Publications  (as a pdf file)

      

1.                M.Z. Solomyak, E. Verbitskiy, On a spectral problem related to self-similar measures, Bull. London Math. Soc. 27, 242-248 (1995).

2.                F. Takens, E. Verbitskiy, Generalized entropies, Mat.Zametki (in Russian), vol. 63, no.1, 127-130 (1998); translation in Math. Notes, 63 no. 1-2, 112–115 (1999).

3.                F. Takens, E. Verbitskiy, Generalized entropies: RŽnyi and correlation integral approach. Nonlinearity, vol. 11, no.4 , pp.771-782 (1998).

4.                F. Takens, E. Verbitskiy, Multifractal analysis of local entropies for Gibbs measures, Periodica Mathematica Hungarica, vol. 37, no.1-3, 143-151 (1998).

5.                F. Takens, E. Verbitskiy, Multifractal analysis of entropies for expansive homeomorphisms with specification, Communications in Mathematical Physics 203, 593-612 (1999).

6.                C. Maes, F. Redig, F. Takens, A.van Moffaert, E. Verbitskiy, Intermittency and weakly Gibbs states, Nonlinearity, 13, no.5, 1681-1698 (2000).

7.                E. Verbitskiy, Generalized Entropies in Dynamical Systems, PhD Thesis, University of Groningen, ISBN 90-367-1287-4, 214 pages (2000).

8.                F. Takens, E. Verbitskiy, General multifractal analysis of local entropies, Fundamenta Mathematicae, 165, 203-237 (2000).

9.                F. Takens, E. Verbitskiy, Multifractal analysis of dimensions and entropies, Regular & Chaotic Dynamics, 5, no.4 361–382 (2000).

10.            F.Takens, E. Verbitskiy, RŽnyi entropies of aperiodic automorphisms, Israel Journal of Mathematics, 127, 279-302 (2002).

11.             F. Bittner, D. Denteneer, S. Kronemeijer, M. Nuyens, S. Orzan, J. Rougemont, E. Verbitskiy, D. Znamenski, On lossless compression of 1-bit audio signals, Proceedings of the Forty-Second European Study Group with Industry, CWI Syllabi 51, 21-39, (2002).

12.            C. Maes, E. Verbitskiy, Fluctuation symmetry for chaotic homeomorphisms, Communications in Mathematical Physics 233, no. 1, 137–151 (2003).

13.            F. Takens, E. Verbitskiy, On the variational principle for the topological entropy of certain non-compact sets, Ergodic Theory and Dynamical Systems 23, no. 1, 317-348 (2003).

14.            E. Verbitskiy, P. Tuyls, D. Denteneer, J.-P. Linnartz, Reliable Biometric Authentication with Privacy Protection, 24th Symposium on Information Theory in Benelux, 125-132 (2003).

15.             A. Ledovskikh, E. Verbitskiy, A. Ayeb, P. Notten, Modelling of rechargeable NiMH batteries, Journal of Alloys and Compounds 356-357, pp. 742-745 (2003).

16.            M. Abadi, J.-R. Chazottes, F. Redig, E. Verbitskiy, Exponential distribution for the occurrence of rare patterns in Gibbsian random fields, Communications in Mathematical Physics 246, no. 2, 269–294 (2004).

17.            P. Tuyls, E. Verbitskiy, T. Ignatenko, D. Schobben, T.Akkermans, Privacy Protected Biometric Templates: Acoustic Ear Identification, Proc SPIE vol 5404, Defense and Security Symposium (2004), p.176-182.

18.            J.-R. Chazottes, F. Redig, E. Verbitskiy, Occurrence of patterns in random fields, 25th Symposium on Information Theory in Benelux, 73-80 (2004).

19.            A.C.D. van Enter, E. Verbitskiy, On the variational principle for generalized Gibbs measures, Markov Process. Related Fields 10 (2004), no. 3, 411–434.

