Limit theory for random sequential packing and deposition
By Mathew D. Penrose, Joseph E. Yukich. 2002
125 citations recorded by the source corpus.
Subfields: Applied Mathematics, Materials Chemistry, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8dcfdd2ce380552086c2fb54867d58dab2fe8ee9
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Matthias Schulte
- Mathew D. Penrose
- Günter Last
- Giovanni Peccati
- Joseph E. Yukich
- François Baccelli
- Charles Bordenave
- yuliy baryshnikov
In Materials Chemistry
- Charles Bordenave
- François Baccelli
- Mathew D. Penrose
- Matthias Schulte
- Giovanni Peccati
- Günter Last
- yuliy baryshnikov
- Joseph E. Yukich
In Mathematical Physics
- Matthias Schulte
- Mathew D. Penrose
- Günter Last
- Giovanni Peccati
- Joseph E. Yukich
- Charles Bordenave
- François Baccelli
- yuliy baryshnikov
Citations in the corpus
- Gaussian Limits for Random Measures in Geometric Probability (2005, background): “1 of [25], which establishes a CLT forfunctionals of markedhomogeneous samples.”
- Gaussian Limts for Random Geometric Measures (2007, background): “Motivation (when d = 2) comes from, for example, the modelling of chemical surface coating processes (see (7), and the references in (3; 22)).”
- Laws of large numbers in stochastic geometry with statistical applications (2007, background): “9), we loosely follow the argument from [17], pages 298–299.”
- Normal approximation on Poisson spaces: Mehler’s formula, second order Poincaré inequalities and stabilization (2014, methodology): “Add-one cost stabilization (see [42, 43] and the discussion after Proposition 1.”
- The Radial Spanning Tree of a Poisson Point Process (2007, methodology): “This class was first introduced by [18] and it was used by Penrose and Yukich [23, 24]; it is slightly modified here to suit to our framework.”
- Normal Approximation in Geometric Probability (2004, background): “ξ is exponentially stabilizing [12, 3] and for any continuous f ∈ B([0, 1]) and κ uniform, the variance of 〈f, μξλ〉 is bounded below by a positive multiple of λ [4], showing that 〈f, μξλ〉 satisfies a CLT with an O((log λ)λ) rate of convergence.”