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Probability Theory and Related Fields, ISSN 0178-8051, 8/2018, Volume 171, Issue 3, pp. 917 - 979
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 11/2019, Volume 129, Issue 11, pp. 4704 - 4746
We investigate a variant of the parabolic Anderson model, introduced in previous work, in which an i.i.d. potential is partially duplicated in a symmetric way... 
Localisation | Parabolic Anderson model | INTERMITTENCY | STATISTICS & PROBABILITY
Journal Article
Annals of Applied Probability, ISSN 1050-5164, 02/2019, Volume 29, Issue 1, pp. 264 - 325
The Bouchaud-Anderson model (BAM) is a generalisation of the parabolic Anderson model (PAM) in which the driving simple random walk is replaced by a random... 
Localisation | Bouchaud trap model | Parabolic Anderson model | Intermittency | WEAK | LOCALIZATION | localisation | STATISTICS & PROBABILITY | PARABOLIC PROBLEMS | intermittency | BRANCHING RANDOM-WALK
Journal Article
ELECTRONIC JOURNAL OF PROBABILITY, ISSN 1083-6489, 2019, Volume 24
We introduce a natural extension of the exclusion process to hypergraphs and prove an upper bound for its mixing time. In particular we show the existence of a... 
random walk | coupling | hypergraph | CUTOFF | RANDOM-WALKS | exclusion | STATISTICS & PROBABILITY | PERMUTATION | interchange | mixing time
Journal Article
The Annals of Applied Probability, ISSN 1050-5164, 8/2012, Volume 22, Issue 4, pp. 1328 - 1361
Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 01/2017, Volume 412, pp. 8 - 16
Data obtained from ISSR amplification may readily be extracted but only allows us to know, for each gene, if a specific allele is present or not. From this... 
Gene frequency | Pedigree | Law of reproduction | ISSR amplification | NATURAL-POPULATIONS | PERSPECTIVE | URN MODELS | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Cytisus - genetics | Models, Genetic | Alleles | Life Sciences
Journal Article
Alea, ISSN 1980-0436, 2014, Volume 11, Issue 1, pp. 185 - 195
Let sigma be a permutation of {0,...,n}. We consider the Markov chain X which jumps from k not equal 0, n to sigma(k + 1) or sigma (k + 1), equally likely.... 
Markov chain | Directed graph | Hitting time | STATISTICS & PROBABILITY | hitting time | directed graph | INEQUALITY
Journal Article
08/2018
Oliveira conjectured that the order of the mixing time of the exclusion process with $k$-particles on an arbitrary $n$-vertex graph is at most that of the... 
Mathematics - Probability
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 11/2016, Volume 126, Issue 11, pp. 3402 - 3462
It is well-known that both random branching and trapping mechanisms can induce localisation phenomena in random walks; the prototypical examples being the... 
Localisation | Bouchaud trap model | Parabolic Anderson model | Intermittency | MUTATION | STATISTICS & PROBABILITY | PARABOLIC PROBLEMS | SELECTION | Analysis | Population biology
Journal Article
02/2013
We show that for any semi-random transposition shuffle on $n$ cards, the mixing time of any given $k$ cards is at most $n\log k$, provided $k=o((n/\log... 
Mathematics - Probability
Journal Article
06/2016
We introduce a natural extension of the exclusion process to hypergraphs and prove an upper bound for its mixing time. In particular we show the existence of a... 
Mathematics - Probability
Journal Article
11/2014
Stoch. Proc. Appl 126 (2016), 3402--3462 It is well-known that both branching random walk models and trap models can exhibit intermittency and localisation... 
Mathematics - Probability
Journal Article
12/2016
We investigate a variant of the parabolic Anderson model, introduced in previous work, in which an i.i.d.\! potential is partially duplicated in a symmetric... 
Mathematics - Probability
Journal Article
09/2016
The parabolic Anderson model on $\mathbb{Z}^d$ with i.i.d. potential is known to completely localise if the distribution of the potential is sufficiently... 
Mathematics - Probability
Journal Article
04/2013
Let $\sigma$ be a permutation of $\{0,\ldots,n\}$. We consider the Markov chain $X$ which jumps from $k\neq 0,n$ to $\sigma(k+1)$ or $\sigma(k-1)$, equally... 
Mathematics - Probability
Journal Article
09/2017
The Bouchaud-Anderson model (BAM) is a generalisation of the parabolic Anderson model (PAM) in which the driving simple random walk is replaced by a random... 
Mathematics - Probability
Journal Article
08/2015
Data obtained from ISSR amplification may readily be extracted but only allows us to know, for each gene, if a specific allele is present or not. From this... 
Journal Article
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