What is he best known for?
The fields of study he is best known for:
- Algebra
- Combinatorics
- Mathematical analysis
Alistair Sinclair spends much of his time researching Combinatorics, Markov chain, Discrete mathematics, Time complexity and Computing the permanent.
His Combinatorics study incorporates themes from Proper equilibrium, Upper and lower bounds and Lattice.
His Markov chain research is multidisciplinary, incorporating elements of Algorithm, Multi-commodity flow problem, Mathematical optimization and Mixing.
His research brings together the fields of Degree and Discrete mathematics.
Alistair Sinclair has researched Time complexity in several fields, including Integer lattice, Rate of convergence and Counting problem.
As a part of the same scientific study, Alistair Sinclair usually deals with the Computing the permanent, concentrating on Minimax approximation algorithm and frequently concerns with Polynomial-time approximation scheme, Polynomial time approximation algorithm and Scheme.
His most cited work include:
- Approximating the permanent (685 citations)
- A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries (671 citations)
- Approximate counting, uniform generation and rapidly mixing Markov chains (649 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Discrete mathematics, Combinatorics, Ising model, Markov chain and Time complexity.
His Discrete mathematics research includes themes of Polynomial, Approximation algorithm and Partition function.
His study in Combinatorics is interdisciplinary in nature, drawing from both Probability distribution, Upper and lower bounds and Matrix.
His research in Ising model tackles topics such as Bounded function which are related to areas like Degree and Gibbs measure.
His research investigates the connection between Markov chain and topics such as Mixing that intersect with issues in Mean field theory.
His Time complexity research integrates issues from Rate of convergence, Graph and Counting problem.
He most often published in these fields:
- Discrete mathematics (48.67%)
- Combinatorics (48.67%)
- Ising model (24.67%)
What were the highlights of his more recent work (between 2013-2021)?
- Ising model (24.67%)
- Combinatorics (48.67%)
- Discrete mathematics (48.67%)
In recent papers he was focusing on the following fields of study:
His primary scientific interests are in Ising model, Combinatorics, Discrete mathematics, Markov chain and Phase transition.
His Ising model study incorporates themes from Integer lattice, Partition function, Pure mathematics and Random graph.
The Combinatorics study combines topics in areas such as Matrix and Preconditioner.
Alistair Sinclair has included themes like Local search and Degree in his Discrete mathematics study.
His biological study spans a wide range of topics, including Potts model and Statistical physics.
Alistair Sinclair combines subjects such as Upper and lower bounds and Lattice with his study of Phase transition.
Between 2013 and 2021, his most popular works were:
- Approximation Algorithms for Two-State Anti-Ferromagnetic Spin Systems on Bounded Degree Graphs (60 citations)
- The Ising Partition Function: Zeros and Deterministic Approximation (24 citations)
- Spatial mixing and the connective constant: optimal bounds (21 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Combinatorics
- Mathematical analysis
Ising model, Combinatorics, Partition function, Lambda and Bounded function are his primary areas of study.
He interconnects Discrete mathematics and Phase transition in the investigation of issues within Ising model.
In the subject of general Combinatorics, his work in Randomized algorithm is often linked to Glauber, thereby combining diverse domains of study.
His Partition function study integrates concerns from other disciplines, such as Approximation algorithm, Pure mathematics and Extension.
As a member of one scientific family, Alistair Sinclair mostly works in the field of Mixing, focusing on Mathematical physics and, on occasion, Markov chain and Random graph.
The Markov chain study which covers Polynomial that intersects with Graph coloring and Time complexity.
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