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1

Kaya, T. "Hamiltonian map approach to 1D Anderson model." European Physical Journal B 67, no. 2 (2009): 225–30. http://dx.doi.org/10.1140/epjb/e2009-00015-9.

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2

Molinari, L. "Scaling of distribution eigenvectors in a 1D Anderson model." Journal of Physics: Condensed Matter 5, no. 23 (1993): L319—L322. http://dx.doi.org/10.1088/0953-8984/5/23/002.

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3

Herrera-González, I. F., F. M. Izrailev, N. M. Makarov, and L. Tessieri. "1D Anderson model revisited: Band center anomaly for correlated disorder." Low Temperature Physics 43, no. 2 (2017): 284–89. http://dx.doi.org/10.1063/1.4976635.

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4

Deych, L. I., M. V. Erementchouk, and A. A. Lisyansky. "Scaling properties of 1D Anderson model with correlated diagonal disorder." Physica B: Condensed Matter 338, no. 1-4 (2003): 79–81. http://dx.doi.org/10.1016/s0921-4526(03)00464-2.

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5

de Moura, Francisco A. B. F., and Marcelo L. Lyra. "Delocalization in the 1D Anderson Model with Long-Range Correlated Disorder." Physical Review Letters 81, no. 17 (1998): 3735–38. http://dx.doi.org/10.1103/physrevlett.81.3735.

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6

Wischmann, B., and E. M�ller-Hartmann. "Level statistics and localization: A study of the 1D Anderson model." Zeitschrift f�r Physik B Condensed Matter 79, no. 1 (1990): 91–99. http://dx.doi.org/10.1007/bf01387829.

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7

Tessieri, L., I. F. Herrera-González, and F. M. Izrailev. "The band-centre anomaly in the 1D Anderson model with correlated disorder." Journal of Physics A: Mathematical and Theoretical 48, no. 35 (2015): 355001. http://dx.doi.org/10.1088/1751-8113/48/35/355001.

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8

Kantelhardt, Jan W., Stefanie Russ, Armin Bunde, Shlomo Havlin, and Itzhak Webman. "Comment on “Delocalization in the 1D Anderson Model with Long-Range Correlated Disorder”." Physical Review Letters 84, no. 1 (2000): 198. http://dx.doi.org/10.1103/physrevlett.84.198.

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9

Jitomirskaya, Svetlana, and Xiaowen Zhu. "Large Deviations of the Lyapunov Exponent and Localization for the 1D Anderson Model." Communications in Mathematical Physics 370, no. 1 (2019): 311–24. http://dx.doi.org/10.1007/s00220-019-03502-8.

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10

Tessieri, L., and F. M. Izrailev. "Anomalies in the 1D Anderson model: Beyond the band-centre and band-edge cases." Physica E: Low-dimensional Systems and Nanostructures 97 (March 2018): 401–8. http://dx.doi.org/10.1016/j.physe.2017.12.010.

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11

Santos, B., L. P. Viana, M. L. Lyra, and F. A. B. F. de Moura. "Diffusive, super-diffusive and ballistic transport in the long-range correlated 1D Anderson model." Solid State Communications 138, no. 12 (2006): 585–89. http://dx.doi.org/10.1016/j.ssc.2006.04.007.

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12

Tessieri, L., I. F. Herrera-González, and F. M. Izrailev. "Anomalous localisation near the band centre in the 1D Anderson model: Hamiltonian map approach." Physica E: Low-dimensional Systems and Nanostructures 44, no. 7-8 (2012): 1260–66. http://dx.doi.org/10.1016/j.physe.2012.01.024.

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13

Nguyen, B. P., and Kihong Kim. "Influence of weak nonlinearity on the 1D Anderson model with long-range correlated disorder." European Physical Journal B 84, no. 1 (2011): 79–82. http://dx.doi.org/10.1140/epjb/e2011-20608-9.

