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March 21, 20260 citationsOpen Access

Complexity Theory

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(U(:unkn) unknown

Key Points

  • The aim is to investigate the power and limitations of computational resources through various subfields.
  • Focused discussions on fine-grained complexity and algorithmic fairness.
  • Exploration of pseudorandomness and cryptography.
  • Analysis of Markov Chain Monte Carlo techniques and approximation problems.
  • Identified new links between complexity and diverse mathematical fields.
  • Discussed recent breakthroughs in algorithmic fairness and approximation.
  • Presented innovative applications of pseudorandomness in cryptography.

Abstract

Computational Complexity Theory is the mathematical study of the intrinsic power and limitations of computational resources like time, space, or randomness. The current workshop focused on recent developments in various sub-areas including fine-grained complexity, algorithmic fairness, pseudorandomness, cryptography, arithmetic complexity, Markov Chain Monte Carlo, structure vs. randomness in combinatorics and complexity, meta-complexity, and the complexity of approximation problems. Many of the developments are related to diverse mathematical fields such as algebra, geometry, combinatorics, analysis, and coding theory.

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(:unkn) unknown (2024) studied this question.

synapsesocial.com/papers/69be38b56e48c4981c67944fhttps://doi.org/10.34657/32023
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