Results 11 to 20 of about 48,781 (279)

Precise Extrapolation of the Correlation Function Asymptotics in Uniform Tensor Network States with Application to the Bose-Hubbard and XXZ Models

open access: yesPhysical Review X, 2018
We analyze the problem of extracting the correlation length from infinite matrix product states (MPS) and corner transfer matrix (CTM) simulations. When the correlation length is calculated directly from the transfer matrix, it is typically significantly
Marek M. Rams   +2 more
doaj   +2 more sources

A Limit Theorem for the Moment of Self-Normalized Sums

open access: yesJournal of Inequalities and Applications, 2009
Let {X,Xn;n<1} be a sequence of independent and identically distributed ( i.i.d.) random variables and X is in the domain of attraction of the normal law and EX=0.
Qing-pei Zang
doaj   +2 more sources

On Small Deviation Asymptotics In L2 of Some Mixed Gaussian Processes

open access: yesMathematics, 2018
We study the exact small deviation asymptotics with respect to the Hilbert norm for some mixed Gaussian processes. The simplest example here is the linear combination of the Wiener process and the Brownian bridge.
Alexander I. Nazarov   +1 more
doaj   +1 more source

NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS

open access: yesForum of Mathematics, Sigma, 2017
We consider the spectral behavior and noncommutative geometry of commutators $[P,f]$ , where ...
HEIKO GIMPERLEIN, MAGNUS GOFFENG
doaj   +1 more source

ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES

open access: yesForum of Mathematics, Pi, 2020
A meander is a topological configuration of a line and a simple closed curve in the plane (or a pair of simple closed curves on the 2-sphere) intersecting transversally. Meanders can be traced back to H.
VINCENT DELECROIX   +3 more
doaj   +1 more source

Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials [PDF]

open access: yes, 2005
We consider discrete one-dimensional Schroedinger operators whose potentials decay asymptotically like an inverse square. In the super-critical case, where there are infinitely many discrete eigenvalues, we compute precise asymptotics of the number of ...
Damanik, David, Teschl, Gerald
core   +4 more sources

Effective operators for Robin eigenvalues in domains with corners [PDF]

open access: yes, 2020
We study the eigenvalues of the Laplacian with a strong attractive Robin boundary condition in curvilinear polygons. It was known from previous works that the asymptotics of several first eigenvalues is essentially determined by the corner openings ...
Khalile, Magda   +2 more
core   +3 more sources

Second-Order Moment Convergence Rates for Spectral Statistics of Random Matrices

open access: yesAbstract and Applied Analysis, 2013
This paper considers the precise asymptotics of the spectral statistics of random matrices. Following the ideas of Gut and Spătaru (2000) and Liu and Lin (2006) on the precise asymptotics of i.i.d.
Junshan Xie
doaj   +1 more source

The number of binary rotation words [PDF]

open access: yes, 2013
We consider binary rotation words generated by partitions of the unit circle to two intervals and give a precise formula for the number of such words of length n. We also give the precise asymptotics for it, which happens to be O(n^4).
Frid, Anna E., Jamet, Damien
core   +4 more sources

Precise asymptotics for beta ensembles

open access: yesIndian Journal of Pure and Applied Mathematics, 2013
The edge properties of the spectrum of random matrices are investigated. The paper extends results by \textit{Z. Su} [Acta Math. Sin., Engl. Ser. 24, No. 6, 971--982 (2008; Zbl 1154.60034)]) who first obtained precise asymptotic results for the largest eigenvalues of the Gaussian unitary ensemble and of the Laguerre unitary ensemble for \(\beta = 2 ...
Zeng, Xingyuan, Hou, Zhenting
openaire   +1 more source

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