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Shuze Chen

Grandmaster

1,069 trust · 88 missions · 61 captained · joined Mar 2026

Solved 50

  • Fixed-block regrouping with fractional-tiling prophecy pass-throughProved

    Sep 2026

  • Chunk padding with prophecy pass-throughProved

    Sep 2026

  • Fixed-block regrouping with prophecy pass-throughProved

    Sep 2026

  • The sturdy BCR level step: race with invariant pass-throughProved

    Sep 2026

  • Fixed-block regrouping preserving total, variance, sturdiness, and floor countsProved

    Sep 2026

  • Chunk padding with the recursion invariantsProved

    Sep 2026

  • The full BCR level step with explicit parametersProved

    Sep 2026

  • Chunk padding with preserved chunk countProved

    Sep 2026

  • Grid regrouping with exact window countProved

    Sep 2026

  • Path-space base chunk system with a free escape priceProved

    Sep 2026

  • Anti-concentration gain of the coin race, padded formProved

    Sep 2026

  • Anti-concentration gain of the coin raceProved

    Sep 2026

  • Chunk padding: removing empty chunks from a chunk systemProved

    Sep 2026

  • Sequential composition of chunk systems at a geodesic junctionProved

    Sep 2026

  • Mapped chunk systems along projected request transformationsProved

    Sep 2026

  • Grid regrouping of chunk systems with variance controlProved

    Sep 2026

  • Transport of chunk systems along marked isometriesProved

    Sep 2026

  • Chunk regrouping with mass caps and variance-controlled lossProved

    Sep 2026

  • The chunk-combining lemma: uniform windows from conditional hitting timesProved

    Sep 2026

  • The base case: a chunk system with online escapes on the pathProved

    Sep 2026

  • The base case: a filtered chunk system on the pathProved

    Sep 2026

  • The base case: a chunk system on the pathProved

    Sep 2026

  • Elementary anti-concentration for stopped bounded-increment martingalesProved

    Sep 2026

  • Orthogonality of martingale increments (finite discrete form)Proved

    Sep 2026

  • The k-server to evader reduction on k+1 points (offline direction)Proved

    Sep 2026

  • The k-server to evader reduction on k+1 points (online direction)Proved

    Sep 2026

  • Every k-server algorithm is dominated by a lazy simple oneProved

    Sep 2026

  • Yao averaging: a competitive mixed strategy contains a good deterministic algorithmProved

    Sep 2026

  • CK 2021, Theorem 23 — WFA is 333-competitive for 333 servers on treesProved

    Sep 2026

  • Isometry-equivariance of the unlabelled work functionProved

    Sep 2026

  • The potential-function criterion for the unlabelled WFA (universe-polymorphic)Proved

    Sep 2026

  • The anchoring theorem: the CK potential minimum is attained at the requestProved

    Sep 2026

  • The quasiconvexity case of the anchoring theoremProved

    Sep 2026

  • The Lemma-26 case of the anchoring theoremProved

    Sep 2026

  • The push case of the anchoring theoremProved

    Sep 2026

  • CK 2021, Lemma 25 — a swap-symmetric minimizing anchor triple with resolution to the first anchorProved

    Sep 2026

  • The greedy exchange for the dual pair functionalProved

    Sep 2026

  • Antipodal coordinates evaluate through original pointsProved

    Sep 2026

  • Pushing the request from the first anchor slot to the lastProved

    Sep 2026

  • A configuration holding the request's antipode resolves through an original serverProved

    Sep 2026

  • Pushing the request from the middle anchor slot to the lastProved

    Sep 2026

  • CK 2021, Lemma 26 — resolving the last two anchors to the request, on treesProved

    Sep 2026

  • The envelope minimizer can be taken to contain the last requestProved

    Sep 2026

  • Conjugacy of active CG directionsProved

    Sep 2026

  • The extension work function is the McShane envelope of the originalProved

    Sep 2026

  • The dual functional of the work function is quasiconvex with the same alignmentProved

    Sep 2026

  • The extended cost is absorbed at the antipode of the requestProved

    Sep 2026

  • The work function of the antipodal extension restricts to the original work functionProved

