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Trond Digernes

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Trond Digernes

Professor Emeritus

trond.digernes@ntnu.no
+4792663816 Sentralbygg 2, 1056, Gløshaugen, Alfred Getz vei 1
Publications Outreach

Publications

  • Chronological
  • By category
  • See all publications in Cristin

2024

  • Digernes, Trond. (2024) A short review of finite approximations and unconventional physics. Expositiones mathematicae
    Academic article
  • Digernes, Trond. (2024) A glimpse into non-Archimedean mathematical physics. Pure and Applied Functional Analysis
    Academic article

2020

  • Bratteli, Tone; Digernes, Trond; Elliott, George A.; Evans, David E.; Jorgensen, Palle E.T.; Kishimoto, Akitaka. (2020) Ola Bratteli and His Diagrams. Notices of the American Mathematical Society
    Academic literature review
  • Digernes, Trond; Varadhan, S.R.S.; Rapoport, Michael; Gangolli, Ramesh; Fioresi, Rita; Blasius, Don. (2020) Recollections of V. S. Varadarajan. Notices of the American Mathematical Society
    Academic literature review

2018

  • Digernes, Trond. (2018) A Review of Finite Approximations, Archimedean and Non-Archimedean. P-Adic Numbers, Ultrametric Analysis, and Applications
    Academic literature review

2017

  • Bakken, Erik Makino; Digernes, Trond; Weisbart, David. (2017) Brownian motion and finite approximations of quantum systems over local fields. Reviews in Mathematical Physics
    Academic article

2015

  • Bakken, Erik Makino; Digernes, Trond. (2015) Finite approximations of physical models over local fields. P-Adic Numbers, Ultrametric Analysis, and Applications
    Academic article

2013

  • Bakken, Erik Makino; Digernes, Trond; Lund, Martin Wold; Weisbart, David. (2013) FINITE APPROXIMATIONS OF PHYSICAL MODELS OVER p-ADIC FIELDS. P-Adic Numbers, Ultrametric Analysis, and Applications
    Academic article

2010

  • Digernes, Trond; Varadarajan, VS. (2010) NOTES ON EULERS WORK ON DIVERGENT FACTORIAL SERIES AND THEIR ASSOCIATED CONTINUED FRACTIONS. Indian journal of pure and applied mathematics
    Academic article

2009

  • Digernes, Trond; Weisbart, David. (2009) Matrix-valued Schrödinger operators over local fields. P-Adic Numbers, Ultrametric Analysis, and Applications
    Academic article

2008

  • Digernes, Trond; Varadarajan, V.S.; Weisbart, David. (2008) SCHRÖDINGER OPERATORS ON LOCAL FIELDS: SELF-ADJOINTNESS AND PATH INTEGRAL REPRESENTATIONS FOR PROPAGATORS. Infinite Dimensional Analysis Quantum Probability and Related Topics
    Academic article

2004

  • Digernes, Trond; Varadarajan, V. S.. (2004) Models for the Irreducible Representation of a Heisenberg Group. Infinite Dimensional Analysis Quantum Probability and Related Topics
    Academic article

1999

  • Digernes, Trond; Husstad, Espen; Varadarajan, V. S.. (1999) Finite approximation of Weyl systems. Mathematica Scandinavica
    Academic article

