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0002014v1 | 2 | teresting to verify this [the existence of a KT transition for $$X Y$$ models
on a fractal lattice]”. Yet we do not see the relevance of such an obvious
claim.
We disagree however with the authors of [1] when they say “our ar-
gument does not depend on the existence of such a transition on that
particular percolating ... | <p>teresting to verify this [the existence of a KT transition for $$X Y$$ models
on a fractal lattice]”. Yet we do not see the relevance of such an obvious
claim.</p>
<p>We disagree however with the authors of [1] when they say “our ar-
gument does not depend on the existence of such a transition on that
particular per... | [{"type": "text", "coordinates": [128, 91, 498, 134], "content": "teresting to verify this [the existence of a KT transition for $$X Y$$ models\non a fractal lattice]\u201d. Yet we do not see the relevance of such an obvious\nclaim.", "block_type": "text", "index": 1}, {"type": "text", "coordinates": [128, 140, 498, 22... | [{"type": "text", "coordinates": [128, 94, 436, 106], "content": "teresting to verify this [the existence of a KT transition for ", "score": 1.0, "index": 1}, {"type": "inline_equation", "coordinates": [437, 95, 457, 104], "content": "X Y", "score": 0.47, "index": 2}, {"type": "text", "coordinates": [457, 94, 498, 106]... | [] | [{"type": "inline", "coordinates": [437, 95, 457, 104], "content": "X Y", "caption": ""}] | [] | [612.0, 792.0] | [{"type": "text", "text": "", "page_idx": 2}, {"type": "text", "text": "We disagree however with the authors of [1] when they say \u201cour argument does not depend on the existence of such a transition on that particular percolating cluster\u201d. Instead, after the conclusions of Ref. [2], we think that the non\u2013... | [{"category_id": 1, "poly": [358, 389, 1385, 389, 1385, 628, 358, 628], "score": 0.963}, {"category_id": 1, "poly": [358, 253, 1386, 253, 1386, 373, 358, 373], "score": 0.923}, {"category_id": 0, "poly": [277, 818, 532, 818, 532, 869, 277, 869], "score": 0.911}, {"category_id": 1, "poly": [290, 910, 1386, 910, 1386, 12... | {"preproc_blocks": [{"type": "text", "bbox": [128, 91, 498, 134], "lines": [{"bbox": [128, 94, 498, 106], "spans": [{"bbox": [128, 94, 436, 106], "score": 1.0, "content": "teresting to verify this [the existence of a KT transition for ", "type": "text"}, {"bbox": [437, 95, 457, 104], "score": 0.47, "content": "X Y", "t... | |
0002014v1 | 0 | # Reply to A. Patrascioiu’s and E. Seiler’s comment on our paper
# Percolation properties of the 2D Heisenberg
model
B. Allés $$\mathrm{a}$$ , J. J. Alonso $$\mathrm{b}$$ , C. Criado $$\mathrm{b}$$ , M. Pepe $$\mathrm{c}$$
$$\mathrm{a}$$ Dipartimento di Fisica, Universita di Milano-Bicocca
and INFN Sezione di Milano... | <h1>Reply to A. Patrascioiu’s and E. Seiler’s comment on our paper</h1>
<h1>Percolation properties of the 2D Heisenberg
model</h1>
<p>B. Allés $$\mathrm{a}$$ , J. J. Alonso $$\mathrm{b}$$ , C. Criado $$\mathrm{b}$$ , M. Pepe $$\mathrm{c}$$</p>
<p>$$\mathrm{a}$$ Dipartimento di Fisica, Universita di Milano-Bicocca
and I... | [{"type": "title", "coordinates": [134, 142, 464, 157], "content": "Reply to A. Patrascioiu\u2019s and E. Seiler\u2019s comment on our paper", "block_type": "title", "index": 1}, {"type": "title", "coordinates": [110, 170, 487, 206], "content": "Percolation properties of the 2D Heisenberg\nmodel", "block_type": "title"... | [{"type": "text", "coordinates": [135, 145, 463, 159], "content": "Reply to A. Patrascioiu\u2019s and E. Seiler\u2019s comment on our paper", "score": 1.0, "index": 1}, {"type": "text", "coordinates": [109, 172, 488, 194], "content": "Percolation properties of the 2D Heisenberg", "score": 1.0, "index": 2}, {"type": "te... | [] | [{"type": "inline", "coordinates": [210, 252, 216, 260], "content": "\\mathrm{a}", "caption": ""}, {"type": "inline", "coordinates": [294, 250, 299, 260], "content": "\\mathrm{b}", "caption": ""}, {"type": "inline", "coordinates": [365, 