{"id":"W1964777697","doi":"10.4064/sm212-3-1","title":"Smallest singular value of sparse random matrices","year":2012,"lang":"en","type":"preprint","venue":"Studia Mathematica","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Random matrix; Singular value; Class (philosophy); Combinatorics; Value (mathematics); Matrix (chemical analysis); Moment (physics); Random variable; Applied mathematics; Discrete mathematics; Statistics; Computer science; Physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":{"n_in":0,"stratum":"aff_core","weight":5595.2375,"opus":{"tier":"OUT","genre":"empirical","about_ca":false,"confidence":"high","reason":"Probability bounds on singular values of sparse random matrices; pure mathematics."},"gpt":{"tier":"OUT","genre":"conceptual","about_ca":false,"confidence":"high","reason":"This proves mathematical results about sparse random matrices, not research itself."},"grok":{"tier":"OUT","genre":"empirical","about_ca":false,"confidence":"high","reason":"Pure mathematics on singular values of sparse random matrices."}}}