Math/Stat Home

 

Home Page

Curriculum Vitae

Teaching

Talks

 


Publications by topic

Click here to see publications by date


Hierarchical (aggregation/branching) models

  • Zanardo, S., I. Zaliapin, and E. Foufoula-Georgiou (2013) Are American rivers Tokunaga self-similar? New results on river network topology and its climatic dependence. J. Geophys. Res., 118, 1-18, doi:10.1002/jgrf.20029 [PDF, 2.1 M]

  • Zaliapin, I. and Y. Kovchegov (2012) Tokunaga and Horton self-similarity for level set trees of Markov chains. Chaos, Solitons, and Fractals, 45, 358-372. [PDF 620K]

  • Gabrielov, A., V. Keilis-Borok, S. Olsen, and I. Zaliapin (2013) Predictability of extreme events in a branching diffusion model. [PDF, 250 Kb]

  • Zaliapin, I., E. Foufoula-Georgiou, and M. Ghil (2009) Transport on river networks: A dynamical approach. J. Geophys. Res., 115, F00A15, doi:10.1029/2009JF001281 [PDF,500Kb] arXiv:0902.1554v1

  • Gabrielov, A., V. Keilis-Borok, Y. Sinai, and I. Zaliapin (2008) Statistical properties of the cluster dynamics of the systems of statistical mechanics. ESI Lecture Notes in Mathematics and Physics: Boltzmann's Legacy, European Mathematical Society, G. Gallavotti, W. Reiter and J. Yngvason (Eds.), 203-216 [PDF, 0.5M]

  • Zaliapin, I., H. Wong, and A. Gabrielov (2006) Hierarchical Aggregation in Percolation Model, Tectonophysics, 413, 93-107. [PDF, 0.8M]

  • Zaliapin, I., H. Wong, and A. Gabrielov (2005) Inverse cascade in percolation model: Hierarchical description of time-dependent scaling. Phys. Rev. E, 71, 066118. [PDF, 0.8M]

  • Zaliapin, I., Keilis-Borok, V., and Ghil M. (2003) A Boolean Delay Model of Colliding Cascades. I: Multiple Seismic Regimes. J. Stat. Phys., 111, 3-4, 815-837. [PDF, 1.6M]

  • Zaliapin, I., Keilis-Borok, V., and Ghil M. (2003) A Boolean Delay Model of Colliding Cascades. II: Prediction of Critical Transitions. J. Stat. Phys., 111, 3-4, 839-861. [PDF, 0.7M]

  • Gabrielov, A. M., Keilis-Borok, V. I., Zaliapin I. V., and Newman W. I. (2000) Critical transitions in colliding cascades. Phys. Rev. E, 62, 237-249. [PDF, 1.1M]

  • Gabrielov, A. M., Zaliapin I. V., Keilis-Borok, V. I., and Newman W. I. (2000) Colliding Cascades as a Model for Earthquake Prediction. Geophys. J. Int., 143, 427-437. [PDF, 0.4M]

Computational finance

  • Cvitanic, J., B. Rozovskii, and I. Zaliapin (2006) Numerical estimation of volatility values from discretely observed diffusion data, Comp. Finance. 9(4), 1-36. [PDF, 1.9M]

  • Cvitanic, J., R. Liptser, B. Rozovskii, and I. Zaliapin (2005) Filtering volatility from data observed at random time intervals, Proceedings of the 7th Workshop on Stochastic Numerics, Research Institute for Mathematical sciences, Kyoto University, Japan, pp. 1-25. [PDF, 1.4M]

Climate dynamics

  • Ghil, M. and I. Zaliapin (2012) El Nino/Southern Oscillation: Impacts, Modeling and Forecasts, In Encyclopedia of Natural Hazards, P. Bobrowsky (Ed.), Springer.

  • Zaliapin I. and M. Ghil (2011) Reply to Roe and Baker's comment on "Another look at climate sensitivity" by Zaliapin and Ghil (2010) Nonlin. Processes Geophys., 18, 129-131. [PDF, 0.2Mb]

  • Zaliapin I. and M. Ghil (2010) Another look at climate sensitivity. Nonlin. Processes Geophys., 17, 113-122. [PDF, 0.7Mb]

  • Zaliapin, I. and M. Ghil (2010) A delay differential model of ENSO variability, Part 2: Phase locking, multiple solutions, and dynamics of extrema. Nonlin. Processes Geophys., 17, 113-122. [PDF, 2.0Mb]