250, 370, 260], "content": "\\mathrm{b}", "caption": ""}, {"type": "inline", "coord... | [] | [612.0, 792.0] | [{"type": "text", "text": "Reply to A. Patrascioiu\u2019s and E. Seiler\u2019s comment on our paper ", "text_level": 1, "page_idx": 0}, {"type": "text", "text": "Percolation properties of the 2D Heisenberg model ", "text_level": 1, "page_idx": 0}, {"type": "text", "text": "B. All\u00e9s $\\mathrm{a}$ , J. J. Alonso $\\... | [{"category_id": 1, "poly": [277, 1247, 1385, 1247, 1385, 1567, 277, 1567], "score": 0.981}, {"category_id": 1, "poly": [275, 1072, 1383, 1072, 1383, 1232, 275, 1232], "score": 0.973}, {"category_id": 1, "poly": [323, 1711, 1383, 1711, 1383, 1992, 323, 1992], "score": 0.962}, {"category_id": 0, "poly": [307, 473, 1355,... | {"preproc_blocks": [{"type": "title", "bbox": [134, 142, 464, 157], "lines": [{"bbox": [135, 145, 463, 159], "spans": [{"bbox": [135, 145, 463, 159], "score": 1.0, "content": "Reply to A. Patrascioiu\u2019s and E. Seiler\u2019s comment on our paper", "type": "text"}], "index": 0}], "index": 0}, {"type": "title", "bbox"... | |
0002004v1 | 0 | # Three generation neutrino mixing is
compatible with all experiments
B. Hoeneisen and C. Marı´n
Universidad San Francisco de Quito
2 February 2000
# Abstract
We consider the minimal extension of the Standard Model with three
generations of massive neutrinos that mix. We then determine the
parameters of the model t... | <h1>Three generation neutrino mixing is
compatible with all experiments</h1>
<p>B. Hoeneisen and C. Marı´n</p>
<p>Universidad San Francisco de Quito
2 February 2000</p>
<h1>Abstract</h1>
<p>We consider the minimal extension of the Standard Model with three
generations of massive neutrinos that mix. We then determine th... | [{"type": "title", "coordinates": [149, 169, 447, 217], "content": "Three generation neutrino mixing is\ncompatible with all experiments", "block_type": "title", "index": 1}, {"type": "text", "coordinates": [212, 235, 382, 251], "content": "B. Hoeneisen and C. Mar\u0131\u00b4n", "block_type": "text", "index": 2}, {"typ... | [{"type": "text", "coordinates": [147, 172, 447, 195], "content": "Three generation neutrino mixing is", "score": 1.0, "index": 1}, {"type": "text", "coordinates": [164, 198, 430, 217], "content": "compatible with all experiments", "score": 1.0, "index": 2}, {"type": "text", "coordinates": [212, 238, 380, 251], "conten... | [] | [{"type": "block", "coordinates": [250, 548, 344, 578], "content": "", "caption": ""}, {"type": "block", "coordinates": [101, 613, 500, 661], "content": "", "caption": ""}, {"type": "inline", "coordinates": [172, 456, 182, 465], "content": "\\nu_{e}", "caption": ""}, {"type": "inline", "coordinates": [256, 456, 267, 46... | [] | [612.0, 792.0] | [{"type": "text", "text": "Three generation neutrino mixing is compatible with all experiments ", "text_level": 1, "page_idx": 0}, {"type": "text", "text": "B. Hoeneisen and C. Mar\u0131\u00b4n ", "page_idx": 0}, {"type": "text", "text": "Universidad San Francisco de Quito 2 February 2000 ", "page_idx": 0}, {"type": "t... | [{"category_id": 1, "poly": [282, 1132, 1370, 1132, 1370, 1494, 282, 1494], "score": 0.981}, {"category_id": 0, "poly": [414, 472, 1242, 472, 1242, 603, 414, 603], "score": 0.941}, {"category_id": 8, "poly": [691, 1520, 957, 1520, 957, 1605, 691, 1605], "score": 0.933}, {"category_id": 1, "poly": [282, 1899, 1367, 1899... | {"preproc_blocks": [{"type": "title", "bbox": [149, 169, 447, 217], "lines": [{"bbox": [147, 172, 447, 195], "spans": [{"bbox": [147, 172, 447, 195], "score": 1.0, "content": "Three generation neutrino mixing is", "type": "text"}], "index": 0}, {"bbox": [164, 198, 430, 217], "spans": [{"bbox": [164, 198, 430, 217], "sc... | |
0002004v1 | 4 | with 116 degrees of freedom, including the 8 discussed earlier plus the 108
measurements by the Homestake Collaboration from 1970.281 to 1994.388[12]
we obtain the allowed region shown in Figure 2.