20.            P. Tuyls, E. Verbitskiy, J. Goseling, D. Denteneer, Privacy protecting biometirc authentication systems: an overview. XII European Signal Processing Conference, Vienna, Austira (2004)[Online]

21.            P.H.L. Notten, E. Verbitskiy, W.S. Kruijt, and H.J. Bergveld, Oxygen Evolution and Recombination Kinetics Inside Sealed Rechargeable, Ni-Based Batteries, Journal of The Electrochemical Society 152, no.7, A1423-A1433 (2005). [Online]

22.            W.Th.H.den Hollander, D. Denteneer, E. Verbitskiy (editors), Stochastics and Dynamics. Festschrift in honour of M. Keane. IMS Lecture Notes – Monograph Series vol. 48 (2006). [Online]

23.            S. Baggen, V. Balakirsky, D. Denteneer, S. Egner, H. Hollmann, L. Tolhuizen, E. Verbitskiy, Entropy of the bit-shift channel. Dynamics & Stochastics, IMS LNMS vol. 48 , 274-285 (2006). [Online]

24.            J.-R. Chazottes, F. Redig, E. Verbitskiy, On Approximate Pattern-matching for a Class of Gibbs Random Fields, The Annals of Applied Probability 16, No. 2, 670684 (2006). [Online]

25.            I. Snihir, W. Rey, E. Verbitskiy, A. Ayeb, P. Notten, Battery open-circuit voltage estimation by a method of statistical analysis. Journal of Power Sources, Volume 159, Issue 2, pages 1484-1487 (2006). [Online]

26.            B. Schoenmakers, J. Tjoelker, P. Tuyls, E. Verbitskiy, Smooth Renyi Entropy of Ergodic Quantum Information Sources, Proceedings of International Symposium on Information Theory, pp. 256-260 (2007).

27.            A.V. Sazonov, H.C. Keong, J.W.M. Bergmans, J.B.A.M. Arends, P.Griep, E. Verbitskiy, P. Cluitmans, P. Boon, Analysis of the Phase Locking Index for Measuring of Interdependency of Cortical Signals Recorded in the EEG, Proceedings of the 29th IEEE Eng. Medicine Biology Soc. (2007).

28.            A. C. D. van Enter, F. Redig, E. Verbitskiy, Gibbsian and non-Gibbsian states at Eurandom, Statistica Neerlandica vol. 62, no. 3, pp. 331-344 (2008).

29.            B. Škorić, C. Obi, B. Schoenmakers, E. Verbitskiy, Sharp lower bounds on the extractable randomness from non-uniform sources, Proceedings WISSEC08 (2008).

30.            E. Verbitskiy, G. von Basum, P. de Bokx, I. Sadaane, C. van Put, H.R. Haak, Novel approach to stochastic modeling and prediction of continuous glucose data, 8th annual Diabetes Technology Meeting (abstract) (2008).

31.            A.V. Sazonov, H.C. Keong, J.W.M. Bergmans, J.B.A.M. Arends, P.Griep, E. Verbitskiy, P. Cluitmans, P. Boon, An Investigation of the Phase Locking Index for Measuring of Interdependency of Cortical Source Signals Recorded in the EEG, Biological Cybernetics 100, no. 2, pp. 129-146 (2009).

32.            K. Schmidt, E. Verbitskiy, Abelian Sandpiles and the Harmonic Model, Communications in Mathematical Physics 292:3, pp. 721–759, (2009). [Online]

33.            J.-R. Chazottes, P. Collet, F. Redig, E. Verbitskiy, A concentration inequality for interval maps with an indifferent fixed point, Ergodic Theory and Dynamical Systems 29:4, pp.1097-1117, (2009). [Online]

34.            M. Hoekstra, M. Vogelzang, E. Verbitskiy, M.W.N. Nijsten, Computerized glucose regulation in the intensive care unit – How to create artificial control?, Critical Care 13:223, (2009). [Online]

