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Statistical Physics, Interpolation Method and Scaling Limits in Sparse Random Graphs
Statistical physics, provided powerful insights into the theory of combinatorial structures and algorithms. For example, the success of certain counting algorithms is well known to be linked with the phase transition properties of the underlying…
Publication
Propositional Primal Logic with Disjunction
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Consideration Set Generation in Commerce Search
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On the Fourier Spectrum of Symmetric Boolean Functions
It is well-known that any Boolean function f:-1,+1n to -1,+1 can be written uniquely as a polynomial f(x) = sumS subset [n] fs prodi in S xi. The collection of coefficients (fS’s) this expression are…
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Information and Interactive Communication
Notions of entropy and information, pioneered by Shannon, have been very powerful tools in coding theory. Coding theory aims to solve the problem of one-way communication: sending a message from Alice to Bob using as…