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Thinning-Stable Point Processes as a Model for Spatial
Burstiness. WiOpt-25 Conference, Lindköping, Sweden, 26-29 of May 2025 ArXiv version
.
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Corrections: On the capacity functional of the infinite cluster of a Boolean model
(with G. Last and M.D. Penrose). Annals Appl. Probab,
2024, 34,(3), 3370-3374 Full corrected ArXiv version
.
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Amendment to: Populations in environments with
a soft carrying capacity are eventually extinct
(with P. Jagers). J. Math. Biol. June 2021 online version
.
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Populations in environments with
a soft carrying capacity are eventually extinct
(with P. Jagers). J. Math. Biol. August 2020 online version
.
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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
.
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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
.
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Applications of the perturbation formula for Poisson processes to elementary and geometric probability
(with G. Last). July 2019 ArXiv version
.
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Functional central limit theorems for occupancies and missing mass process in infinite urn models
(with M. Chebunin). J. Theoretical Probab., 2022,
35, 1-19. ArXiv version
.
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Finite thinning-selfdecomposable point processes (with M. Davydov).
Statistics and Probability Letters, 2019 146, 132-138 journal version
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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!
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On the capacity functional of the infinite cluster of a Boolean model
(with G. Last and M.D. Penrose). Annals Appl. Probab,
2017, 27(3), 1678-1701
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Neighbour-dependent point shifts and random exchange models:
invariance and attractors (with A. Muratov).
Bernoulli, 23(1), 539-551, 2017 Preprint version
.
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Bit flipping and time to recover (with A. Muratov).
J. Appl. Prob. 53, 1-17, 2016 Preprint version
.
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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!
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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
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Branching-stable point processes (with G. Zanella). Electronic
Journal of Probability, 2015, 20,
no. 119, 1-26. link to the article
.
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LISA: Locally Interacting Sequential Adsorbtion (with A. Muratov).
Stoch. Models, 29(4), 475-496, 2013. Preprint version
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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
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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!
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Stability for random measures, point processes and discrete semigroups (with Yu. Davydov and
I. Molchanov).
Bernoulli, 17(3), 1015-1043, 2011. Preprint version
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Filters for Spatial Point Processes (with S.S. Singh, B.-N. Vo and A. Baddeley).
SIAM J. on Control and Optimization, 48,
2275-2295, 2009.
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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
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Imputation for point patterns: measure variation approach.
Proc. IWAP-2008 Conference, the Invited Talks Papers,
Compégne, France, July 2008. pdf-file
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Random Laguerre Tessellations (with C. Lautensack).
Adv. Appl. Probab., 40(3), 630-650 2008.
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On Search Sets of Expanding Ring Search in Wireless Networks
(with J. Deng). Ad Hoc Networks, 8(7), 1168-1181, 2008
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Strictly stable distributions on convex cones (with Yu. Davydov and
I. Molchanov) Electronic
Journal of Probability, 2008, 13, 259-351. pdf-file
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Approximate models for bacteria leaching through porous media (with
G. Horgan, I. Molchanov and V. Shcherbakov) Applied
Mathematics and Computation, 188,
1941-1954, 2007.
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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),
321-326, 2007.
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Strong Markov property of Poisson processes and Slivnyak formula.
Lect. Notes in Stat., 185,
77-84, 2006 post-script
file pdf-file,
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Critical growth of a semi-linear process. (with I. Molchanov and
V. Shcherbakov) J. Appl. Probab., 41(2), 355-367, 2004. post-script
file pdf-file
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Stochastic geometry modelling of hybrid optical networks.
(with C. Farinetto) Performance Evaluation 57,
441-452, 2004.
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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,
2003
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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,
2003
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Steepest descent algorithms in space of measures (with I. Molchanov)
Statistics and Computing, 12,
115-123, 2002. Add-on!
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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)
Development, 129(21),
4891-4899, 2002.
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Clustering methods based on variational analysis in the space of
measures. (with M. N. M. van Lieshaut and
I. Molchanov) Biometrika, 88,
1021--1033, 2001
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Aggregate and fractal tessellations. (with K. Tchoumatchenko) Prob. Th. Rel. Fields. 121, 198-218, 2001. Add-on!
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Polling systems in the critical regime. (with M. Menshikov) Stoch. Proc. Applic. 92, 201-218, 2001.
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Variational Analysis of Functionals of a Poisson Process. (with I. Molchanov). Math. Oper. Research 25(3), 485-508, 2000
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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
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Tangent Sets in the Space of Measures: with Applications to
Variational Analysis. (with I. Molchanov) J. Math. Anal. Appl., 249, 539-552, 2000.
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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.
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Superposition of planar Voronoi tessellations.
(with F. Baccelli and C. Gloaguen) Comm. Statist. Stoch. Models, 16(1), 69-98, 2000. Add-on!
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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
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Stopping sets: Gamma-type results and hitting properties. Adv. Appl.
Probab., 31(2), 355-366, 1999
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Variational Analysis of Functionals of a Poisson Process. (with I. Molchanov). INRIA. Rapport
de recherche, 3302 1997 pdf-file
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Poisson-Voronoi Spanning Trees with Applications to the Optimization of
Communication Networks. (with F. Baccelli) Oper. Research, 47(4), 619-631,
1999
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Stochastic geometry and architecture of communication networks. (with F. Baccelli, M. Klein and M.
Lebourges) J. Telecommunication
Systems, 7, 209-227, 1997
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On a Voronoi aggregative process related to a bivariate Poisson process.
Adv.
Appl. Probab., 28(4), 965--981, 1996 (with S. Foss)
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Simulations of large telecommunication networks based on probabilistic
modeling. J. Electronic Imaging, 6(1), 68-77, 1997 (with
H. Rakotoarisoa and P. Desnogues)
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Géométrie aléatoire et architecture de réseaux
de communications. Annales des Télécommunications,
51,
158-179, 1996 (in French) (with F. Baccelli, M. Klein and M. Lebourges)
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Gamma-type Results and Other Related Properties of Poisson Processes. Adv.
Appl. Probab., 28(3), 662-673, 1996 (with J. Moller)
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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)
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Perturbation Analysis of Functionals of Random Measures. Adv. Appl.
Probab., 27, 306-325, 1995 (with F. Baccelli and M. Klein)
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Russo's Formula for the Poisson Point Processes and its Applications, Discrete
Math. and Applications, 3, 63-73, 1993
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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)
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Estimates for Distributions of the Voronoi Polygon's Geometric Characteristics,
Random
Struct. and Algorithms, 3, 149 - 162, 1992
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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)
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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,
ser.A, 1988
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Approximation Methods in Percolation Theory. Ph.D. Thesis, Moscow
State University, 1987 (in Russian).
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Estimation Algorithms of Infinite Graph Percolation Threshold, Lect.
Notes in Computer Sci., 278, 310 - 313, 1987 (with M.V.Menshikov)
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Level Surfaces of Multiparameter Percolation and their Estimation,
VINITI,
N4120-B87,
1987 (in Russian).
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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,
551-552, 1987
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Continuous Models of Percolation Theory.II, Teotretich. i matematich.
Fizika, 62, 253-262, 1985 (in Russian). English translation:
Theoretical
and Mathematical Physics 62, 171-177, 1985 (with A.F.Sidorenko)
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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)
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