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14

Sánchez-Mendoza, Daniel. "The integrated density of states of the 1D discrete Anderson–Bernoulli model at rational energies." Journal of Mathematical Physics 63, no. 1 (2022): 012103. http://dx.doi.org/10.1063/5.0073805.

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15

Ouyang, Sheng de, Xian Wu Mi, Yue Bing Zhou, Xiong Wen Chen, and Ke Hui Song. "Quantum phase transition and entanglement of one-dimensional spinless fermion model." International Journal of Modern Physics B 30, no. 32 (2016): 1650235. http://dx.doi.org/10.1142/s0217979216502350.

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Motivated by recent developments in the field of 1D topological superconductors (TSCs), we investigate the phase transition properties of p-wave superconductor with 50 sites. In this paper, we first map the p-wave fermion model into the transverse [Formula: see text] model with an incommensurate modulated transverse field. We study the phase transition from TSC phase to Anderson localization phase by using imaginary time-evolving block decimation (TEBD) algorithm. By calculating the correlation function [Formula: see text], we numerically calculate the average correlation function in different
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16

Sánchez-Mendoza, Daniel. "Sharp bounds for the integrated density of states of a strongly disordered 1D Anderson–Bernoulli model." Journal of Mathematical Physics 62, no. 7 (2021): 072107. http://dx.doi.org/10.1063/5.0037707.

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17

Li, Shi-Feng, Cui-Yu-Yang Zhou, Jie-Yu Lu, Xin-Ye Zou, and Jian-Chun Cheng. "Probing of the topological phase transition in a disordered 1D acoustic system." AIP Advances 12, no. 9 (2022): 095111. http://dx.doi.org/10.1063/5.0114007.

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The methods to determine the Zak phase introduced by previous studies are usually limited to the periodic systems protected by the inversion symmetry. In this work, we build a one-dimensional chiral symmetric acoustic chain with controllable disorder to break its inversion symmetry. By the mean chiral displacement method, we detect the Zak phase in order to observe the topological phase transition induced purely by disorder. The finding exhibits the topological Anderson insulator phase, in which an otherwise trivial acoustic Su–Schrieffer–Heeger model is driven non-trivial by disorder accompan
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18

Penazzi, Gabriele, Peter Deák, Bálint Aradi, et al. "TiO2 Nanowires as a Wide Bandgap Dirac Material: a numerical study of impurity scattering and Anderson disorder." MRS Proceedings 1659 (2014): 187–91. http://dx.doi.org/10.1557/opl.2014.150.

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ABSTRACTDirac materials are characterized by exceptional mobility, orders of magnitude higher than any semiconductor, due to the massless pseudorelativistic nature of the Dirac fermions. These systems being semimetallic, the lack of a genuine band-gap poses a serious limitation to their possible applications in electronics. We recently demonstrated that thin TiO2 nanowires can exhibit 1D Dirac states similar to metallic carbon nanotubes, with the crucial difference that these states lie inside the conduction band in proximity of a wide band gap. We analyze the robustness of the Dirac states re
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19

AUBRY, S. "KAM TORI AND ABSENCE OF DIFFUSION OF A WAVE-PACKET IN THE 1D RANDOM DNLS MODEL." International Journal of Bifurcation and Chaos 21, no. 08 (2011): 2125–45. http://dx.doi.org/10.1142/s0218127411029677.

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When nonlinearity is added to an infinite system with purely discrete linear spectrum, Anderson modes become coupled with one another by terms of higher order than linear, allowing energy exchange between them. It is generally believed, on the basis of numerical simulations in such systems, that any initial wave-packet with finite energy spreads down chaotically to zero amplitude with second moment diverging as a power law of time, slower than standard diffusion (subdiffusion). We present results which suggest that the interpretation of spreading cannot be described as initially believed and t
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20

Pathak, Maitri R., and Ajay Nath. "Formation of Matter-Wave Droplet Lattices in Multi-Color Periodic Confinements." Symmetry 14, no. 5 (2022): 963. http://dx.doi.org/10.3390/sym14050963.

