Amendment to: Populations in environments with
a soft carrying capacity are eventually extinct
(with P. Jagers). J. Math. Biol. June 2021 online version.
Populations in environments with
a soft carrying capacity are eventually extinct
(with P. Jagers). J. Math. Biol. August 2020 online version.
On a Linear Polymerisation Process.
Proceedings of the Second International
Workshop on Stochastic Modeling and Applied Research of
Technology (SMARTY 2020) Petrozavodsk, Russia, 16-20 August, 2020 full paper.
Does the death postponement phenomenon really exist?
(with H. Rootzen).
Proceedings of the 6th Stochastic
Modeling Techniques and Data Analysis International Conference
with Demographics Workshop 2-5 June, 2020, pp.129-139 full paper.
Applications of the perturbation formula for Poisson processes to elementary and geometric probability
(with G. Last). July 2019 ArXiv version.
Functional central limit theorems for occupancies and missing mass process in infinite urn models
(with M. Chebunin). June 2019 ArXiv version.
Finite thinning-selfdecomposable point processes (with M. Davydov).
Statistics and Probability Letters, 2019 146, 132-138 journal version
Nonparametric estimation of compound Poisson process via variational
analysis on measures (with A. Lindo and S. Sagitov).
Statistics and Computing, 2018 28, 563-577 online version, Add-on!
On the capacity functional of the infinite cluster of a Boolean model
(with G. Last and M.D. Penrose). Annals Appl. Probab, 2017 ArXiv version.
Neighbour-dependent point shifts and random exchange models:
invariance and attractors (with A. Muratov).
Bernoulli, 23(1), 539-551, 2017 Preprint version.
Bit flipping and time to recover (with A. Muratov).
J. Appl. Prob. 53, 1-17, 2016 Preprint version.
Optimal design of dilution experiments under volume
constraints (with M. Zolghadr). J. of Agricultural, Biological,
and Environmental Statistics 21(4), 663-683, 2016. Preprint version. Add-on!
Variational analysis of Poisson processes (with I. Molchanov). Chapter in G. Peccati and M. Reitzner, editors. Stochastic analysis for Poisson point processes: Malliavin calculus, Wiener-Itô chaos
expansions and stochastic geometry. Springer, 2016
Branching-stable point processes (with G. Zanella). Electronic
Journal of Probability, 2015, 20,
no. 119, 1-26. link to the article.
LISA: Locally Interacting Sequential Adsorbtion (with A. Muratov).
Stoch. Models, 29(4), 475-496, 2013. Preprint version
A stochastic model for the polygonal tundra based on
Poisson-Voronoi diagrams. (with F. Cresto-Aleina,
V. Brovkin, S. Muster, J. Boike, L. Kutzbach and T. Sachs). Earth Syst. Dynam., 4, 187-198, 2013 pdf-file
Coverage Properties of the Target Area in Wireless
Sensor Networks (with X. Li and D. K. Hunter). IEEE
Trans. Info. Theory, 58, 430-437, 2012 pdf-file Add-on!
Stability for random measures, point processes and discrete semigroups (with Yu. Davydov and
Bernoulli, 17(3), 1015-1043, 2011. Preprint version
Filters for Spatial Point Processes (with S.S. Singh, B.-N. Vo and A. Baddeley).
SIAM J. on Control and Optimization, 48,
Stochastic geometry and telecommunications networks. In W. S. Kendall and
I. Molchanov, editors. Stochastic Geometry: Highlights, Interactions and New Perspectives.
Oxford University Press, pp. 509-542, 2009
Imputation for point patterns: measure variation approach.
Proc. IWAP-2008 Conference, the Invited Talks Papers,
Compégne, France, July 2008. pdf-file
Random Laguerre Tessellations (with C. Lautensack).
Adv. Appl. Probab., 40(3), 630-650 2008.
On Search Sets of Expanding Ring Search in Wireless Networks
(with J. Deng). Ad Hoc Networks, 8(7), 1168-1181, 2008
Strictly stable distributions on convex cones (with Yu. Davydov and
I. Molchanov) Electronic
Journal of Probability, 2008, 13, 259-351. pdf-file
Approximate models for bacteria leaching through porous media (with
G. Horgan, I. Molchanov and V. Shcherbakov) Applied
Mathematics and Computation, 188,
Stable distributions and harmonic analysis on convex cones (with Yu. Davydov and I. Molchanov) Comptes Rendus de l'Académie des
Sciences. Comptes Rendus Mathematiques 344(5),
Strong Markov property of Poisson processes and Slivnyak formula.
Lect. Notes in Stat., 185,
77-84, 2006 post-script
Critical growth of a semi-linear process. (with I. Molchanov and
V. Shcherbakov) J. Appl. Probab., 41(2), 355-367, 2004. post-script
Stochastic geometry modelling of hybrid optical networks.
(with C. Farinetto) Performance Evaluation 57,
Optimisation in space of measures and optimal design
(with I. Molchanov). ESAIM: Probability and Statistics,
8, 12-24, 2004 Abstract
- Estimation of percolation threshold via percolation in
inhomogeneous media (with J. Quintanilla)
J. Math. Phys., 44(12), 6040-6046,
Decomposition of gamma-distributed domains constructed from Poisson
point processes. (with R.J. Cowan and M.P. Quine)
Adv. Appl. Probab., 35(1), 56-69,
Steepest descent algorithms in space of measures (with I. Molchanov)
Statistics and Computing, 12,
115-123, 2002. Add-on!
