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- Christian Borgs

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
52
Citations
9,703
168
World Ranking
692
National Ranking
350

Computer Science
D-index
55
Citations
9,818
162
World Ranking
2910
National Ranking
1528

2014 - Fellow of the American Mathematical Society For contributions bringing together analysis, probability theory, graph theory and combinatorics with mathematical statistical physics and rigorous computer science.

2013 - Fellow of the American Association for the Advancement of Science (AAAS)

- Quantum mechanics
- Statistics
- Mathematical analysis

Christian Borgs mostly deals with Combinatorics, Discrete mathematics, Phase transition, Scaling and Statistical physics. His Random graph, Vertex, Preferential attachment, Graph and Voltage graph study are his primary interests in Combinatorics. His study in Continuum percolation theory extends to Discrete mathematics with its themes.

Christian Borgs has researched Phase transition in several fields, including Internal energy, Torus and Periodic boundary conditions. The study incorporates disciplines such as Dimension, Percolation, Percolation theory and Position in addition to Scaling. His Statistical physics study combines topics in areas such as Algorithm, Modular decomposition, Field theory and Lévy family of graphs.

- Convergent sequences of dense graphs I: Subgraph frequencies, metric properties and testing (486 citations)
- Maximizing social influence in nearly optimal time (370 citations)
- Directed scale-free graphs (302 citations)

Christian Borgs mainly investigates Combinatorics, Discrete mathematics, Phase transition, Random graph and Scaling. His studies deal with areas such as Bounded function and Lattice as well as Combinatorics. His work in Discrete mathematics addresses issues such as Computation, which are connected to fields such as Logarithm.

His Phase transition research incorporates themes from Periodic boundary conditions, Ising model and Mathematical physics. His Random graph research is multidisciplinary, incorporating perspectives in Preferential attachment and Network model. His biological study spans a wide range of topics, including Upper and lower bounds and Statistical physics.

- Combinatorics (30.80%)
- Discrete mathematics (22.36%)
- Phase transition (11.81%)

- Discrete mathematics (22.36%)
- Statistical model (3.38%)
- Random graph (10.13%)

His primary areas of study are Discrete mathematics, Statistical model, Random graph, Combinatorics and Theoretical computer science. His study in Discrete mathematics focuses on Dense graph in particular. He has researched Statistical model in several fields, including Vertex, Graph, Graph and Nonparametric statistics.

His Random graph study also includes fields such as

- Rate function which is related to area like Convergence of random variables, Weak convergence, Compact convergence, Normal convergence and Operator norm,
- Large deviations theory together with Homomorphism, Phase transition and Symmetry breaking,
- Network model that connect with fields like Stochastic process and Differential privacy. His Combinatorics research is multidisciplinary, relying on both Social choice theory, Independence of irrelevant alternatives, Point process, Axiomatic system and Aggregation problem. As a part of the same scientific study, he usually deals with the Theoretical computer science, concentrating on Finite set and frequently concerns with Gradient descent.

- Entropy-SGD: Biasing Gradient Descent Into Wide Valleys. (168 citations)
- Entropy-SGD: Biasing Gradient Descent Into Wide Valleys (115 citations)
- Unreasonable Effectiveness of Learning Neural Networks: From Accessible States and Robust Ensembles to Basic Algorithmic Schemes (95 citations)

- Quantum mechanics
- Statistics
- Mathematical analysis

The scientist’s investigation covers issues in Discrete mathematics, Combinatorics, Gradient descent, Statistical model and Vertex. The Discrete mathematics study combines topics in areas such as Identifiability and Degree distribution. In his articles, he combines various disciplines, including Combinatorics and Context.

His work deals with themes such as Langevin dynamics, Hessian matrix, Applied mathematics and Maxima and minima, which intersect with Gradient descent. His Statistical model study integrates concerns from other disciplines, such as Lebesgue measure, Point process, Poisson point process and Subsequence. His Vertex study incorporates themes from Bounded function and Nonparametric model.

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.

Maximizing social influence in nearly optimal time

Christian Borgs;Michael Brautbar;Jennifer Chayes;Brendan Lucier.

symposium on discrete algorithms **(2014)**

719 Citations

Convergent sequences of dense graphs I: Subgraph frequencies, metric properties and testing

C. Borgs;Jennifer T. Chayes;László Lovász;Vera T. Sós.

Advances in Mathematics **(2008)**

620 Citations

Directed scale-free graphs

Béla Bollobás;Christian Borgs;Jennifer Chayes;Oliver Riordan.

symposium on discrete algorithms **(2003)**

447 Citations

A Rigorous Theory of Finite-Size Scaling at First-Order Phase Transitions

Christian Borgs;Roman Kotecký.

Journal of Statistical Physics **(1990)**

339 Citations

Convergent Sequences of Dense Graphs II. Multiway Cuts and Statistical Physics

Christian Borgs;Jennifer T. Chayes;László Lovász;Vera T. Sós.

Annals of Mathematics **(2012)**

304 Citations

Trust-based recommendation systems: an axiomatic approach

Reid Andersen;Christian Borgs;Jennifer Chayes;Uriel Feige.

the web conference **(2008)**

278 Citations

Dynamics of bid optimization in online advertisement auctions

Christian Borgs;Jennifer Chayes;Nicole Immorlica;Kamal Jain.

the web conference **(2007)**

267 Citations

Multi-unit auctions with budget-constrained bidders

Christian Borgs;Jennifer Chayes;Nicole Immorlica;Mohammad Mahdian.

electronic commerce **(2005)**

258 Citations

On the spread of viruses on the internet

Noam Berger;Christian Borgs;Jennifer T. Chayes;Amin Saberi.

symposium on discrete algorithms **(2005)**

245 Citations

The scaling window of the 2-SAT transition

Béla Bollobás;Béla Bollobás;Christian Borgs;Jennifer T. Chayes;Jeong Han Kim.

Random Structures and Algorithms **(2001)**

244 Citations

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