What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Mathematical analysis
- Algebra
Robin Pemantle mostly deals with Combinatorics, Discrete mathematics, Random walk, Mathematical proof and Stochastic process.
His Combinatorics research is multidisciplinary, incorporating perspectives in Order and Meromorphic function.
In the field of Discrete mathematics, his study on Loop-erased random walk overlaps with subjects such as Dynamical system.
His Random walk research is multidisciplinary, relying on both Statistical physics, Branching process, Harmonic measure and Vertex.
His Mathematical proof research integrates issues from Branching random walk, Pure mathematics, Self-avoiding walk, Law of large numbers and Galton watson.
His Stochastic process research is multidisciplinary, incorporating elements of Critical point, Convergence and Vector-valued function.
His most cited work include:
- A Dynamic Model of Social Network Formation (468 citations)
- A survey of random processes with reinforcement (465 citations)
- Conceptual proofs of L log L criteria for mean behavior of branching processes (393 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Combinatorics, Discrete mathematics, Random walk, Pure mathematics and Mathematical analysis.
His research in Combinatorics intersects with topics in Measure and Random variable.
His Discrete mathematics research includes themes of Mathematical proof and Random field, Random element.
The study incorporates disciplines such as Stochastic process, Statistical physics, Markov chain and Random graph in addition to Random walk.
His Pure mathematics research is multidisciplinary, relying on both Analytic combinatorics, Bounded function and Ising model.
In his study, which falls under the umbrella issue of Percolation, Poisson distribution and First passage percolation is strongly linked to Exponential function.
He most often published in these fields:
- Combinatorics (56.74%)
- Discrete mathematics (31.16%)
- Random walk (18.14%)
What were the highlights of his more recent work (between 2013-2021)?
- Combinatorics (56.74%)
- Randomness (4.19%)
- Econometrics (4.19%)
In recent papers he was focusing on the following fields of study:
His primary scientific interests are in Combinatorics, Randomness, Econometrics, Discrete mathematics and Estimation.
His Combinatorics study combines topics in areas such as Random variable, Pure mathematics, Upper and lower bounds, Computation and Random walk.
Robin Pemantle has included themes like Random binary tree, Markov chain and Random graph in his Random variable study.
His biological study spans a wide range of topics, including Space, Positive-definite matrix and Generating function.
Robin Pemantle studies Random walk, namely Loop-erased random walk.
Robin Pemantle interconnects Longest increasing subsequence, Central limit theorem and First passage percolation in the investigation of issues within Discrete mathematics.
Between 2013 and 2021, his most popular works were:
- Concentration of Lipschitz functionals of determinantal and other strong Rayleigh measures (52 citations)
- Standards for Experimental Research: Encouraging a Better Understanding of Experimental Methods (38 citations)
- The Perils of Balance Testing in Experimental Design: Messy Analyses of Clean Data (36 citations)
In his most recent research, the most cited papers focused on:
- Combinatorics
- Mathematical analysis
- Algebra
Robin Pemantle spends much of his time researching Combinatorics, Econometrics, Random walk, Discrete mathematics and Information Framework.
The concepts of his Combinatorics study are interwoven with issues in Cluster algebra, Minimum bounding rectangle and Random variable.
His studies in Random variable integrate themes in fields like Multivariate normal distribution and Spanning tree.
His Econometrics research incorporates elements of Event and Noise.
The Random walk study combines topics in areas such as Trace, Longest increasing subsequence and Finite variance.
His study in Discrete mathematics is interdisciplinary in nature, drawing from both Function, Concentration inequality and Lipschitz continuity.
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