  • Ghil, M., I. Zaliapin, and S. Thompson (2008) A delay differential model of ENSO variability: parametric instability and the distribution of extremes. Nonlin. Proc. Geophys., 15, 417-433, 2008. [PDF, 1.5M]

Statistical seismology

  • Zaliapin, I. and Y. Ben-Zion (2013a) Earthquake clusters in southern California, I: Identification and stability. In review. [PDF, 2.1 M]

  • Zaliapin, I. and Y. Ben-Zion (2013b) Earthquake clusters in southern California, II: Classification and relation to physical properties of the crust. In review. [PDF, 1.5 M]

  • Zaliapin, I. and Y. Ben-Zion (2011) Asymmetric distribution of early aftershocks on large faults in California. Geophys. J. Intl., 185, 1288-1304. [PDF, 1.9Mb]

  • Zaliapin, I., A. Gabrielov, V. Keilis-Borok, and H. Wong (2008) Clustering analysis of seismicity and aftershock identification. Phys. Rev. Lett., 101, 018501.  doi:10.1103/PhysRevLett.101.018501. [PDF, 1M]
  • Keilis-Borok, V., P. Shebalin, A. Gabrielov, D. Turcotte, and I. Zaliapin (2006). Short-term earthquake prediction by reverse analysis of lithosphere dynamics. Tectonophysics, 413, 63-75. [PDF, 0.8M]
  • Keilis-Borok, V., A. Soloviev, A. Gabrielov, and I. Zaliapin (2006) Change of scaling before extreme events in complex systems. Pontificae Academiae Scientiarum, Acta 19, The Proceedings of the Plenary Session on Predictability in Science: Accuracy and Limitations, 3-6 November 2006, pp. 37-45.
  • Zaliapin, I., A. Jin, Z. Liu, K. Aki, and V. Keilis-Borok (2005) Temporal (un)correlations between coda Q-1 and seismicity -- Multiscale Trend Analysis. Pure. Appl. Geophys., 162, 827-841. [PDF, 0.5M]
  • Shebalin, P., V. Keilis-Borok, I. Zaliapin, S. Uyeda, T. Nagao, and N. Tsybin (2004) Advance short-term prediction of the large Tokachi-oki earthquake, September 25, 2003, M=8.1 A case history, Earth Planets Space, 56, 715-724. [PDF, 0.6M]
  • Grasso, J.-R. and I. Zaliapin (2004) Predictability of volcano eruption: lessons from a basaltic effusive volcano. Geophys. Res. Lett. 31, No. 5, L05602, doi: 10.1029/2003GL019022. [PDF, 0.2M]
  • Keilis-Borok, V., P. Shebalin, and I. Zaliapin (2002) Premonitory Patterns of Seismicity Months Before a Large Earthquake: Five Case Histories in Southern California. Proc. Nat. Ac. Sci., 99, 16562-16567. [PDF, 0.6M]
  • Zaliapin, I., Z. Liu, G. Zoller, V. Keilis-Borok, and D. Turcotte (2002) On increase of earthquake correlation length prior to large earthquakes in California. Comp. Seismol., 33, 141-161. [PDF, 1.8M]
  • Zaliapin, I., Keilis-Borok, V., and Axen G. (2002) Premonitory Spreading of Seismicity Over the Fault Network in S. California: precursor Accord, J. Geophys. Res., 107, 2221. [PDF, 1M]
  • Peresan, A., Rotwain, I., Zaliapin I., and Panza. G. F. (2002) Stability of intermediate-term earthquake predictions with respect to random errors in magnitude: the case of Central Italy, Phys. Earth Planet. Int., 130, 117-127. [PDF, 0.3M]
  • Shebalin P., I. Zaliapin, and V. Keilis-Borok (2000) Premonitory raise of the earthquakes correlation range: Lesser Antilles, Phys. Earth Planet. Int., 122: 3-4, 241-249. [PDF, 0.5M]
  • Pisarenko, V. F., Zaliapin, I. V., Kuznetsov, I. V., Lyubushin, A. A., Kushnir A. F., and Rukavishnikova, T. A. (2000) Applied analysis of point processes and fields. Statistical analysis of seismic migration. Comp. Seismol. 31. (In Russian).

