Preprints and publications

Preprints/Препринты:

• Local structure of random quadrangulations. http://arxiv.org/abs/math.PR/0512304
• On one property of distances in the infinite random quadrangulation. http://arxiv.org/abs/0805.1907
• with A. Yambartsev. Phase transition for the Ising model on the Critical Lorentzian triangulation. http://arxiv.org/abs/0810.2182

Publications/Публикации:

1. with D. Aldous and L. Popovic. Stochastic Models for Phylogenetic Trees on Higher-order Taxa. Journal of Mathematical Biology, 2008, v4, 56, 525--557. http://arxiv.org/abs/q-bio.PE/0702014
2. Explicit enumeration of triangulations with multiple boundaries. Electronic Journal of Combinatorics, 2007, v. 14, R61. http://arxiv.org/abs/0706.0681
3. Conntected allocation to Poisson process in R2. Electronic Communications in Probability 12 (2007) 140--145, http://arxiv.org/abs/math.PR/0701611
4. with D. Aldous. Percolating Paths through Random Points. ALEA 1 (2006) 89-109. http://alea.impa.br/articles/v1/01-05.pdf, http://arxiv.org/abs/math/0509492
5. Bounradies of a random triangulation of a disk. Discrete Mathematics and Applications, 2004. v. 14, No. 3, pp. 301--316. doi:10.1163/1569392031905548 // Границы случайной триангуляци. http://www.iecn.u-nancy.fr/~krikun/pub/o2r.pdf
6. Равномено распределенная бесконечная плоская триангуляция и связанный с ней ветвящийся процесс. Записки научных семинаров ПОМИ, т. 307 (2004) http://www.pdmi.ras.ru/znsl/2004/v307.html // M. Krikun. Uniform infinite planar triangulation and related time-reversed branching process. Journal of Mahtematical Sciences, Vol. 131, No. 2, 2005. http://arxiv.org/abs/math.PR/0311127
7. with G. Fayolle and J-M. Lasgouttes. Birth and death processes on certain random trees: classification and stationary laws. Probability Theory and Related Fields, 2004, v. 128, No. 3, pp. 386-418. doi:10.1007/s00440-003-0311-1
8. with V. A. Malyshev. Random Boundary of a Planar Map. In "Trends in Mathematics. Mathematics and Computer Science II. Algorithms, Trees, Combinatorics and Probabilities", BirkHauser, 2002, pp.83-94. http://www-rocq.inria.fr/~malyshev/Malyshev/Malyshev/3_6.ps
9. with G. Fayolle. Growth Rate and Ergodicity Conditions for a Class of Random Trees. In "Trends in Mathematics. Mathematics and Computer Science II. Algorithms, Trees, Combinatorics and Probabilities", BirkHauser, 2002, pp.381--392.
10. with V.A. Malyshev. Asymptotic Number of Maps on Compact Orientable Surfaces. Discrete Mathematics and Applications, 2001, v. 13, No. 2, pp. 89-98. http://www-rocq.inria.fr/~malyshev/Malyshev/3_4.ps / М. Крикун, В.А. Малышев. Асимптотическое число карт на компактных ориентируемых поверхностях. Дискретная математика, 2001, т.13, No.2, стр.89--98
11. Height of a Random Tree. Markov Processes and Related Fields, 2000 v.6, No.2, pp.135-146.

Rapports de recherche/Разное:

1. avec G. Fayolle. Growth Rate and Ergodicity Conditions for a Class of Random Trees, rapport de recherche N4331, INRIA, 2001. http://www.inria.fr/rrrt/rr-4331
2. avec G. Fayolle et J-M. Lasgouttes. Birth and Death Processes on Certain Random Trees: Classification and Stationary Laws, rapport de recherche N4380, INRIA, 2002. http://www.inria.fr/rrrt/rr-4380

Recent talks // Exposes recents:

• 08/2007 "Connected allocation to Poisson points in R2" -- EBP11, São Paulo, Brazil; http://ebp11.mat.br/
• 03/2007 Allocation connexe à un processus ponctuel de Poisson dans R2 -- ALEA'07, CIRM (slides); http://igm.univ-mlv.fr/alea2007/
• 03/2007 A propos du mariage de Lebesgue et Poisson -- Séminaire de Probabilités IECN
• 02/2007 Coupe-profil d'une quadrangulation aléatoire -- Séminaire de Probabilités et Statistique, Orsay
• 09/2006 Analyse de surfaces aleatoires par les processus de branchement -- Journées MAS de la SMAI, Lille; http://math.univ-lille1.fr/~mas2006/
• 07/2006 Local structure of random quadrangulations -- SPA2006, Paris; http://www.proba.jussieu.fr/spa06/
• 04/2006 Percolation de premier passage et probléme du voyageur de commerce -- Séminaire de Probabilités, IECN, Nancy
• 11/2005 Propriétés locales de cartes planaires aléatoires -- Journées AOC Bordeaux 2005, http://www.lix.polytechnique.fr/~schaeffe/PagesWeb/AOC/

voir aussi: GDT Cartes