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Uniqueness of Gibbs measures for continuous hardcore models
Published 2021“…Our result shows that, in contrast to the standard discrete hardcore model, the continuous hardcore model does not exhibit a phase transition on the infinite regular tree. …”
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The Magic of ELFs
Published 2021“…In particular, we show how to use ELFs to build secure point function obfuscation with auxiliary input, as well as polynomially many hardcore bits for any one-way function. Such applications were previously known from strong knowledge assumptions—for example, polynomially many hardcore bits were only known from differing inputs obfuscation, a notion whose plausibility has been seriously challenged. …”
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Classical Commitments to Quantum States
Published 2024“…We construct our commitment scheme from the post-quantum Learning With Errors (LWE) assumption, and rely directly on any noisy trapdoor claw-free function family that satisfies the adaptive hardcore bit property first introduced in [Bra+18].…”
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