Trond Digernes
Publications
2024
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Digernes, Trond.
(2024)
A glimpse into non-Archimedean mathematical physics.
Pure and Applied Functional Analysis
Academic article
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Digernes, Trond.
(2024)
A short review of finite approximations and unconventional physics.
Expositiones mathematicae
Academic article
2020
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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
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Bratteli, Tone;
Digernes, Trond;
Elliott, George A.;
Evans, David E.;
Jorgensen, Palle E.T.;
Kishimoto, Akitaka;
Landstad, Magnus Brostrup;
Robinson, Derek W;
Størmer, Erling.
(2020)
Ola Bratteli and His Diagrams.
Notices of the American Mathematical Society
Academic literature review
2018
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Digernes, Trond.
(2018)
A Review of Finite Approximations, Archimedean and Non-Archimedean.
P-Adic Numbers, Ultrametric Analysis, and Applications
Academic literature review
2017
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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
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Bakken, Erik Makino;
Digernes, Trond.
(2015)
Finite approximations of physical models over local fields.
P-Adic Numbers, Ultrametric Analysis, and Applications
Academic article
2013
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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
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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
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Digernes, Trond;
Weisbart, David.
(2009)
Matrix-valued Schrödinger operators over local fields.
P-Adic Numbers, Ultrametric Analysis, and Applications
Academic article
2008
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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
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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
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Digernes, Trond;
Husstad, Espen;
Varadarajan, V. S..
(1999)
Finite approximation of Weyl systems.
Mathematica Scandinavica
Academic article
Journal publications
-
Digernes, Trond.
(2024)
A glimpse into non-Archimedean mathematical physics.
Pure and Applied Functional Analysis
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
-
Bakken, Erik Makino;
Digernes, Trond.
(2015)
Finite approximations of physical models over local fields.
P-Adic Numbers, Ultrametric Analysis, and Applications
Academic article
-
Digernes, Trond.
(2024)
A short review of finite approximations and unconventional physics.
Expositiones mathematicae
Academic article
-
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;
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;
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;
Husstad, Espen;
Varadarajan, V. S..
(1999)
Finite approximation of Weyl systems.
Mathematica Scandinavica
Academic article
-
Bratteli, Tone;
Digernes, Trond;
Elliott, George A.;
Evans, David E.;
Jorgensen, Palle E.T.;
Kishimoto, Akitaka;
Landstad, Magnus Brostrup;
Robinson, Derek W;
Størmer, Erling.
(2020)
Ola Bratteli and His Diagrams.
Notices of the American Mathematical Society
Academic literature review
-
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;
Weisbart, David.
(2009)
Matrix-valued Schrödinger operators over local fields.
P-Adic Numbers, Ultrametric Analysis, and Applications
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.
(2018)
A Review of Finite Approximations, Archimedean and Non-Archimedean.
P-Adic Numbers, Ultrametric Analysis, and Applications
Academic literature review
Outreach
2025
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Conference lectureDigernes, Trond. (2025) Non-Archimedean Test Function Spaces: A Discussion. NONLINEARITY, NONLOCALITY AND ULTRAMETRICITY International Conference on the Occasion of Branko Dragovich 80th Birthday
2023
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Conference lectureDigernes, Trond. (2023) In search of a non-Archimedean Schwartz space. Workshop on quantum harmonic analysis
2022
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Conference lectureDigernes, Trond. (2022) In Search of a non-Archimedean Schwartz Space. International Conference "New Trends in Mathematical Physics"
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LectureDigernes, Trond. (2022) Introduction to p-adic Analysis. Research School in p-Adic Numbers, Ultrametric Analysis, and Applications
2019
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Conference lectureDigernes, Trond; Jakobsen, Mads Sielemann. (2019) A space of p-adic test functions. p-adics.2019 - Seventh International Conference on p-Adic Mathematical Physics and its Applications
2015
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Conference lectureDigernes, Trond. (2015) Stochastic methods for finite approximations in a non-Archimedean setting. International Conference on p-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS
2014
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Conference lectureDigernes, Trond. (2014) FINITE APPROXIMATIONS OF PHYSICAL MODELS OVER LOCAL FIELDS. Group Theory, Probability, and the Structure of Spacetime
2013
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Conference lectureDigernes, Trond. (2013) FINITE APPROXIMATIONS OF PHYSICAL MODELS OVER p-ADIC FIELDS. International Workshop on p-Adic Methods for Modeling of Complex Systems
2012
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Conference lectureDigernes, Trond. (2012) Some aspects of physics over local fields and finite approximations. Modern Methods of Time-Frequency Analysis II/Operator algebras and time-frequency methods
2008
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Conference lectureDigernes, Trond; Weisbart, David. (2008) Schrõdinger Operators over Local Fields. INTERNATIONAL CONFERENCE ON OPERATOR ALGEBRAS IN MOROCCO
2007
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Conference lectureDigernes, Trond; Weisbart, David. (2007) Matrix Valued Schrödinger Operators on Local Fields. The Third International Conference on p-Adic Mathematical Physics
2003
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Conference lectureDigernes, Trond. (2003) "Some phenomena in the vacuum sector of an unconventional quantum system". Recent Advances in Von Neumann Algebras
2002
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Conference lectureDigernes, Trond. (2002) Topics from unconventional physics. ICM2002 Satellite Conference on Operator Algebras and Applications
2001
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Conference lectureDigernes, Trond. (2001) Models for the Basic Irreducible Representation of a Heisenberg Group. [Mangler data]
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Conference lectureDigernes, Trond. (2001) Weyl systems for Heisenberg groups and the structure of their vacuum sector. Danish-Norwegian Symposium on Operator Algebras.
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Conference lectureDigernes, Trond. (2001) Weyl systems for Heisenberg groups and the structure of their vacuum sectors. Workshop in Operator Algebras
2000
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Conference lectureDigernes, Trond. (2000) Finite approximations and physics over unconventional fields and rings. 957th AMS Meeting
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Conference lecture
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Conference lecture
1999
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Conference lecture
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Conference lectureDigernes, Trond. (1999) Unconventional Physics and Finite Approximations. US-Japan Symposium on Operator Algebras
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Conference lectureDigernes, Trond. (1999) Finite approximations and physics over unconventional fields. Operator Algebras and Applications
1998
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Conference lectureDigernes, Trond; Husstad, Espen. (1998) The Schwinger Approximation Scheme for Quantum Systems. International Conference on Frontiers in Quantum Physics
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Lecture
1996
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LectureDigernes, Trond; Husstad, Espen; Varadarajan, V.S.. (1996) Finite approximations of Weyl systems. [Mangler data]
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Lecture
1994
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LectureDigernes, Trond. (1994) Finite approximations of quantum systems. West Coast Operator Algebra Conference
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LectureDigernes, Trond. (1994) Some properties of the Schwinger Hamiltonian. Functional Analysis Colloquium
1993
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LectureDigernes, Trond. (1993) Finite approximations and the Schwinger Hamiltonian. Dansk-Norsk Operatoralgebra Symposium
1992
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LectureDigernes, Trond. (1992) Finite dimensional approximations to quantum systems. Dansk-Norsk Operatoralgebra Symposium