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Time fuctuations of the random average process with parabolic initial conditions
(2003)
The random average process is a randomly evolving d-dimensional surface whose heights
are updated by random convex combinations of neighboring heights. The !uctuations of this
process in case of linear initial conditions ...
Simulating space-time random fields with nonseparable Gneiting-type covariance functions
(Springer, 2020)
Two algorithms are proposed to simulate space-time Gaussian random fields with a covariance function belonging to an extended Gneiting class, the definition of which depends on a completely monotone function associated ...
Spiders in random environment
(ImpaRio De JaneiroBrasil, 2011)
Limit theorems for sequences of random trees
(SPRINGER, 2009)
We consider a random tree and introduce a metric in the space of trees to define the ""mean tree"" as the tree minimizing the average distance to the random tree. When the resulting metric space is compact we have laws of ...
Information Recovery from Observations by a Random Walk Having Jump Distribution with Exponential Tails
(Polymat, 2015)
A scenery is a coloring xi of the integers. Let {S-t}(t >= 0) be a recurrent random walk on the integers. Observing the scenery xi along the path of this random walk, one sees the color chi(t) := xi(S-t) at time t. The ...
Kolmogorov complexity of sequences of random numbers generated in Bell's experiments
(American Physical Society, 2018-10)
Quantum states are the ultimate criterion to produce sequences of random numbers. Spatially spread entangled states allow the generation of correlated random sequences in remote locations. The impossibility of observing a ...
Modeling and estimation of some non Gaussian random fieldsModeling and estimatión of some non gaussian random fields
(2018)
In this work, we propose two types of models for the analysis of regression and dependence of positive and continuous spatio-temporal data, and of continuous spatio-temporal data with possible asymmetry and/or heavy tails. ...
Scaling Limits and Generic Bounds for Exploration Processes
(Springer, 2017-12)
We consider exploration algorithms of the random sequential adsorption type both for homogeneous random graphs and random geometric graphs based on spatial Poisson processes. At each step, a vertex of the graph becomes ...
Feasible analysis, randomness, and base invariance
(Springer, 2015-04)
We show that polynomial time randomness of a real number does not depend on the choice of a base for representing it. Our main tool is an ‘almost Lipschitz’ condition that we show for the cumulative distribution function ...