The reliability of $$M_{2}^{2}\mathrm{~-~}M_{1}^{2}$$ depends on the correctness of the error as-
signed to the Homestake... | <p>with 116 degrees of freedom, including the 8 discussed earlier plus the 108
measurements by the Homestake Collaboration from 1970.281 to 1994.388[12]
we obtain the allowed region shown in Figure 2.</p>
<p>The reliability of $$M_{2}^{2}\mathrm{~-~}M_{1}^{2}$$ depends on the correctness of the error as-
signed to the ... | [{"type": "image", "coordinates": [179, 119, 407, 273], "content": "", "block_type": "image", "index": 1}, {"type": "text", "coordinates": [102, 366, 491, 409], "content": "with 116 degrees of freedom, including the 8 discussed earlier plus the 108\nmeasurements by the Homestake Collaboration from 1970.281 to 1994.388[... | [{"type": "text", "coordinates": [103, 369, 492, 383], "content": "with 116 degrees of freedom, including the 8 discussed earlier plus the 108", "score": 1.0, "index": 1}, {"type": "text", "coordinates": [101, 383, 490, 396], "content": "measurements by the Homestake Collaboration from 1970.281 to 1994.388[12]", "score... | [{"coordinates": [179, 119, 407, 273], "index": 9.5, "caption": " line.", "caption_coordinates": [100, 277, 493, 335]}] | [{"type": "inline", "coordinates": [212, 412, 262, 425], "content": "M_{2}^{2}\\mathrm{~-~}M_{1}^{2}", "caption": ""}, {"type": "inline", "coordinates": [207, 558, 217, 567], "content": "D", "caption": ""}, {"type": "inline", "coordinates": [222, 557, 244, 567], "content": "^{3}H e", "caption": ""}, {"type": "inline", ... | [] | [612.0, 792.0] | [{"type": "image", "img_path": "images/49ddd88f34f410230ca5004ca24c8d7cd3aae9d8c2efdbfc0b80f607e482766c.jpg", "img_caption": ["Figure 2: Detail of the \u201cupper island\u201d of Figure 1 for the fit with 116 degrees of freedom (see text) at $90\\%$ confidence level. The \u201clower island\u201d is symmetrical. The ver... | [{"category_id": 1, "poly": [281, 1501, 1371, 1501, 1371, 1987, 281, 1987], "score": 0.98}, {"category_id": 1, "poly": [281, 1301, 1369, 1301, 1369, 1499, 281, 1499], "score": 0.978}, {"category_id": 1, "poly": [284, 1018, 1366, 1018, 1366, 1137, 284, 1137], "score": 0.973}, {"category_id": 3, "poly": [498, 332, 1132, ... | {"preproc_blocks": [{"type": "image", "bbox": [179, 119, 407, 273], "blocks": [{"type": "image_body", "bbox": [179, 119, 407, 273], "group_id": 0, "lines": [{"bbox": [179, 119, 407, 273], "spans": [{"bbox": [179, 119, 407, 273], "score": 0.956, "type": "image", "image_path": "49ddd88f34f410230ca5004ca24c8d7cd3aae9d8c2e... | |
