The
vacant set of two-dimensional critical random interlacement is infinite.
(with Francis Comets).
To appear in: Ann. Probab.
Total flooding time
and rumor propagation on graphs.
(with Darcy Camargo).
J. Statist. Phys. 166, 1558-1571 (2017)
Constrained information transmission on
Erdös-Rényi graphs. (with Francis Comets, Christophe Gallesco, and Marina
Vachkovskaia). Markov Process. Relat.
Fields. 22
(1), 111-138 (2016).
Two-dimensional
random interlacements and late points for random walks. (with Francis Comets, and Marina
Vachkovskaia). Commun. Math. Phys. 343 (1), 129-164 (2016).
Soft
local times and decoupling of random interlacements. (with Augusto Teixeira). J.
European Math. Soc. 17 (10), 2545-2593 (2015).
Russo's
formula for random interlacements. (with Diego F. de Bernardini). J.
Stat. Phys. 160 (2), 321-335 (2015).
On
decoupling inequalities and percolation of excursion sets of the
Gaussian free field. (with
Balázs Ráth). J.
Stat. Phys. 159 (2),
312-320 (2015).
A
conditional quenched CLT for random walks among random conductances on Z^d. (with Christophe Gallesco, Nina Gantert, and Marina
Vachkovskaia). Markov Process. Relat. Fields 20 (2), 287-328 (2014).
On
range and local time of many-dimensional submartingales. (with Mikhail Menshikov). J. Theor.
Probab. 27 (2), 601-617 (2014).
Self-interacting
random walks. (with
Yuval Peres and Perla Sousi). Bull. Braz. Math. Soc. 44 (4), 841-867
(2013).
On large deviations for
the cover time of two-dimensional torus.
(with Francis Comets, Christophe Gallesco, and Marina Vachkovskaia).
Electron. J. Probab. 18, paper No.
96, 1-18 (2013).
Cookie branching
random walks. (with
Christian Bartsch, Michael Kochler, Thomas Kochler, Sebastian Müller).
ALEA 10, 323-358 (2013).
Random walks with
unbounded jumps among
random conductances II: Conditional quenched CLT. (with
Christophe Gallesco). ALEA 10, 253-270 (2013).
Localization for a random walk
in slowly decreasing random potentials. (with
Gunter Schütz and Christophe Gallesco). J. Statist. Phys. 150,
285-298 (2013).
On
a general many-dimensional excited random walk.
(with Mikhail Menshikov, Alejandro Ramírez, and Marina Vachkovskaia).
Ann. Probab. 40, 2106-2130 (2012).
Ballistic
regime for random walks in random environment with unbounded jumps and
Knudsen billiards. (with
Francis
Comets). Ann. Inst. Henri Poincaré. B, Probabilités
Statistiques 48, 721-744 (2012).
On the internal
distance in the interlacement set.
(with Jiří Černý). Electron. J. Probab. 17, paper No.
29, 1-25 (2012).
Random
walks on Galton Watson trees with random conductances. (with
Nina Gantert, Sebastian Müller, and Marina Vachkovskaia). Stochastic
Process. Appl. 122,
1652-1671 (2012).
A
note on spider walks. (with
Christophe
Gallesco and Sebastian Müller). ESAIM-PS 15, 390-401 (2011).
Scenery reconstruction with branching
random walk. (with Angelica Pachón). Stochastics 83, 107-116
(2011).
Spiders in random
environment. (with Christophe
Gallesco, Sebastian Müller, and
Marina Vachkovskaia). ALEA 8,
129-147
(2011).
Knudsen
gas in a finite
random tube: transport diffusion and first passage properties. (with Francis Comets, Gunter Schütz, and
Marina Vachkovskaia). J. Statist. Phys. 140 (5), 948-984
(2010).
Quenched
invariance principle for the Knudsen stochastic billiard in a random
tube.
(with Francis Comets, Gunter Schütz, and Marina Vachkovskaia). Ann.