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In the paper, we introduce a new model that addresses the generation of quantum droplets (QDs) in the binary Bose–Einstein condensate (BEC) mixture with mutually symmetric spinor components loaded in multi-color optical lattices (MOLs) of commensurate wavelengths and tunable intensities. The considered MOL confinement is the combination of the four-color optical lattice with an exponential periodic trap, which includes the complete set of the Fourier harmonics. Employing the one-dimensional (1D) extended Gross–Pitäevskii equation (eGPE), we calculate the exact analytical form of the wavefuncti
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21

Rojas-Caro, Daniel Mauricio, María Liceth Cabrera-Ruiz, Erick Johan Illidge-Araujo, Juan David Badillo-Requena, Alessandro Batezelli, and Maika Gambús-Ordaz. "Caracterización petrofísica 1D de los yacimientos de la cuenca Canning, Australia." Boletín de Geología 42, no. 3 (2020): 99–122. http://dx.doi.org/10.18273/revbol.v42n3-2020004.

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La caracterización petrofísica de yacimientos desempeña un rol importante en la industria petrolera, siendo primordial en el gerenciamiento integral y la optimización de procesos de recuperación. El siguiente trabajo planteó el modelado petrofísico y de facies para las unidades formacionales del Grupo Grant y el yacimiento Anderson dentro del Bloque-Bunda-3D-2009 de la cuenca Canning en Australia. Esta propuesta fue dividida en dos etapas. La etapa conceptual se basó en el estudio de la migración y acumulación de hidrocarburos en el área, y la creación de un inventario desde la información reg
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22

Ma, Hongbing, Ke Zeng, Mitsutaka Nishimoto, et al. "Adoptive Therapy with Cord Blood Regulatory T Cells Can Treat Graft Vs Host Disease." Blood 134, Supplement_1 (2019): 1940. http://dx.doi.org/10.1182/blood-2019-129395.

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Background Adoptive therapy with regulatory T cells (Tregs) has already been established as a promising strategy for prevention of graft vs. host disease (GVHD) in clinical trials. Our group at MD Anderson Cancer Center has previously shown that a significantly lower dose of cord blood (CB) Tregs as compared to conventional T cells (Tcon) in the donor graft is able to prevent GVHD while preserving the graft vs. leukemia (GVL) effect. Therefore, we now examined the efficacy of using CB Tregs in the treatment of GVHD. Method: Xenogenic GVHD mouse model was established using NOD/SCID/IL2Rgnull (N
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23

Lyu, Mi-Ae, Joseph D. Khoury, Mitsutaka Nishimoto, et al. "Single Injection of Cord Blood Regulatory T Cells Can Delay the Manifestations of Systemic Lupus Erythematosus." Blood 134, Supplement_1 (2019): 1938. http://dx.doi.org/10.1182/blood-2019-131436.

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Background: Systemic Lupus Erythematosus (SLE) is a chronic inflammatory autoimmune disorder with multi-organ involvement, including skin rash, joint pain, neurological dysfunction, pulmonary fibrosis, vasculitis, and renal failure. Previously it has been reported that SLE patients have a lower percentage of regulatory T cells (Tregs) and when compared to healthy population, Tregs derived from SLE patients show defect in their suppressor function. Our group at MD Anderson Cancer Center has already shown that a significantly lower dose of cord blood (CB) Tregs as compared to conventional T cell
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24

Wu, Chengyue, Angela M. Jarrett, Zijian Zhou, et al. "Abstract P1-08-08: Forecasting treatment response to neoadjuvant systemic therapy in triple negative breast cancer viamathematical modeling and quantitative MRI." Cancer Research 82, no. 4_Supplement (2022): P1–08–08—P1–08–08. http://dx.doi.org/10.1158/1538-7445.sabcs21-p1-08-08.

