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Former Research Group

Random Spatial Processes - Publications

Explore the scholarly works of the "Random Spatial Processes" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our research through preprints.

inJournal
2018 Repository Open Access
Artem Sapozhnikov and Daisuke Shiraishi

On Brownian motion, simple paths, and loops

In: Probability theory and related fields, 172 (2018) 3-4, pp. 615-662
BibTex DOI: 10.1007/s00440-017-0817-6 ArXiv: 1512.04864
inBook
2018
Lorenzo Taggi

Convergence time of probabilistic cellular automata on the torus

In: Probabilistic cellular automata : theory, applications and future perspectives. Papers based on the workshop held at EURANDOM, TU Eindhoven, June 2013 / Pierre-Yves Louis... (eds.)
Cham : Springer, 2018. - pp. 179-196
(Emergence, complexity, and computation ; 27)
BibTex DOI: 10.1007/978-3-319-65558-1_13
inJournal
2017 Repository Open Access
Deepan Basu and Artem Sapozhnikov

Crossing probabilities for critical Bernoulli percolation on slabs

In: Annales de l'Institut Henri Poincaré / B, 53 (2017) 4, pp. 1921-1933
BibTex DOI: 10.1214/16-AIHP776 ArXiv: 1512.05178
Academic
2017 Repository Open Access
Deepan Basu

Generalizations and interpretations of incipient infinite cluster measure on planar lattices and slabs

Dissertation, Universität Leipzig, 2017
BibTex Link: nbn-resolving.de
inJournal
2017 Journal Open Access
Deepan Basu and Artem Sapozhnikov

Kesten's incipient infinite cluster and quasi-multiplicativity of crossing probabilities

In: Electronic communications in probability, 22 (2017), p. 26
BibTex DOI: 10.1214/17-ECP56 ArXiv: 1603.06884
inJournal
2017 Journal Open Access
Yinshan Chang

Two observations on the capacity of the range of simple random walks on Z3 and Z4

In: Electronic communications in probability, 22 (2017), p. 25
BibTex DOI: 10.1214/17-ECP55 ArXiv: 1611.08654
inJournal
2017 Repository Open Access
Artem Sapozhnikov

Random walks on infinite percolation clusters in models with long-range correlations

In: The annals of probability, 45 (2017) 3, pp. 1842-1898
BibTex DOI: 10.1214/16-AOP1103 ArXiv: 1410.0605
inJournal
2016 Repository Open Access
Deepan Basu, Kinjal Basu, Bhaswar B. Bhattacharya and Sandip Das

Almost empty monochromatic triangles in planar point sets

In: Discrete applied mathematics, 210 (2016), pp. 207-213
BibTex DOI: 10.1016/j.dam.2015.05.033 ArXiv: 1410.0424
inBook
2016 Repository Open Access
Yinshan Chang and Yves Le Jan

Markov loops in discrete spaces

In: Probability and statistical physics in St. Petersburg / Vladas Sidoravicius... (eds.)
Providence : American Mathematical Society, 2016. - pp. 215-271
(Proceedings of symposia in pure mathematics ; 91)
BibTex DOI: 10.1090/pspum/091 ArXiv: 1402.1064
inJournal
2016 Repository Open Access
Yinshan Chang and Artem Sapozhnikov

Phase transition in loop percolation

In: Probability theory and related fields, 164 (2016) 3/4, pp. 979-1025
BibTex DOI: 10.1007/s00440-015-0624-x ArXiv: 1403.5687
inJournal
2016 Repository Open Access
Yinshan Chang

Supercritical loop percolation on Zd for d≥3

In: Stochastic processes and their applications, 127 (2016) 10, pp. 3159-3186
BibTex DOI: 10.1016/j.spa.2017.02.003 ArXiv: 1504.07906
inJournal
2016 Repository Open Access
Eviatar B. Procaccia, Ron Rosenthal and Artem Sapozhnikov

Quenched invariance principle for simple random walk on clusters in correlated percolation models

In: Probability theory and related fields, 166 (2016) 3, pp. 619-657
BibTex DOI: 10.1007/s00440-015-0668-y ArXiv: 1310.4764
inJournal
2016 Journal Open Access
Artem Sapozhnikov and Jirí CernÔy

