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- Walter Philipp

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
4,685
92
World Ranking
2397
National Ranking
1016

- Quantum mechanics
- Random variable
- Probability theory

His main research concerns Discrete mathematics, Brownian motion, Convergence of random variables, Random variable and Invariance principle. His research on Discrete mathematics frequently links to adjacent areas such as Random element. In his research, Type is intimately related to Multivariate random variable, which falls under the overarching field of Random element.

Within one scientific family, Walter Philipp focuses on topics pertaining to Law of the iterated logarithm under Brownian motion, and may sometimes address concerns connected to Gibbs measure and Mathematical physics. His Convergence of random variables research incorporates elements of Dependent random variables, Central limit theorem and Pure mathematics. The study incorporates disciplines such as Stochastic process, Algebra of random variables and Topology in addition to Pure mathematics.

- Almost sure invariance principles for partial sums of weakly dependent random variables (355 citations)
- Approximation Thorems for Independent and Weakly Dependent Random Vectors (282 citations)
- A note on the almost sure central limit theorem (207 citations)

His primary areas of investigation include Discrete mathematics, Random variable, Pure mathematics, Combinatorics and Invariance principle. His Discrete mathematics research is multidisciplinary, incorporating elements of Hilbert space, Convergence of random variables, Random element and Brownian motion. As part of one scientific family, he deals mainly with the area of Convergence of random variables, narrowing it down to issues related to the Central limit theorem, and often Type.

His Random variable research includes elements of Stochastic process, Banach space and Mixing. His studies in Pure mathematics integrate themes in fields like Mathematical analysis and Stable law. Walter Philipp has researched Combinatorics in several fields, including Sequence and Pseudorandom number generator.

- Discrete mathematics (29.90%)
- Random variable (24.74%)
- Pure mathematics (25.77%)

- Calculus (12.37%)
- Probability theory (7.22%)
- Discrete mathematics (29.90%)

Walter Philipp spends much of his time researching Calculus, Probability theory, Discrete mathematics, Random variable and Theoretical physics. His Calculus research incorporates themes from Local hidden variable theory, No-go theorem, Superdeterminism, Bell test experiments and Kochen–Specker theorem. His Probability theory study incorporates themes from Mathematical proof, Type and Inequality.

He studied Discrete mathematics and Combinatorics that intersect with Omega. His Random variable research integrates issues from Einstein, Quantum algorithm and Special case. His Theoretical physics research is multidisciplinary, relying on both Ideal, Charge, Quantum optics and Artificial intelligence.

- Bell’s theorem: Critique of proofs with and without inequalities (81 citations)
- The Bell Theorem as a Special Case of a Theorem of Bass (39 citations)
- Breakdown of Bell's theorem for certain objective local parameter spaces. (35 citations)

- Quantum mechanics
- Probability theory
- Random variable

His scientific interests lie mostly in Mathematical proof, Probability theory, Calculus, Hidden variable theory and Axiom. His Calculus study combines topics from a wide range of disciplines, such as CHSH inequality, Mathematical economics, Counterfactual definiteness, Superdeterminism and Kochen–Specker theorem. Hidden variable theory and Joint probability distribution are frequently intertwined in his study.

His research in Axiom intersects with topics in Parameter space, Local parameter, Algebraic number and Pure mathematics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Almost sure invariance principles for partial sums of weakly dependent random variables

Walter Philipp;William F. Stout.

Memoirs of the American Mathematical Society **(1975)**

568 Citations

Almost sure invariance principles for partial sums of weakly dependent random variables

Walter Philipp;William F. Stout.

Memoirs of the American Mathematical Society **(1975)**

568 Citations

Approximation Thorems for Independent and Weakly Dependent Random Vectors

Istvan Berkes;Walter Philipp.

Annals of Probability **(1979)**

433 Citations

Approximation Thorems for Independent and Weakly Dependent Random Vectors

Istvan Berkes;Walter Philipp.

Annals of Probability **(1979)**

433 Citations

A note on the almost sure central limit theorem

Michael T. Lacey;Walter Philipp.

Statistics & Probability Letters **(1990)**

295 Citations

A note on the almost sure central limit theorem

Michael T. Lacey;Walter Philipp.

Statistics & Probability Letters **(1990)**

295 Citations

Empirical Process Techniques for Dependent Data

Herold Dehling;Walter Philipp.

**(2002)**

257 Citations

Empirical Process Techniques for Dependent Data

Herold Dehling;Walter Philipp.

**(2002)**

257 Citations

Almost Sure Invariance Principles for Partial Sums of Mixing $B$-Valued Random Variables

J. Kuelbs;Walter Philipp.

Annals of Probability **(1980)**

222 Citations

Almost Sure Invariance Principles for Partial Sums of Mixing $B$-Valued Random Variables

J. Kuelbs;Walter Philipp.

Annals of Probability **(1980)**

222 Citations

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