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Abstract Introduction:. Patients with locally advanced triple-negative breast cancer (TNBC) typically receive neoadjuvant therapy (NAT) to downstage the tumor and to improve the outcome of the subsequent breast conservation surgery. A critical unmet need is the lack of a method to accurately predict how a patient with TNBC will respond to NAT before surgery. In this work, we applied a clinical-computational framework to predict response of TNBC early in the course of NAT, by integrating quantitative MRI with mechanism-based mathematical modeling. Methods:. Patients and Data. Multiparametric qu
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25

Burga, Rachel, Mithun Khattar, Scott Lajoie, et al. "166 Genetically engineered tumor-infiltrating lymphocytes (cytoTIL15) exhibit IL-2-independent persistence and anti-tumor efficacy against melanoma in vivo." Journal for ImmunoTherapy of Cancer 9, Suppl 2 (2021): A176. http://dx.doi.org/10.1136/jitc-2021-sitc2021.166.

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BackgroundAdoptive cell therapy with tumor-infiltrating lymphocytes (TILs) has demonstrated tremendous promise in clinical trials for patients with solid or metastatic tumors.1 However, current TIL therapy requires systemic administration of IL-2 to promote TIL survival, and IL-2-associated toxicities greatly limit patient eligibility and reduce the long-term clinical benefit of TIL therapy.2 3 Unlike IL-2, which promotes T cell exhaustion, IL-15 maintains antigen-independent TIL persistence through homeostatic proliferation and supports CD8+ T cell anti-tumor activity without stimulating regu
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26

Carpenter, Chris. "Fracture-Matrix Modeling Technique Unlocks CO2 Enhanced Shale Gas Recovery." Journal of Petroleum Technology 74, no. 01 (2022): 56–59. http://dx.doi.org/10.2118/0122-0056-jpt.

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This article, written by JPT Technology Editor Chris Carpenter, contains highlights of paper SPE 202222, “Fracture-Matrix Modeling of CO2 Enhanced Shale Gas Recovery in Compressible Shale,” by Dhruvit Satishchandra Berawala, SPE, Equinor, and Pål Østebø Andersen, University of Stavanger. The paper has not been peer reviewed. With technology available at the time of writing, only 3–10% of gas from tight shale is recovered economically through natural depletion, demonstrating a significant potential for enhanced shale gas recovery (ESGR). Experimental studies have demonstrated that shale kerogen/
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27

Montalban Bravo, Guillermo, Rashmi Kanagal-Shamanna, Koji Sasaki, et al. "Clinicopathologic Correlates and Natural History of Atypical Chronic Myeloid Leukemia." Blood 136, Supplement 1 (2020): 54–56. http://dx.doi.org/10.1182/blood-2020-137176.

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INTRODUCTION: Atypical chronic myeloid leukemia (aCML) is a rare subtype of myelodysplastic/myeloproliferative neoplasms (MDS/MPN) associated with shorter survival and higher risk of transformation to acute myeloid leukemia (AML) than other MDS/MPNs. However, the clonal mechanisms underlying transformation to leukemia remain unclear. There is a need to develop predictive models and identify the optimal therapeutic management of these pts. METHODS: We evaluated all consecutive pts with aCML treated at the University of Texas MD Anderson Cancer Center from 2005 to 2020. Whole bone marrow (BM) DN
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28

Montalban-Bravo, Guillermo, Rashmi Kanagal-Shamanna, Christopher B. Benton, et al. "Genomic Context and TP53 Allele Frequency Define Prognostic Subgroups and Response Outcomes in TP53 Mutated Myelodysplastic Syndromes." Blood 134, Supplement_1 (2019): 1711. http://dx.doi.org/10.1182/blood-2019-124978.

