Zobrazeno 1 - 10
of 13
pro vyhledávání: '"David Weisbart"'
Autor:
David Weisbart
Publikováno v:
Mathematics, Vol 8, Iss 12, p 2204 (2020)
In his famous work, “Measurement of a Circle,” Archimedes described a procedure for measuring both the circumference of a circle and the area it bounds. Implicit in his work is the idea that his procedure defines these quantities. Modern approach
Externí odkaz:
https://doaj.org/article/eaad24fb39024a478fdece92568cc498
Autor:
David Weisbart, Erik Makino Bakken
Publikováno v:
Communications in Mathematical Physics. 369:371-402
The p-adic diffusion equation is a pseudo differential equation that is formally analogous to the real diffusion equation. The fundamental solutions to pseudo differential equations that generalize the p-adic diffusion equation give rise to p-adic Br
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c404c6fdd9c5caeaa306260dccb3b493
https://doi.org/10.1007/s00220-019-03447-y
https://doi.org/10.1007/s00220-019-03447-y
Autor:
David Weisbart
For each prime $p$, a diffusion constant together with a positive exponent specify a Vladimirov operator and an associated $p$-adic diffusion equation. The fundamental solution of this pseudo-differential equation gives rise to a measure on the Skoro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfe24e297f27bcbe7ea3e51e5f15e5e4
http://arxiv.org/abs/2004.02265
http://arxiv.org/abs/2004.02265
Autor:
Erik Makino Bakken, David Weisbart
Publikováno v:
Journal of Theoretical Probability. 32:781-805
The fundamental solutions to a large class of pseudo-differential equations that generalize the formal analogy of the diffusion equation in \(\mathbb {R}\) to the groups \(p^{-n}\mathbb {Z}_p/p^{n} \mathbb {Z}_p\) give rise to probability measures on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c15401dc3083664d4b88697129a2fd75
https://doi.org/10.1007/s10959-018-0831-3
https://doi.org/10.1007/s10959-018-0831-3
Publikováno v:
Pacific Journal of Mathematics. 296:227-256
We investigate the asymptotic growth of the canonical measures on the fibers of morphisms between vector spaces over local fields of arbitrary characteristic. For non-archimedean local fields we use a version of the Łojasiewicz inequality (\cite{loj
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a7b8d00700e4be4511b7a4abdfcd1836
https://doi.org/10.2140/pjm.2018.296.227
https://doi.org/10.2140/pjm.2018.296.227
Autor:
David Weisbart
Publikováno v:
Journal of Mathematical Physics. 62:103504
For each prime p, a Vladimirov operator with a positive exponent specifies a p-adic diffusion equation and a measure on the Skorokhod space of p-adic paths. The product, P, of these measures with a fixed exponent is a probability measure on the produ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e83936ffccc86cba8cab933cfcd1fbc
https://doi.org/10.1063/5.0056119
https://doi.org/10.1063/5.0056119
Publikováno v:
Journal of Mathematical Physics, vol 62, iss 4
JOURNAL OF MATHEMATICAL PHYSICS, vol 62, iss 4
JOURNAL OF MATHEMATICAL PHYSICS, vol 62, iss 4
Generalized span categories provide a framework for formalizing mathematical models of open systems in classical mechanics. We introduce categories $\mathsf{LagSy}$ and $\mathsf{HamSy}$ that respectively provide a categorical framework for the Lagran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfa0d3718686409644aaf2a90c2985ce
https://doi.org/10.1063/5.0029885
https://doi.org/10.1063/5.0029885
Autor:
J. Virtanen, David Weisbart
Publikováno v:
P-Adic Numbers, Ultrametric Analysis, and Applications. 6:318-332
We extend the method of L. Schwartz [1] to classify elementary scalar particles in p-adic space time. Schwartz obtained the states of the elementary particles over real spacetime as tempered distributions on spacetime itself. We obtain the analogous
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ffded50e5be975556ec8637cfd60d61
https://doi.org/10.1134/s2070046614040074
https://doi.org/10.1134/s2070046614040074
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
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
https://doi.org/10.1134/s2070046609020058