Hydrology

  • Zanardo, S., I. Zaliapin, and E. Foufoula-Georgiou (2012) Are American rivers Tokunaga self-similar? New results on river network topology and its climatic dependence. In review. [PDF, 4.3 M]

  • Zaliapin, I., E. Foufoula-Georgiou, and M. Ghil (2009) Transport on river networks: A dynamical approach. J. Geophys. Res., 115, F00A15, doi:10.1029/2009JF001281 [PDF,500Kb] arXiv:0902.1554v1

  • Pisarenko, V. F., A. A. Lyubushin, M. V. Bolgov, T. A. Rukavishnikova, S. Kanyu, M. F. Kanevskii, E. A. Savelieva, V. V. Demyanov, and I. V. Zaliapin (2005) Statistical Methods for River Runoff Prediction. Water Resources, 32, 2, 115-126.

Bio-statistics

  • Ikeda, K. et al. (2011) CK1 activates minus-end directed transport of membrane organelles along microtubules. Molecular Biology of the Cell, 22, 1321-1329 [PDF, 2.2Mb]

  • Lomakin, A. J., I. Semenova, I. Zaliapin, P. Kraikivski, E. Nadezhdina, B. M. Slepchenko, A. Akhmanova, and V. Rodionov (2009) Clip-170-dependent capture of membrane organelles by microtubules initiates minus-end directed transport, Developmental Cell, 17, 1-11, doi:10.1016/j.devcel.2009.07.010.
  • Semenova, I., A. Burakov, N. Berardone, I. Zaliapin, T. Svitkina, A. Kashina, and V. Rodionov (2008) Actin dynamics is essential for myosin-based transport of membrane organelles. Current Biology, 18, 1-6. doi: 10.1016/j.cub.2008.08.070
  • Slepchenko, B., I. Semenova, I. Zaliapin, and V. Rodionov (2007) Switching of membrane organelles between cytoskeletal transport systems is determined by regulation of the microtubule-based transport, J. Cell Bio., doi : 10.1083/jcb.200705146. [PDF, 1.5M]
  • Zaliapin, I., I. Semenova, A. Kashina, V. Rodionov (2005) Multiscale trend analysis of microtubule transport in melanophores. Biophysical J., 88(6): 4008-4016, 2005 [PDF, 0.4M]
  • Kashina, A., I. Semenova, P. Ivanov, E. Potekhina, I. Zaliapin, and V. Rodionov (2004) Protein kinase A that regulates intracellular transport forms complexes with molecular motors on organelles. Current Biology, 14, 1-20. [PDF, 2.5M]

Methodology

  • Zaliapin, I. and Y. Kovchegov (2012) Tokunaga and Horton self-similarity for level set trees of Markov chains. Chaos, Solitons, and Fractals, 45, 358-372. [PDF 620K]

  • Ghil et al. (2011) Extreme events: Dynamics, statistics and prediction. Nonlin. Processes Geophys., 18, 295-350. [PDF, 4.3Mb]

  • Ghil, M., I. Zaliapin, and B. Coluzzi (2008) Boolean Delay Equations: A Simple Way of Looking at Complex Systems. Physica D, 237, 2967-2986. doi:10.1016/j.physd.2008.07.006,  arXiv:nlin/0612047 [PDF, 3.7M]

  • Ghil, M., et I. Zaliapin (2006) Une nouvelle source de fractales: les équations booléennes avec retard, et leurs applications aux sciences de la planète, in L'irruption des géométries fractales dans les sciences, Une apologie de l'oeuvre de Benoît Mandelbrot, Editions de l'Académie Européenne Interdisciplinaire des Sciences, Paris, pp. 161-187. (In French) [PDF, 4M]

  • Zaliapin, I., Y. Kagan, and F. Schoenberg (2005) Approximating the distribution of Pareto sums.  Pure. Appl. Geophys., 162, 1187-1228. [PDF, 0.8M]

  • Zaliapin, I., A. Gabrielov, and V. Keilis-Borok (2004) Multiscale Trend Analysis. Fractals, 12 (3), 275-292. [PDF, 1.6M]

  • Zaliapin, I. V. Statistical analysis of point fields and its application to the problem of detecting seismic migration. Ph.D. thesis. International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Ac. Sci., Moscow. (In Russian), 1999.

  • Zaliapin, I. V., and Pisarenko, V. F. (1999) On some properties of the estimation of the coefficient of variation of a point process’ intercurrence times. Proc. of Chelyabinsk Sci. Center 3, 6-10. (In Russian). [PDF, 0.1M]

  • Zaliapin, I. V., Kuznetsov I. V., and Pisarenko, V. F. (1998) Estimation of voting results under existence of interrelations of respondents’ opinions. Proc. of Chelyabinsk Sci. Center 1, 99-108. (In Russian).

 


Questions/comments: zal(at)unr.edu

Last updated: July 31, 2009

Ilya Zaliapin's Home Page