What is recorded here?
Mixed characteristic polynomials and interlacing families yield a finite-dimensional random-vector norm bound. A two-part vector partition consequence establishes Weaver's KS2 conjecture and hence the Kadison–Singer problem through the previously known equivalences.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The main random vectors are independent and finitely supported, with an identity covariance sum and bounded expected squared norms. The paper proves existence; its conclusion asks separately for efficient partition-finding algorithms.
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People and systems
Adam Marcus; Daniel A. Spielman; Nikhil Srivastava
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English catalogue narrative
Marcus, Spielman and Srivastava: interlacing-polynomial solution of the Kadison–Singer problem
Mixed characteristic polynomials and interlacing families yield a finite-dimensional random-vector norm bound. A two-part vector partition consequence establishes Weaver's KS2 conjecture and hence the Kadison–Singer problem through the previously known equivalences.
Scientific scope
The main random vectors are independent and finitely supported, with an identity covariance sum and bounded expected squared norms. The paper proves existence; its conclusion asks separately for efficient partition-finding algorithms.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Adam Marcus; Daniel A. Spielman; Nikhil Srivastava
Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.