26 citations · 33 across the 8 of their papers we have counts for
8 papers · 1 filter
The limit of the operator norm for random matrices with a variance profile
Dimitris Cheliotis, Michail Louvaris
In this work we study symmetric random matrices with variance profile satisfying certain conditions. We establish the convergence of the operator norm of these matrices to the larg…
On sequential maxima of exponential sample means, with an application to ruin probability
Dimitris Cheliotis, Nickos Papadatos
We obtain the distribution of the maximal average in a sequence of independent identically distributed exponential random variables. Surprisingly enough, it turns out that the inve…
Functional limit theorems for the Polya and q-Polya urns
Dimitris Cheliotis, Dimitra Kouloumpou
For the plain Polya urn with two colors, black and white, we prove a functional central limit theorem for the number of white balls assuming that the initial number of black balls…
The random pinning model with correlated disorder given by a renewal set
Dimitris Cheliotis, Yuki Chino, Julien Poisat
We investigate the effect of correlated disorder on the localization transition undergone by a renewal sequence with loop exponent > 0, when the correlated sequence is given by…
Triangular random matrices and biorthogonal ensembles
Dimitris Cheliotis
We study the singular values of certain triangular random matrices. When their elements are i.i.d. standard complex Gaussian random variables, the squares of the singular values fo…
Metastable states in Brownian energy landscape
Dimitris Cheliotis
Random walks and diffusions in symmetric random environment are known to exhibit metastable behavior: they tend to stay for long times in wells of the environment. For the case tha…
Variational characterization of the critical curve for pinning of random polymers
Dimitris Cheliotis, Frank den Hollander
In this paper we look at the pinning of a directed polymer by a one-dimensional linear interface carrying random charges. There are two phases, localized and delocalized, depending…
The spectrum of the random environment and localization of noise
Dimitrios Cheliotis, Balint Virag
We consider random walk on a mildly random environment on finite transitive d- regular graphs of increasing girth. After scaling and centering, the analytic spectrum of the transit…