Matthias Schulte

Applied Mathematics · 2011–2017

A researcher in the Science corpus: 8 papers; trusts 29 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 46 citations into it; #918 of 7,620 by trust here, #1,771 by citations
• Statistics and Probability — 43 citations into it; #2,566 of 12,932 by trust here, #5,481 by citations
• Mathematical Physics — 34 citations into it; #2,894 of 8,562 by trust here, #5,088 by citations
• Management Science and Operations Research — 15 citations into it
• Finance — 14 citations into it
• Geometry and Topology — 13 citations into it; #2,628 of 7,422 by trust here, #3,959 by citations
• Discrete Mathematics and Combinatorics — 10 citations into it
• Signal Processing — 8 citations into it

Whom Matthias Schulte trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Giovanni Peccati
2. Mathew D. Penrose
3. Günter Last
4. Matthias Reitzner
5. Raphaël Lachièze-Rey
6. Sourav Chatterjee
7. Murad S. Taqqu
8. J. Dall
9. J. L. Sol'e
10. Nicolas Privault

Who trusts Matthias Schulte overall

1. Günter Last
2. Peter Eichelsbacher
3. Raphaël Lachièze-Rey
4. Giovanni Peccati
5. C. Thaele
6. Mathew D. Penrose
7. Laurent Decreusefond
8. Joseph E. Yukich
9. Daniel Hug
10. Matthias Reitzner

Papers from Matthias Schulte's perspective

Ordered by how strongly the researchers Matthias Schulte trusts endorse each paper. Same corpus, a different order for every researcher.

1. Random geometric graphs. (Physical review. E, Statistical, nonlinear, and soft matter physics)
2. Stein’s method and Normal approximation of Poisson functionals
3. A NEW METHOD OF NORMAL APPROXIMATION
4. Poisson process Fock space representation, chaos expansion and covariance inequalities
5. A new modified logarithmic Sobolev inequality for Poisson point processes and several applications
6. Central limit theorems for $U$-statistics of Poisson point processes
7. The scaling limit of Poisson-driven order statistics with applications in geometric probability
8. Gaussian Limits for Random Measures in Geometric Probability
9. Gaussian Limts for Random Geometric Measures
10. Normal Approximations with Malliavin Calculus: From Stein's Method to Universality

Their papers

• Normal Approximation of Poisson Functionals in Kolmogorov Distance (2012) — 55 citations
• Central limit theorems for $U$-statistics of Poisson point processes (2011) — 140 citations
• Moments and Central Limit Theorems for Some Multivariate Poisson Functionals (2012) — 76 citations
• Normal approximation for stabilizing functionals (2017) — 60 citations
• Normal approximation on Poisson spaces: Mehler’s formula, second order Poincaré inequalities and stabilization (2014) — 135 citations
• Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to U-statistics and stochastic geometry (2014) — 53 citations
• Second-order properties and central limit theorems for geometric functionals of Boolean models (2013) — 53 citations
• The scaling limit of Poisson-driven order statistics with applications in geometric probability (2012) — 54 citations