35.            E. Verbitskiy, P. Tuyls, C. Obi, B. Škorić, B. Schoenmakers, Key Extraction From General Non-Discrete Signals, IEEE Trans. on Information Forensics and Security, vol. 5, no. 2, pp. 269 - 279, (2010) [Online]

36.            M. Hoekstra, M. Vogelzang, E. Verbitskiy, M.W.N. Nijsten, Hourly measurements not required for safe and effective glycemic control in the critically ill patient, Critical Care 14:404 (2010). [Online]

37.            A.C.D. van Enter, E. Verbitskiy, Erasure Entropies and Gibbs Measures, Markov Processes Relat. Fields 16, 3-14 (2010). [Online]

38.            E. Verbitskiy, Mathematics in the industrial environment: Dutch perspective, to appear in Theoretical Casimir Force, Casimir Operators and the Riemann Hypothesis G. van Dijk, M. Wakayama (eds.), Verlag Walter de Gruyter GmbH, pp. 21-28, (2010) [Online]

39.            E. Verbitskiy, Variational Principle for Fuzzy Gibbs Measures, Moscow Mathematical Journal, vol. 10, no. 4, pp. 811-829 (2010).

40.            D. Lind, K. Schmidt, E. Verbitskiy, Entropy and growth rate of periodic points of algebraic ℤd-actions, Numbers and Dynamics, Sergiy Kolyada, Yuri Manin, Martin Mšller, Pieter Moree & Thomas Ward (eds). Contemporary Mathematics, Amer. Math. Society, Volume 532 (December, 2010). [arXiv:0912.5169]

41.            K. Schmidt, E. Verbitskiy, New directions in Algebraic Dynamics, Regular & Chaotic Dynamics 15, no. 6 (December, 2010).

42.            A.C. den Brinker, H. Krishnamoorthi, E. Verbitskiy, Similarities and Differences between Warped Linear Prediction and Laguerre Linear Prediction, IEEE Trans. on Audio, Speech, and Language Processing 19, no. 1, pp. 24-33 (2011). [Online]



To appear

43.            E. Verbitskiy, Thermodynamics of Hidden Markov Processes, to appear in Entropy of Hidden Markov Processes and Connections to Dynamical Systems, B. Marcus, K. Petersen, & T. Weissman (eds.), London Mathematical Society Lecture Note Series 385, Cambridge University Press (July, 2011).

 

Work in progress/preprints

 

44.            R. Fernandez, E.Verbitskiy, Cluster Expansion for Hidden Markov Processes.

45.            E.Verbitskiy, On factors of g-measures.

46.            E.Verbitskiy, Identification of Gibbs potentials for Hidden Markov Processes.

47.            D. Lind, K. Schmidt, E. Verbitskiy, Atoral polynomials and homoclinic points of algebraic dynamical systems.

48.            B. Skoric, C. Obi, E. Verbitskiy, L.A.M. Schoenmakers, Sharop lower bounds on the extractable randomness from non-uniform sources, Cryptology ePrint Archive No. 2008/484, IACR, 17 pp. [Online]

 

 

 

Patents

 

WO 2004/104899, EP 1629628, US 2007/0044139,
METHOD AND SYSTEM FOR AUTHENTICATION OF A PHYSICAL OBJECT 

 

WO 2005/098824, EP 1895512, US 2007/0239442
MULTI-CHANNEL ENCODER 

  WO 2006/054208, EP 1815637, US 2009/0006855
SECURELY COMPUTING A SIMILARITY MEASURE 

  WO 2007/036825
FINGERPRINT MATCHING 

  WO 2008/012718
OPTICAL DISC DRIVE WITH DISC RECOGNITION 

  WO 2008/038194, US 20100010364
DEVICE FOR AMBULATORY MONITORING OF BRAIN ACTIVITY

  US 20090312621
METHOD AND DEVICE FOR MONITORING A PHYSIOLOGICAL PARAMETER