Published papers

  • Survey of Scalings for the Largest Connected Component in Inhomogeneous Random Graphs. Accepted for publication in ``Progress in Probability: Spectral and probabilistic properties of random walks on random graphs'', Birkhauser.
  • The size of the largest component below phase transition in inhomogeneous random graphs. To appear in journal "Combinatorics, Probability and Computations"
  • Merging percolation on $Z^d$ and classical random graphs: Phase transition. (with T. Vallier) Random Structures and Algorithms, 36, 185-217
  • Continuity of the percolation threshold in randomly grown graphs. Electron. J. Probab. 12 (2007), 1036--1047
  • Turova T. and Villa A.On a phase diagram for random neural networks with embedded spike timing dependent plasticity. {\it BioSystems} 89, 280-286.
  • Phase Transitions in the Dynamical Random Graphs. Journal of Statistical Physics, 123 (2006), no. 5, 1007-1032.
  • Berry-Esseen and central limit theorems for serial rank statistics via graphs. Bernoulli 10 (2004), no. 2, 221--250.
  • Long paths and cycles in the dynamical graphs. Journal of Statistical Physics, 110 (2003), 1/2, 385--417.
  • Dynamical random graphs with memory. Phys. Review E, 65 (2002) (See also Turova, T.S. Erratum: Dynamical random graphs with memory [Phys. Rev. E 65, 066102 (2002)] Phys. Rev. E, 70 (2004) 059902
  • Häggström, O., Turova, T. A strict inequality for the random triangle model. J. Statist. Phys. 104 (2001), no. 1-2, 471--482.
  • Mason, D. M.; Turova, T. S. Motoo's combinatorial central limit theorem for serial rank statistics. Prague Workshop on Perspectives in Modern Statistical Inference: Parametrics, Semi-parametrics, Non-parametrics (1998). J. Statist. Plann. Inference 91 (2000), no. 2, 427--440.
  • Haeusler, E.; Mason, D. M.; Turova, T. S. A study of serial ranks via random graphs. Bernoulli 6 (2000), no. 3, 541--570.
  • Berry-Esseen and central limit theorems for serial rank statistics via graphs. Bernoulli (10) no. 2, 221--250.
  • Study of Synaptic Plasticity via Random Graphs. BioSystems (67) 281-286.
  • Neural networks through the hourglass. BioSystems (58) 159-165.
  • Cottrell, M. and Turova, T.S. Use of hourglass model in neuronal coding. Journal of Applied Probability (37) 1, 168-186.
  • Asmussen S. and Turova, T.S. Stationarity properties of neural networks. Journal of Applied Probability (35) 783-794.
  • Exponential rate of convergence of an infinite neuron model with local connections. Stochastic Processes and Their Applications (73) 173-193
  • Malyshev, V.A. and Turova, T.S. Gibbs measures on attractors in biological neural networks. Markov Processes and Related Fields, v. 3, 443-464.
  • Analysis of a biologically plausible neural network via an hourglass model. Markov Processes and Related Fields, v. 2, 487-510.
  • Stochastic dynamics of a neural network with inhibitory and excitatory connections. BioSystems, 40, 197-202.
  • Turova, T.S., Mommaerts, W. and van der Meulen, E.C. (1994), Synchronization of firing times in a stochastic neural network model with excitatory connections, Stochastic Processes and their Applications, 50 pp. 173-186.
  • Mason, D.M. and Turova, T.S. Weak convergence of the Hill estimator process, in J.Galambos et al (eds). Extreme Value Theory and Applications, pp. 419-431.
  • The asymptotic behavior of an infinite system of connected oscillators, (in Russian), Matematicheskiye Zametki , V.54, 5, pp. 99-110. English translation in Mathematical Notes, 1994, 54, No. 5, pp. 1147-1153.
  • Borisyuk, G.N., Borisyuk, R.M., Kazanovich, Ya.B., Luzyanina, T.B., Turova, T.S. and Cymbalyuk, G.S. Oscillatory neural networks. Mathematics and applications (in Russian), Matematicheskoye modelirovaniye, V.4, 1, pp. 2-56.
  • Malyshev, V.A., Ignatyuk, I.A. and Turova, T.S. Stability of infinite systems of stochastic equations (in Russian), "Itogy nauky i techniky. Teoriya veroyatnostey", VINITI, V.27, pp.79-128. English translation in Journal of Soviet Mathematics, 1992, V.61, No 3, pp. 2114-2151.
  • Malyshev, V.A., Podorolskii, V.A., and Turova, T.S. Ergodicity of infinite systems of stochastic equations (in Russian), "Matematicheskiye Zametki", V.45, 4, pp.78-88. English translation in Mathematical Notes, 1989, pp. 318-325.

    Conference Proceedings

  • Exponentially fast convergence of the process of inhibitions , in Proceedings of the Twelfth European Meeting on Cybernetics and Systems Research, Vienna, April, 5-8, 1994.
  • Mommaerts, W., Turova, T.S. and van der Meulen, E.C. Analysis of critical effects in a stochastic neural model, in Proceedings of the European Symposium on Artificial Neural Networks, Brussels, April, 20-22, 1994, pp. 85-90.
  • Analysis of some stochastic neural models. "Aportaciones. Serie Notas de Investigacion, No. 11" Sociedad Matematica Mexicana, pp. 157-169.
  • Invariant measure for an infinite neural network, {\it Proceedings of the European Symposium on Artificial Neural Networks} Brussels, April, 19-21, 1995, pp. 229-233.
  • Note on the random graphs in the subcritical case. Dynamical systems from number theory to probability - 2, (ed. A.Yu. Khrennikov), V{\" a}xj{\" o} University Press, 187--192.

    Submitted papers

  • Asymptotics for the size of the largest component scaled to "log n" in inhomogeneous random graphs.
  • Diffusion approximation for the components in critical inhomogeneous random graphs of rank 1, arXiv:0907.0897 [math.PR]

    ArXiv papers

  • Turova T.S. and Vallier, T. Merging percolation and random graphs: Phase transition in dimension 1. arXiv:math.PR/0609594 (24 p.)