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Irit Dveer Dinur

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titleconferencedate
Codes with the multiplication propertyAdvances in the Theory of Error-Correcting Codes2024-04-08
Constructs LDPC codes on a triangle complex built from coset-style groups over F_p[t]/(irreducible of degree n), embedding each triangle as a point in F_p^{9n}…
Talk on
High-Dimensional Expanders 1Analysis and TCS Boot Camp 20232023-06-05
Defines a d-dimensional lambda link expander: every link (neighborhood of a face) has 1-skeleton with spectral gap ≤ lambda, and shows this local property…
Talk
High-Dimensional Expanders 2Analysis and TCS Boot Camp 20232023-06-05
Proves a concrete local‑to‑global claim: link expander ⇒ random‑walk expander by rewriting the upper walk as an expectation over links, bounding Mi+⟨f,f⟩ by…
Talk
Constraint Satisfaction and Expansion50 Years of Satisfiability: The Centrality of SAT in the Theory of Computing2021-02-11
PCP-based reductions produce instances whose value is either 1 or bounded away from 1 (classically 7/8 for 3-SAT), using two routes: an algebraic encoding into…
Talk
Explicit SoS lower bounds from high-dimensional expandersITCS 20212021-01-06
Constructs deterministic, polynomial-time Max-3-XOR instances from Ramanujan complexes whose true optimum is at most 1 − μ (μ a fixed constant, e.g. ~0.1) yet…
Talk
Crash Course on Probabilistically Checkable Proofs (PCP): IntroductionProbability, Geometry, and Computation in High Dimensions Boot Camp (Simons Institute, Fall 2020)2020-08-19
Crash-course claim: NP languages admit a randomized verifier that reads O(1) proof bits after tossing O(log n) coins, so a polynomial-time reduction maps any…
Talk
Crash Course on Probabilistically Checkable Proofs (PCP): Parallel RepetitionProbability, Geometry, and Computation in High Dimensions Boot Camp (Simons Institute, Fall 2020)2020-08-19
Parallel repetition takes a projection game and tensorizes it so questions are d-tuples; the basic PCP route uses this to amplify a 1 versus 1−ε gap to 1…
Talk
Direct Products and Parallel RepetitionQuantum Games and Protocols2014-02-24
Proves an exponential parallel-repetition bound for projection games with entanglement: if the entangled value is 1 − ε then the k-fold repeated entangled…
Talk
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