Skip to MenuSkip to Content
  • Toggle High Contrast
  • Toggle Font Size
Technion Logo
Department of Mathematics
Technion - Israel Institute of Technology
  • Home
    • Error 404
    • Academics Faculty
    • Instructions
  • People
    • Administrative Staff
    • Faculty
    • "Kamea" Program
    • Visitors
    • Post-Docs
    • Graduate Students
    • Adjuncts
    • Alumni
    • In Memoriam
      • Leonid Lerer
      • David Chillag
      • Arie Leizarowitz
      • Zvi Har'el
      • Robert W. Brooks
      • Paul Erdös
      • Binyamin Schwarz
      • Elisha Netanyahu
    • Staff Card
  • Research
    • Research Groups
    • Research Areas
    • Center for Math Sciences
      • CMS - Information
      • CMS - Activities Archive
        • Year 2014-2015
        • Year 2013-2014
        • Year 2012-2013
        • Year 2011-2012
        • Year 2010-2011
        • Year 2009-2010
        • Year 2008-2009
        • Year 2007-2008
        • Year 2006-2007
        • Year 2005-2006
        • Year 2004-2005
        • Year 2003-2004
        • Year 2002-2003
        • Year 2001-2002
        • Year 2000-2001
        • Year 1999-2000
        • Year 1998-1999
      • CMS - Guidelines Forms for Submitting Proposals
        • CMS - Download Guidelines Forms
  • Studies
    • Undergraduate Studies
    • Graduate Studies
    • Postdoctoral Studies
    • Classrooms
    • Courses
      • Service Courses   
      • Math Dep Courses   
    • Mathematics for Youth   
    • Exams for the Technion   
  • Library
    • Collections
    • Library Services
    • Library Staff
    • Exams
    • Exams Store
      • List of Courses
        • List of Courses
        • List of Exams
    • Databases
    • Journals
    • External Math Resources
    • New Books
  • Events
    • Faculty Activities
    • Event
    • Google Calendar of Seminars, Colloquia and Activities
    • Regular Seminars and Colloquia
      • Regular Seminars and Colloquia
      • Regular Seminars and Colloquia
      • Test (vadder)
      • Test (vadder)
      • Colloquium
      • Colloquium
      • PDE and Applied Mathematics Seminar
      • PDE and Applied Mathematics Seminar
      • Nonlinear Analysis and Optimization Seminar
        • Archive
          • Year 2014-2015
          • Year 2013-2014
          • Year 2012-2013
          • Year 2011-2012
          • Year 2010-2011
          • Year 2009-2010
          • Year 2008-2009
          • Year 2007-2008
      • Nonlinear Analysis and Optimization Seminar
      • Geometry and Topology Seminar
      • Geometry and Topology Seminar
      • Groups, Dynamics and Related Topics
      • Groups, Dynamics and Related Topics
      • Combinatorics Seminar
      • Combinatorics Seminar
      • Algebra Seminar
      • Algebra Seminar
      • Let's do research in Mathematics
      • Let's do research in Mathematics
      • Free Analysis Seminar
      • Free Analysis Seminar
      • Operator Algebras/Operator Theory
      • Operator Algebras/Operator Theory
    • Techmath
      • Techmath - Submission Form
      • Techmath - Troubleshooting
    • CMS Activities
      • CMS Activities
      • CMS Activities
    • Special Lectures
      • Netanyahu Lectures
    • Math Club Lectures
      • Math Club Lectures
      • Math Club Lectures
    • News
  • Resources
    • Department Committees
    • Positions
      • Positions
      • Tenure Track Positions
      • PostDoc Research Fellowships
        • Registration for Candidates
      • Visiting Positions
    • Administrative Offices
      • Administrative Offices
      • Test (vadder)
      • Dean of the faculty
      • Head of administration
      • Department secretary
      • Teaching
      • Graduate students
      • Undergraduate students
      • Research secretary
      • Library
      • Network and computer manager
      • CMS
      • Application
    • Computer Farm
      • Staff
      • Magnetic Card Policy
      • Printing Policy
      • Print Help
      • Secure Services
        • Secure Services
        • Get Web Password
        • Change Web Password
        • Check Printing Quota
        • Check/Cancel Printing Jobs
        • Upload Photo
        • Change Home Page
    • Search Services
      • MathSite Map
      • MathSite Search
      • Technion Phone Directory
    • Admin Menu
      • Faculty Activities
      • Faculty Activities
      • News
      • News
    • Forms
  • Gallery
  • About
    • About The Department
    • Contact Information
    • Legend
Decorative Banner

Event № 754

Event № 754
TE Groups, Dynamics and Related Topics - Demi Allen 13/12/2018, Thursday, 14:30
Type: Seminar
Name: Groups, Dynamics and Related Topics
Title: A mass transference principle for systems of linear forms with applications to Diophantine approximation
Speaker: Demi Allen
Place: Amado, Technion
Abstract:

In Diophantine approximation we are often interested in the Lebesgue and Hausdorff measures of certain lim sup sets. In 2006, Beresnevich and Velani proved a remarkable result — the Mass Transference Principle — which allows for the transference of Lebesgue measure theoretic statements to Hausdorff measure theoretic statements for lim sup sets arising from sequences of balls in R k . Subsequently, they extended this Mass Transference Principle to the more general situation in which the lim sup sets arise from sequences of neighbourhoods of “approximating” planes. In this talk I will discuss a recent strengthening (joint with Victor Beresnevich, York, UK) of this latter result in which some potentially restrictive conditions have been removed from the original statement. This improvement gives rise to some very general statements which allow for the immediate transference of Lebesgue measure Khintchine–Groshev type statements to their Hausdorff measure analogues and, consequently, has some interesting applications in Diophantine approximation

SubmittedBy: Seminar/Colloquium Moderator
EventLink: Event № 754
Print event № 754 …
Mathematics for Youth    
  • מרכז נועם לנוער
  • מחנה קיץ בתורת המספרים
  • מחנה קיץ בתורת הגרפים
  • תחרות גרוסמן במתמטיקה
  • חוג ההכנה ללימודי מתמטיקה בטכניון
  • נטגר - כתב עת מתמטי לנוער
  • מתיכון לטכניון - מסלול לימודים לתלמידי תיכון
Mathematics for Youth …
Positions
  • Tenure Track Positions
  • PostDoc Research Fellowships
  • Visiting Positions
  • PostDoc Teaching (In Hebrew) (Downloads/Opens pdf file in a new window)
Positions …
Decorative image for Undergraduate Studies Undergraduate Studies
Decorative image for Graduate Studies Graduate Studies
Decorative image for PostDoc Studies PostDoc Studies
Useful Links
  • Secure Services (MathDep)
  • Exams Store (MathDep)
  • MathNet
  • Moodle
  • Webmail
  • Technion Cloud Services
  • Technion Computer Accounts
  • Technion Help Desk
  • Technion Calendar
  • Technion Phone Directory
  • Home
  • Site Map
  • Legend
  • Search
  • Accessibility Statement (Downloads/Opens pdf file in a new window)