Journal publications

  • Digernes, Trond. (2024) A short review of finite approximations and unconventional physics. Expositiones mathematicae
    Academic article
  • Digernes, Trond. (2024) A glimpse into non-Archimedean mathematical physics. Pure and Applied Functional Analysis
    Academic article
  • Bratteli, Tone; Digernes, Trond; Elliott, George A.; Evans, David E.; Jorgensen, Palle E.T.; Kishimoto, Akitaka. (2020) Ola Bratteli and His Diagrams. Notices of the American Mathematical Society
    Academic literature review
  • Digernes, Trond; Varadhan, S.R.S.; Rapoport, Michael; Gangolli, Ramesh; Fioresi, Rita; Blasius, Don. (2020) Recollections of V. S. Varadarajan. Notices of the American Mathematical Society
    Academic literature review
  • Digernes, Trond. (2018) A Review of Finite Approximations, Archimedean and Non-Archimedean. P-Adic Numbers, Ultrametric Analysis, and Applications
    Academic literature review
  • Bakken, Erik Makino; Digernes, Trond; Weisbart, David. (2017) Brownian motion and finite approximations of quantum systems over local fields. Reviews in Mathematical Physics
    Academic article
  • Bakken, Erik Makino; Digernes, Trond. (2015) Finite approximations of physical models over local fields. P-Adic Numbers, Ultrametric Analysis, and Applications
    Academic article
  • Bakken, Erik Makino; Digernes, Trond; Lund, Martin Wold; Weisbart, David. (2013) FINITE APPROXIMATIONS OF PHYSICAL MODELS OVER p-ADIC FIELDS. P-Adic Numbers, Ultrametric Analysis, and Applications
    Academic article
  • Digernes, Trond; Varadarajan, VS. (2010) NOTES ON EULERS WORK ON DIVERGENT FACTORIAL SERIES AND THEIR ASSOCIATED CONTINUED FRACTIONS. Indian journal of pure and applied mathematics
    Academic article
  • Digernes, Trond; Weisbart, David. (2009) Matrix-valued Schrödinger operators over local fields. P-Adic Numbers, Ultrametric Analysis, and Applications
    Academic article
  • Digernes, Trond; Varadarajan, V.S.; Weisbart, David. (2008) SCHRÖDINGER OPERATORS ON LOCAL FIELDS: SELF-ADJOINTNESS AND PATH INTEGRAL REPRESENTATIONS FOR PROPAGATORS. Infinite Dimensional Analysis Quantum Probability and Related Topics
    Academic article
  • Digernes, Trond; Varadarajan, V. S.. (2004) Models for the Irreducible Representation of a Heisenberg Group. Infinite Dimensional Analysis Quantum Probability and Related Topics
    Academic article
  • Digernes, Trond; Husstad, Espen; Varadarajan, V. S.. (1999) Finite approximation of Weyl systems. Mathematica Scandinavica
    Academic article

Outreach

2023

  • Academic lecture
    Digernes, Trond. (2023) In search of a non-Archimedean Schwartz space. Analysis Group, IMF, NTNU Workshop on quantum harmonic analysis , Trondheim 2023-06-05 - 2023-06-09

2022

  • Lecture
    Digernes, Trond. (2022) Introduction to p-adic Analysis. CIMPA-CIMAT Research School in p-Adic Numbers, Ultrametric Analysis, and Applications , Guanajuato 2022-05-23 - 2022-05-31
  • Academic lecture
    Digernes, Trond. (2022) In Search of a non-Archimedean Schwartz Space. Steklov International Mathematical Center International Conference "New Trends in Mathematical Physics" , Moskva 2022-11-07 - 2022-11-12

2019

  • Academic lecture
    Digernes, Trond; Jakobsen, Mads Sielemann. (2019) A space of p-adic test functions . University Beira Interior p-adics.2019 - Seventh International Conference on p-Adic Mathematical Physics and its Applications , Covilha 2019-09-30 - 2019-10-04

2015

  • Academic lecture
    Digernes, Trond. (2015) Stochastic methods for finite approximations in a non-Archimedean setting. International Conference on p-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS , Beograd 2015-09-07 - 2015-09-12

2014

  • Academic lecture
    Digernes, Trond. (2014) FINITE APPROXIMATIONS OF PHYSICAL MODELS OVER LOCAL FIELDS. Group Theory, Probability, and the Structure of Spacetime , University of California, Los Angeles (UCLA) 2014-11-07 - 2014-11-09

2013

  • Academic lecture
    Digernes, Trond. (2013) FINITE APPROXIMATIONS OF PHYSICAL MODELS OVER p-ADIC FIELDS. ZiF, Universität Bielefeld International Workshop on p-Adic Methods for Modeling of Complex Systems , Bielefeld 2013-04-15 - 2013-04-19

2012

  • Academic lecture
    Digernes, Trond. (2012) Some aspects of physics over local fields and finite approximations. Erwin Schrödinger International Institute Modern Methods of Time-Frequency Analysis II/Operator algebras and time-frequency methods , University of Vienna 2012-11-19 - 2012-11-23

2008

  • Academic lecture
    Digernes, Trond; Weisbart, David. (2008) Schrõdinger Operators over Local Fields. University Hassan I INTERNATIONAL CONFERENCE ON OPERATOR ALGEBRAS IN MOROCCO , Marrakech 2008-04-14 - 2008-04-18