Probab. 38,
1019-1061 (2010).
Survival
of branching random walks in random environment.(with Nina
Gantert, Sebastian Müller and Marina
Vachkovskaia). J. Theor. Probab. 23
(4), 1002-1014 (2010).
On
slowdown and speedup of transient random walks in random environment.
(with Alex Fribergh and Nina Gantert). Probab. Theory Relat. Fields 147,
43-88 (2010).
Survival
time of random walk in random environment among soft obstacles.
(with Nina Gantert and Marina Vachkovskaia). Electron. J. Probab. 14,
paper No. 22, 569-593 (2009).
Billiards in a general domain
with random reflections. (with
Francis Comets, Gunter Schütz, and Marina Vachkovskaia). Archive
Rational Mech. Analysis 191, 497-537 (2009).
Polling
systems with parameter regeneration, the general case. (with
Iain MacPhee, Mikhail Menshikov, and Dimitri Petritis). Ann.
Appl. Probab. 18, 2131-2155 (2008).
The number of open paths in an oriented
rho-percolation model.
(with Francis Comets and Marina Vachkovskaia). J. Statist.
Phys. 131, 357-379
(2008).
Shape and local
growth for multidimensional branching random walks in random environment
(with Francis Comets). ALEA 3,
paper No. 11, 273-299
(2007).
A Markov chain
model of a polling system with parameter regeneration. (with
Iain MacPhee, Mikhail Menshikov, and Dimitri Petritis). Ann.
Appl. Probab. 17
(5/6), 1447-1473 (2007).
Detecting
a local perturbation in a continuous scenery.
(with Heinrich Matzinger). Electron. J. Probab. 12, paper No.
22, 637-660 (2007).
Percolation
for the stable marriage of Poisson and Lebesgue. (with Marcelo
Ventura Freire and Marina Vachkovskaia). Stochastic Processes Appl. 117
(4), 514-525 (2007).
Macroscopic
non-uniqueness and transversal fluctuation in optimal random sequence
alignment. (with Saba Amsalu and Heinrich Matzinger). ESAIM: Probab.
Statist. 11, 281-300 (2007).
On
multidimensional branching random walks in random environment. (with
Francis Comets). Ann. Probab. 35
(1), 68-114 (2007).
Periodicity in
the transient regime of exhaustive polling systems. (with
Iain MacPhee, Mikhail Menshikov, and Stanislav Volkov). Ann.
Appl. Probab. 16
(4), 1816-1850 (2006).
Random
walk attracted by percolation clusters
(with Marina Vachkovskaia). Electron. Commun. Probab. 10, paper
No. 27, 263-272
(2005).
Random
Bulgarian solitaire. Random Struct. Algorithms 27
(3), 310-330 (2005).
A note on matrix
multiplicative cascades and bindweeds. (with Mikhail Menshikov and
Dimitri Petritis). Markov Process. Relat. Fields 11
(1), 37-54 (2005).
On improved
upper bound for the critical probability of the frog model on
homogeneous trees. (with Élcio Lebensztayn and
Fábio Machado). J. Statist. Phys. 119
(1/2), 331-345 (2005).
A note on
quenched moderate deviations for Sinai's random walk in random
environment. (with Francis Comets). ESAIM: Probab. Statist. 8,
56-65 (2004).
On a
many-dimensional random walk in a rarefied random environment. (with
Mikhail Menshikov, Valentin Sisko, and Marina Vachkovskaia). Markov
Process. Relat. Fields 10 (1), 137-160 (2004).
On
infection spreading and competition between independent random walks
(with Irina Kurkova and Marina Vachkovskaia). Electron. J. Probab. 9,
paper No. 11 (2004).
Limit law for
transition probabilities and moderate deviations for Sinai's random
walk in random environment. (with Francis Comets). Probab. Theory
Relat. Fields 126 (4), 571-609 (2003).
On a multiscale
continuous percolation model with unbounded defects. (with Mikhail
Menshikov and Marina Vachkovskaia). Bull. Braz. Math. Soc. 34
(3), 417-435 (2003).
