Results 11 to 20 of about 48,781 (279)
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
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A Limit Theorem for the Moment of Self-Normalized Sums
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
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On Small Deviation Asymptotics In L2 of Some Mixed Gaussian Processes
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
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NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS
We consider the spectral behavior and noncommutative geometry of commutators $[P,f]$ , where ...
HEIKO GIMPERLEIN, MAGNUS GOFFENG
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ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES
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
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Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials [PDF]
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]
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
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Second-Order Moment Convergence Rates for Spectral Statistics of Random Matrices
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
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The number of binary rotation words [PDF]
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
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Precise asymptotics for beta ensembles
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
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