2007

  • Academic lecture
    Digernes, Trond; Weisbart, David. (2007) Matrix Valued Schrödinger Operators on Local Fields. Steklov Mathematical Institute The Third International Conference on p-Adic Mathematical Physics , Moskva 2007-10-01 - 2007-10-06

2003

  • Academic lecture
    Digernes, Trond. (2003) "Some phenomena in the vacuum sector of an unconventional quantum system". Department of Mathematics, UCLA Recent Advances in Von Neumann Algebras , University of California, Los Angeles (UCLA) 2003-05-17 -

2002

  • Academic lecture
    Digernes, Trond. (2002) Topics from unconventional physics. International Congress of Mathematicians ICM2002 Satellite Conference on Operator Algebras and Applications , Chengde 2002-08-18 -

2001

  • Academic lecture
    Digernes, Trond. (2001) Models for the Basic Irreducible Representation of a Heisenberg Group. Department of Mathematics, University of California, Los Angeles , Los Angeles, California, USA 2001-06-06 -
  • Academic lecture
    Digernes, Trond. (2001) Weyl systems for Heisenberg groups and the structure of their vacuum sector. Norsk-Dansk forening Danish-Norwegian Symposium on Operator Algebras. , Lysebu, Oslo 2001-08-19 -
  • Academic lecture
    Digernes, Trond. (2001) Weyl systems for Heisenberg groups and the structure of their vacuum sectors. Senter for Høyere Studier (SHS), Oslo Workshop in Operator Algebras , Senter for Høyere Studier (SHS), Oslo 2001-11-07 -

2000

  • Academic lecture
    Digernes, Trond. (2000) Finite approximations and physics over unconventional fields. GPOTS GPOTS2000 , San Juan, Puerto Rico, 22-28 mai 2000. 2000-05-22 - 2000-05-28
  • Academic lecture
    Digernes, Trond. (2000) Finite approximations and physics over unconventional fields and rings. American Mathematical Society 957th AMS Meeting , Toronto, Ontario, Canada. 23-24 september 2000. 2000-09-23 - 2000-09-24
  • Academic lecture
    Digernes, Trond. (2000) Unconventional physics and finite approximations. , Matematisk Institutt, Universitetet i Oslo. 5. mai 2000. 2000-05-05 -

1999

  • Academic lecture
    Digernes, Trond. (1999) Physics over unconventional fields and rings. Functional Analysis Seminar , University of California, Los Angeles 1999-01-13 -
  • Academic lecture
    Digernes, Trond. (1999) Unconventional Physics and Finite Approximations. US-Japan Symposium on Operator Algebras , Kyushu University, Fukuoka, Japan
  • Academic lecture
    Digernes, Trond. (1999) Finite approximations and physics over unconventional fields. Mathematical Society of Japan Operator Algebras and Applications , Fukuoka 1999-06-07 - 1999-06-11

1998

  • Popular scientific lecture
    Digernes, Trond. (1998) Finite Approximations of Quantum Systems. Doppler seminar , Doppler Institute, Praha
  • Academic lecture
    Digernes, Trond; Husstad, Espen. (1998) The Schwinger Approximation Scheme for Quantum Systems. International Conference on Frontiers in Quantum Physics , Kuala Lumpur, Malaysia

1996

  • Popular scientific lecture
    Digernes, Trond. (1996) On p-adic physics. Functional Analysis Seminar , UCLA, Los Angeles
  • Popular scientific lecture
    Digernes, Trond; Husstad, Espen; Varadarajan, V.S.. (1996) Finite approximations of Weyl systems. , Doppler Inst., CTU, Praha

1994

  • Popular scientific lecture
    Digernes, Trond. (1994) Finite approximations of quantum systems. West Coast Operator Algebra Conference , [Mangler data]
  • Popular scientific lecture
    Digernes, Trond. (1994) Some properties of the Schwinger Hamiltonian. Functional Analysis Colloquium , [Mangler data]

1993

  • Popular scientific lecture
    Digernes, Trond. (1993) Finite approximations and the Schwinger Hamiltonian. Dansk-Norsk Operatoralgebra Symposium , [Mangler data]

1992

  • Popular scientific lecture
    Digernes, Trond. (1992) Finite dimensional approximations to quantum systems. Dansk-Norsk Operatoralgebra Symposium , [Mangler data]

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