What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Discrete mathematics
- Quantum mechanics
Tomasz Łuczak mainly investigates Combinatorics, Discrete mathematics, Random graph, Graph and Random regular graph.
His biological study spans a wide range of topics, including Phase transition and Bounded function.
Tomasz Łuczak interconnects Series and Component in the investigation of issues within Discrete mathematics.
His Random graph research is multidisciplinary, incorporating elements of Cograph, Split graph and Existential quantification.
His Graph study combines topics in areas such as Chromatic scale, Log-log plot and Phase diagram.
His Random regular graph study incorporates themes from Indifference graph, Cubic graph and Multigraph.
His most cited work include:
- Random Graphs: Janson/Random (1007 citations)
- Wiley‐Interscience Series in Discrete Mathematics and Optimization (734 citations)
- The birth of the giant component (352 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Combinatorics, Discrete mathematics, Random graph, Graph and Random regular graph.
His study in Ramsey's theorem, Chordal graph, Conjecture, Hypergraph and Indifference graph is done as part of Combinatorics.
His research on Discrete mathematics often connects related topics like Degree.
His study in the fields of Giant component under the domain of Random graph overlaps with other disciplines such as First order.
The various areas that he examines in his Graph study include Almost surely, Phase transition and Hitting time.
His research investigates the connection with Graph power and areas like Cubic graph which intersect with concerns in Complement graph.
He most often published in these fields:
- Combinatorics (85.55%)
- Discrete mathematics (61.85%)
- Random graph (23.12%)
What were the highlights of his more recent work (between 2012-2020)?
- Combinatorics (85.55%)
- Discrete mathematics (61.85%)
- Graph (22.54%)
In recent papers he was focusing on the following fields of study:
Tomasz Łuczak focuses on Combinatorics, Discrete mathematics, Graph, Ramsey's theorem and Random graph.
The concepts of his Combinatorics study are interwoven with issues in Group and Random group.
His Discrete mathematics and Random regular graph, Simplicial homology, Pathwidth, Path graph and Indifference graph investigations all form part of his Discrete mathematics research activities.
He usually deals with Graph and limits it to topics linked to Kronecker delta and Bounded function.
His Ramsey's theorem research focuses on Path and how it connects with Absolute constant and Existential quantification.
His research in Random graph tackles topics such as Monotone polygon which are related to areas like Longest cycle.
Between 2012 and 2020, his most popular works were:
- Limit measures of inhomogeneous discrete-time quantum walks in one dimension (57 citations)
- Collapsibility and Vanishing of Top Homology in Random Simplicial Complexes (55 citations)
- On Erdős' extremal problem on matchings in hypergraphs (38 citations)
In his most recent research, the most cited papers focused on:
- Combinatorics
- Quantum mechanics
- Discrete mathematics
The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Ramsey's theorem, Homology and Complete graph.
His Random graph, Vertex and Extremal graph theory study in the realm of Combinatorics interacts with subjects such as Adjacency relation.
The study incorporates disciplines such as Spectral gap and Random group in addition to Random graph.
His Discrete mathematics study frequently draws connections between related disciplines such as Group.
His studies deal with areas such as Hypergraph, Multipartite, Path, Path and Constant as well as Ramsey's theorem.
His study in Complete graph is interdisciplinary in nature, drawing from both Monotone polygon, Graph property, Probabilistic logic, Absolute constant and Connected component.
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