Browsing by Author "Berkolaiko, Gregory"
Now showing items 1-19 of 19
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Jia, Haichen (2021-08-18)Since the Bose-Einstein condensation (BEC) of magnons in ferromagnetic films was realized, it has drawn much attention due to the unique property of magnon spectrum. Namely, the BEC has two components corresponding to the ...
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Hatinoglu, Burak (2020-07-02)In this dissertation we consider methods from complex analysis to solve inverse spectral problems for Schroedinger operators on finite intervals and semi-infinite Jacobi operators. After discussing necessary background ...
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Liu, Wen (2016-06-14)In this dissertation, we analyze the spectrum of the Laplace operator on graphs. In particular, we are interested in generic eigenpairs. We consider a wide range of vertex conditions on vertices of a quantum graph. ...
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Kuipers, Jack; Engl, Thomas; Berkolaiko, Gregory; Petitjean, Cyril; Waltner, Daniel; Richter, Klaus (Physical Review B - Condensed Matter and Materials Physics, 2011)
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Singh, Trijya (2012-10-19)Small area estimation is an arena that has seen rapid development in the past 50 years, due to its widespread applicability in government projects, marketing research and many other areas. However, it is often difficult ...
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Feng, Yixiao (2021-05-24)Network internal performance statistics are crucial for the control, operation and management of computer networks. This research work explores multiscale wavelet energy tomography using Discrete Wavelet Transform (DWT) ...
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Ettehad, Mahmood (2020-08-19)A communication network can be modeled as a directed connected graph with edge weights that characterize performance metrics such as loss and delay. Network tomography aims to infer these edge weights from their pathwise ...
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Sun, Chen (2018-05-16)More than ten years ago, Bose-Einstein condensation (BEC) of magnons (or quantized spin waves) was experimentally observed in yttrium iron garnet (YIG) films at room temperature. Since BEC and superfluidity are closely ...
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Lan, Ruomeng (2019-10-25)We study the spectral stability of the solitary wave solutions to the nonlinear Dirac equations. We focus on two types of nonlinearity: the Soler type and the Coulomb type. For the Soler model, we apply the Evans function ...
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Tikhonov, Konstantin S (2015-12-21)In this dissertation, the results obtained during my PhD work are presented. As an introduction, the brief review of the theory of superconducting fluctuations and a short discussion of experimental situation in the field ...
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Kuipers, Jack; Waltner, Daniel; Petitjean, Cyril; Berkolaiko, Gregory; Richter, Klaus (Physical Review Letters, 2010)
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Do, Ngoc Thanh (2016-05-31)In this dissertation we deal with some spectral problems for periodic differential operators originating from mathematical physics. We begin by using quantum graphs to model a particular graphyne and related nanotubes. The ...
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Kha, Minh Tuan (2017-05-30)In this dissertation, we study some spectral problems for periodic elliptic operators arising in solid state physics, material sciences, and differential geometry. More precisely, we are interested in dealing with various ...
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Ye, Jiayan (2020-05-14)In this article we consider two probability models: stationary diffusion limited aggregation (SDLA) and finitary random interlacements (FRI). SDLA is a stochastic process on the upper half planar lattice, growing from an ...
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Berkolaiko, Gregory; Kuipers, Jack (New Journal of Physics, 2011)
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Wagner, Luke A. (2010-01-14)To work effectively, programmers need tools to support their typical development activities, such as the creation, analysis, and transformation of source code. Analysis and transformation tools can be difficult to write ...
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Berkolaiko, Gregory; Kuipers, Jack (Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2012)
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Band, Ram; Berkolaiko, Gregory (Physical Review Letters, 2013)
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Weyand, Tracy Kathleen (2014-07-07)In this dissertation, we analyze characteristics of eigenfunctions of the Schrödinger operator on graphs. In particular, we are interested in the zeros of the eigenfunctions and their relation to the spectrum of the magnetic ...