Mixing time for the random walk on the range of the random walk on tori

In: Electronic journal of probability, 21 (2016), p. 26
BibTex DOI: 10.1214/16-ECP4750 ArXiv: 1512.02790
inJournal
2016 Journal Open Access
Lorenzo Taggi

Absorbing-state phase transition in biased activated random walk

In: Electronic journal of probability, 21 (2016), p. 13
BibTex DOI: 10.1214/16-EJP4275 ArXiv: 1403.1986 MiS Preprint
inJournal
2015 Journal Open Access
Yinshan Chang

A convergence result on the lengths of Markovian loops

In: Electronic communications in probability, 20 (2015), p. 73
BibTex DOI: 10.1214/ECP.v20-4263 ArXiv: 1210.2520
inJournal
2015 Journal Open Access
Yinshan Chang

Loop cluster on discrete circles

In: Electronic journal of probability, 20 (2015), p. 2
BibTex DOI: 10.1214/EJP.v20-3176 ArXiv: 1311.7583
Academic
2015 Repository Open Access
Lorenzo Taggi

Absorbing-state phase transition in activated random walk and probabilistic cellular automata

Dissertation, Universität Leipzig, 2015
BibTex Link: nbn-resolving.de
inJournal
2015 Repository Open Access
Lorenzo Taggi

Critical probabilities and convergence time of percolation probabilistic cellular automata

In: Journal of statistical physics, 159 (2015) 4, pp. 853-892
BibTex DOI: 10.1007/s10955-015-1199-8 ArXiv: 1312.6990 MiS Preprint
inBook
2014 Repository Open Access
Yinshan Chang

Multi-occupation field generates the Borel-sigma-field of loops

In: Seminaire de probabilites XLVI / Antoine Lejay... (eds.)
Cham : Springer, 2014. - pp. 401-410
(Lecture notes in mathematics ; 2123)
BibTex DOI: 10.1007/978-3-319-11970-0_17 ArXiv: 1309.1558
Book
2014
Alexander Drewitz, Balazs Rath and Artem Sapozhnikov

An introduction to random interlacements

Cham : Springer, 2014. - x, 120
(SpringerBriefs in mathematics)
ISBN: 978-3-319-05851-1, ISBN: 978-3-319-05852-8
BibTex DOI: 10.1007/978-3-319-05852-8
inJournal
2014 Repository Open Access
Alexander Drewitz, Balazs Rath and Artem Sapozhnikov

Local percolative properties of the vacant set of random interlacements with small intensity

In: Annales de l'Institut Henri Poincaré / B, 50 (2014) 4, pp. 1165-1197
BibTex DOI: 10.1214/13-AIHP540 ArXiv: 1206.6635
inJournal
2014 Repository Open Access
Alexander Drewitz, Balazs Rath and Artem Sapozhnikov

On chemical distances and shape theorems in percolation models with long-range correlations

In: Journal of mathematical physics, 55 (2014) 8, p. 083307
BibTex DOI: 10.1063/1.4886515 ArXiv: 1212.2885
inJournal
2014 Repository Open Access
Remco van der Hofstad and Artem Sapozhnikov

Cycle structure of percolation on high-dimensional tori

In: Annales de l'Institut Henri Poincaré / B, 50 (2014) 3, pp. 999-1027
BibTex DOI: 10.1214/13-AIHP565 ArXiv: 1109.1233
inJournal
2013 Journal Open Access
Balazs Rath and Artem Sapozhnikov

The effect of small quenched noise on connectivity properties of random interlacements

In: Electronic journal of probability, 18 (2013), p. 4
BibTex DOI: 10.1214/EJP.v18-2122 ArXiv: 1109.5086
inJournal
2013 Repository Open Access
Lorenzo Taggi, Francesca Colaiori, Vittorio Loreto and Francesca Tria

Dynamical correlations in the escape strategy of Influenza A virus

In: epl, 101 (2013) 6, p. 68003
BibTex DOI: 10.1209/0295-5075/101/68003 ArXiv: 1305.3418 MiS Preprint
Preprint
2013 Repository Open Access
Lorenzo Taggi, Francesca Colaiori, Vittorio Loreto and Francesca Tria

Size and structure of an epistatic space [Supplementary material for: 'Dynamical correlations in the escape strategy of Influenza A virus' (EPL 101(2013)68003)]

BibTex ArXiv: 1303.5953