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From the 1 of 1.1k papers with an AI index.

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20022015
most citedQuantum ESPRESSO: a modular and open-source software project for quantum simulations of materials

29.3k citations

Showing 2012 · math.PRShow all

12 papers · 2 filters

math.PR2012

On Ornstein-Uhlenbeck driven by Ornstein-Uhlenbeck processes

Bernard Bercu, Frederic Proia, Nicolas Savy

We investigate the asymptotic behavior of the maximum likelihood estimators of the unknown parameters of positive recurrent Ornstein-Uhlenbeck processes driven by Ornstein-Uhlenbec…

math.PR20123 cited

Birth and death processes on certain random trees: Classification and stationary laws

Guy Fayolle, Maxim Krikun, Jean-Marc Lasgouttes

The main substance of the paper concerns the growth rate and the classification (ergodicity, transience) of a family of random trees. In the basic model, new edges appear according…

math.PR20121 cited

Best-effort networks: modeling and performance analysis via large networks asymptotics

Guy Fayolle, Arnaud De La Fortelle, Jean-Marc Lasgouttes +2

In this paper we introduce a class of Markov models, termed best-effort networks, designed to capture performance indices such as mean transfer times in data networks with best-eff…

math.PR20127 cited

Stationary IPA Estimates for Non-Smooth G/G/1/ Functionals via Palm Inversion and Level-Crossing Analysis

Pierre Bremaud, Jean-Marc Lasgouttes

We give stationary estimates for the derivative of the expectation of a non-smooth function of bounded variation f of the workload in a G/G/1/ queue, with respect to a para…

math.PR20129 cited

Asymptotics and scalings for large product-form networks via the Central Limit Theorem

Guy Fayolle, Jean-Marc Lasgouttes

The asymptotic behaviour of a closed BCMP network, with queues and clients, is analyzed when and become simultaneously large. Our method relies on Berry-Esseen…

math.PR2012

A State-Dependent Polling Model with Markovian Routing

Guy Fayolle, Jean-Marc Lasgouttes

A state-dependent 1-limited polling model with N queues is analyzed. The routing strategy generalizes the classical Markovian polling model, in the sense that two routing matrices…