A hyper-geometric approach to the BMV-conjecture

2004/08/09 by Michaeln Drmota, Drmota, Michaeln, Walter Schachermayer +3
Mathematics · Physics and Astronomy · #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #General Mathematics (math.GM) #Mathematical Physics (math-ph) #Random Matrices and Applications #math-ph #math.GM #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0408015

arxiv created 2004/08/09 · openalex publication_date 2004/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a representation of the (signed) BMV-measure by stochastic means and prove positivity of the respective measures in dimension d=3 in several non-trivial cases by combinatorial methods.

Related

• Proof of the BMV Conjecture
• The Affine BV-capacity
• High Dimensional Space Oddity
• On some geometrical methods leading to martingales useful in measure theory
• On the law of the iterated logarithm and strong invariance principles in\n stochastic geometry