0002014v1 | 1 | "test was cited in [3] but the details of the numerics (temperature, size of\nthe lattice, etc.) and(...TRUNCATED) | "<p>test was cited in [3] but the details of the numerics (temperature, size of\nthe lattice, etc.) (...TRUNCATED) | "[{\"type\": \"text\", \"coordinates\": [128, 91, 498, 293], \"content\": \"test was cited in [3] bu(...TRUNCATED) | "[{\"type\": \"text\", \"coordinates\": [128, 94, 499, 107], \"content\": \"test was cited in [3] bu(...TRUNCATED) | [] | "[{\"type\": \"inline\", \"coordinates\": [445, 138, 484, 151], \"content\": \"\\\\epsilon=1/3\", \"(...TRUNCATED) | [] | [612.0, 792.0] | "[{\"type\": \"text\", \"text\": \"\", \"page_idx\": 1}, {\"type\": \"text\", \"text\": \"\\u2022 (2(...TRUNCATED) | "[{\"category_id\": 1, \"poly\": [357, 253, 1386, 253, 1386, 816, 357, 816], \"score\": 0.981}, {\"c(...TRUNCATED) | "{\"preproc_blocks\": [{\"type\": \"text\", \"bbox\": [128, 91, 498, 293], \"lines\": [{\"bbox\": [1(...TRUNCATED) | |
0002004v1 | 3 | "Table 3: Limits on the mixing probabilities from astrophysical, accelerator\nand reactor experiment(...TRUNCATED) | "<p>Table 3: Limits on the mixing probabilities from astrophysical, accelerator\nand reactor experim(...TRUNCATED) | "[{\"type\": \"table\", \"coordinates\": [162, 141, 432, 290], \"content\": \"\", \"block_type\": \"(...TRUNCATED) | "[{\"type\": \"text\", \"coordinates\": [101, 311, 492, 325], \"content\": \"Table 3: Limits on the (...TRUNCATED) | "[{\"coordinates\": [178, 503, 406, 659], \"index\": 18.0, \"caption\": \" confidence.\", \"caption_(...TRUNCATED) | [] | "[{\"coordinates\": [162, 141, 432, 290], \"content\": \"\", \"caption\": \"\", \"footnote\": \"\"},(...TRUNCATED) | [612.0, 792.0] | "[{\"type\": \"table\", \"img_path\": \"images/e34693f6a4630b6d50b7fea14902eda53eacb639273a3b7d28541(...TRUNCATED) | "[{\"category_id\": 5, \"poly\": [450, 393, 1201, 393, 1201, 806, 450, 806], \"score\": 0.969, \"htm(...TRUNCATED) | "{\"preproc_blocks\": [{\"type\": \"table\", \"bbox\": [162, 141, 432, 290], \"blocks\": [{\"type\":(...TRUNCATED) | |
0002004v1 | 1 | "Table 1: Observed solar electron-type neutrino flux, compared to the Stan-\ndard Solar Model (SSM) (...TRUNCATED) | "<p>Table 1: Observed solar electron-type neutrino flux, compared to the Stan-\ndard Solar Model (SS(...TRUNCATED) | "[{\"type\": \"table\", \"coordinates\": [112, 125, 481, 231], \"content\": \"\", \"block_type\": \"(...TRUNCATED) | "[{\"type\": \"text\", \"coordinates\": [101, 252, 492, 268], \"content\": \"Table 1: Observed solar(...TRUNCATED) | [] | "[{\"type\": \"block\", \"coordinates\": [142, 366, 451, 397], \"content\": \"\", \"caption\": \"\"}(...TRUNCATED) | "[{\"coordinates\": [112, 125, 481, 231], \"content\": \"\", \"caption\": \"\", \"footnote\": \"\"}](...TRUNCATED) | [612.0, 792.0] | "[{\"type\": \"table\", \"img_path\": \"images/58f4e515357520a89a5c257eeb2486ac2b1e29825cfbe284d732c(...TRUNCATED) | "[{\"category_id\": 1, \"poly\": [282, 1118, 1368, 1118, 1368, 1721, 282, 1721], \"score\": 0.981}, (...TRUNCATED) | "{\"preproc_blocks\": [{\"type\": \"table\", \"bbox\": [112, 125, 481, 231], \"blocks\": [{\"type\":(...TRUNCATED) | |
