Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Craig A. Tracy"'
Publikováno v:
Toeplitz Operators and Random Matrices ISBN: 9783031138508
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07f81405cbe4f250108c78957ecbc6ef
https://doi.org/10.1007/978-3-031-13851-5_1
https://doi.org/10.1007/978-3-031-13851-5_1
Publikováno v:
Toeplitz Operators and Random Matrices ISBN: 9783031138508
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c43042b97b39cd81da027f8a8ed4e64e
https://doi.org/10.1007/978-3-031-13851-5_2
https://doi.org/10.1007/978-3-031-13851-5_2
This volume is dedicated to the memory of Harold Widom (1932–2021), an outstanding mathematician who has enriched mathematics with his ideas and ground breaking work since the 1950s until the present time. It contains a biography of Harold Widom,
Autor:
Craig A. Tracy, Jürg Fröhlich, Jennifer Chayes, George E. Andrews, Harold Widom, Joel L. Lebowitz, Andrew V. Sills, Pavel Bleher, Krishnaswami Alladi, Stephen L Adler, Hugh L. Montgomery, Andrew Odlyzko, Horng-Tzer Yau, Juan M Maldacena
Publikováno v:
Notices of the American Mathematical Society. 68:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab090ffb756e99898a91ea1d56e3651f
https://doi.org/10.1090/noti2323
https://doi.org/10.1090/noti2323
Autor:
Harold Widom, Craig A. Tracy
Publikováno v:
Trends in Mathematics ISBN: 9783319635934
Building on previous work of the authors, we here derive the weak coupling asymptotics to order γ2 of the ground state energy of the deltafunction Fermi gas. We use a method that can be applied to a large class of finite convolution operators.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93938bfbb8fc05343ed9b89bc44f2d74
https://doi.org/10.1007/978-3-319-63594-1_21
https://doi.org/10.1007/978-3-319-63594-1_21
Autor:
Harold Widom, Craig A. Tracy
In earlier work (arXiv:1707.04927) the authors obtained formulas for the probability in the asymmetric simple exclusion process that at time $t$ a particle is at site $x$ and is the beginning of a block of $L$ consecutive particles. Here we consider
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca7356749f6e5285a39d4137d4a63f6f
http://arxiv.org/abs/1711.08094
http://arxiv.org/abs/1711.08094
Autor:
Craig A. Tracy, Harold Widom
Publikováno v:
Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics ISBN: 9783319491806
In the theory of the two-dimensional Ising model, the diagonal susceptibility is equal to a sum involving Toeplitz determinants. In terms of a parameter k the diagonal susceptibility is analytic for |k| < 1, and the authors proved the conjecture that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5707d4695ff11cdf93eaebc50e45aec0
https://doi.org/10.1007/978-3-319-49182-0_29
https://doi.org/10.1007/978-3-319-49182-0_29
Autor:
Harold Widom, Craig A. Tracy
Publikováno v:
Tracy, Craig A.; & Widom, Harold. (2012). The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line. J. Statistical Physics (2013) 150:1-12. doi: 10.1007/s10955-012-0686-4. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/26g1d7xf
In this paper we find explicit formulas for: (1) Green's function for a system of one-dimensional bosons interacting via a delta-function potential with particles confined to the positive half-line; and (2) the transition probability for the one-dime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1d0bb87266107b576b67c6580080326
https://doi.org/10.1007/s10955-012-0686-4
https://doi.org/10.1007/s10955-012-0686-4
Autor:
Craig A. Tracy, Harold Widom
Publikováno v:
Tracy, Craig A.; & Widom, Harold. (2016). On the ground state energy of the delta-function Bose gas. J. Phys. A: Math. Theor. 49 (2016) 294001. doi: 10.1088/1751-8113/49/29/294001. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/92n455ww
The weak coupling asymptotics, to order $(c/\rho)^2$, of the ground state energy of the delta-function Bose gasmis derived. Here $2c\ge 0$ is the delta-function potential amplitude and $\rho$ the density of the gas in the thermodynamic limit. The ana
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8da6b7f85ae8564ed92d6492abd17383
http://arxiv.org/abs/1601.04677
http://arxiv.org/abs/1601.04677
Autor:
Craig A. Tracy, Harold Widom
The weak coupling asymptotics to order $\gamma$ of the ground state energy of the delta-function Fermi gas, derived heuristically in the literature, is here made rigorous. Further asymptotics are in principle computable. The analysis applies to the G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e5c449f74fb2003602574ac54368cf0