Skip to main content

Canonical Equation K 12 for Random Gram Matrices with Infinitely Small Entries

  • Chapter
Theory of Stochastic Canonical Equations

Part of the book series: Mathematics and Its Applications ((MAIA,volume 535))

  • 414 Accesses

Abstract

The aim of this chapter is to prove the principal result for random Gram matrices with asymptotically constant entries(ACE-Gram matrices). The method of martingale differences is one of the oldest tools in the theory of random matrices (see surveys and books devoted to the spectral theory of random matrices in the list of references at the end of this book). In this brief Chapter, we restrict ourselves to the analysis of convergence of solutions of the accompanying canonical equations. The detailed presentation can be found in the proof of Theorem 3.1.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Girko, V.L. (2001). Canonical Equation K 12 for Random Gram Matrices with Infinitely Small Entries. In: Theory of Stochastic Canonical Equations. Mathematics and Its Applications, vol 535. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0989-8_12

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0989-8_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3882-9

  • Online ISBN: 978-94-010-0989-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics