What is he best known for?
The fields of study he is best known for:
- Algebra
- Combinatorics
- Discrete mathematics
Jeffrey Shallit focuses on Combinatorics, Discrete mathematics, Finite-state machine, Regular language and Binary number.
His studies deal with areas such as Deterministic finite automaton, Quantum finite automata, Function and Thue–Morse sequence, Sequence as well as Combinatorics.
Jeffrey Shallit mostly deals with Integer in his studies of Discrete mathematics.
The concepts of his Regular language study are interwoven with issues in Unary operation and Kleene star.
His Binary number research integrates issues from Fraction, Quotient, Decimal and Fractional power.
His Morphism research includes elements of Model of computation and Formal power series.
His most cited work include:
- Algorithmic number theory (1036 citations)
- Automatic Sequences: Theory, Applications, Generalizations (834 citations)
- The Ubiquitous Prouhet-Thue-Morse Sequence (313 citations)
What are the main themes of his work throughout his whole career to date?
Jeffrey Shallit mainly investigates Combinatorics, Discrete mathematics, Sequence, Word and Regular language.
His work carried out in the field of Combinatorics brings together such families of science as Function, Upper and lower bounds and Binary number.
His research in Discrete mathematics is mostly focused on Decidability.
His study in Automatic sequence and Thue–Morse sequence is carried out as part of his studies in Sequence.
His biological study spans a wide range of topics, including Morphism and Exponent.
His research on Regular language frequently links to adjacent areas such as Algebra.
He most often published in these fields:
- Combinatorics (60.04%)
- Discrete mathematics (44.92%)
- Sequence (13.61%)
What were the highlights of his more recent work (between 2017-2021)?
- Combinatorics (60.04%)
- Discrete mathematics (44.92%)
- Word (12.74%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Combinatorics, Discrete mathematics, Word, Sequence and Binary number.
His research ties Upper and lower bounds and Combinatorics together.
His work on Decidability as part of general Discrete mathematics research is frequently linked to Critical exponent, thereby connecting diverse disciplines of science.
His Word research is multidisciplinary, incorporating elements of Queen, Morphism, Nondeterministic finite automaton, Order and Exponent.
His study on Sequence also encompasses disciplines like
- Complexity function which connect with Thue–Morse sequence,
- Attractor most often made with reference to Constant.
His Binary number research includes themes of Natural number, Existential quantification and Real number.
Between 2017 and 2021, his most popular works were:
- When is an automatic set an additive basis (12 citations)
- Critical exponents of infinite balanced words (8 citations)
- Additive Number Theory via Automata Theory (7 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Combinatorics
- Real number
Jeffrey Shallit mostly deals with Combinatorics, Discrete mathematics, Binary number, Word and Word.
In the field of Combinatorics, his study on Number theory, Permutation and Morphism overlaps with subjects such as Palindrome.
His Discrete mathematics study integrates concerns from other disciplines, such as Automated theorem proving, Computation and Combinatorics on words.
His Binary number research incorporates themes from Time complexity, Natural number and Existential quantification.
The study incorporates disciplines such as Generalization, State complexity and De Bruijn sequence in addition to Word.
His Word research incorporates elements of Queen, Exponent, Position and Real number.
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