journal of Functional Analysis, V.206, Issue 2, 391-413, 2004
• N. Sidorova:
  The Smolyanov surface measure on trajectories in a Riemannian manifold,
  Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 7, No. 3, 461-471, 2004.
• N. Sidorova:
  Limiting behavior of surface measures on spaces of trajectories,
  Mathematical Notes 76, no 1-2, 286-290(5), 2004 (translated from Mat. Zametki 76, no. 2, 307-311, 2004)
• N. A. Sidorova:
  Brownian motion on an embedded manifold as the limit of Brownian motions with reflection in its tubular neighborhoods,
  Mathematical Notes 73(5), 895-899, 2003 (translated from Mat. Zametki 73, no.6, 947-950, 2003)
• N. Sidorova:
  Surface measures on paths in an embedded Riemannian manifold,
  PhD thesis, 2003
• N. A. Sidorova, O. G. Smolyanov, H. v. Weizsaecker, O. Wittich:
  Brownian motion close to a submanifold of a Riemannian manifold,
  Proceedings of the First Sino-German Conference on Stochastic Analysis, Beijing, September 2002
• O. G. Smolyanov, H. v. Weizsaecker, O. Wittich, and N. A. Sidorova:
  Wiener surface measures on trajectories in Riemannian manifolds,
  Doklady Mathematics, V.65, N.2, 239-244, 2002 (translated from Doklady Akademii Nauk, Volume 383, Nos. 1-6, 2002)
• J. Kupsch, O. G. Smolyanov, and N. A. Sidorova:
  States of quantum systems and their liftings,
  Journal of mathematical physics, V.42, N.3, 1026-1037, 2001
• O. G. Smolyanov, H. v. Weizsaecker, O. Wittich, and N. A. Sidorova:
  Surface measures generated by diffusions on paths in Riemannian manifolds,
  Doklady Mathematics, V.63, N.2, 203-207, 2001 (translated from Doklady Akademii Nauk, V.377, Nos 1-6, 441-446, 2001)
• I. Kupsch, O. G. Smolyanov, and N. A. Sidorova:
  Several results of the representation of states of open quantum systems,
  Doklady Mathematics, V.63, N.2, 266-270, 2001 (translated from Doklady Akademii Nauk, V.377, Nos 1, 20-24, 2001)
• N. Sidorova:
  Absolute continuity and singularity of measures on paths associated with Levy processes,
  Diploma thesis, 2000

Unpublished papers:

• N. Berestycki, P. Moerters, N. Sidorova:
  A conditioning principle for Galton-Watson trees
  
• W. Koenig, P. Moerters, N. Sidorova:
  Complete localisation in the parabolic Anderson model with heavy-tailed potential.

Last modified: 23-Aug-2018 by Nadia Sidorova