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INTRODUCTION: TP53 mutations are associated with adverse outcomes and shorter response to hypomethylating agents (HMA) in myelodysplastic syndromes (MDS). There is limited data evaluating the impact of the type, number, clonal size and patterns of TP53 mutations in response outcomes and prognosis. METHODS: We evaluated all patients with newly diagnosed myelodysplastic syndromes (MDS) treated at The University of Texas MD Anderson Cancer Center (MDACC) from 2013 to 2018. Genomic DNA was extracted from whole bone marrow aspirate samples and was subject to 28, 53 or 81-gene targeted PCR-based seq
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29

Perez, Diego de Miguel, Feliciano Barrón, Alessandro Russo, et al. "23 Validation of PD-L1 dynamic expression on extracellular vesicles as a predictor of response to immune-checkpoint inhibitors and survival in non-small cell lung cancer patients." Journal for ImmunoTherapy of Cancer 9, Suppl 2 (2021): A25—A26. http://dx.doi.org/10.1136/jitc-2021-sitc2021.023.

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BackgroundImmune-checkpoint inhibitors (ICIs) revolutionized the treatment of advanced non-small cell lung cancer (NSCLC).1–3 To date, tissue PD-L1 immunohistochemistry is one of the leading biomarkers for prediction of ICIs response but has several limitations.4 5Extracellular vesicles (EVs) are cell-derived structures involved in cell communication and represent a potential minimally invasive alternative to predicting ICI response.6–9 Based on this and our preliminary results presented at SITC 2020,10 we hypothesize that EV PD-L1 predicts response to ICIs in NSCLC.MethodsThis study evaluates
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30

Samra, Bachar, Guillaume Richard-Carpentier, Farhad Ravandi, et al. "Characteristics and Outcomes of Therapy-Related Versus De Novo Acute Myeloid Leukemia with Normal Karyotype." Blood 134, Supplement_1 (2019): 3834. http://dx.doi.org/10.1182/blood-2019-125330.

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Background: Therapy-related acute myeloid leukemia (t-AML) is associated with higher risk cytogenetics and disease biology, which partly account for poorer outcomes compared with de novo AML. Normal karyotype (NK) among patients (pts) with t-AML is rare, and the relative contribution of prior chemotherapy or radiotherapy exposure to outcomes of pts with AML with NK is uncertain. Methods: We reviewed all pts with newly diagnosed AML treated at MD Anderson Cancer Center between 2007 and 2019. Patients were separated into two groups (t-AML and de novo AML) based on their prior administration of c
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31

Karamlou, Amir H., Jochen Braumüller, Yariv Yanay, et al. "Quantum transport and localization in 1d and 2d tight-binding lattices." npj Quantum Information 8, no. 1 (2022). http://dx.doi.org/10.1038/s41534-022-00528-0.

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AbstractParticle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. The ideal experimental emulation of such a model utilizes simultaneous, high-fidelity control and readout of each lattice site in a highly coherent quantum system. Here, we experimentally study quantum transport in one-dimensional and two-dimensional tight-binding lattices, emulated by a fully controllable 3 × 3 array of superconducting qubits. We probe the propagation of entanglement throughout the lattice and extract the degree of localization in the And
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32

Roundy, R. C., D. Nemirovsky, V. Kagalovsky, and M. E. Raikh. "Giant Fluctuations of Local Magnetoresistance of Organic Spin Valves and the Non-Hermitian 1D Anderson Model." Physical Review Letters 112, no. 22 (2014). http://dx.doi.org/10.1103/physrevlett.112.226601.

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33

Hurtado, Omar. "A “lifting” method for exponential large deviation estimates and an application to certain non-stationary 1D lattice Anderson models." Journal of Mathematical Physics 64, no. 6 (2023). http://dx.doi.org/10.1063/5.0150430.

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Proofs of localization for random Schrödinger operators with sufficiently regular distribution of the potential can take advantage of the fractional moment method introduced by Aizenman–Molchanov [Commun. Math. Phys. 157(2), 245–278 (1993)] or use the classical Wegner estimate as part of another method, e.g., the multi-scale analysis introduced by Fröhlich–Spencer [Commun. Math. Phys. 88, 151–184 (1983)] and significantly developed by Klein and his collaborators. When the potential distribution is singular, most proofs rely crucially on exponential estimates of events corresponding to finite t
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