Results 11 to 20 of about 19,285 (99)

Numerical Evidence that the Perturbation Expansion for a Non-Hermitian $\mathcal{PT}$-Symmetric Hamiltonian is Stieltjes

, 2000
Recently, several studies of non-Hermitian Hamiltonians having $\mathcal{PT}$ symmetry have been conducted. Most striking about these complex Hamiltonians is how closely their properties resemble those of conventional Hermitian Hamiltonians.
Andrianov, Bagchi, Baker, Bender, Bender, Bender, Bender, Bender, Bender, Bender, Bender, Bender, Bender, Bender, Bender, Bender, Brezinski, Brezinski, Cannata, Carl M. Bender, Chishtie, Chishtie, Chishtie, Chishtie, Delabaere, Delabaere, Dorey, Elias, Ellis, Ellis, Ellis, Ernst Joachim Weniger, Graffi, Graves-Morris, Herbst, Hurst, Jack, Jentschura, Jentschura, Jones, Pham, Samuel, Samuel, Samuel, Samuel, Samuel, Samuel, Simon, Steele, Steinfelds, Thirring, Weniger, Weniger, Weniger, Weniger, Weniger, Weniger, Wu, Wynn, Znojil   +59 more
core   +1 more source

Scaling of the glassy dynamics of soft repulsive particles: a mode-coupling approach

, 2009
We combine the hyper-netted chain approximation of liquid state theory with the mode-coupling theory of the glass transition to analyze the structure and dynamics of soft spheres interacting via harmonic repulsion.
Berthier, Ludovic, Flenner, Elijah, Jacquin, Hugo, Szamel, Grzegorz   +3 more
core   +3 more sources

Experimental and theoretical lifetimes and transition probabilities in Sb I [PDF]

, 2010
We present experimental atomic lifetimes for 12 levels in Sb I, out of which seven are reported for the first time. The levels belong to the 5p$^2$($^3$P)6s $^{2}$P, $^{4}$P and 5p$^2$($^3$P)5d $^{4}$P, $^{4}$F and $^{2}$F terms.
A. L. Osherovich, Hampus Nilsson, Hans Lundberg, Henrik Hartman, I. P. Grant, Lars Engström, Pascal Quinet, Patrick Palmeri, V. V. Tezikov, W. F. Meggers, Émile Biémont   +10 more
core   +1 more source

Melvin Models and Diophantine Approximation

, 2004
Melvin models with irrational twist parameter provide an interesting example of conformal field theories with non-compact target space, and localized states which are arbitrarily close to being delocalized.
Chan, Cornalba, Costa, David, David Kutasov, Dijkgraaf, Dowker, Dowker, Dowker, Dowker, Elitzur, Gregory W. Moore, Gutperle, Harvey, Headrick, Jens Marklof, Kol, Kutasov, Liu, Marklof, Pollicott, Russo, Russo, Series, Slater   +24 more
core   +4 more sources

The impact of Stieltjes' work on continued fractions and orthogonal polynomials

, 1993
Stieltjes' work on continued fractions and the orthogonal polynomials related to continued fraction expansions is summarized and an attempt is made to describe the influence of Stieltjes' ideas and work in research done after his death, with an emphasis ...
A Pringsheim, A Pringsheim, A Seiberg, AA Gonchar, AA Markov, AA Markov, AA Markov, AM Al-Rashed, AS Kronrod, AS Kronrod, B Baillaud, C Berg, C Brezinski, C Hermite, CL Siegel, D Hubert, D Hubert, D Hubert, DS Lubinsky, DV Chudnovsky, DV Chudnovsky, E Cosserat, E Hendriksen, EB Christoffel, EB Vleck Van, EB Vleck Van, EB Vleck Van, F Hausdorff, F Peherstorfer, FWJ Olver, G Darboux, G Darboux, G Freud, G Gasper, G Monegato, G Polya, G Szegö, G Szegö, G Szegő, G Vitali, G Vitali, GH Hardy, GH Hardy, H Bruns, H Hamburger, H Hamburger, H Hamburger, H Padé, H Padé, H Stahl, H Widom, H Widom, H Zaheer, HN Mhaskar, HS Wall, J Favard, JA Shohat, JA Shohat, JL Ullman, K Aomoto, K Possé, K Possé, L Carlitz, L Lorch, L Lorentzen, L Schur, LJ Rogers, LJ Rogers, M Alam, M Fekete, M Prévost, M Riesz, M Tsuji, MEH Ismail, MEH Ismail, MG Krein, MG Krein, MH Stone, ML Mehta, NI Akhiezer, NY Vilenkin, O Njåstad, O Perron, O Perron, P Erdős, P Montel, PG Nevai, PJ Forrester, PL Chebyshev, PL Pastro, R Askey, RA Gustafson, S Karlin, S Karlin, S Karlin, T Carleman, T Carleman, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TS Chihara, TS Chihara, TS Chihara, W Assche Van, W Gautschi, W Gautschi, W Gautschi, W Hahn, W Ledermann, WB Jones, WB Jones, WB Jones, YL Geronimus   +121 more
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Hausdorff measure of sets of Dirichlet non-improvable numbers

, 2017
Let $\psi:\mathbb R_+\to\mathbb R_+$ be a non-increasing function. A real number $x$ is said to be $\psi$-Dirichlet improvable if it admits an improvement to Dirichlet's theorem in the following sense: the system $$|qx-p|< \, \psi(t) \ \ {\text{and}} \ \
Hussain, Mumtaz, Kleinbock, Dmitry, Wadleigh, Nick, Wang, Bao-Wei   +3 more
core   +1 more source

A note on the algebraic growth rate of Poincar\'e series for Kleinian groups

, 2009
In this note we employ infinite ergodic theory to derive estimates for the algebraic growth rate of the Poincar\'e series for a Kleinian group at its critical exponent of convergence.Comment: 8 ...
B.O. Stratmann, C. Series, C. Series, D. Epstein, D. Sullivan, D. Sullivan, J. Aaronson, J. Fiala, M Kesseböhmer, M. Stadlbauer, M. Stadlbauer, M. Stadlbauer, R. Bowen, S.J. Patterson   +13 more
core   +1 more source

Periodic boxcar deconvolution and diophantine approximation

, 2004
We consider the nonparametric estimation of a periodic function that is observed in additive Gaussian white noise after convolution with a ``boxcar,'' the indicator function of an interval.
Johnstone, Iain M., Raimondo, Marc
core   +2 more sources

Homogenization of Maxwell's equations in periodic composites

, 2012
We consider the problem of homogenizing the Maxwell equations for periodic composites. The analysis is based on Bloch-Floquet theory. We calculate explicitly the reflection coefficient for a half-space, and derive and implement a computationally ...
A. Bensoussan, G. W. Milton, John C. Schotland, L. D. Landau, L. Tartar, O. A. Oleinik, R. Haydock, Vadim A. Markel, W. B. Jones   +8 more
core   +1 more source

The Ostrogradsky series and related probability measures

, 2006
We develop a metric and probabilistic theory for the Ostrogradsky representation of real numbers, i.e., the expansion of a real number $x$ in the following form: \begin{align*} x&= \sum_n\frac{(-1)^{n-1}}{q_1q_2... q_n}= &=\sum_n\frac{(-1)^{n-1}}{g_1(g_1+
Albeverio, S., Baranovskyi, O., Pratsiovytyi, M., Torbin, G.   +3 more
core   +1 more source