0002004v1 | 2 | "Table 2: Ratio of the numbers of observed and predicted electron-type and\nmuon-type neutrinos as a(...TRUNCATED) | "<p>Table 2: Ratio of the numbers of observed and predicted electron-type and\nmuon-type neutrinos a(...TRUNCATED) | "[{\"type\": \"table\", \"coordinates\": [181, 125, 412, 202], \"content\": \"\", \"block_type\": \"(...TRUNCATED) | "[{\"type\": \"text\", \"coordinates\": [101, 224, 492, 238], \"content\": \"Table 2: Ratio of the n(...TRUNCATED) | [] | "[{\"type\": \"inline\", \"coordinates\": [321, 270, 334, 280], \"content\": \"R_{e}\", \"caption\":(...TRUNCATED) | "[{\"coordinates\": [181, 125, 412, 202], \"content\": \"\", \"caption\": \"\", \"footnote\": \"\"}](...TRUNCATED) | [612.0, 792.0] | "[{\"type\": \"table\", \"img_path\": \"images/77d9acb6b86f9c9a84ea1fbf27649993b710e71540165032c1de6(...TRUNCATED) | "[{\"category_id\": 1, \"poly\": [280, 957, 1369, 957, 1369, 1515, 280, 1515], \"score\": 0.982}, {\(...TRUNCATED) | "{\"preproc_blocks\": [{\"type\": \"table\", \"bbox\": [181, 125, 412, 202], \"blocks\": [{\"type\":(...TRUNCATED) | |
0002004v1 | 6 | "[5] KAMIOKANDE Collab., Y. Fukuda et al., Phys. Rev. Lett. 77 (1996)\n1683\n[6] Super-Kamiokande Co(...TRUNCATED) | "<p>[5] KAMIOKANDE Collab., Y. Fukuda et al., Phys. Rev. Lett. 77 (1996)\n1683\n[6] Super-Kamiokande(...TRUNCATED) | "[{\"type\": \"text\", \"coordinates\": [99, 126, 495, 390], \"content\": \"[5] KAMIOKANDE Collab., (...TRUNCATED) | "[{\"type\": \"text\", \"coordinates\": [101, 130, 491, 146], \"content\": \"[5] KAMIOKANDE Collab.,(...TRUNCATED) | [] | [] | [] | [612.0, 792.0] | [{"type": "text", "text": "", "page_idx": 6}] | "[{\"category_id\": 1, \"poly\": [277, 350, 1376, 350, 1376, 1086, 277, 1086], \"score\": 0.75}, {\"(...TRUNCATED) | "{\"preproc_blocks\": [{\"type\": \"text\", \"bbox\": [99, 126, 495, 390], \"lines\": [{\"bbox\": [1(...TRUNCATED) | |
0002004v1 | 5 | "$$T_{f}$$ : their temperature has lagged below the temperature of photons due to\nthe anihilation o(...TRUNCATED) | "<p>$$T_{f}$$ : their temperature has lagged below the temperature of photons due to\nthe anihilatio(...TRUNCATED) | "[{\"type\": \"image\", \"coordinates\": [179, 119, 407, 273], \"content\": \"\", \"block_type\": \"(...TRUNCATED) | "[{\"type\": \"inline_equation\", \"coordinates\": [102, 343, 115, 356], \"content\": \"T_{f}\", \"s(...TRUNCATED) | "[{\"coordinates\": [179, 119, 407, 273], \"index\": 9.0, \"caption\": \".\", \"caption_coordinates\(...TRUNCATED) | "[{\"type\": \"inline\", \"coordinates\": [102, 343, 115, 356], \"content\": \"T_{f}\", \"caption\":(...TRUNCATED) | [] | [612.0, 792.0] | "[{\"type\": \"image\", \"img_path\": \"images/2ce2465af6c296f9c4eea471476bfc3a9c2bf97bb24d3b8eb832c(...TRUNCATED) | "[{\"category_id\": 1, \"poly\": [283, 1146, 1368, 1146, 1368, 1386, 283, 1386], \"score\": 0.979}, (...TRUNCATED) | "{\"preproc_blocks\": [{\"type\": \"image\", \"bbox\": [179, 119, 407, 273], \"blocks\": [{\"type\":(...TRUNCATED) |
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