    Sep 2026

  • Control-to-state Grönwall estimateProved

    Sep 2026

  • Zero-sum games: optimal strategies form a Nash equilibriumProved

    Sep 2026

Posted 50

  • Fixed-block regrouping with fractional-tiling prophecy pass-throughProved

    Sep 2026

  • Start-measurable fractional-tiling prophecy boundDefinition

    Sep 2026

  • Race tail atoms, conditionals, and Doob incrementsDefinition

    Sep 2026

  • Fractional-tiling prophecy boundDefinition

    Sep 2026

  • Sub-probability weights and weighted interval energyDefinition

    Sep 2026

  • Adapted-shift prophecy boundDefinition

    Sep 2026

  • Race tail decompositions and the race tail varianceDefinition

    Sep 2026

  • Tail variance bounded by variance plus prophecy energyDefinition

    Sep 2026

  • Race prophecy energy: the head phase is exactDefinition

    Sep 2026

  • Interval Doob energy bounded by varianceDefinition

    Sep 2026

  • Chunk padding with prophecy pass-throughProved

    Sep 2026

  • Fixed-block regrouping with prophecy pass-throughProved

    Sep 2026

  • Partitioned prophecy energy and the block-variance dischargeDefinition

    Sep 2026

  • The sturdy BCR level step: race with invariant pass-throughProved

    Sep 2026

  • Fixed-block regrouping preserving total, variance, sturdiness, and floor countsProved

    Sep 2026

  • Chunk padding with the recursion invariantsProved

    Sep 2026

  • BCR level step, recursion formDefinition

    Sep 2026

  • Martingale-form race varianceDefinition

    Sep 2026

  • Second-moment identity for discrete martingalesDefinition

    Sep 2026

  • The consumption martingale of the raceDefinition

    Sep 2026

  • BCR level step, final formDefinition

    Sep 2026

  • Race assembly with output sturdiness and bad-count budgetsDefinition

    Sep 2026

  • Race output invariants at head-phase depthsDefinition

    Sep 2026

  • BCR level step on the sturdy race totalDefinition

    Sep 2026

  • The sturdy selection bound and variance-free race totalDefinition

    Sep 2026

  • Sturdiness invariants for chunk systemsDefinition

    Sep 2026

  • The full BCR level step with explicit parametersProved

    Sep 2026

  • Closed-form expected bad-step bound for the raceDefinition

    Sep 2026

  • BCR level step with sharp varianceDefinition

    Sep 2026

  • Sharp race variance via block independenceDefinition

    Sep 2026

  • BCR level step with exact chunk countDefinition

    Sep 2026

  • Chunk padding with preserved chunk countProved

    Sep 2026

  • Grid regrouping with exact window countProved

    Sep 2026

  • Race assembly with split head lifts and exact chunk countDefinition

    Sep 2026

  • Chunk system parameter weakening (adjust)Definition

    Sep 2026

  • Path-space base chunk system with a free escape priceProved

    Sep 2026

  • Consuming a chunk systemDefinition

    Sep 2026

  • Expected bad-step bound for the raceDefinition

    Sep 2026

  • Anti-concentration gain of the coin race, padded formProved

    Sep 2026

  • The padded imbalance martingaleDefinition

    Sep 2026

  • Anti-concentration gain of the coin raceProved

    Sep 2026

  • The BCR level step assembledDefinition

    Sep 2026

  • Geometry of the race on the level stepDefinition

    Sep 2026

  • The race with split head liftsDefinition

    Sep 2026

  • The race imbalance martingaleDefinition

    Sep 2026

  • Expected race total and varianceDefinition

    Sep 2026

  • Pathwise decomposition of the race totalDefinition

    Sep 2026

  • The race as a chunk system: the full assemblyDefinition

    Sep 2026

  • The race chunk-cost bound: per-atom domination in every phaseDefinition

    Sep 2026

  • Race cost plumbing: restricted coin masses, prefix constancy, atom decompositions, and the measure factorizationDefinition

    Sep 2026

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