Frogs
and some other interacting random walks models. Discrete Math.
Theor. Comput. Sci. AC, 277-288 (2003).
Bindweeds
or random walks in random environments on multiplexed trees and
their asymptotics.
(with Mikhail Menshikov and Dimitri Petritis). Discrete Math.
Theor. Comput. Sci. AC, 205-216 (2003).
Branching random
walk in random environment on trees. (with Fábio Machado).
Stochastic Process. Appl. 106 (1), 95-106 (2003).
On AB bond
percolation on the square lattice
and AB site percolation on its line graph.
(with Xian-Yuan Wu). J. Statist. Phys. 110 (1/2),
443-449 (2003).
A note on
percolation of Poisson sticks (with
Marina Vachkovskaia). Brazilian J. Probab. Statist. 16,
59-67 (2002).
Phase
transition for the frog model.
(with Oswaldo Alves and Fábio Machado). Electron. J. Probab. 7,
paper No. 16 (2002).
The shape theorem
for the frog model.
(with Oswaldo Alves and Fábio Machado). Ann. Appl. Probab. 12
(2), 533-546 (2002).
On the connection
between oriented percolation and
contact process. (with Mikhail Menshikov and Valentin Sisko). J. Theor.
Probab. 15 (1), 207-221 (2002).
The shape theorem
for the frog model with
random initial configuration.
(with Oswaldo Alves, Fábio Machado and
Krishnamurthi Ravishankar). Markov Processes Relat. Fields 7
(4), 525-539 (2001).
Frogs in random
environment. J. Statist. Phys. 102
(1/2), 191-201 (2001).
Multiscale
percolation on k-symmetric mosaic. (with
Mikhail Menshikov and Marina Vachkovskaia). Statist. Probab. Letters 52
(1), 79-84 (2001).
On the
connectivity properties of the complementary
set in fractal percolation models. (with Mikhail Menshikov and Marina
Vachkovskaia).
Probab. Theory Related Fields 119 (2), 176-186
(2001).
A mixture of the
Exclusion Process and the Voter Model.
(with Vladimir Belitsky, Mikhail Menshikov and Pablo Ferrari).
Bernoulli 7 (1), 119-144 (2001).
Recurrence and
transience of multitype branching random
walk. (with Fábio Machado and Mikhail Menshikov). Stochastic
Process.
Appl. 91 (1), 21-37 (2001).
One-dimensional
branching random walk in a Markovian
random environment. (with Fábio Machado). J. Appl. Probab. 37
(4), 1157-1163 (2000).
A note about
transience vs. recurrence for a branching
random walk in a random environment. (with Frank den Hollander and
Mikhail
Menshikov). J. Statist. Phys. 95 (3/4), 587-614
(1999).
Lyapunov
functions for random walks and strings in
random environment. (with Francis Comets and Mikhail Menshikov). Ann.
Probab. 26
(4), 1433-1445 (1998).
One-dimensional
branching random walk in random environment:
a classification. (with Francis Comets and Mikhail Menshikov). Markov
Processes
Relat. Fields 4 (4), 465-478 (1998).
Martingale
approach to countable Markov chains and
Markov processes in random environment (in Russian). Ph.D. thesis,
Moscow
State University, Faculty of Mathematics and Mechanics. (1997)
Models for
transportation networks. (with Guy Fayolle
and Larissa Afanassieva). J. Math. Sci. (New York) 84
(3), 1092-1103
(1997).
Stochastic model
of massively parallel computation.
(with A. Greenberg and Vadim Malyshev). Markov Processes Relat. Fields 1
(4), 473-490 (1995).
Exact power
estimates for countable Markov chains.
(with Mikhail Menshikov). Markov Processes Relat. Fields 1 (1),
57-78 (1995).
Super-reliable
loss networks. (with Elena Petrova).
Rapport de recherche INRIA
No. 2277 (1994).