D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 38 Citations 5,219 139 World Ranking 1595 National Ranking 38

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Algebra
  • Mathematical analysis

His main research concerns Boundary value problem, Conformal field theory, Pure mathematics, Lattice and Central charge. His Boundary value problem research integrates issues from Integrable system, Mathematical physics, Stationary state and Statistical mechanics. His Conformal field theory research includes elements of Minimal models and Indecomposable module.

Paul A. Pearce has included themes like Eigenvalues and eigenvectors and Combinatorics in his Minimal models study. His work deals with themes such as Primary field and Operator product expansion, which intersect with Pure mathematics. Paul A. Pearce has researched Lattice in several fields, including Conformal map and Mathematical analysis.

His most cited work include:

  • Conformal weights of RSOS lattice models and their fusion hierarchies (290 citations)
  • Boundary conditions in rational conformal field theories (253 citations)
  • Central charges of the 6- and 19-vertex models with twisted boundary conditions (252 citations)

What are the main themes of his work throughout his whole career to date?

Paul A. Pearce mainly focuses on Mathematical physics, Minimal models, Lattice, Boundary value problem and Scaling limit. Paul A. Pearce combines subjects such as Conformal map, Central charge and Ising model with his study of Mathematical physics. His work in Conformal map addresses issues such as Eigenvalues and eigenvectors, which are connected to fields such as Transfer matrix and Scaling.

He has included themes like Coprime integers, Indecomposable module, Combinatorics and Conformal field theory in his Minimal models study. His work deals with themes such as Spectral line and Coset, which intersect with Lattice. To a larger extent, Paul A. Pearce studies Quantum mechanics with the aim of understanding Boundary value problem.

He most often published in these fields:

  • Mathematical physics (41.80%)
  • Minimal models (31.22%)
  • Lattice (28.57%)

What were the highlights of his more recent work (between 2010-2020)?

  • Minimal models (31.22%)
  • Scaling limit (28.04%)
  • Combinatorics (19.05%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Minimal models, Scaling limit, Combinatorics, Conformal field theory and Mathematical physics. Minimal models is a subfield of Pure mathematics that Paul A. Pearce tackles. His Scaling limit research is multidisciplinary, relying on both Quantum mechanics, Thermodynamic limit, Periodic boundary conditions, Critical exponent and Square lattice.

His work carried out in the field of Combinatorics brings together such families of science as Twist, Representation theory, Lattice and Ground state. His Conformal field theory research is classified as research in Mathematical analysis. His research in Mathematical physics intersects with topics in Root of unity and Central charge.

Between 2010 and 2020, his most popular works were:

  • Logarithmic superconformal minimal models (30 citations)
  • Coset graphs in bulk and boundary logarithmic minimal models (26 citations)
  • Modular invariant partition function of critical dense polymers (25 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Algebra
  • Mathematical analysis

Paul A. Pearce mainly investigates Minimal models, Scaling limit, Conformal field theory, Mathematical physics and Central charge. His Minimal models study combines topics in areas such as Combinatorics and Coprime integers. His Scaling limit study combines topics from a wide range of disciplines, such as Eigenvalues and eigenvectors, Quantum mechanics and Potts model.

His Mathematical physics research incorporates elements of Square lattice and Dynkin diagram. His Pure mathematics research is multidisciplinary, incorporating elements of Coset, Conformal map and Boundary value problem. The various areas that he examines in his Conformal map study include Logarithm, Lattice and Euler's formula.

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.

Best Publications

Boundary conditions in rational conformal field theories

Roger E. Behrend;Paul A. Pearce;Valentina B. Petkova;Jean-Bernard Zuber.
Nuclear Physics (2000)

344 Citations

Conformal weights of RSOS lattice models and their fusion hierarchies

A. Klumper;P.A. Pearce.
Physica D: Nonlinear Phenomena (1992)

303 Citations

Central charges of the 6- and 19-vertex models with twisted boundary conditions

A Klumper;M T Batchelor;P A Pearce.
Journal of Physics A (1991)

262 Citations

Logarithmic minimal models

Paul A Pearce;Jørgen Rasmussen;Jean-Bernard Zuber.
Journal of Statistical Mechanics: Theory and Experiment (2006)

236 Citations

Hard hexagons: interfacial tension and correlation length

R J Baxter;P A Pearce.
Journal of Physics A (1982)

162 Citations

Analytic Calculation of Scaling Dimensions: Tricritical Hard Squares and Critical Hard Hexagons

Andreas Klümper;Paul A. Pearce.
Journal of Statistical Physics (1991)

162 Citations

Interaction-round-a-face models with fixed boundary conditions: The ABF fusion hierarchy

Roger E. Behrend;Paul A. Pearce;David L. O'Brien.
Journal of Statistical Physics (1996)

141 Citations

Mathematical properties of position-space renormalization-group transformations

Robert B. Griffiths;Paul A. Pearce.
Journal of Statistical Physics (1979)

124 Citations

Yang-Baxter equations, conformal invariance and integrability in statistical mechanics and field theory : proceedings of a conference : Centre for Mathematical Analysis, Australian National University, Canberra, Australia, July 10-14, 1989

Michael N. Barber;Paul A. Pearce.
(1990)

123 Citations

Solvable critical dense polymers

Paul A Pearce;Jørgen Rasmussen.
Journal of Statistical Mechanics: Theory and Experiment (2007)

111 Citations

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