trureturingGitHub MATHEMATICAL ATLAS

Asymptotics / CONCEPT

Fixed-Point-Free Escape Probability

A fixed-point-free twist gives uniform escape probability one.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES6
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Fixed-point-free escape has probability one

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Diagonal Capture CountDiagonal Capture CountFixed-Point-Free Escape ProbabilityFixed-Point-Free EscapeProbabilityDense Phase Escape IdentityDense Phase Escape IdentityFixed-Output Escape LimitFixed-Output Escape LimitPoisson-Domain Escape LimitPoisson-Domain Escape LimitUniform Escape Probability BoundsUniform Escape ProbabilityBoundsEscape Probability MonotonicityEscape Probability MonotonicityUniform Escape Probability BridgeUniform Escape ProbabilityBridge
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S0
Domain
Asymptotics
Node ID
D5/S0/Asymptotics/FixedPointFreeEscapeProbability
Repository path
D5/S0/Asymptotics/FixedPointFreeEscapeProbability.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.