Quantitative developmental anatomy of definitive haematopoietic stem
cells/long-term repopulating units (HSC/RUs) (with
P. Kumaravelu, L. Hook, A. M. Morrison, J. Ure,
S. Zhao, J. Ansell and A. Medvinsky)
Clustering methods based on variational analysis in the space of
measures. (with M. N. M. van Lieshaut and
I. Molchanov) Biometrika, 88,
Aggregate and fractal tessellations. (with K. Tchoumatchenko) Prob. Th. Rel. Fields. 121, 198-218, 2001. Add-on!
Polling systems in the critical regime. (with M. Menshikov) Stoch. Proc. Applic. 92, 201-218, 2001.
Variational Analysis of Functionals of a Poisson Process. (with I. Molchanov). Math. Oper. Research 25(3), 485-508, 2000
Design of inhomogeneous materials with given structural properties
(with I. Molchanov and S.N. Chiu) Physical Rev., 62, 4544--4552, 2000.
post-script file, pdf file
Tangent Sets in the Space of Measures: with Applications to
Variational Analysis. (with I. Molchanov) J. Math. Anal. Appl., 249, 539-552, 2000.
Optimisation in space of measures and optimal design. (with I. Molchanov) In A.C. Atkinson,
B. Bogacka, and A. Zhigljavsky, editors, Optimum Experimental Design:
Prospects for the New Millennium. Kluwer, 79-90, 2000.
Superposition of planar Voronoi tessellations.
(with F. Baccelli and C. Gloaguen) Comm. Statist. Stoch. Models, 16(1), 69-98, 2000. Add-on!
Markov paths on the Poisson-Delaunay graph with applications to routeing
in mobile networks. (with
F. Baccelli and K. Tchoumatchenko) Adv. Appl. Probab., 32(1), 1-18, 2000
Stopping sets: Gamma-type results and hitting properties. Adv. Appl.
Probab., 31(2), 355-366, 1999
Variational Analysis of Functionals of a Poisson Process. (with I. Molchanov). INRIA. Rapport
de recherche, 3302 1997 pdf-file
Poisson-Voronoi Spanning Trees with Applications to the Optimization of
Communication Networks. (with F. Baccelli) Oper. Research, 47(4), 619-631,
Stochastic geometry and architecture of communication networks. (with F. Baccelli, M. Klein and M.
Lebourges) J. Telecommunication
Systems, 7, 209-227, 1997
On a Voronoi aggregative process related to a bivariate Poisson process.
Appl. Probab., 28(4), 965--981, 1996 (with S. Foss)
Simulations of large telecommunication networks based on probabilistic
modeling. J. Electronic Imaging, 6(1), 68-77, 1997 (with
H. Rakotoarisoa and P. Desnogues)
Géométrie aléatoire et architecture de réseaux
de communications. Annales des Télécommunications,
158-179, 1996 (in French) (with F. Baccelli, M. Klein and M. Lebourges)
Gamma-type Results and Other Related Properties of Poisson Processes. Adv.
Appl. Probab., 28(3), 662-673, 1996 (with J. Moller)
Stochastic geometry models of mobile communication networks. In Frontiers
in queueing. Models and Applications in Science and Engineering., Eds.
J.H. Dshalalow, CRC Press, 227-244, 1997 (with F. Baccelli)
Perturbation Analysis of Functionals of Random Measures. Adv. Appl.
Probab., 27, 306-325, 1995 (with F. Baccelli and M. Klein)
Russo's Formula for the Poisson Point Processes and its Applications, Discrete
Math. and Applications, 3, 63-73, 1993
Models of rho-percolation, Probabilistic Methods in Discrete Mathematics,
Proceedings of the 3-rd International conference, Petrozavodsk, 12-15 May
1992, 337-347 (with M.V.Menshikov)
Estimates for Distributions of the Voronoi Polygon's Geometric Characteristics,
Struct. and Algorithms, 3, 149 - 162, 1992
Timber Trolley Traffic Simulations Based on Stochastic Analysis, Izvestiya
Vuzov (High School Proc.) Forest journal, 4, 50 -54, 1990 (in
Russian) (with G.I.Kolnichenko)
A Lower Bound for the Percolation Threshold of the Square Lattice, Vestnik
MGU ser.1 (Mathematics and Mechanics), 5, 59 - 61, 1988 (in
Russian). English translation: Moscow University Mathematics Bulletin,
Approximation Methods in Percolation Theory. Ph.D. Thesis, Moscow
State University, 1987 (in Russian).
Estimation Algorithms of Infinite Graph Percolation Threshold, Lect.
Notes in Computer Sci., 278, 310 - 313, 1987 (with M.V.Menshikov)
Level Surfaces of Multiparameter Percolation and their Estimation,
1987 (in Russian).
Estimates for the Percolation Threshold of the Square lattice, Teoria
Veroyatn. i ee Primeneniya, XXXII, 606 - 609, 1987 (in Russian).
English translation: Theory of Probability and its Applications, 32,
Continuous Models of Percolation Theory.II, Teotretich. i matematich.
Fizika, 62, 253-262, 1985 (in Russian). English translation:
and Mathematical Physics 62, 171-177, 1985 (with A.F.Sidorenko)
Continuous Models of Percolation Theory.I, Teotretich. i
matematich. Fizika, 62, 76-86, 1985 (in Russian). English
translation: Theoretical and Mathematical Physics 62,
51-58, 1985 (with A.F.Sidorenko)