Výsledky vyhledávání - "Trond Digernes"

Autor: Trond Digernes, Michael Rapoport, Srinivasa R. S. Varadhan, Rita Fioresi, Don Blasius, Ramesh Gangolli

Publikováno v: Notices of the American Mathematical Society

Known to friends, students, and colleagues just as Raja, Veeravalli Seshadri Varadarajan (born May 18, 1937) was a mathematician of Indian origin who made foundational contributions to multiple fields, including probability, the representation theory

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abf95eb0a724fee01e5800c7afcccc3f
https://doi.org/10.1090/noti2154

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Ola Bratteli and His Diagrams

Autor: Palle E. T. Jorgensen, Tone Bratteli, David Evans, Magnus B. Lanstad, Trond Digernes, Aki Kishimoto, Erling Størmer, George A. Elliott, Derek W. Robinson

Publikováno v: Notices of the American Mathematical Society

This article discusses the life and work of Professor Ola Bratteli (1946--2015). Family, fellow students, his advisor, colleagues and coworkers review aspects of his life and his outstanding mathematical accomplishments.
18 pages, 15 figures

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8b7d5051ab61475cfa10a8c954580a2
https://doi.org/10.1090/noti2085

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Finite approximations of physical models over local fields

Autor: Trond Digernes, Erik Makino Bakken

Publikováno v: P-Adic Numbers, Ultrametric Analysis, and Applications

We show that the Schrödinger operator associated with a physical system over a local field can be approximated in a very strong sense by finite Schrödinger operators. Some striking numerical results are included at the end of the article. This is a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34ef89e6e93d0403ea52d283795903f5
https://doi.org/10.1134/s2070046615040019

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Brownian Motion and Finite Approximations of Quantum Systems over Local Fields

Autor: Erik Makino Bakken, Trond Digernes, David Weisbart

Publikováno v: Reviews in Mathematical Physics

We give a stochastic proof of the finite approximability of a class of Schrödinger operators over a local field, thereby completing a program of establishing in a non-Archimedean setting corresponding results and methods from the Archimedean (real)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3af880f4b10cf0071a473e97a2820262

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Notes on Euler’swork on divergent factorial series and their associated continued fractions

Autor: Trond Digernes, Veeravalli S. Varadarajan

Publikováno v: Indian Journal of Pure and Applied Mathematics. 41:39-66

Factorial series which diverge everywhere were first considered by Euler from the point of view of summing divergent series. He discovered a way to sum such series and was led to certain integrals and continued fractions. His method of summation was

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::beb4fd84e908b80a8f92d7207b9a3b63
https://doi.org/10.1007/s13226-010-0019-8

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Matrix-valued Schrödinger operators over local fields

Autor: David Weisbart, Trond Digernes

Publikováno v: P-Adic Numbers, Ultrametric Analysis, and Applications. 1:136-144

We consider quantum systems that have as their configuration spaces finite dimensional vector spaces over local fields. The quantum Hilbert space is taken to be a space with complex coefficients and we include in our model particles with internal sym

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::74f4887cd5769ea33b255e138d485386
https://doi.org/10.1134/s2070046609020058

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SCHRÖDINGER OPERATORS ON LOCAL FIELDS: SELF-ADJOINTNESS AND PATH INTEGRAL REPRESENTATIONS FOR PROPAGATORS

Autor: Trond Digernes, D. E. Weisbart, Veeravalli S. Varadarajan

Publikováno v: Infinite Dimensional Analysis, Quantum Probability and Related Topics. 11:495-512

We consider quantum systems that have as their configuration spaces finite-dimensional vector spaces over local fields. The quantum Hilbert space is taken to be a space with complex coefficients and we include in our model particles with internal sym

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bd15aa35ce8549444ebebd9f23d890b6
https://doi.org/10.1142/s0219025708003294

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